Siirry suoraan sisältöön

Expressions and EquationsLaajuus (5 op)

Tunnus: TT00ES95

Laajuus

5 op

Opetuskieli

  • englanti

Osaamistavoitteet

The student is able to perceive the meaning and interpretation of mathematical expressions. The student knows how to use the Cartesian coordinate system to visualize pairs of numbers and how to plot elementary functions. The student has a clear view of the characteristic properties of the graphs of most important elementary functions.
-----
The student is able to perform calculations with integers, fractions and decimal numbers. The student can simplify symbolic expressions composed of basic mathematical operations. The student can plot elementary functions. The student can solve for the angles of a given triangle.
The student is able to solve linear and quadratic equations, pairs of linear equations and most common types of equations containing roots, logarithms or exponentials.

Sisältö

Integers, basic algebraic operations and their rules. Fractions and calculations with fractions. Using letters as symbols of numbers. Basic rules of manipulating expressions that contain symbols and numbers. Basic rules for simplifying mathematical expressions. Decimal numbers and accuracy of calculations with decimal numbers. Roots and fractional powers. Solving linear equations and pairs of linear equations. Solving simple equations containing roots. Coordinate system, straight line, parabola and other basic functions. Direct and inverse proportionality. Trigonometric functions solving the right angle. Exponential and logarithmic functions and related simple equations.

Arviointikriteeri, hyväksytty/hylätty

Grading is pass after Student has done at least 80% of it.

Lisätiedot

Course prepares for UAS studies: The goal is to develop mathematical skills.

Course is delivered via Metropolia's Viope environment and it's 100% online (Self-Study) course.

Ilmoittautumisaika

02.07.2024 - 31.07.2024

Ajoitus

01.08.2024 - 31.07.2025

Opintopistemäärä

5 op

Toteutustapa

Lähiopetus

Opetuskielet
  • Englanti
Koulutus
  • Tieto- ja viestintätekniikan tutkinto-ohjelma
Opettaja
  • Janne Salonen
Vastuuopettaja

Janne Salonen

Ryhmät
  • VIOPE_NonStop7
    VIOPE_NonStop7

Tavoitteet

The student is able to perceive the meaning and interpretation of mathematical expressions. The student knows how to use the Cartesian coordinate system to visualize pairs of numbers and how to plot elementary functions. The student has a clear view of the characteristic properties of the graphs of most important elementary functions.
-----
The student is able to perform calculations with integers, fractions and decimal numbers. The student can simplify symbolic expressions composed of basic mathematical operations. The student can plot elementary functions. The student can solve for the angles of a given triangle.
The student is able to solve linear and quadratic equations, pairs of linear equations and most common types of equations containing roots, logarithms or exponentials.

Sisältö

Integers, basic algebraic operations and their rules. Fractions and calculations with fractions. Using letters as symbols of numbers. Basic rules of manipulating expressions that contain symbols and numbers. Basic rules for simplifying mathematical expressions. Decimal numbers and accuracy of calculations with decimal numbers. Roots and fractional powers. Solving linear equations and pairs of linear equations. Solving simple equations containing roots. Coordinate system, straight line, parabola and other basic functions. Direct and inverse proportionality. Trigonometric functions solving the right angle. Exponential and logarithmic functions and related simple equations.

Arviointiasteikko

Hyväksytty/Hylätty

Arviointikriteeri, hyväksytty/hylätty

Grading is pass after Student has done at least 80% of it.

Lisätiedot

Course prepares for UAS studies: The goal is to develop mathematical skills.

Course is delivered via Metropolia's Viope environment and it's 100% online (Self-Study) course.

Ajoitus

16.04.2024 - 31.12.2025

Opintopistemäärä

5 op

Virtuaaliosuus

5 op

Toteutustapa

Etäopetus

Yksikkö

ICT ja tuotantotalous

Toimipiste

Karaportti 2

Opetuskielet
  • Englanti
Paikat

0 - 5000

Koulutus
  • Tieto- ja viestintätekniikan tutkinto-ohjelma
Opettaja
  • Virve Prami
Vastuuopettaja

Janne Salonen

Ryhmät
  • VIOPE_2025_MAKSULLINEN_JARJESTELMA
    VIOPE 2025 MAKSULLINEN JARJESTELMA
  • VIOPE_2024_MAKSULLINEN_JARJESTELMA
    Viope TiVi (NonStop), vuosi 2024

Tavoitteet

The student is able to perceive the meaning and interpretation of mathematical expressions. The student knows how to use the Cartesian coordinate system to visualize pairs of numbers and how to plot elementary functions. The student has a clear view of the characteristic properties of the graphs of most important elementary functions.
-----
The student is able to perform calculations with integers, fractions and decimal numbers. The student can simplify symbolic expressions composed of basic mathematical operations. The student can plot elementary functions. The student can solve for the angles of a given triangle.
The student is able to solve linear and quadratic equations, pairs of linear equations and most common types of equations containing roots, logarithms or exponentials.

Sisältö

Integers, basic algebraic operations and their rules. Fractions and calculations with fractions. Using letters as symbols of numbers. Basic rules of manipulating expressions that contain symbols and numbers. Basic rules for simplifying mathematical expressions. Decimal numbers and accuracy of calculations with decimal numbers. Roots and fractional powers. Solving linear equations and pairs of linear equations. Solving simple equations containing roots. Coordinate system, straight line, parabola and other basic functions. Direct and inverse proportionality. Trigonometric functions solving the right angle. Exponential and logarithmic functions and related simple equations.

Aika ja paikka

Because course is 100% online (Self-Study) course, study place and timetable is up to Student her-/himself.

Oppimateriaalit

Online

Opetusmenetelmät

100% online (Self-Study) course.

Harjoittelu- ja työelämäyhteistyö

N/A

Tenttien ajankohdat ja uusintamahdollisuudet

Online

Kansainvälisyys

N/A

Toteutuksen valinnaiset suoritustavat

N/A

Opiskelijan ajankäyttö ja kuormitus

Up to Student her-/himself.

Sisällön jaksotus

Up to Student her-/himself.

Arviointiasteikko

Hyväksytty/Hylätty

Arviointikriteeri, hyväksytty/hylätty

Grading is pass after Student has done at least 80% of it.

Arviointimenetelmät ja arvioinnin perusteet

When you have done at least 80% of tasks, please send email to viopesupport@metropolia.fi.

Lisätiedot

Course prepares for UAS studies: The goal is to develop mathematical skills.

Course is delivered via Metropolia's Viope environment and it's 100% online (Self-Study) course.

Ajoitus

01.01.2024 - 31.12.2027

Opintopistemäärä

5 op

Virtuaaliosuus

5 op

Toteutustapa

Etäopetus

Yksikkö

ICT ja tuotantotalous

Toimipiste

Karaportti 2

Opetuskielet
  • Englanti
Paikat

0 - 10000

Koulutus
  • Degree Programme in Information Technology
Opettaja
  • Mika Hyyryläinen
Ryhmät
  • IT_path_180_ects
    Information Technology, Open path 180 ECTS

Tavoitteet

The student is able to perceive the meaning and interpretation of mathematical expressions. The student knows how to use the Cartesian coordinate system to visualize pairs of numbers and how to plot elementary functions. The student has a clear view of the characteristic properties of the graphs of most important elementary functions.
-----
The student is able to perform calculations with integers, fractions and decimal numbers. The student can simplify symbolic expressions composed of basic mathematical operations. The student can plot elementary functions. The student can solve for the angles of a given triangle.
The student is able to solve linear and quadratic equations, pairs of linear equations and most common types of equations containing roots, logarithms or exponentials.

Sisältö

Integers, basic algebraic operations and their rules. Fractions and calculations with fractions. Using letters as symbols of numbers. Basic rules of manipulating expressions that contain symbols and numbers. Basic rules for simplifying mathematical expressions. Decimal numbers and accuracy of calculations with decimal numbers. Roots and fractional powers. Solving linear equations and pairs of linear equations. Solving simple equations containing roots. Coordinate system, straight line, parabola and other basic functions. Direct and inverse proportionality. Trigonometric functions solving the right angle. Exponential and logarithmic functions and related simple equations.

Aika ja paikka

Because course is 100% online (Self-Study) course, study place and timetable is up to Student her-/himself.

Oppimateriaalit

Online

Opetusmenetelmät

100% online (Self-Study) course.

Harjoittelu- ja työelämäyhteistyö

N/A

Tenttien ajankohdat ja uusintamahdollisuudet

Online

Kansainvälisyys

N/A

Toteutuksen valinnaiset suoritustavat

N/A

Opiskelijan ajankäyttö ja kuormitus

Up to Student her-/himself.

Sisällön jaksotus

Up to Student her-/himself.

Lisätietoja opiskelijoille

ENROLLING
Open UAS and CampusOnline Student via https://hakija.oma.metropolia.fi/

Metropolia's Degree Student: https://vw4.viope.com/login?org=metropolia
- Register to system -> Click the link “Enroll on the course”
- Choose any course of (NonStop).
- Fill the others fields

Arviointiasteikko

Hyväksytty/Hylätty

Arviointikriteeri, hyväksytty/hylätty

Grading is pass after Student has done at least 80% of it.

Arviointimenetelmät ja arvioinnin perusteet

When you have done at least 80% of tasks, please send email to viopesupport@metropolia.fi.

Lisätiedot

Course prepares for UAS studies: The goal is to develop mathematical skills.

Course is delivered via Metropolia's Viope environment and it's 100% online (Self-Study) course.

Ajoitus

01.01.2024 - 31.07.2025

Opintopistemäärä

5 op

Virtuaaliosuus

5 op

Toteutustapa

Etäopetus

Yksikkö

ICT ja tuotantotalous

Toimipiste

Karaportti 2

Opetuskielet
  • Englanti
Paikat

0 - 5000

Koulutus
  • Tieto- ja viestintätekniikan tutkinto-ohjelma
Opettaja
  • Mika Hyyryläinen
  • Virve Prami
Vastuuopettaja

Janne Salonen

Ryhmät
  • VIOPE_2024_MAKSULLINEN_JARJESTELMA
    Viope TiVi (NonStop), vuosi 2024

Tavoitteet

The student is able to perceive the meaning and interpretation of mathematical expressions. The student knows how to use the Cartesian coordinate system to visualize pairs of numbers and how to plot elementary functions. The student has a clear view of the characteristic properties of the graphs of most important elementary functions.
-----
The student is able to perform calculations with integers, fractions and decimal numbers. The student can simplify symbolic expressions composed of basic mathematical operations. The student can plot elementary functions. The student can solve for the angles of a given triangle.
The student is able to solve linear and quadratic equations, pairs of linear equations and most common types of equations containing roots, logarithms or exponentials.

Sisältö

Integers, basic algebraic operations and their rules. Fractions and calculations with fractions. Using letters as symbols of numbers. Basic rules of manipulating expressions that contain symbols and numbers. Basic rules for simplifying mathematical expressions. Decimal numbers and accuracy of calculations with decimal numbers. Roots and fractional powers. Solving linear equations and pairs of linear equations. Solving simple equations containing roots. Coordinate system, straight line, parabola and other basic functions. Direct and inverse proportionality. Trigonometric functions solving the right angle. Exponential and logarithmic functions and related simple equations.

Aika ja paikka

Because course is 100% online (Self-Study) course, study place and timetable is up to Student her-/himself.

Oppimateriaalit

Online

Opetusmenetelmät

100% online (Self-Study) course.

Harjoittelu- ja työelämäyhteistyö

N/A

Tenttien ajankohdat ja uusintamahdollisuudet

Online

Kansainvälisyys

N/A

Toteutuksen valinnaiset suoritustavat

N/A

Opiskelijan ajankäyttö ja kuormitus

Up to Student her-/himself.

Sisällön jaksotus

Up to Student her-/himself.

Arviointiasteikko

Hyväksytty/Hylätty

Arviointikriteeri, hyväksytty/hylätty

Grading is pass after Student has done at least 80% of it.

Arviointimenetelmät ja arvioinnin perusteet

When you have done at least 80% of tasks, please send email to viopesupport@metropolia.fi.

Lisätiedot

Course prepares for UAS studies: The goal is to develop mathematical skills.

Course is delivered via Metropolia's Viope environment and it's 100% online (Self-Study) course.

Ilmoittautumisaika

02.07.2024 - 31.07.2024

Ajoitus

01.01.2024 - 31.07.2024

Opintopistemäärä

5 op

Toteutustapa

Lähiopetus

Opetuskielet
  • Englanti
Koulutus
  • Tieto- ja viestintätekniikan tutkinto-ohjelma
Opettaja
  • Janne Salonen
Vastuuopettaja

Janne Salonen

Ryhmät
  • VIOPE_NonStop6
    VIOPE_NonStop6

Tavoitteet

The student is able to perceive the meaning and interpretation of mathematical expressions. The student knows how to use the Cartesian coordinate system to visualize pairs of numbers and how to plot elementary functions. The student has a clear view of the characteristic properties of the graphs of most important elementary functions.
-----
The student is able to perform calculations with integers, fractions and decimal numbers. The student can simplify symbolic expressions composed of basic mathematical operations. The student can plot elementary functions. The student can solve for the angles of a given triangle.
The student is able to solve linear and quadratic equations, pairs of linear equations and most common types of equations containing roots, logarithms or exponentials.

Sisältö

Integers, basic algebraic operations and their rules. Fractions and calculations with fractions. Using letters as symbols of numbers. Basic rules of manipulating expressions that contain symbols and numbers. Basic rules for simplifying mathematical expressions. Decimal numbers and accuracy of calculations with decimal numbers. Roots and fractional powers. Solving linear equations and pairs of linear equations. Solving simple equations containing roots. Coordinate system, straight line, parabola and other basic functions. Direct and inverse proportionality. Trigonometric functions solving the right angle. Exponential and logarithmic functions and related simple equations.

Arviointiasteikko

Hyväksytty/Hylätty

Arviointikriteeri, hyväksytty/hylätty

Grading is pass after Student has done at least 80% of it.

Lisätiedot

Course prepares for UAS studies: The goal is to develop mathematical skills.

Course is delivered via Metropolia's Viope environment and it's 100% online (Self-Study) course.

Ilmoittautumisaika

02.07.2024 - 31.07.2024

Ajoitus

01.01.2024 - 31.07.2024

Opintopistemäärä

5 op

Toteutustapa

Lähiopetus

Opetuskielet
  • Englanti
Koulutus
  • Tieto- ja viestintätekniikan tutkinto-ohjelma
Opettaja
  • Janne Salonen
Vastuuopettaja

Janne Salonen

Ryhmät
  • Viope_nonstop_9
    Viope_nonstop_9

Tavoitteet

The student is able to perceive the meaning and interpretation of mathematical expressions. The student knows how to use the Cartesian coordinate system to visualize pairs of numbers and how to plot elementary functions. The student has a clear view of the characteristic properties of the graphs of most important elementary functions.
-----
The student is able to perform calculations with integers, fractions and decimal numbers. The student can simplify symbolic expressions composed of basic mathematical operations. The student can plot elementary functions. The student can solve for the angles of a given triangle.
The student is able to solve linear and quadratic equations, pairs of linear equations and most common types of equations containing roots, logarithms or exponentials.

Sisältö

Integers, basic algebraic operations and their rules. Fractions and calculations with fractions. Using letters as symbols of numbers. Basic rules of manipulating expressions that contain symbols and numbers. Basic rules for simplifying mathematical expressions. Decimal numbers and accuracy of calculations with decimal numbers. Roots and fractional powers. Solving linear equations and pairs of linear equations. Solving simple equations containing roots. Coordinate system, straight line, parabola and other basic functions. Direct and inverse proportionality. Trigonometric functions solving the right angle. Exponential and logarithmic functions and related simple equations.

Arviointiasteikko

Hyväksytty/Hylätty

Arviointikriteeri, hyväksytty/hylätty

Grading is pass after Student has done at least 80% of it.

Lisätiedot

Course prepares for UAS studies: The goal is to develop mathematical skills.

Course is delivered via Metropolia's Viope environment and it's 100% online (Self-Study) course.

Ilmoittautumisaika

02.07.2024 - 31.07.2024

Ajoitus

01.01.2024 - 31.07.2024

Opintopistemäärä

5 op

Toteutustapa

Lähiopetus

Yksikkö

ICT ja tuotantotalous

Opetuskielet
  • Englanti
Koulutus
  • Tieto- ja viestintätekniikan tutkinto-ohjelma
Opettaja
  • Janne Salonen
Vastuuopettaja

Janne Salonen

Ryhmät
  • Viope_nonstop_11
    Viope_nonstop_11

Tavoitteet

The student is able to perceive the meaning and interpretation of mathematical expressions. The student knows how to use the Cartesian coordinate system to visualize pairs of numbers and how to plot elementary functions. The student has a clear view of the characteristic properties of the graphs of most important elementary functions.
-----
The student is able to perform calculations with integers, fractions and decimal numbers. The student can simplify symbolic expressions composed of basic mathematical operations. The student can plot elementary functions. The student can solve for the angles of a given triangle.
The student is able to solve linear and quadratic equations, pairs of linear equations and most common types of equations containing roots, logarithms or exponentials.

Sisältö

Integers, basic algebraic operations and their rules. Fractions and calculations with fractions. Using letters as symbols of numbers. Basic rules of manipulating expressions that contain symbols and numbers. Basic rules for simplifying mathematical expressions. Decimal numbers and accuracy of calculations with decimal numbers. Roots and fractional powers. Solving linear equations and pairs of linear equations. Solving simple equations containing roots. Coordinate system, straight line, parabola and other basic functions. Direct and inverse proportionality. Trigonometric functions solving the right angle. Exponential and logarithmic functions and related simple equations.

Arviointiasteikko

Hyväksytty/Hylätty

Arviointikriteeri, hyväksytty/hylätty

Grading is pass after Student has done at least 80% of it.

Lisätiedot

Course prepares for UAS studies: The goal is to develop mathematical skills.

Course is delivered via Metropolia's Viope environment and it's 100% online (Self-Study) course.

Ilmoittautumisaika

02.07.2024 - 31.07.2024

Ajoitus

01.01.2024 - 31.07.2024

Opintopistemäärä

5 op

Toteutustapa

Lähiopetus

Yksikkö

ICT ja tuotantotalous

Toimipiste

Karaportti 2

Opetuskielet
  • Englanti
Koulutus
  • Tieto- ja viestintätekniikan tutkinto-ohjelma
Opettaja
  • Janne Salonen
Vastuuopettaja

Janne Salonen

Ryhmät
  • Viope_nonstop_12
    Viope_nonstop_12

Tavoitteet

The student is able to perceive the meaning and interpretation of mathematical expressions. The student knows how to use the Cartesian coordinate system to visualize pairs of numbers and how to plot elementary functions. The student has a clear view of the characteristic properties of the graphs of most important elementary functions.
-----
The student is able to perform calculations with integers, fractions and decimal numbers. The student can simplify symbolic expressions composed of basic mathematical operations. The student can plot elementary functions. The student can solve for the angles of a given triangle.
The student is able to solve linear and quadratic equations, pairs of linear equations and most common types of equations containing roots, logarithms or exponentials.

Sisältö

Integers, basic algebraic operations and their rules. Fractions and calculations with fractions. Using letters as symbols of numbers. Basic rules of manipulating expressions that contain symbols and numbers. Basic rules for simplifying mathematical expressions. Decimal numbers and accuracy of calculations with decimal numbers. Roots and fractional powers. Solving linear equations and pairs of linear equations. Solving simple equations containing roots. Coordinate system, straight line, parabola and other basic functions. Direct and inverse proportionality. Trigonometric functions solving the right angle. Exponential and logarithmic functions and related simple equations.

Arviointiasteikko

Hyväksytty/Hylätty

Arviointikriteeri, hyväksytty/hylätty

Grading is pass after Student has done at least 80% of it.

Lisätiedot

Course prepares for UAS studies: The goal is to develop mathematical skills.

Course is delivered via Metropolia's Viope environment and it's 100% online (Self-Study) course.

Ilmoittautumisaika

02.07.2023 - 31.07.2023

Ajoitus

01.08.2023 - 31.07.2024

Opintopistemäärä

5 op

Virtuaaliosuus

5 op

Toteutustapa

Etäopetus

Opetuskielet
  • Englanti
Koulutus
  • Tieto- ja viestintätekniikan tutkinto-ohjelma
Vastuuopettaja

Janne Salonen

Tavoitteet

The student is able to perceive the meaning and interpretation of mathematical expressions. The student knows how to use the Cartesian coordinate system to visualize pairs of numbers and how to plot elementary functions. The student has a clear view of the characteristic properties of the graphs of most important elementary functions.
-----
The student is able to perform calculations with integers, fractions and decimal numbers. The student can simplify symbolic expressions composed of basic mathematical operations. The student can plot elementary functions. The student can solve for the angles of a given triangle.
The student is able to solve linear and quadratic equations, pairs of linear equations and most common types of equations containing roots, logarithms or exponentials.

Sisältö

Integers, basic algebraic operations and their rules. Fractions and calculations with fractions. Using letters as symbols of numbers. Basic rules of manipulating expressions that contain symbols and numbers. Basic rules for simplifying mathematical expressions. Decimal numbers and accuracy of calculations with decimal numbers. Roots and fractional powers. Solving linear equations and pairs of linear equations. Solving simple equations containing roots. Coordinate system, straight line, parabola and other basic functions. Direct and inverse proportionality. Trigonometric functions solving the right angle. Exponential and logarithmic functions and related simple equations.

Arviointiasteikko

Hyväksytty/Hylätty

Arviointikriteeri, hyväksytty/hylätty

Grading is pass after Student has done at least 80% of it.

Lisätiedot

Course prepares for UAS studies: The goal is to develop mathematical skills.

Course is delivered via Metropolia's Viope environment and it's 100% online (Self-Study) course.

Ilmoittautumisaika

02.12.2022 - 31.12.2022

Ajoitus

01.01.2023 - 31.07.2024

Opintopistemäärä

5 op

Virtuaaliosuus

5 op

Toteutustapa

Etäopetus

Toimipiste

Karaportti 2

Opetuskielet
  • Englanti
Koulutus
  • Tieto- ja viestintätekniikan tutkinto-ohjelma
Opettaja
  • Janne Salonen
Vastuuopettaja

Janne Salonen

Tavoitteet

The student is able to perceive the meaning and interpretation of mathematical expressions. The student knows how to use the Cartesian coordinate system to visualize pairs of numbers and how to plot elementary functions. The student has a clear view of the characteristic properties of the graphs of most important elementary functions.
-----
The student is able to perform calculations with integers, fractions and decimal numbers. The student can simplify symbolic expressions composed of basic mathematical operations. The student can plot elementary functions. The student can solve for the angles of a given triangle.
The student is able to solve linear and quadratic equations, pairs of linear equations and most common types of equations containing roots, logarithms or exponentials.

Sisältö

Integers, basic algebraic operations and their rules. Fractions and calculations with fractions. Using letters as symbols of numbers. Basic rules of manipulating expressions that contain symbols and numbers. Basic rules for simplifying mathematical expressions. Decimal numbers and accuracy of calculations with decimal numbers. Roots and fractional powers. Solving linear equations and pairs of linear equations. Solving simple equations containing roots. Coordinate system, straight line, parabola and other basic functions. Direct and inverse proportionality. Trigonometric functions solving the right angle. Exponential and logarithmic functions and related simple equations.

Arviointiasteikko

Hyväksytty/Hylätty

Arviointikriteeri, hyväksytty/hylätty

Grading is pass after Student has done at least 80% of it.

Lisätiedot

Course prepares for UAS studies: The goal is to develop mathematical skills.

Course is delivered via Metropolia's Viope environment and it's 100% online (Self-Study) course.

Ajoitus

17.02.2023 - 31.12.2022

Opintopistemäärä

5 op

Virtuaaliosuus

5 op

Toteutustapa

Etäopetus

Yksikkö

ICT ja tuotantotalous

Toimipiste

Karaportti 2

Opetuskielet
  • Englanti
Paikat

0 - 1000

Koulutus
  • Tieto- ja viestintätekniikan tutkinto-ohjelma
Opettaja
  • Mika Hyyryläinen
Ryhmät
  • VIOPE_NonStop3
    VIOPE_NonStop3

Tavoitteet

The student is able to perceive the meaning and interpretation of mathematical expressions. The student knows how to use the Cartesian coordinate system to visualize pairs of numbers and how to plot elementary functions. The student has a clear view of the characteristic properties of the graphs of most important elementary functions.
-----
The student is able to perform calculations with integers, fractions and decimal numbers. The student can simplify symbolic expressions composed of basic mathematical operations. The student can plot elementary functions. The student can solve for the angles of a given triangle.
The student is able to solve linear and quadratic equations, pairs of linear equations and most common types of equations containing roots, logarithms or exponentials.

Sisältö

Integers, basic algebraic operations and their rules. Fractions and calculations with fractions. Using letters as symbols of numbers. Basic rules of manipulating expressions that contain symbols and numbers. Basic rules for simplifying mathematical expressions. Decimal numbers and accuracy of calculations with decimal numbers. Roots and fractional powers. Solving linear equations and pairs of linear equations. Solving simple equations containing roots. Coordinate system, straight line, parabola and other basic functions. Direct and inverse proportionality. Trigonometric functions solving the right angle. Exponential and logarithmic functions and related simple equations.

Aika ja paikka

Because course is 100% online (Self-Study) course, study place and timetable is up to Student her-/himself.

Oppimateriaalit

Online

Opetusmenetelmät

100% online (Self-Study) course.

Harjoittelu- ja työelämäyhteistyö

N/A

Tenttien ajankohdat ja uusintamahdollisuudet

Online

Kansainvälisyys

N/A

Toteutuksen valinnaiset suoritustavat

N/A

Opiskelijan ajankäyttö ja kuormitus

Up to Student her-/himself.

Sisällön jaksotus

Up to Student her-/himself.

Lisätietoja opiskelijoille

ENROLLING

Open UAS Student via https://hakija.oma.metropolia.fi/
CampusOnline Students via eform which can be find via https://campusonline.fi

Metropolia's Degree Student
- Go to https://vw4.viope.com/login?org=metropolia
- Register to system -> Click the link “Enroll on the course”
- Choose any course of (NonStop).
- Fill the others fields

If you have problems with enrolling into this course or questions about it, please contact to viopesupport@metropolia.fi

Arviointiasteikko

Hyväksytty/Hylätty

Arviointikriteeri, hyväksytty/hylätty

Grading is pass after Student has done at least 80% of it.

Arviointimenetelmät ja arvioinnin perusteet

When you have done at least 80% of tasks, please send email to viopesupport@metropolia.fi.

Lisätiedot

Course prepares for UAS studies: The goal is to develop mathematical skills.

Course is delivered via Metropolia's Viope environment and it's 100% online (Self-Study) course.

Ajoitus

17.02.2023 - 31.12.2022

Opintopistemäärä

5 op

Virtuaaliosuus

5 op

Toteutustapa

Etäopetus

Yksikkö

ICT ja tuotantotalous

Toimipiste

Karaportti 2

Opetuskielet
  • Englanti
Paikat

0 - 1000

Koulutus
  • Tieto- ja viestintätekniikan tutkinto-ohjelma
Opettaja
  • Mika Hyyryläinen
Ryhmät
  • VIOPE_NonStop3
    VIOPE_NonStop3

Tavoitteet

The student is able to perceive the meaning and interpretation of mathematical expressions. The student knows how to use the Cartesian coordinate system to visualize pairs of numbers and how to plot elementary functions. The student has a clear view of the characteristic properties of the graphs of most important elementary functions.
-----
The student is able to perform calculations with integers, fractions and decimal numbers. The student can simplify symbolic expressions composed of basic mathematical operations. The student can plot elementary functions. The student can solve for the angles of a given triangle.
The student is able to solve linear and quadratic equations, pairs of linear equations and most common types of equations containing roots, logarithms or exponentials.

Sisältö

Integers, basic algebraic operations and their rules. Fractions and calculations with fractions. Using letters as symbols of numbers. Basic rules of manipulating expressions that contain symbols and numbers. Basic rules for simplifying mathematical expressions. Decimal numbers and accuracy of calculations with decimal numbers. Roots and fractional powers. Solving linear equations and pairs of linear equations. Solving simple equations containing roots. Coordinate system, straight line, parabola and other basic functions. Direct and inverse proportionality. Trigonometric functions solving the right angle. Exponential and logarithmic functions and related simple equations.

Aika ja paikka

Because course is 100% online (Self-Study) course, study place and timetable is up to Student her-/himself.

Oppimateriaalit

Online

Opetusmenetelmät

100% online (Self-Study) course.

Harjoittelu- ja työelämäyhteistyö

N/A

Tenttien ajankohdat ja uusintamahdollisuudet

Online

Kansainvälisyys

N/A

Toteutuksen valinnaiset suoritustavat

N/A

Opiskelijan ajankäyttö ja kuormitus

Up to Student her-/himself.

Sisällön jaksotus

Up to Student her-/himself.

Lisätietoja opiskelijoille

ENROLLING

Open UAS Student via https://hakija.oma.metropolia.fi/
CampusOnline Students via eform which can be find via https://campusonline.fi

Metropolia's Degree Student
- Go to https://vw4.viope.com/login?org=metropolia
- Register to system -> Click the link “Enroll on the course”
- Choose any course of (NonStop).
- Fill the others fields

If you have problems with enrolling into this course or questions about it, please contact to viopesupport@metropolia.fi

Arviointiasteikko

Hyväksytty/Hylätty

Arviointikriteeri, hyväksytty/hylätty

Grading is pass after Student has done at least 80% of it.

Arviointimenetelmät ja arvioinnin perusteet

When you have done at least 80% of tasks, please send email to viopesupport@metropolia.fi.

Lisätiedot

Course prepares for UAS studies: The goal is to develop mathematical skills.

Course is delivered via Metropolia's Viope environment and it's 100% online (Self-Study) course.

Ajoitus

17.02.2023 - 31.12.2022

Opintopistemäärä

5 op

Virtuaaliosuus

5 op

Toteutustapa

Etäopetus

Yksikkö

ICT ja tuotantotalous

Toimipiste

Karaportti 2

Opetuskielet
  • Englanti
Paikat

0 - 1000

Koulutus
  • Tieto- ja viestintätekniikan tutkinto-ohjelma
Opettaja
  • Mika Hyyryläinen
Ryhmät
  • VIOPE_NonStop3
    VIOPE_NonStop3

Tavoitteet

The student is able to perceive the meaning and interpretation of mathematical expressions. The student knows how to use the Cartesian coordinate system to visualize pairs of numbers and how to plot elementary functions. The student has a clear view of the characteristic properties of the graphs of most important elementary functions.
-----
The student is able to perform calculations with integers, fractions and decimal numbers. The student can simplify symbolic expressions composed of basic mathematical operations. The student can plot elementary functions. The student can solve for the angles of a given triangle.
The student is able to solve linear and quadratic equations, pairs of linear equations and most common types of equations containing roots, logarithms or exponentials.

Sisältö

Integers, basic algebraic operations and their rules. Fractions and calculations with fractions. Using letters as symbols of numbers. Basic rules of manipulating expressions that contain symbols and numbers. Basic rules for simplifying mathematical expressions. Decimal numbers and accuracy of calculations with decimal numbers. Roots and fractional powers. Solving linear equations and pairs of linear equations. Solving simple equations containing roots. Coordinate system, straight line, parabola and other basic functions. Direct and inverse proportionality. Trigonometric functions solving the right angle. Exponential and logarithmic functions and related simple equations.

Aika ja paikka

Because course is 100% online (Self-Study) course, study place and timetable is up to Student her-/himself.

Oppimateriaalit

Online

Opetusmenetelmät

100% online (Self-Study) course.

Harjoittelu- ja työelämäyhteistyö

N/A

Tenttien ajankohdat ja uusintamahdollisuudet

Online

Kansainvälisyys

N/A

Toteutuksen valinnaiset suoritustavat

N/A

Opiskelijan ajankäyttö ja kuormitus

Up to Student her-/himself.

Sisällön jaksotus

Up to Student her-/himself.

Lisätietoja opiskelijoille

ENROLLING

Open UAS Student via https://hakija.oma.metropolia.fi/
CampusOnline Students via eform which can be find via https://campusonline.fi

Metropolia's Degree Student
- Go to https://vw4.viope.com/login?org=metropolia
- Register to system -> Click the link “Enroll on the course”
- Choose any course of (NonStop).
- Fill the others fields

If you have problems with enrolling into this course or questions about it, please contact to viopesupport@metropolia.fi

Arviointiasteikko

Hyväksytty/Hylätty

Arviointikriteeri, hyväksytty/hylätty

Grading is pass after Student has done at least 80% of it.

Arviointimenetelmät ja arvioinnin perusteet

When you have done at least 80% of tasks, please send email to viopesupport@metropolia.fi.

Lisätiedot

Course prepares for UAS studies: The goal is to develop mathematical skills.

Course is delivered via Metropolia's Viope environment and it's 100% online (Self-Study) course.

Ajoitus

17.02.2023 - 31.12.2022

Opintopistemäärä

5 op

Virtuaaliosuus

5 op

Toteutustapa

Etäopetus

Yksikkö

ICT ja tuotantotalous

Toimipiste

Karaportti 2

Opetuskielet
  • Englanti
Paikat

0 - 1000

Koulutus
  • Tieto- ja viestintätekniikan tutkinto-ohjelma
Opettaja
  • Mika Hyyryläinen
Ryhmät
  • VIOPE_NonStop4
    VIOPE_NonStop4

Tavoitteet

The student is able to perceive the meaning and interpretation of mathematical expressions. The student knows how to use the Cartesian coordinate system to visualize pairs of numbers and how to plot elementary functions. The student has a clear view of the characteristic properties of the graphs of most important elementary functions.
-----
The student is able to perform calculations with integers, fractions and decimal numbers. The student can simplify symbolic expressions composed of basic mathematical operations. The student can plot elementary functions. The student can solve for the angles of a given triangle.
The student is able to solve linear and quadratic equations, pairs of linear equations and most common types of equations containing roots, logarithms or exponentials.

Sisältö

Integers, basic algebraic operations and their rules. Fractions and calculations with fractions. Using letters as symbols of numbers. Basic rules of manipulating expressions that contain symbols and numbers. Basic rules for simplifying mathematical expressions. Decimal numbers and accuracy of calculations with decimal numbers. Roots and fractional powers. Solving linear equations and pairs of linear equations. Solving simple equations containing roots. Coordinate system, straight line, parabola and other basic functions. Direct and inverse proportionality. Trigonometric functions solving the right angle. Exponential and logarithmic functions and related simple equations.

Aika ja paikka

Because course is 100% online (Self-Study) course, study place and timetable is up to Student her-/himself.

Oppimateriaalit

Online

Opetusmenetelmät

100% online (Self-Study) course.

Harjoittelu- ja työelämäyhteistyö

N/A

Tenttien ajankohdat ja uusintamahdollisuudet

Online

Kansainvälisyys

N/A

Toteutuksen valinnaiset suoritustavat

N/A

Opiskelijan ajankäyttö ja kuormitus

Up to Student her-/himself.

Sisällön jaksotus

Up to Student her-/himself.

Lisätietoja opiskelijoille

ENROLLING

Open UAS Student via https://hakija.oma.metropolia.fi/
CampusOnline Students via eform which can be find via https://campusonline.fi

Metropolia's Degree Student
- Go to https://vw4.viope.com/login?org=metropolia
- Register to system -> Click the link “Enroll on the course”
- Choose any course of (NonStop).
- Fill the others fields

If you have problems with enrolling into this course or questions about it, please contact to viopesupport@metropolia.fi

Arviointiasteikko

Hyväksytty/Hylätty

Arviointikriteeri, hyväksytty/hylätty

Grading is pass after Student has done at least 80% of it.

Arviointimenetelmät ja arvioinnin perusteet

When you have done at least 80% of tasks, please send email to viopesupport@metropolia.fi.

Lisätiedot

Course prepares for UAS studies: The goal is to develop mathematical skills.

Course is delivered via Metropolia's Viope environment and it's 100% online (Self-Study) course.

Ajoitus

17.02.2023 - 31.12.2022

Opintopistemäärä

5 op

Virtuaaliosuus

5 op

Toteutustapa

Etäopetus

Yksikkö

ICT ja tuotantotalous

Toimipiste

Karaportti 2

Opetuskielet
  • Englanti
Paikat

0 - 1000

Koulutus
  • Tieto- ja viestintätekniikan tutkinto-ohjelma
Opettaja
  • Mika Hyyryläinen
Ryhmät
  • VIOPE_NonStop4
    VIOPE_NonStop4

Tavoitteet

The student is able to perceive the meaning and interpretation of mathematical expressions. The student knows how to use the Cartesian coordinate system to visualize pairs of numbers and how to plot elementary functions. The student has a clear view of the characteristic properties of the graphs of most important elementary functions.
-----
The student is able to perform calculations with integers, fractions and decimal numbers. The student can simplify symbolic expressions composed of basic mathematical operations. The student can plot elementary functions. The student can solve for the angles of a given triangle.
The student is able to solve linear and quadratic equations, pairs of linear equations and most common types of equations containing roots, logarithms or exponentials.

Sisältö

Integers, basic algebraic operations and their rules. Fractions and calculations with fractions. Using letters as symbols of numbers. Basic rules of manipulating expressions that contain symbols and numbers. Basic rules for simplifying mathematical expressions. Decimal numbers and accuracy of calculations with decimal numbers. Roots and fractional powers. Solving linear equations and pairs of linear equations. Solving simple equations containing roots. Coordinate system, straight line, parabola and other basic functions. Direct and inverse proportionality. Trigonometric functions solving the right angle. Exponential and logarithmic functions and related simple equations.

Aika ja paikka

Because course is 100% online (Self-Study) course, study place and timetable is up to Student her-/himself.

Oppimateriaalit

Online

Opetusmenetelmät

100% online (Self-Study) course.

Harjoittelu- ja työelämäyhteistyö

N/A

Tenttien ajankohdat ja uusintamahdollisuudet

Online

Kansainvälisyys

N/A

Toteutuksen valinnaiset suoritustavat

N/A

Opiskelijan ajankäyttö ja kuormitus

Up to Student her-/himself.

Sisällön jaksotus

Up to Student her-/himself.

Lisätietoja opiskelijoille

ENROLLING

Open UAS Student via https://hakija.oma.metropolia.fi/
CampusOnline Students via eform which can be find via https://campusonline.fi

Metropolia's Degree Student
- Go to https://vw4.viope.com/login?org=metropolia
- Register to system -> Click the link “Enroll on the course”
- Choose any course of (NonStop).
- Fill the others fields

If you have problems with enrolling into this course or questions about it, please contact to viopesupport@metropolia.fi

Arviointiasteikko

Hyväksytty/Hylätty

Arviointikriteeri, hyväksytty/hylätty

Grading is pass after Student has done at least 80% of it.

Arviointimenetelmät ja arvioinnin perusteet

When you have done at least 80% of tasks, please send email to viopesupport@metropolia.fi.

Lisätiedot

Course prepares for UAS studies: The goal is to develop mathematical skills.

Course is delivered via Metropolia's Viope environment and it's 100% online (Self-Study) course.

Ajoitus

17.02.2023 - 31.12.2022

Opintopistemäärä

5 op

Virtuaaliosuus

5 op

Toteutustapa

Etäopetus

Yksikkö

ICT ja tuotantotalous

Toimipiste

Karaportti 2

Opetuskielet
  • Englanti
Paikat

0 - 1000

Koulutus
  • Tieto- ja viestintätekniikan tutkinto-ohjelma
Opettaja
  • Mika Hyyryläinen
Ryhmät
  • VIOPE_NonStop4
    VIOPE_NonStop4

Tavoitteet

The student is able to perceive the meaning and interpretation of mathematical expressions. The student knows how to use the Cartesian coordinate system to visualize pairs of numbers and how to plot elementary functions. The student has a clear view of the characteristic properties of the graphs of most important elementary functions.
-----
The student is able to perform calculations with integers, fractions and decimal numbers. The student can simplify symbolic expressions composed of basic mathematical operations. The student can plot elementary functions. The student can solve for the angles of a given triangle.
The student is able to solve linear and quadratic equations, pairs of linear equations and most common types of equations containing roots, logarithms or exponentials.

Sisältö

Integers, basic algebraic operations and their rules. Fractions and calculations with fractions. Using letters as symbols of numbers. Basic rules of manipulating expressions that contain symbols and numbers. Basic rules for simplifying mathematical expressions. Decimal numbers and accuracy of calculations with decimal numbers. Roots and fractional powers. Solving linear equations and pairs of linear equations. Solving simple equations containing roots. Coordinate system, straight line, parabola and other basic functions. Direct and inverse proportionality. Trigonometric functions solving the right angle. Exponential and logarithmic functions and related simple equations.

Aika ja paikka

Because course is 100% online (Self-Study) course, study place and timetable is up to Student her-/himself.

Oppimateriaalit

Online

Opetusmenetelmät

100% online (Self-Study) course.

Harjoittelu- ja työelämäyhteistyö

N/A

Tenttien ajankohdat ja uusintamahdollisuudet

Online

Kansainvälisyys

N/A

Toteutuksen valinnaiset suoritustavat

N/A

Opiskelijan ajankäyttö ja kuormitus

Up to Student her-/himself.

Sisällön jaksotus

Up to Student her-/himself.

Lisätietoja opiskelijoille

ENROLLING

Open UAS Student via https://hakija.oma.metropolia.fi/
CampusOnline Students via eform which can be find via https://campusonline.fi

Metropolia's Degree Student
- Go to https://vw4.viope.com/login?org=metropolia
- Register to system -> Click the link “Enroll on the course”
- Choose any course of (NonStop).
- Fill the others fields

If you have problems with enrolling into this course or questions about it, please contact to viopesupport@metropolia.fi

Arviointiasteikko

Hyväksytty/Hylätty

Arviointikriteeri, hyväksytty/hylätty

Grading is pass after Student has done at least 80% of it.

Arviointimenetelmät ja arvioinnin perusteet

When you have done at least 80% of tasks, please send email to viopesupport@metropolia.fi.

Lisätiedot

Course prepares for UAS studies: The goal is to develop mathematical skills.

Course is delivered via Metropolia's Viope environment and it's 100% online (Self-Study) course.

Ajoitus

17.02.2023 - 31.12.2022

Opintopistemäärä

5 op

Virtuaaliosuus

5 op

Toteutustapa

Etäopetus

Yksikkö

ICT ja tuotantotalous

Toimipiste

Karaportti 2

Opetuskielet
  • Englanti
Paikat

0 - 1000

Koulutus
  • Tieto- ja viestintätekniikan tutkinto-ohjelma
Opettaja
  • Mika Hyyryläinen
Ryhmät
  • VIOPE_NonStop4
    VIOPE_NonStop4

Tavoitteet

The student is able to perceive the meaning and interpretation of mathematical expressions. The student knows how to use the Cartesian coordinate system to visualize pairs of numbers and how to plot elementary functions. The student has a clear view of the characteristic properties of the graphs of most important elementary functions.
-----
The student is able to perform calculations with integers, fractions and decimal numbers. The student can simplify symbolic expressions composed of basic mathematical operations. The student can plot elementary functions. The student can solve for the angles of a given triangle.
The student is able to solve linear and quadratic equations, pairs of linear equations and most common types of equations containing roots, logarithms or exponentials.

Sisältö

Integers, basic algebraic operations and their rules. Fractions and calculations with fractions. Using letters as symbols of numbers. Basic rules of manipulating expressions that contain symbols and numbers. Basic rules for simplifying mathematical expressions. Decimal numbers and accuracy of calculations with decimal numbers. Roots and fractional powers. Solving linear equations and pairs of linear equations. Solving simple equations containing roots. Coordinate system, straight line, parabola and other basic functions. Direct and inverse proportionality. Trigonometric functions solving the right angle. Exponential and logarithmic functions and related simple equations.

Aika ja paikka

Because course is 100% online (Self-Study) course, study place and timetable is up to Student her-/himself.

Oppimateriaalit

Online

Opetusmenetelmät

100% online (Self-Study) course.

Harjoittelu- ja työelämäyhteistyö

N/A

Tenttien ajankohdat ja uusintamahdollisuudet

Online

Kansainvälisyys

N/A

Toteutuksen valinnaiset suoritustavat

N/A

Opiskelijan ajankäyttö ja kuormitus

Up to Student her-/himself.

Sisällön jaksotus

Up to Student her-/himself.

Lisätietoja opiskelijoille

ENROLLING

Open UAS Student via https://hakija.oma.metropolia.fi/
CampusOnline Students via eform which can be find via https://campusonline.fi

Metropolia's Degree Student
- Go to https://vw4.viope.com/login?org=metropolia
- Register to system -> Click the link “Enroll on the course”
- Choose any course of (NonStop).
- Fill the others fields

If you have problems with enrolling into this course or questions about it, please contact to viopesupport@metropolia.fi

Arviointiasteikko

Hyväksytty/Hylätty

Arviointikriteeri, hyväksytty/hylätty

Grading is pass after Student has done at least 80% of it.

Arviointimenetelmät ja arvioinnin perusteet

When you have done at least 80% of tasks, please send email to viopesupport@metropolia.fi.

Lisätiedot

Course prepares for UAS studies: The goal is to develop mathematical skills.

Course is delivered via Metropolia's Viope environment and it's 100% online (Self-Study) course.

Ajoitus

17.02.2023 - 31.12.2022

Opintopistemäärä

5 op

Virtuaaliosuus

5 op

Toteutustapa

Etäopetus

Yksikkö

ICT ja tuotantotalous

Toimipiste

Karaportti 2

Opetuskielet
  • Englanti
Paikat

0 - 1000

Koulutus
  • Tieto- ja viestintätekniikan tutkinto-ohjelma
Opettaja
  • Mika Hyyryläinen
Ryhmät
  • VIOPE_NonStop4
    VIOPE_NonStop4

Tavoitteet

The student is able to perceive the meaning and interpretation of mathematical expressions. The student knows how to use the Cartesian coordinate system to visualize pairs of numbers and how to plot elementary functions. The student has a clear view of the characteristic properties of the graphs of most important elementary functions.
-----
The student is able to perform calculations with integers, fractions and decimal numbers. The student can simplify symbolic expressions composed of basic mathematical operations. The student can plot elementary functions. The student can solve for the angles of a given triangle.
The student is able to solve linear and quadratic equations, pairs of linear equations and most common types of equations containing roots, logarithms or exponentials.

Sisältö

Integers, basic algebraic operations and their rules. Fractions and calculations with fractions. Using letters as symbols of numbers. Basic rules of manipulating expressions that contain symbols and numbers. Basic rules for simplifying mathematical expressions. Decimal numbers and accuracy of calculations with decimal numbers. Roots and fractional powers. Solving linear equations and pairs of linear equations. Solving simple equations containing roots. Coordinate system, straight line, parabola and other basic functions. Direct and inverse proportionality. Trigonometric functions solving the right angle. Exponential and logarithmic functions and related simple equations.

Aika ja paikka

Because course is 100% online (Self-Study) course, study place and timetable is up to Student her-/himself.

Oppimateriaalit

Online

Opetusmenetelmät

100% online (Self-Study) course.

Harjoittelu- ja työelämäyhteistyö

N/A

Tenttien ajankohdat ja uusintamahdollisuudet

Online

Kansainvälisyys

N/A

Toteutuksen valinnaiset suoritustavat

N/A

Opiskelijan ajankäyttö ja kuormitus

Up to Student her-/himself.

Sisällön jaksotus

Up to Student her-/himself.

Lisätietoja opiskelijoille

ENROLLING

Open UAS Student via https://hakija.oma.metropolia.fi/
CampusOnline Students via eform which can be find via https://campusonline.fi

Metropolia's Degree Student
- Go to https://vw4.viope.com/login?org=metropolia
- Register to system -> Click the link “Enroll on the course”
- Choose any course of (NonStop).
- Fill the others fields

If you have problems with enrolling into this course or questions about it, please contact to viopesupport@metropolia.fi

Arviointiasteikko

Hyväksytty/Hylätty

Arviointikriteeri, hyväksytty/hylätty

Grading is pass after Student has done at least 80% of it.

Arviointimenetelmät ja arvioinnin perusteet

When you have done at least 80% of tasks, please send email to viopesupport@metropolia.fi.

Lisätiedot

Course prepares for UAS studies: The goal is to develop mathematical skills.

Course is delivered via Metropolia's Viope environment and it's 100% online (Self-Study) course.

Ajoitus

17.02.2023 - 31.12.2022

Opintopistemäärä

5 op

Virtuaaliosuus

5 op

Toteutustapa

Etäopetus

Yksikkö

ICT ja tuotantotalous

Toimipiste

Karaportti 2

Opetuskielet
  • Englanti
Paikat

0 - 1000

Koulutus
  • Tieto- ja viestintätekniikan tutkinto-ohjelma
Opettaja
  • Mika Hyyryläinen
Ryhmät
  • VIOPE_NonStop4
    VIOPE_NonStop4

Tavoitteet

The student is able to perceive the meaning and interpretation of mathematical expressions. The student knows how to use the Cartesian coordinate system to visualize pairs of numbers and how to plot elementary functions. The student has a clear view of the characteristic properties of the graphs of most important elementary functions.
-----
The student is able to perform calculations with integers, fractions and decimal numbers. The student can simplify symbolic expressions composed of basic mathematical operations. The student can plot elementary functions. The student can solve for the angles of a given triangle.
The student is able to solve linear and quadratic equations, pairs of linear equations and most common types of equations containing roots, logarithms or exponentials.

Sisältö

Integers, basic algebraic operations and their rules. Fractions and calculations with fractions. Using letters as symbols of numbers. Basic rules of manipulating expressions that contain symbols and numbers. Basic rules for simplifying mathematical expressions. Decimal numbers and accuracy of calculations with decimal numbers. Roots and fractional powers. Solving linear equations and pairs of linear equations. Solving simple equations containing roots. Coordinate system, straight line, parabola and other basic functions. Direct and inverse proportionality. Trigonometric functions solving the right angle. Exponential and logarithmic functions and related simple equations.

Aika ja paikka

Because course is 100% online (Self-Study) course, study place and timetable is up to Student her-/himself.

Oppimateriaalit

Online

Opetusmenetelmät

100% online (Self-Study) course.

Harjoittelu- ja työelämäyhteistyö

N/A

Tenttien ajankohdat ja uusintamahdollisuudet

Online

Kansainvälisyys

N/A

Toteutuksen valinnaiset suoritustavat

N/A

Opiskelijan ajankäyttö ja kuormitus

Up to Student her-/himself.

Sisällön jaksotus

Up to Student her-/himself.

Lisätietoja opiskelijoille

ENROLLING

Open UAS Student via https://hakija.oma.metropolia.fi/
CampusOnline Students via eform which can be find via https://campusonline.fi

Metropolia's Degree Student
- Go to https://vw4.viope.com/login?org=metropolia
- Register to system -> Click the link “Enroll on the course”
- Choose any course of (NonStop).
- Fill the others fields

If you have problems with enrolling into this course or questions about it, please contact to viopesupport@metropolia.fi

Arviointiasteikko

Hyväksytty/Hylätty

Arviointikriteeri, hyväksytty/hylätty

Grading is pass after Student has done at least 80% of it.

Arviointimenetelmät ja arvioinnin perusteet

When you have done at least 80% of tasks, please send email to viopesupport@metropolia.fi.

Lisätiedot

Course prepares for UAS studies: The goal is to develop mathematical skills.

Course is delivered via Metropolia's Viope environment and it's 100% online (Self-Study) course.

Ajoitus

17.02.2023 - 31.12.2022

Opintopistemäärä

5 op

Virtuaaliosuus

5 op

Toteutustapa

Etäopetus

Yksikkö

ICT ja tuotantotalous

Toimipiste

Karaportti 2

Opetuskielet
  • Englanti
Paikat

0 - 1000

Koulutus
  • Tieto- ja viestintätekniikan tutkinto-ohjelma
Opettaja
  • Mika Hyyryläinen
Ryhmät
  • VIOPE_NonStop5
    VIOPE_NonStop5

Tavoitteet

The student is able to perceive the meaning and interpretation of mathematical expressions. The student knows how to use the Cartesian coordinate system to visualize pairs of numbers and how to plot elementary functions. The student has a clear view of the characteristic properties of the graphs of most important elementary functions.
-----
The student is able to perform calculations with integers, fractions and decimal numbers. The student can simplify symbolic expressions composed of basic mathematical operations. The student can plot elementary functions. The student can solve for the angles of a given triangle.
The student is able to solve linear and quadratic equations, pairs of linear equations and most common types of equations containing roots, logarithms or exponentials.

Sisältö

Integers, basic algebraic operations and their rules. Fractions and calculations with fractions. Using letters as symbols of numbers. Basic rules of manipulating expressions that contain symbols and numbers. Basic rules for simplifying mathematical expressions. Decimal numbers and accuracy of calculations with decimal numbers. Roots and fractional powers. Solving linear equations and pairs of linear equations. Solving simple equations containing roots. Coordinate system, straight line, parabola and other basic functions. Direct and inverse proportionality. Trigonometric functions solving the right angle. Exponential and logarithmic functions and related simple equations.

Aika ja paikka

Because course is 100% online (Self-Study) course, study place and timetable is up to Student her-/himself.

Oppimateriaalit

Online

Opetusmenetelmät

100% online (Self-Study) course.

Harjoittelu- ja työelämäyhteistyö

N/A

Tenttien ajankohdat ja uusintamahdollisuudet

Online

Kansainvälisyys

N/A

Toteutuksen valinnaiset suoritustavat

N/A

Opiskelijan ajankäyttö ja kuormitus

Up to Student her-/himself.

Sisällön jaksotus

Up to Student her-/himself.

Lisätietoja opiskelijoille

ENROLLING

Open UAS Student via https://hakija.oma.metropolia.fi/
CampusOnline Students via eform which can be find via https://campusonline.fi

Metropolia's Degree Student
- Go to https://vw4.viope.com/login?org=metropolia
- Register to system -> Click the link “Enroll on the course”
- Choose any course of (NonStop).
- Fill the others fields

If you have problems with enrolling into this course or questions about it, please contact to viopesupport@metropolia.fi

Arviointiasteikko

Hyväksytty/Hylätty

Arviointikriteeri, hyväksytty/hylätty

Grading is pass after Student has done at least 80% of it.

Arviointimenetelmät ja arvioinnin perusteet

When you have done at least 80% of tasks, please send email to viopesupport@metropolia.fi.

Lisätiedot

Course prepares for UAS studies: The goal is to develop mathematical skills.

Course is delivered via Metropolia's Viope environment and it's 100% online (Self-Study) course.

Ajoitus

17.02.2023 - 31.12.2022

Opintopistemäärä

5 op

Virtuaaliosuus

5 op

Toteutustapa

Etäopetus

Yksikkö

ICT ja tuotantotalous

Toimipiste

Karaportti 2

Opetuskielet
  • Englanti
Paikat

0 - 1000

Koulutus
  • Tieto- ja viestintätekniikan tutkinto-ohjelma
Opettaja
  • Mika Hyyryläinen
Ryhmät
  • VIOPE_NonStop5
    VIOPE_NonStop5

Tavoitteet

The student is able to perceive the meaning and interpretation of mathematical expressions. The student knows how to use the Cartesian coordinate system to visualize pairs of numbers and how to plot elementary functions. The student has a clear view of the characteristic properties of the graphs of most important elementary functions.
-----
The student is able to perform calculations with integers, fractions and decimal numbers. The student can simplify symbolic expressions composed of basic mathematical operations. The student can plot elementary functions. The student can solve for the angles of a given triangle.
The student is able to solve linear and quadratic equations, pairs of linear equations and most common types of equations containing roots, logarithms or exponentials.

Sisältö

Integers, basic algebraic operations and their rules. Fractions and calculations with fractions. Using letters as symbols of numbers. Basic rules of manipulating expressions that contain symbols and numbers. Basic rules for simplifying mathematical expressions. Decimal numbers and accuracy of calculations with decimal numbers. Roots and fractional powers. Solving linear equations and pairs of linear equations. Solving simple equations containing roots. Coordinate system, straight line, parabola and other basic functions. Direct and inverse proportionality. Trigonometric functions solving the right angle. Exponential and logarithmic functions and related simple equations.

Aika ja paikka

Because course is 100% online (Self-Study) course, study place and timetable is up to Student her-/himself.

Oppimateriaalit

Online

Opetusmenetelmät

100% online (Self-Study) course.

Harjoittelu- ja työelämäyhteistyö

N/A

Tenttien ajankohdat ja uusintamahdollisuudet

Online

Kansainvälisyys

N/A

Toteutuksen valinnaiset suoritustavat

N/A

Opiskelijan ajankäyttö ja kuormitus

Up to Student her-/himself.

Sisällön jaksotus

Up to Student her-/himself.

Lisätietoja opiskelijoille

ENROLLING

Open UAS Student via https://hakija.oma.metropolia.fi/
CampusOnline Students via eform which can be find via https://campusonline.fi

Metropolia's Degree Student
- Go to https://vw4.viope.com/login?org=metropolia
- Register to system -> Click the link “Enroll on the course”
- Choose any course of (NonStop).
- Fill the others fields

If you have problems with enrolling into this course or questions about it, please contact to viopesupport@metropolia.fi

Arviointiasteikko

Hyväksytty/Hylätty

Arviointikriteeri, hyväksytty/hylätty

Grading is pass after Student has done at least 80% of it.

Arviointimenetelmät ja arvioinnin perusteet

When you have done at least 80% of tasks, please send email to viopesupport@metropolia.fi.

Lisätiedot

Course prepares for UAS studies: The goal is to develop mathematical skills.

Course is delivered via Metropolia's Viope environment and it's 100% online (Self-Study) course.

Ajoitus

17.02.2023 - 31.12.2022

Opintopistemäärä

5 op

Virtuaaliosuus

5 op

Toteutustapa

Etäopetus

Yksikkö

ICT ja tuotantotalous

Toimipiste

Karaportti 2

Opetuskielet
  • Englanti
Paikat

0 - 1000

Koulutus
  • Tieto- ja viestintätekniikan tutkinto-ohjelma
Opettaja
  • Mika Hyyryläinen
Ryhmät
  • VIOPE_NonStop5
    VIOPE_NonStop5

Tavoitteet

The student is able to perceive the meaning and interpretation of mathematical expressions. The student knows how to use the Cartesian coordinate system to visualize pairs of numbers and how to plot elementary functions. The student has a clear view of the characteristic properties of the graphs of most important elementary functions.
-----
The student is able to perform calculations with integers, fractions and decimal numbers. The student can simplify symbolic expressions composed of basic mathematical operations. The student can plot elementary functions. The student can solve for the angles of a given triangle.
The student is able to solve linear and quadratic equations, pairs of linear equations and most common types of equations containing roots, logarithms or exponentials.

Sisältö

Integers, basic algebraic operations and their rules. Fractions and calculations with fractions. Using letters as symbols of numbers. Basic rules of manipulating expressions that contain symbols and numbers. Basic rules for simplifying mathematical expressions. Decimal numbers and accuracy of calculations with decimal numbers. Roots and fractional powers. Solving linear equations and pairs of linear equations. Solving simple equations containing roots. Coordinate system, straight line, parabola and other basic functions. Direct and inverse proportionality. Trigonometric functions solving the right angle. Exponential and logarithmic functions and related simple equations.

Aika ja paikka

Because course is 100% online (Self-Study) course, study place and timetable is up to Student her-/himself.

Oppimateriaalit

Online

Opetusmenetelmät

100% online (Self-Study) course.

Harjoittelu- ja työelämäyhteistyö

N/A

Tenttien ajankohdat ja uusintamahdollisuudet

Online

Kansainvälisyys

N/A

Toteutuksen valinnaiset suoritustavat

N/A

Opiskelijan ajankäyttö ja kuormitus

Up to Student her-/himself.

Sisällön jaksotus

Up to Student her-/himself.

Lisätietoja opiskelijoille

ENROLLING

Open UAS Student via https://hakija.oma.metropolia.fi/
CampusOnline Students via eform which can be find via https://campusonline.fi

Metropolia's Degree Student
- Go to https://vw4.viope.com/login?org=metropolia
- Register to system -> Click the link “Enroll on the course”
- Choose any course of (NonStop).
- Fill the others fields

If you have problems with enrolling into this course or questions about it, please contact to viopesupport@metropolia.fi

Arviointiasteikko

Hyväksytty/Hylätty

Arviointikriteeri, hyväksytty/hylätty

Grading is pass after Student has done at least 80% of it.

Arviointimenetelmät ja arvioinnin perusteet

When you have done at least 80% of tasks, please send email to viopesupport@metropolia.fi.

Lisätiedot

Course prepares for UAS studies: The goal is to develop mathematical skills.

Course is delivered via Metropolia's Viope environment and it's 100% online (Self-Study) course.

Ajoitus

31.12.2022

Opintopistemäärä

5 op

Virtuaaliosuus

5 op

Toteutustapa

Etäopetus

Yksikkö

ICT ja tuotantotalous

Toimipiste

Karaportti 2

Opetuskielet
  • Englanti
Paikat

0 - 1000

Koulutus
  • Tieto- ja viestintätekniikan tutkinto-ohjelma
Opettaja
  • Mika Hyyryläinen
Ryhmät
  • VIOPE_NonStop3
    VIOPE_NonStop3

Tavoitteet

The student is able to perceive the meaning and interpretation of mathematical expressions. The student knows how to use the Cartesian coordinate system to visualize pairs of numbers and how to plot elementary functions. The student has a clear view of the characteristic properties of the graphs of most important elementary functions.
-----
The student is able to perform calculations with integers, fractions and decimal numbers. The student can simplify symbolic expressions composed of basic mathematical operations. The student can plot elementary functions. The student can solve for the angles of a given triangle.
The student is able to solve linear and quadratic equations, pairs of linear equations and most common types of equations containing roots, logarithms or exponentials.

Sisältö

Integers, basic algebraic operations and their rules. Fractions and calculations with fractions. Using letters as symbols of numbers. Basic rules of manipulating expressions that contain symbols and numbers. Basic rules for simplifying mathematical expressions. Decimal numbers and accuracy of calculations with decimal numbers. Roots and fractional powers. Solving linear equations and pairs of linear equations. Solving simple equations containing roots. Coordinate system, straight line, parabola and other basic functions. Direct and inverse proportionality. Trigonometric functions solving the right angle. Exponential and logarithmic functions and related simple equations.

Aika ja paikka

Because course is 100% online (Self-Study) course, study place and timetable is up to Student her-/himself.

Oppimateriaalit

Online

Opetusmenetelmät

100% online (Self-Study) course.

Harjoittelu- ja työelämäyhteistyö

N/A

Tenttien ajankohdat ja uusintamahdollisuudet

Online

Kansainvälisyys

N/A

Toteutuksen valinnaiset suoritustavat

N/A

Opiskelijan ajankäyttö ja kuormitus

Up to Student her-/himself.

Sisällön jaksotus

Up to Student her-/himself.

Lisätietoja opiskelijoille

ENROLLING

Open UAS Student via https://hakija.oma.metropolia.fi/
CampusOnline Students via eform which can be find via https://campusonline.fi

Metropolia's Degree Student
- Go to https://vw4.viope.com/login?org=metropolia
- Register to system -> Click the link “Enroll on the course”
- Choose any course of (NonStop).
- Fill the others fields

If you have problems with enrolling into this course or questions about it, please contact to viopesupport@metropolia.fi

Arviointiasteikko

Hyväksytty/Hylätty

Arviointikriteeri, hyväksytty/hylätty

Grading is pass after Student has done at least 80% of it.

Arviointimenetelmät ja arvioinnin perusteet

When you have done at least 80% of tasks, please send email to viopesupport@metropolia.fi.

Lisätiedot

Course prepares for UAS studies: The goal is to develop mathematical skills.

Course is delivered via Metropolia's Viope environment and it's 100% online (Self-Study) course.

Ajoitus

31.12.2022

Opintopistemäärä

5 op

Virtuaaliosuus

5 op

Toteutustapa

Etäopetus

Yksikkö

ICT ja tuotantotalous

Toimipiste

Karaportti 2

Opetuskielet
  • Englanti
Paikat

0 - 1000

Koulutus
  • Degree Programme in Information Technology
Opettaja
  • Mika Hyyryläinen
Ryhmät
  • VIOPE_NonStop3
    VIOPE_NonStop3

Tavoitteet

The student is able to perceive the meaning and interpretation of mathematical expressions. The student knows how to use the Cartesian coordinate system to visualize pairs of numbers and how to plot elementary functions. The student has a clear view of the characteristic properties of the graphs of most important elementary functions.
-----
The student is able to perform calculations with integers, fractions and decimal numbers. The student can simplify symbolic expressions composed of basic mathematical operations. The student can plot elementary functions. The student can solve for the angles of a given triangle.
The student is able to solve linear and quadratic equations, pairs of linear equations and most common types of equations containing roots, logarithms or exponentials.

Sisältö

Integers, basic algebraic operations and their rules. Fractions and calculations with fractions. Using letters as symbols of numbers. Basic rules of manipulating expressions that contain symbols and numbers. Basic rules for simplifying mathematical expressions. Decimal numbers and accuracy of calculations with decimal numbers. Roots and fractional powers. Solving linear equations and pairs of linear equations. Solving simple equations containing roots. Coordinate system, straight line, parabola and other basic functions. Direct and inverse proportionality. Trigonometric functions solving the right angle. Exponential and logarithmic functions and related simple equations.

Aika ja paikka

Because course is 100% online (Self-Study) course, study place and timetable is up to Student her-/himself.

Oppimateriaalit

Online

Opetusmenetelmät

100% online (Self-Study) course.

Harjoittelu- ja työelämäyhteistyö

N/A

Tenttien ajankohdat ja uusintamahdollisuudet

Online

Kansainvälisyys

N/A

Toteutuksen valinnaiset suoritustavat

N/A

Opiskelijan ajankäyttö ja kuormitus

Up to Student her-/himself.

Sisällön jaksotus

Up to Student her-/himself.

Lisätietoja opiskelijoille

ENROLLING
Open UAS and CampusOnline Student via https://hakija.oma.metropolia.fi/

Metropolia's Degree Student: https://vw4.viope.com/login?org=metropolia
- Register to system -> Click the link “Enroll on the course”
- Choose any course of (NonStop).
- Fill the others fields

Arviointiasteikko

Hyväksytty/Hylätty

Arviointikriteeri, hyväksytty/hylätty

Grading is pass after Student has done at least 80% of it.

Arviointimenetelmät ja arvioinnin perusteet

When you have done at least 80% of tasks, please send email to viopesupport@metropolia.fi.

Lisätiedot

Course prepares for UAS studies: The goal is to develop mathematical skills.

Course is delivered via Metropolia's Viope environment and it's 100% online (Self-Study) course.

Ajoitus

31.12.2022

Opintopistemäärä

5 op

Virtuaaliosuus

5 op

Toteutustapa

Etäopetus

Yksikkö

ICT ja tuotantotalous

Toimipiste

Karaportti 2

Opetuskielet
  • Englanti
Paikat

0 - 1000

Koulutus
  • Tieto- ja viestintätekniikan tutkinto-ohjelma
Opettaja
  • Mika Hyyryläinen
Ryhmät
  • VIOPE_NonStop4
    VIOPE_NonStop4

Tavoitteet

The student is able to perceive the meaning and interpretation of mathematical expressions. The student knows how to use the Cartesian coordinate system to visualize pairs of numbers and how to plot elementary functions. The student has a clear view of the characteristic properties of the graphs of most important elementary functions.
-----
The student is able to perform calculations with integers, fractions and decimal numbers. The student can simplify symbolic expressions composed of basic mathematical operations. The student can plot elementary functions. The student can solve for the angles of a given triangle.
The student is able to solve linear and quadratic equations, pairs of linear equations and most common types of equations containing roots, logarithms or exponentials.

Sisältö

Integers, basic algebraic operations and their rules. Fractions and calculations with fractions. Using letters as symbols of numbers. Basic rules of manipulating expressions that contain symbols and numbers. Basic rules for simplifying mathematical expressions. Decimal numbers and accuracy of calculations with decimal numbers. Roots and fractional powers. Solving linear equations and pairs of linear equations. Solving simple equations containing roots. Coordinate system, straight line, parabola and other basic functions. Direct and inverse proportionality. Trigonometric functions solving the right angle. Exponential and logarithmic functions and related simple equations.

Aika ja paikka

Because course is 100% online (Self-Study) course, study place and timetable is up to Student her-/himself.

Oppimateriaalit

Online

Opetusmenetelmät

100% online (Self-Study) course.

Harjoittelu- ja työelämäyhteistyö

N/A

Tenttien ajankohdat ja uusintamahdollisuudet

Online

Kansainvälisyys

N/A

Toteutuksen valinnaiset suoritustavat

N/A

Opiskelijan ajankäyttö ja kuormitus

Up to Student her-/himself.

Sisällön jaksotus

Up to Student her-/himself.

Lisätietoja opiskelijoille

ENROLLING

Open UAS Student via https://hakija.oma.metropolia.fi/
CampusOnline Students via eform which can be find via https://campusonline.fi

Metropolia's Degree Student
- Go to https://vw4.viope.com/login?org=metropolia
- Register to system -> Click the link “Enroll on the course”
- Choose any course of (NonStop).
- Fill the others fields

If you have problems with enrolling into this course or questions about it, please contact to viopesupport@metropolia.fi

Arviointiasteikko

Hyväksytty/Hylätty

Arviointikriteeri, hyväksytty/hylätty

Grading is pass after Student has done at least 80% of it.

Arviointimenetelmät ja arvioinnin perusteet

When you have done at least 80% of tasks, please send email to viopesupport@metropolia.fi.

Lisätiedot

Course prepares for UAS studies: The goal is to develop mathematical skills.

Course is delivered via Metropolia's Viope environment and it's 100% online (Self-Study) course.

Ajoitus

31.12.2022

Opintopistemäärä

5 op

Virtuaaliosuus

5 op

Toteutustapa

Etäopetus

Yksikkö

ICT ja tuotantotalous

Toimipiste

Karaportti 2

Opetuskielet
  • Englanti
Paikat

0 - 1000

Koulutus
  • Tieto- ja viestintätekniikan tutkinto-ohjelma
Opettaja
  • Mika Hyyryläinen
Ryhmät
  • VIOPE_NonStop4
    VIOPE_NonStop4

Tavoitteet

The student is able to perceive the meaning and interpretation of mathematical expressions. The student knows how to use the Cartesian coordinate system to visualize pairs of numbers and how to plot elementary functions. The student has a clear view of the characteristic properties of the graphs of most important elementary functions.
-----
The student is able to perform calculations with integers, fractions and decimal numbers. The student can simplify symbolic expressions composed of basic mathematical operations. The student can plot elementary functions. The student can solve for the angles of a given triangle.
The student is able to solve linear and quadratic equations, pairs of linear equations and most common types of equations containing roots, logarithms or exponentials.

Sisältö

Integers, basic algebraic operations and their rules. Fractions and calculations with fractions. Using letters as symbols of numbers. Basic rules of manipulating expressions that contain symbols and numbers. Basic rules for simplifying mathematical expressions. Decimal numbers and accuracy of calculations with decimal numbers. Roots and fractional powers. Solving linear equations and pairs of linear equations. Solving simple equations containing roots. Coordinate system, straight line, parabola and other basic functions. Direct and inverse proportionality. Trigonometric functions solving the right angle. Exponential and logarithmic functions and related simple equations.

Aika ja paikka

Because course is 100% online (Self-Study) course, study place and timetable is up to Student her-/himself.

Oppimateriaalit

Online

Opetusmenetelmät

100% online (Self-Study) course.

Harjoittelu- ja työelämäyhteistyö

N/A

Tenttien ajankohdat ja uusintamahdollisuudet

Online

Kansainvälisyys

N/A

Toteutuksen valinnaiset suoritustavat

N/A

Opiskelijan ajankäyttö ja kuormitus

Up to Student her-/himself.

Sisällön jaksotus

Up to Student her-/himself.

Lisätietoja opiskelijoille

ENROLLING

Open UAS Student via https://hakija.oma.metropolia.fi/
CampusOnline Students via eform which can be find via https://campusonline.fi

Metropolia's Degree Student
- Go to https://vw4.viope.com/login?org=metropolia
- Register to system -> Click the link “Enroll on the course”
- Choose any course of (NonStop).
- Fill the others fields

If you have problems with enrolling into this course or questions about it, please contact to viopesupport@metropolia.fi

Arviointiasteikko

Hyväksytty/Hylätty

Arviointikriteeri, hyväksytty/hylätty

Grading is pass after Student has done at least 80% of it.

Arviointimenetelmät ja arvioinnin perusteet

When you have done at least 80% of tasks, please send email to viopesupport@metropolia.fi.

Lisätiedot

Course prepares for UAS studies: The goal is to develop mathematical skills.

Course is delivered via Metropolia's Viope environment and it's 100% online (Self-Study) course.

Ajoitus

31.12.2022

Opintopistemäärä

5 op

Virtuaaliosuus

5 op

Toteutustapa

Etäopetus

Yksikkö

ICT ja tuotantotalous

Toimipiste

Karaportti 2

Opetuskielet
  • Englanti
Paikat

0 - 1000

Koulutus
  • Degree Programme in Information Technology
Opettaja
  • Mika Hyyryläinen
Ryhmät
  • VIOPE_NonStop4
    VIOPE_NonStop4

Tavoitteet

The student is able to perceive the meaning and interpretation of mathematical expressions. The student knows how to use the Cartesian coordinate system to visualize pairs of numbers and how to plot elementary functions. The student has a clear view of the characteristic properties of the graphs of most important elementary functions.
-----
The student is able to perform calculations with integers, fractions and decimal numbers. The student can simplify symbolic expressions composed of basic mathematical operations. The student can plot elementary functions. The student can solve for the angles of a given triangle.
The student is able to solve linear and quadratic equations, pairs of linear equations and most common types of equations containing roots, logarithms or exponentials.

Sisältö

Integers, basic algebraic operations and their rules. Fractions and calculations with fractions. Using letters as symbols of numbers. Basic rules of manipulating expressions that contain symbols and numbers. Basic rules for simplifying mathematical expressions. Decimal numbers and accuracy of calculations with decimal numbers. Roots and fractional powers. Solving linear equations and pairs of linear equations. Solving simple equations containing roots. Coordinate system, straight line, parabola and other basic functions. Direct and inverse proportionality. Trigonometric functions solving the right angle. Exponential and logarithmic functions and related simple equations.

Aika ja paikka

Because course is 100% online (Self-Study) course, study place and timetable is up to Student her-/himself.

Oppimateriaalit

Online

Opetusmenetelmät

100% online (Self-Study) course.

Harjoittelu- ja työelämäyhteistyö

N/A

Tenttien ajankohdat ja uusintamahdollisuudet

Online

Kansainvälisyys

N/A

Toteutuksen valinnaiset suoritustavat

N/A

Opiskelijan ajankäyttö ja kuormitus

Up to Student her-/himself.

Sisällön jaksotus

Up to Student her-/himself.

Lisätietoja opiskelijoille

ENROLLING
Open UAS and CampusOnline Student via https://hakija.oma.metropolia.fi/

Metropolia's Degree Student: https://vw4.viope.com/login?org=metropolia
- Register to system -> Click the link “Enroll on the course”
- Choose any course of (NonStop).
- Fill the others fields

Arviointiasteikko

Hyväksytty/Hylätty

Arviointikriteeri, hyväksytty/hylätty

Grading is pass after Student has done at least 80% of it.

Arviointimenetelmät ja arvioinnin perusteet

When you have done at least 80% of tasks, please send email to viopesupport@metropolia.fi.

Lisätiedot

Course prepares for UAS studies: The goal is to develop mathematical skills.

Course is delivered via Metropolia's Viope environment and it's 100% online (Self-Study) course.

Ajoitus

31.12.2022

Opintopistemäärä

5 op

Virtuaaliosuus

5 op

Toteutustapa

Etäopetus

Yksikkö

ICT ja tuotantotalous

Toimipiste

Karaportti 2

Opetuskielet
  • Englanti
Paikat

0 - 1000

Koulutus
  • Tieto- ja viestintätekniikan tutkinto-ohjelma
Opettaja
  • Mika Hyyryläinen
Ryhmät
  • VIOPE_NonStop5
    VIOPE_NonStop5

Tavoitteet

The student is able to perceive the meaning and interpretation of mathematical expressions. The student knows how to use the Cartesian coordinate system to visualize pairs of numbers and how to plot elementary functions. The student has a clear view of the characteristic properties of the graphs of most important elementary functions.
-----
The student is able to perform calculations with integers, fractions and decimal numbers. The student can simplify symbolic expressions composed of basic mathematical operations. The student can plot elementary functions. The student can solve for the angles of a given triangle.
The student is able to solve linear and quadratic equations, pairs of linear equations and most common types of equations containing roots, logarithms or exponentials.

Sisältö

Integers, basic algebraic operations and their rules. Fractions and calculations with fractions. Using letters as symbols of numbers. Basic rules of manipulating expressions that contain symbols and numbers. Basic rules for simplifying mathematical expressions. Decimal numbers and accuracy of calculations with decimal numbers. Roots and fractional powers. Solving linear equations and pairs of linear equations. Solving simple equations containing roots. Coordinate system, straight line, parabola and other basic functions. Direct and inverse proportionality. Trigonometric functions solving the right angle. Exponential and logarithmic functions and related simple equations.

Aika ja paikka

Because course is 100% online (Self-Study) course, study place and timetable is up to Student her-/himself.

Oppimateriaalit

Online

Opetusmenetelmät

100% online (Self-Study) course.

Harjoittelu- ja työelämäyhteistyö

N/A

Tenttien ajankohdat ja uusintamahdollisuudet

Online

Kansainvälisyys

N/A

Toteutuksen valinnaiset suoritustavat

N/A

Opiskelijan ajankäyttö ja kuormitus

Up to Student her-/himself.

Sisällön jaksotus

Up to Student her-/himself.

Lisätietoja opiskelijoille

ENROLLING

Open UAS Student via https://hakija.oma.metropolia.fi/
CampusOnline Students via eform which can be find via https://campusonline.fi

Metropolia's Degree Student
- Go to https://vw4.viope.com/login?org=metropolia
- Register to system -> Click the link “Enroll on the course”
- Choose any course of (NonStop).
- Fill the others fields

If you have problems with enrolling into this course or questions about it, please contact to viopesupport@metropolia.fi

Arviointiasteikko

Hyväksytty/Hylätty

Arviointikriteeri, hyväksytty/hylätty

Grading is pass after Student has done at least 80% of it.

Arviointimenetelmät ja arvioinnin perusteet

When you have done at least 80% of tasks, please send email to viopesupport@metropolia.fi.

Lisätiedot

Course prepares for UAS studies: The goal is to develop mathematical skills.

Course is delivered via Metropolia's Viope environment and it's 100% online (Self-Study) course.

Ajoitus

31.12.2022

Opintopistemäärä

5 op

Virtuaaliosuus

5 op

Toteutustapa

Etäopetus

Yksikkö

ICT ja tuotantotalous

Toimipiste

Karaportti 2

Opetuskielet
  • Englanti
Paikat

0 - 1000

Koulutus
  • Degree Programme in Information Technology
Opettaja
  • Mika Hyyryläinen
Ryhmät
  • VIOPE_NonStop5
    VIOPE_NonStop5

Tavoitteet

The student is able to perceive the meaning and interpretation of mathematical expressions. The student knows how to use the Cartesian coordinate system to visualize pairs of numbers and how to plot elementary functions. The student has a clear view of the characteristic properties of the graphs of most important elementary functions.
-----
The student is able to perform calculations with integers, fractions and decimal numbers. The student can simplify symbolic expressions composed of basic mathematical operations. The student can plot elementary functions. The student can solve for the angles of a given triangle.
The student is able to solve linear and quadratic equations, pairs of linear equations and most common types of equations containing roots, logarithms or exponentials.

Sisältö

Integers, basic algebraic operations and their rules. Fractions and calculations with fractions. Using letters as symbols of numbers. Basic rules of manipulating expressions that contain symbols and numbers. Basic rules for simplifying mathematical expressions. Decimal numbers and accuracy of calculations with decimal numbers. Roots and fractional powers. Solving linear equations and pairs of linear equations. Solving simple equations containing roots. Coordinate system, straight line, parabola and other basic functions. Direct and inverse proportionality. Trigonometric functions solving the right angle. Exponential and logarithmic functions and related simple equations.

Aika ja paikka

Because course is 100% online (Self-Study) course, study place and timetable is up to Student her-/himself.

Oppimateriaalit

Online

Opetusmenetelmät

100% online (Self-Study) course.

Harjoittelu- ja työelämäyhteistyö

N/A

Tenttien ajankohdat ja uusintamahdollisuudet

Online

Kansainvälisyys

N/A

Toteutuksen valinnaiset suoritustavat

N/A

Opiskelijan ajankäyttö ja kuormitus

Up to Student her-/himself.

Sisällön jaksotus

Up to Student her-/himself.

Lisätietoja opiskelijoille

ENROLLING
Open UAS and CampusOnline Student via https://hakija.oma.metropolia.fi/

Metropolia's Degree Student: https://vw4.viope.com/login?org=metropolia
- Register to system -> Click the link “Enroll on the course”
- Choose any course of (NonStop).
- Fill the others fields

Arviointiasteikko

Hyväksytty/Hylätty

Arviointikriteeri, hyväksytty/hylätty

Grading is pass after Student has done at least 80% of it.

Arviointimenetelmät ja arvioinnin perusteet

When you have done at least 80% of tasks, please send email to viopesupport@metropolia.fi.

Lisätiedot

Course prepares for UAS studies: The goal is to develop mathematical skills.

Course is delivered via Metropolia's Viope environment and it's 100% online (Self-Study) course.

Ajoitus

01.08.2022 - 31.12.2023

Opintopistemäärä

5 op

Virtuaaliosuus

5 op

Toteutustapa

Etäopetus

Yksikkö

ICT ja tuotantotalous

Toimipiste

Karaportti 2

Opetuskielet
  • Englanti
Paikat

0 - 1000

Koulutus
  • Tieto- ja viestintätekniikan tutkinto-ohjelma
Opettaja
  • Mika Hyyryläinen
  • Virve Prami
Vastuuopettaja

Janne Salonen

Tavoitteet

The student is able to perceive the meaning and interpretation of mathematical expressions. The student knows how to use the Cartesian coordinate system to visualize pairs of numbers and how to plot elementary functions. The student has a clear view of the characteristic properties of the graphs of most important elementary functions.
-----
The student is able to perform calculations with integers, fractions and decimal numbers. The student can simplify symbolic expressions composed of basic mathematical operations. The student can plot elementary functions. The student can solve for the angles of a given triangle.
The student is able to solve linear and quadratic equations, pairs of linear equations and most common types of equations containing roots, logarithms or exponentials.

Sisältö

Integers, basic algebraic operations and their rules. Fractions and calculations with fractions. Using letters as symbols of numbers. Basic rules of manipulating expressions that contain symbols and numbers. Basic rules for simplifying mathematical expressions. Decimal numbers and accuracy of calculations with decimal numbers. Roots and fractional powers. Solving linear equations and pairs of linear equations. Solving simple equations containing roots. Coordinate system, straight line, parabola and other basic functions. Direct and inverse proportionality. Trigonometric functions solving the right angle. Exponential and logarithmic functions and related simple equations.

Aika ja paikka

Because course is 100% online (Self-Study) course, study place and timetable is up to Student her-/himself.

Oppimateriaalit

Online

Opetusmenetelmät

100% online (Self-Study) course.

Harjoittelu- ja työelämäyhteistyö

N/A

Tenttien ajankohdat ja uusintamahdollisuudet

Online

Kansainvälisyys

N/A

Toteutuksen valinnaiset suoritustavat

N/A

Opiskelijan ajankäyttö ja kuormitus

Up to Student her-/himself.

Sisällön jaksotus

Up to Student her-/himself.

Arviointiasteikko

Hyväksytty/Hylätty

Arviointikriteeri, hyväksytty/hylätty

Grading is pass after Student has done at least 80% of it.

Arviointimenetelmät ja arvioinnin perusteet

When you have done at least 80% of tasks, please send email to viopesupport@metropolia.fi.

Lisätiedot

Course prepares for UAS studies: The goal is to develop mathematical skills.

Course is delivered via Metropolia's Viope environment and it's 100% online (Self-Study) course.

Ajoitus

01.08.2022 - 31.12.2023

Opintopistemäärä

5 op

Virtuaaliosuus

5 op

Toteutustapa

Etäopetus

Yksikkö

ICT ja tuotantotalous

Toimipiste

Karaportti 2

Opetuskielet
  • Englanti
Paikat

0 - 1000

Koulutus
  • Tieto- ja viestintätekniikan tutkinto-ohjelma
Opettaja
  • Mika Hyyryläinen
  • Virve Prami
Vastuuopettaja

Janne Salonen

Tavoitteet

The student is able to perceive the meaning and interpretation of mathematical expressions. The student knows how to use the Cartesian coordinate system to visualize pairs of numbers and how to plot elementary functions. The student has a clear view of the characteristic properties of the graphs of most important elementary functions.
-----
The student is able to perform calculations with integers, fractions and decimal numbers. The student can simplify symbolic expressions composed of basic mathematical operations. The student can plot elementary functions. The student can solve for the angles of a given triangle.
The student is able to solve linear and quadratic equations, pairs of linear equations and most common types of equations containing roots, logarithms or exponentials.

Sisältö

Integers, basic algebraic operations and their rules. Fractions and calculations with fractions. Using letters as symbols of numbers. Basic rules of manipulating expressions that contain symbols and numbers. Basic rules for simplifying mathematical expressions. Decimal numbers and accuracy of calculations with decimal numbers. Roots and fractional powers. Solving linear equations and pairs of linear equations. Solving simple equations containing roots. Coordinate system, straight line, parabola and other basic functions. Direct and inverse proportionality. Trigonometric functions solving the right angle. Exponential and logarithmic functions and related simple equations.

Aika ja paikka

Because course is 100% online (Self-Study) course, study place and timetable is up to Student her-/himself.

Oppimateriaalit

Online

Opetusmenetelmät

100% online (Self-Study) course.

Harjoittelu- ja työelämäyhteistyö

N/A

Tenttien ajankohdat ja uusintamahdollisuudet

Online

Kansainvälisyys

N/A

Toteutuksen valinnaiset suoritustavat

N/A

Opiskelijan ajankäyttö ja kuormitus

Up to Student her-/himself.

Sisällön jaksotus

Up to Student her-/himself.

Arviointiasteikko

Hyväksytty/Hylätty

Arviointikriteeri, hyväksytty/hylätty

Grading is pass after Student has done at least 80% of it.

Arviointimenetelmät ja arvioinnin perusteet

When you have done at least 80% of tasks, please send email to viopesupport@metropolia.fi.

Lisätiedot

Course prepares for UAS studies: The goal is to develop mathematical skills.

Course is delivered via Metropolia's Viope environment and it's 100% online (Self-Study) course.

Ajoitus

01.08.2022 - 31.12.2023

Opintopistemäärä

5 op

Virtuaaliosuus

5 op

Toteutustapa

Etäopetus

Yksikkö

ICT ja tuotantotalous

Toimipiste

Karaportti 2

Opetuskielet
  • Englanti
Paikat

0 - 1000

Koulutus
  • Tieto- ja viestintätekniikan tutkinto-ohjelma
Opettaja
  • Mika Hyyryläinen
  • Virve Prami
Vastuuopettaja

Janne Salonen

Tavoitteet

The student is able to perceive the meaning and interpretation of mathematical expressions. The student knows how to use the Cartesian coordinate system to visualize pairs of numbers and how to plot elementary functions. The student has a clear view of the characteristic properties of the graphs of most important elementary functions.
-----
The student is able to perform calculations with integers, fractions and decimal numbers. The student can simplify symbolic expressions composed of basic mathematical operations. The student can plot elementary functions. The student can solve for the angles of a given triangle.
The student is able to solve linear and quadratic equations, pairs of linear equations and most common types of equations containing roots, logarithms or exponentials.

Sisältö

Integers, basic algebraic operations and their rules. Fractions and calculations with fractions. Using letters as symbols of numbers. Basic rules of manipulating expressions that contain symbols and numbers. Basic rules for simplifying mathematical expressions. Decimal numbers and accuracy of calculations with decimal numbers. Roots and fractional powers. Solving linear equations and pairs of linear equations. Solving simple equations containing roots. Coordinate system, straight line, parabola and other basic functions. Direct and inverse proportionality. Trigonometric functions solving the right angle. Exponential and logarithmic functions and related simple equations.

Aika ja paikka

Because course is 100% online (Self-Study) course, study place and timetable is up to Student her-/himself.

Oppimateriaalit

Online

Opetusmenetelmät

100% online (Self-Study) course.

Harjoittelu- ja työelämäyhteistyö

N/A

Tenttien ajankohdat ja uusintamahdollisuudet

Online

Kansainvälisyys

N/A

Toteutuksen valinnaiset suoritustavat

N/A

Opiskelijan ajankäyttö ja kuormitus

Up to Student her-/himself.

Sisällön jaksotus

Up to Student her-/himself.

Arviointiasteikko

Hyväksytty/Hylätty

Arviointikriteeri, hyväksytty/hylätty

Grading is pass after Student has done at least 80% of it.

Arviointimenetelmät ja arvioinnin perusteet

When you have done at least 80% of tasks, please send email to viopesupport@metropolia.fi.

Lisätiedot

Course prepares for UAS studies: The goal is to develop mathematical skills.

Course is delivered via Metropolia's Viope environment and it's 100% online (Self-Study) course.

Ajoitus

01.08.2022 - 31.12.2023

Opintopistemäärä

5 op

Virtuaaliosuus

5 op

Toteutustapa

Etäopetus

Yksikkö

ICT ja tuotantotalous

Toimipiste

Karaportti 2

Opetuskielet
  • Englanti
Paikat

0 - 1000

Koulutus
  • Tieto- ja viestintätekniikan tutkinto-ohjelma
Opettaja
  • Mika Hyyryläinen
  • Virve Prami
Vastuuopettaja

Janne Salonen

Ryhmät
  • VIOPE_NonStop7
    VIOPE_NonStop7

Tavoitteet

The student is able to perceive the meaning and interpretation of mathematical expressions. The student knows how to use the Cartesian coordinate system to visualize pairs of numbers and how to plot elementary functions. The student has a clear view of the characteristic properties of the graphs of most important elementary functions.
-----
The student is able to perform calculations with integers, fractions and decimal numbers. The student can simplify symbolic expressions composed of basic mathematical operations. The student can plot elementary functions. The student can solve for the angles of a given triangle.
The student is able to solve linear and quadratic equations, pairs of linear equations and most common types of equations containing roots, logarithms or exponentials.

Sisältö

Integers, basic algebraic operations and their rules. Fractions and calculations with fractions. Using letters as symbols of numbers. Basic rules of manipulating expressions that contain symbols and numbers. Basic rules for simplifying mathematical expressions. Decimal numbers and accuracy of calculations with decimal numbers. Roots and fractional powers. Solving linear equations and pairs of linear equations. Solving simple equations containing roots. Coordinate system, straight line, parabola and other basic functions. Direct and inverse proportionality. Trigonometric functions solving the right angle. Exponential and logarithmic functions and related simple equations.

Aika ja paikka

Because course is 100% online (Self-Study) course, study place and timetable is up to Student her-/himself.

Oppimateriaalit

Online

Opetusmenetelmät

100% online (Self-Study) course.

Harjoittelu- ja työelämäyhteistyö

N/A

Tenttien ajankohdat ja uusintamahdollisuudet

Online

Kansainvälisyys

N/A

Toteutuksen valinnaiset suoritustavat

N/A

Opiskelijan ajankäyttö ja kuormitus

Up to Student her-/himself.

Sisällön jaksotus

Up to Student her-/himself.

Arviointiasteikko

Hyväksytty/Hylätty

Arviointikriteeri, hyväksytty/hylätty

Grading is pass after Student has done at least 80% of it.

Arviointimenetelmät ja arvioinnin perusteet

When you have done at least 80% of tasks, please send email to viopesupport@metropolia.fi.

Lisätiedot

Course prepares for UAS studies: The goal is to develop mathematical skills.

Course is delivered via Metropolia's Viope environment and it's 100% online (Self-Study) course.

Ajoitus

01.08.2022 - 31.12.2023

Opintopistemäärä

5 op

Virtuaaliosuus

5 op

Toteutustapa

Etäopetus

Yksikkö

ICT ja tuotantotalous

Toimipiste

Karaportti 2

Opetuskielet
  • Englanti
Paikat

0 - 1000

Koulutus
  • Tieto- ja viestintätekniikan tutkinto-ohjelma
Opettaja
  • Mika Hyyryläinen
  • Virve Prami
Vastuuopettaja

Janne Salonen

Ryhmät
  • VIOPE_NonStop7
    VIOPE_NonStop7

Tavoitteet

The student is able to perceive the meaning and interpretation of mathematical expressions. The student knows how to use the Cartesian coordinate system to visualize pairs of numbers and how to plot elementary functions. The student has a clear view of the characteristic properties of the graphs of most important elementary functions.
-----
The student is able to perform calculations with integers, fractions and decimal numbers. The student can simplify symbolic expressions composed of basic mathematical operations. The student can plot elementary functions. The student can solve for the angles of a given triangle.
The student is able to solve linear and quadratic equations, pairs of linear equations and most common types of equations containing roots, logarithms or exponentials.

Sisältö

Integers, basic algebraic operations and their rules. Fractions and calculations with fractions. Using letters as symbols of numbers. Basic rules of manipulating expressions that contain symbols and numbers. Basic rules for simplifying mathematical expressions. Decimal numbers and accuracy of calculations with decimal numbers. Roots and fractional powers. Solving linear equations and pairs of linear equations. Solving simple equations containing roots. Coordinate system, straight line, parabola and other basic functions. Direct and inverse proportionality. Trigonometric functions solving the right angle. Exponential and logarithmic functions and related simple equations.

Aika ja paikka

Because course is 100% online (Self-Study) course, study place and timetable is up to Student her-/himself.

Oppimateriaalit

Online

Opetusmenetelmät

100% online (Self-Study) course.

Harjoittelu- ja työelämäyhteistyö

N/A

Tenttien ajankohdat ja uusintamahdollisuudet

Online

Kansainvälisyys

N/A

Toteutuksen valinnaiset suoritustavat

N/A

Opiskelijan ajankäyttö ja kuormitus

Up to Student her-/himself.

Sisällön jaksotus

Up to Student her-/himself.

Arviointiasteikko

Hyväksytty/Hylätty

Arviointikriteeri, hyväksytty/hylätty

Grading is pass after Student has done at least 80% of it.

Arviointimenetelmät ja arvioinnin perusteet

When you have done at least 80% of tasks, please send email to viopesupport@metropolia.fi.

Lisätiedot

Course prepares for UAS studies: The goal is to develop mathematical skills.

Course is delivered via Metropolia's Viope environment and it's 100% online (Self-Study) course.

Ajoitus

01.08.2022 - 31.12.2023

Opintopistemäärä

5 op

Virtuaaliosuus

5 op

Toteutustapa

Etäopetus

Yksikkö

ICT ja tuotantotalous

Toimipiste

Karaportti 2

Opetuskielet
  • Englanti
Paikat

0 - 1000

Koulutus
  • Tieto- ja viestintätekniikan tutkinto-ohjelma
Opettaja
  • Mika Hyyryläinen
  • Virve Prami
Vastuuopettaja

Janne Salonen

Ryhmät
  • VIOPE_NonStop7
    VIOPE_NonStop7

Tavoitteet

The student is able to perceive the meaning and interpretation of mathematical expressions. The student knows how to use the Cartesian coordinate system to visualize pairs of numbers and how to plot elementary functions. The student has a clear view of the characteristic properties of the graphs of most important elementary functions.
-----
The student is able to perform calculations with integers, fractions and decimal numbers. The student can simplify symbolic expressions composed of basic mathematical operations. The student can plot elementary functions. The student can solve for the angles of a given triangle.
The student is able to solve linear and quadratic equations, pairs of linear equations and most common types of equations containing roots, logarithms or exponentials.

Sisältö

Integers, basic algebraic operations and their rules. Fractions and calculations with fractions. Using letters as symbols of numbers. Basic rules of manipulating expressions that contain symbols and numbers. Basic rules for simplifying mathematical expressions. Decimal numbers and accuracy of calculations with decimal numbers. Roots and fractional powers. Solving linear equations and pairs of linear equations. Solving simple equations containing roots. Coordinate system, straight line, parabola and other basic functions. Direct and inverse proportionality. Trigonometric functions solving the right angle. Exponential and logarithmic functions and related simple equations.

Aika ja paikka

Because course is 100% online (Self-Study) course, study place and timetable is up to Student her-/himself.

Oppimateriaalit

Online

Opetusmenetelmät

100% online (Self-Study) course.

Harjoittelu- ja työelämäyhteistyö

N/A

Tenttien ajankohdat ja uusintamahdollisuudet

Online

Kansainvälisyys

N/A

Toteutuksen valinnaiset suoritustavat

N/A

Opiskelijan ajankäyttö ja kuormitus

Up to Student her-/himself.

Sisällön jaksotus

Up to Student her-/himself.

Arviointiasteikko

Hyväksytty/Hylätty

Arviointikriteeri, hyväksytty/hylätty

Grading is pass after Student has done at least 80% of it.

Arviointimenetelmät ja arvioinnin perusteet

When you have done at least 80% of tasks, please send email to viopesupport@metropolia.fi.

Lisätiedot

Course prepares for UAS studies: The goal is to develop mathematical skills.

Course is delivered via Metropolia's Viope environment and it's 100% online (Self-Study) course.

Ajoitus

31.07.2022 - 31.12.2022

Opintopistemäärä

5 op

Virtuaaliosuus

5 op

Toteutustapa

Etäopetus

Yksikkö

ICT ja tuotantotalous

Toimipiste

Karaportti 2

Opetuskielet
  • Englanti
Paikat

0 - 1000

Koulutus
  • Tieto- ja viestintätekniikan tutkinto-ohjelma
Opettaja
  • Mika Hyyryläinen
Ryhmät
  • VIOPE_NonStop3
    VIOPE_NonStop3

Tavoitteet

The student is able to perceive the meaning and interpretation of mathematical expressions. The student knows how to use the Cartesian coordinate system to visualize pairs of numbers and how to plot elementary functions. The student has a clear view of the characteristic properties of the graphs of most important elementary functions.
-----
The student is able to perform calculations with integers, fractions and decimal numbers. The student can simplify symbolic expressions composed of basic mathematical operations. The student can plot elementary functions. The student can solve for the angles of a given triangle.
The student is able to solve linear and quadratic equations, pairs of linear equations and most common types of equations containing roots, logarithms or exponentials.

Sisältö

Integers, basic algebraic operations and their rules. Fractions and calculations with fractions. Using letters as symbols of numbers. Basic rules of manipulating expressions that contain symbols and numbers. Basic rules for simplifying mathematical expressions. Decimal numbers and accuracy of calculations with decimal numbers. Roots and fractional powers. Solving linear equations and pairs of linear equations. Solving simple equations containing roots. Coordinate system, straight line, parabola and other basic functions. Direct and inverse proportionality. Trigonometric functions solving the right angle. Exponential and logarithmic functions and related simple equations.

Aika ja paikka

Because course is 100% online (Self-Study) course, study place and timetable is up to Student her-/himself.

Oppimateriaalit

Online

Opetusmenetelmät

100% online (Self-Study) course.

Harjoittelu- ja työelämäyhteistyö

N/A

Tenttien ajankohdat ja uusintamahdollisuudet

Online

Kansainvälisyys

N/A

Toteutuksen valinnaiset suoritustavat

N/A

Opiskelijan ajankäyttö ja kuormitus

Up to Student her-/himself.

Sisällön jaksotus

Up to Student her-/himself.

Lisätietoja opiskelijoille

ENROLLING

Open UAS Student via https://hakija.oma.metropolia.fi/
CampusOnline Students via eform which can be find via https://campusonline.fi

Metropolia's Degree Student
- Go to https://vw4.viope.com/login?org=metropolia
- Register to system -> Click the link “Enroll on the course”
- Choose any course of (NonStop).
- Fill the others fields

If you have problems with enrolling into this course or questions about it, please contact to viopesupport@metropolia.fi

Arviointiasteikko

Hyväksytty/Hylätty

Arviointikriteeri, hyväksytty/hylätty

Grading is pass after Student has done at least 80% of it.

Arviointimenetelmät ja arvioinnin perusteet

When you have done at least 80% of tasks, please send email to viopesupport@metropolia.fi.

Lisätiedot

Course prepares for UAS studies: The goal is to develop mathematical skills.

Course is delivered via Metropolia's Viope environment and it's 100% online (Self-Study) course.

Ajoitus

18.02.2022 - 30.12.2022

Opintopistemäärä

5 op

Virtuaaliosuus

5 op

Toteutustapa

Etäopetus

Yksikkö

ICT ja tuotantotalous

Toimipiste

Karaportti 2

Opetuskielet
  • Englanti
Paikat

0 - 1000

Koulutus
  • Tieto- ja viestintätekniikan tutkinto-ohjelma
Opettaja
  • Mika Hyyryläinen

Tavoitteet

The student is able to perceive the meaning and interpretation of mathematical expressions. The student knows how to use the Cartesian coordinate system to visualize pairs of numbers and how to plot elementary functions. The student has a clear view of the characteristic properties of the graphs of most important elementary functions.
-----
The student is able to perform calculations with integers, fractions and decimal numbers. The student can simplify symbolic expressions composed of basic mathematical operations. The student can plot elementary functions. The student can solve for the angles of a given triangle.
The student is able to solve linear and quadratic equations, pairs of linear equations and most common types of equations containing roots, logarithms or exponentials.

Sisältö

Integers, basic algebraic operations and their rules. Fractions and calculations with fractions. Using letters as symbols of numbers. Basic rules of manipulating expressions that contain symbols and numbers. Basic rules for simplifying mathematical expressions. Decimal numbers and accuracy of calculations with decimal numbers. Roots and fractional powers. Solving linear equations and pairs of linear equations. Solving simple equations containing roots. Coordinate system, straight line, parabola and other basic functions. Direct and inverse proportionality. Trigonometric functions solving the right angle. Exponential and logarithmic functions and related simple equations.

Aika ja paikka

Because course is 100% online (Self-Study) course, study place and timetable is up to Student her-/himself.

Oppimateriaalit

Online

Opetusmenetelmät

100% online (Self-Study) course.

Harjoittelu- ja työelämäyhteistyö

N/A

Tenttien ajankohdat ja uusintamahdollisuudet

Online

Kansainvälisyys

N/A

Toteutuksen valinnaiset suoritustavat

N/A

Opiskelijan ajankäyttö ja kuormitus

Up to Student her-/himself.

Sisällön jaksotus

Up to Student her-/himself.

Lisätietoja opiskelijoille

ENROLLING
Open UAS and CampusOnline Student via https://hakija.oma.metropolia.fi/

Metropolia's Degree Student: https://vw4.viope.com/login?org=metropolia
- Register to system -> Click the link “Enroll on the course”
- Choose any course of (NonStop).
- Fill the others fields

Arviointiasteikko

Hyväksytty/Hylätty

Arviointikriteeri, hyväksytty/hylätty

Grading is pass after Student has done at least 80% of it.

Arviointimenetelmät ja arvioinnin perusteet

When you have done at least 80% of tasks, please send email to viopesupport@metropolia.fi.

Lisätiedot

Course prepares for UAS studies: The goal is to develop mathematical skills.

Course is delivered via Metropolia's Viope environment and it's 100% online (Self-Study) course.

Ajoitus

18.02.2022 - 30.12.2022

Opintopistemäärä

5 op

Virtuaaliosuus

5 op

Toteutustapa

Etäopetus

Yksikkö

ICT ja tuotantotalous

Toimipiste

Karaportti 2

Opetuskielet
  • Englanti
Paikat

0 - 1000

Koulutus
  • Tieto- ja viestintätekniikan tutkinto-ohjelma
Opettaja
  • Mika Hyyryläinen
Ryhmät
  • ATX22TVK
    Avoin amk: NonStop kevät 2022

Tavoitteet

The student is able to perceive the meaning and interpretation of mathematical expressions. The student knows how to use the Cartesian coordinate system to visualize pairs of numbers and how to plot elementary functions. The student has a clear view of the characteristic properties of the graphs of most important elementary functions.
-----
The student is able to perform calculations with integers, fractions and decimal numbers. The student can simplify symbolic expressions composed of basic mathematical operations. The student can plot elementary functions. The student can solve for the angles of a given triangle.
The student is able to solve linear and quadratic equations, pairs of linear equations and most common types of equations containing roots, logarithms or exponentials.

Sisältö

Integers, basic algebraic operations and their rules. Fractions and calculations with fractions. Using letters as symbols of numbers. Basic rules of manipulating expressions that contain symbols and numbers. Basic rules for simplifying mathematical expressions. Decimal numbers and accuracy of calculations with decimal numbers. Roots and fractional powers. Solving linear equations and pairs of linear equations. Solving simple equations containing roots. Coordinate system, straight line, parabola and other basic functions. Direct and inverse proportionality. Trigonometric functions solving the right angle. Exponential and logarithmic functions and related simple equations.

Aika ja paikka

Because course is 100% online (Self-Study) course, study place and timetable is up to Student her-/himself.

Oppimateriaalit

Online

Opetusmenetelmät

100% online (Self-Study) course.

Harjoittelu- ja työelämäyhteistyö

N/A

Tenttien ajankohdat ja uusintamahdollisuudet

Online

Kansainvälisyys

N/A

Toteutuksen valinnaiset suoritustavat

N/A

Opiskelijan ajankäyttö ja kuormitus

Up to Student her-/himself.

Sisällön jaksotus

Up to Student her-/himself.

Lisätietoja opiskelijoille

ENROLLING
Open UAS and CampusOnline Student via https://hakija.oma.metropolia.fi/

Metropolia's Degree Student: https://vw4.viope.com/login?org=metropolia
- Register to system -> Click the link “Enroll on the course”
- Choose any course of (NonStop).
- Fill the others fields

Arviointiasteikko

Hyväksytty/Hylätty

Arviointikriteeri, hyväksytty/hylätty

Grading is pass after Student has done at least 80% of it.

Arviointimenetelmät ja arvioinnin perusteet

When you have done at least 80% of tasks, please send email to viopesupport@metropolia.fi.

Lisätiedot

Course prepares for UAS studies: The goal is to develop mathematical skills.

Course is delivered via Metropolia's Viope environment and it's 100% online (Self-Study) course.

Ajoitus

18.02.2022 - 06.08.2022

Opintopistemäärä

5 op

Virtuaaliosuus

5 op

Toteutustapa

Etäopetus

Yksikkö

ICT ja tuotantotalous

Toimipiste

Karaportti 2

Opetuskielet
  • Englanti
Paikat

0 - 1000

Koulutus
  • Tieto- ja viestintätekniikan tutkinto-ohjelma
Opettaja
  • Mika Hyyryläinen
Ryhmät
  • ATX22TVK
    Avoin amk: NonStop kevät 2022

Tavoitteet

The student is able to perceive the meaning and interpretation of mathematical expressions. The student knows how to use the Cartesian coordinate system to visualize pairs of numbers and how to plot elementary functions. The student has a clear view of the characteristic properties of the graphs of most important elementary functions.
-----
The student is able to perform calculations with integers, fractions and decimal numbers. The student can simplify symbolic expressions composed of basic mathematical operations. The student can plot elementary functions. The student can solve for the angles of a given triangle.
The student is able to solve linear and quadratic equations, pairs of linear equations and most common types of equations containing roots, logarithms or exponentials.

Sisältö

Integers, basic algebraic operations and their rules. Fractions and calculations with fractions. Using letters as symbols of numbers. Basic rules of manipulating expressions that contain symbols and numbers. Basic rules for simplifying mathematical expressions. Decimal numbers and accuracy of calculations with decimal numbers. Roots and fractional powers. Solving linear equations and pairs of linear equations. Solving simple equations containing roots. Coordinate system, straight line, parabola and other basic functions. Direct and inverse proportionality. Trigonometric functions solving the right angle. Exponential and logarithmic functions and related simple equations.

Aika ja paikka

Because course is 100% online (Self-Study) course, study place and timetable is up to Student her-/himself.

Oppimateriaalit

Online

Opetusmenetelmät

100% online (Self-Study) course.

Harjoittelu- ja työelämäyhteistyö

N/A

Tenttien ajankohdat ja uusintamahdollisuudet

Online

Kansainvälisyys

N/A

Toteutuksen valinnaiset suoritustavat

N/A

Opiskelijan ajankäyttö ja kuormitus

Up to Student her-/himself.

Sisällön jaksotus

Up to Student her-/himself.

Lisätietoja opiskelijoille

ENROLLING
Open UAS and CampusOnline Student via https://hakija.oma.metropolia.fi/

Metropolia's Degree Student: https://vw4.viope.com/login?org=metropolia
- Register to system -> Click the link “Enroll on the course”
- Choose any course of (NonStop).
- Fill the others fields

Arviointiasteikko

Hyväksytty/Hylätty

Arviointikriteeri, hyväksytty/hylätty

Grading is pass after Student has done at least 80% of it.

Arviointimenetelmät ja arvioinnin perusteet

When you have done at least 80% of tasks, please send email to viopesupport@metropolia.fi.

Lisätiedot

Course prepares for UAS studies: The goal is to develop mathematical skills.

Course is delivered via Metropolia's Viope environment and it's 100% online (Self-Study) course.

Ajoitus

01.01.2022 - 31.12.2022

Opintopistemäärä

5 op

Virtuaaliosuus

5 op

Toteutustapa

Etäopetus

Yksikkö

ICT ja tuotantotalous

Toimipiste

Karaportti 2

Opetuskielet
  • Englanti
Paikat

0 - 1000

Koulutus
  • Tieto- ja viestintätekniikan tutkinto-ohjelma
Opettaja
  • Mika Hyyryläinen
Ryhmät
  • VIOPE_NonStop
    Viope (NonStop)
  • VIOPE_2022_MAKSULLINEN_JÄRJESTELMÄ
    Viope TiVi (NonStop), vuosi 2022

Tavoitteet

The student is able to perceive the meaning and interpretation of mathematical expressions. The student knows how to use the Cartesian coordinate system to visualize pairs of numbers and how to plot elementary functions. The student has a clear view of the characteristic properties of the graphs of most important elementary functions.
-----
The student is able to perform calculations with integers, fractions and decimal numbers. The student can simplify symbolic expressions composed of basic mathematical operations. The student can plot elementary functions. The student can solve for the angles of a given triangle.
The student is able to solve linear and quadratic equations, pairs of linear equations and most common types of equations containing roots, logarithms or exponentials.

Sisältö

Integers, basic algebraic operations and their rules. Fractions and calculations with fractions. Using letters as symbols of numbers. Basic rules of manipulating expressions that contain symbols and numbers. Basic rules for simplifying mathematical expressions. Decimal numbers and accuracy of calculations with decimal numbers. Roots and fractional powers. Solving linear equations and pairs of linear equations. Solving simple equations containing roots. Coordinate system, straight line, parabola and other basic functions. Direct and inverse proportionality. Trigonometric functions solving the right angle. Exponential and logarithmic functions and related simple equations.

Aika ja paikka

Because course is 100% online (Self-Study) course, study place and timetable is up to Student her-/himself.

Oppimateriaalit

Online

Opetusmenetelmät

100% online (Self-Study) course.

Harjoittelu- ja työelämäyhteistyö

N/A

Tenttien ajankohdat ja uusintamahdollisuudet

Online

Kansainvälisyys

N/A

Toteutuksen valinnaiset suoritustavat

N/A

Opiskelijan ajankäyttö ja kuormitus

Up to Student her-/himself.

Sisällön jaksotus

Up to Student her-/himself.

Lisätietoja opiskelijoille

ENROLLING
Open UAS and CampusOnline Student via https://hakija.oma.metropolia.fi/

Metropolia's Degree Student: https://vw4.viope.com/login?org=metropolia
- Register to system -> Click the link “Enroll on the course”
- Choose any course of (NonStop).
- Fill the others fields

Arviointiasteikko

Hyväksytty/Hylätty

Arviointikriteeri, hyväksytty/hylätty

Grading is pass after Student has done at least 80% of it.

Arviointimenetelmät ja arvioinnin perusteet

When you have done at least 80% of tasks, please send email to viopesupport@metropolia.fi.

Lisätiedot

Course prepares for UAS studies: The goal is to develop mathematical skills.

Course is delivered via Metropolia's Viope environment and it's 100% online (Self-Study) course.

Ajoitus

15.03.2021 - 31.12.2023

Opintopistemäärä

5 op

Virtuaaliosuus

5 op

Toteutustapa

Etäopetus

Yksikkö

ICT ja tuotantotalous

Toimipiste

Karaportti 2

Opetuskielet
  • Englanti
Paikat

0 - 500

Koulutus
  • Tieto- ja viestintätekniikan tutkinto-ohjelma
Vastuuopettaja

Janne Salonen

Ryhmät
  • CareerBoost_TXK_21
    Career Boost 21 (Tivi)
  • CareerBoost_TXK_22
    Career Boost 22 (TiVi)

Tavoitteet

The student is able to perceive the meaning and interpretation of mathematical expressions. The student knows how to use the Cartesian coordinate system to visualize pairs of numbers and how to plot elementary functions. The student has a clear view of the characteristic properties of the graphs of most important elementary functions.
-----
The student is able to perform calculations with integers, fractions and decimal numbers. The student can simplify symbolic expressions composed of basic mathematical operations. The student can plot elementary functions. The student can solve for the angles of a given triangle.
The student is able to solve linear and quadratic equations, pairs of linear equations and most common types of equations containing roots, logarithms or exponentials.

Sisältö

Integers, basic algebraic operations and their rules. Fractions and calculations with fractions. Using letters as symbols of numbers. Basic rules of manipulating expressions that contain symbols and numbers. Basic rules for simplifying mathematical expressions. Decimal numbers and accuracy of calculations with decimal numbers. Roots and fractional powers. Solving linear equations and pairs of linear equations. Solving simple equations containing roots. Coordinate system, straight line, parabola and other basic functions. Direct and inverse proportionality. Trigonometric functions solving the right angle. Exponential and logarithmic functions and related simple equations.

Aika ja paikka

Because course is 100% online (Self-Study) course, study place and timetable is up to Student her-/himself.

Oppimateriaalit

Online

Opetusmenetelmät

100% online (Self-Study) course.

Harjoittelu- ja työelämäyhteistyö

N/A

Tenttien ajankohdat ja uusintamahdollisuudet

Online

Kansainvälisyys

N/A

Toteutuksen valinnaiset suoritustavat

N/A

Opiskelijan ajankäyttö ja kuormitus

Up to Student her-/himself.

Sisällön jaksotus

Up to Student her-/himself.

Arviointiasteikko

Hyväksytty/Hylätty

Arviointikriteeri, hyväksytty/hylätty

Grading is pass after Student has done at least 80% of it.

Arviointimenetelmät ja arvioinnin perusteet

When you have done at least 80% of tasks, please send email to viopesupport@metropolia.fi.

Lisätiedot

Course prepares for UAS studies: The goal is to develop mathematical skills.

Course is delivered via Metropolia's Viope environment and it's 100% online (Self-Study) course.