Mathematics for Building Services Systems 2 (5 ECTS)

Learning outcomes

The student can explain concepts of definite integral and antiderivative. They can evaluate definite integrals using graph, numerical methods and the fundamental theorem of calculus. The student can apply integrals in geometric and physical problems. They can identify a differential equation and solve simple differential equations. They are able to model mathematical and physical phenomena with differential equations.The student is familiar with basic financial calculations.

Content

Concepts of definite integral and antiderivative. Evaluating definite integrals using graph, numerical methods and the fundamental theorem of calculus. Exploitation of integration: geometrical and engineering applications. Introduction to differential equations, modelling phenomena with differential equations. Solving differential equations. Interest and index calculations. If statement and logical operators.

Prerequisites

Competences of the following studies:

Mathematics for Building Services Systems 1

Teaching methods

Lähiopetus, aktivoivat luennot
Työpaja
Itsenäinen verkko-opiskelu
Oppimistehtävät

Location and time

Lähiopetus viikottain (tiistaisin) lukujärjestyksen mukaisesti.

Learning materials and recommended literature

Oppimateriaali Moodlessa

Alternative completion methods of implementation

Ei ole

Internship and working life connections

Ei ole

Exam dates and retake possibilities

Koe viikolla 45. Katso tarkemmin lukujärjestyksestä.
Ensimmäinen uusinta viikolla 51.

Student workload

Lähitunteja 2 - 3 h / viikko. Kurssin suorittaminen vaatii opiskelijalta itsenäistä ja itseohjautuvaa työotetta ja ajankäytön suunnittelua. Resurssit: 5 op x 27 h = 135 h.

Content scheduling

Loogiset operaattorit ja IF-lause Excelissä (n. 8 h)
Integraali (n. 50 h)
Differentiaaliyhtälöt (n. 25 h)
Talousmatematiikka (n. 50 h)

Further information for students

Kurssilla käytetään Exceliä.

Assessment methods and criteria

Arviointi perustuu oppimistehtäviin sekä tenttiin. Tentissä testataan kurssin integraali- ja differentiaaliyhtälöosuus sekä loogiset operaattorit ja if-lause. Kokeesta on saatava vähintään 40 % pisteistä. Oppimistehtäviä on kurssin kaikista aihealueista ja näistä on suoritettava kurssin alussa ilmoitettavat vähimmäismäärät.

Evaluation scale

0-5

Assessment criteria, satisfactory (1)

The students are able to recognize the fundamental concepts and methods associated with the course and are able to solve simple problems.

Assessment criteria, good (3)

The students are able to apply the fundamental concepts and methods associated with the course to simple problems related to course contents.

Assessment criteria, excellent (5)

The students are able to apply the fundamental concepts and methods associated with the course to more demanding problems related to course contents.

Assessment criteria, approved/failed

The students are able to recognize the fundamental concepts and methods associated with the course and are able to solve simple problems.