Siirry suoraan sisältöön

Matemaattis-luonnontieteelliset perusopinnot 1 (5 cr)

Code: TX00BK04-3021

General information


Enrollment

02.05.2019 - 01.09.2019

Timing

26.08.2019 - 20.12.2019

Number of ECTS credits allocated

5 op

Mode of delivery

Contact teaching

Unit

Kiinteistö- ja rakennusala

Campus

Myllypurontie 1

Teaching languages

  • Finnish

Degree programmes

  • Rakennustekniikan tutkinto-ohjelma

Teachers

  • Veijo Pulkkanen

Teacher in charge

Veijo Pulkkanen

Groups

  • R19C
    Rakennustekniikka

Objective

Learning outcomes Expressions and equations
On completion of the course, the student will be able to
- compute the value of a given physical expression
- simplify expressions
- solve simple equations and pairs of equations
- use coordinates to represent points and draw graphs of simple functions
- use vectors with kinematics and forces
- use trigonometric functions when considering the components of velocity, acceleration and force.
Mechanics
On completion of the course the student will be able to
- work with physical equations and perform unit conversions
- define the basic kinematics quantities
- describe the motion of a body computationally and graphically
- explain the concept of force and describe different types of forces
- draw the force diagram of a body
- present Newton’s laws
- model the dynamics of a body
- describe the concept of energy
- define work, kinetic energy, potential energy and power
- present the principle of conservation of energy and the work-energy principle
- model energy conversion and transfer.

Content

Expressions and equations
- number types
- rules of computing
- expressions, value of an expression and simplifying an expression
- polynomials, power and root expressions
- equations of first and second degree
- pair of linear equations
- direct and inverse proportionality
- coordinate system, graphs of first and second degree polynomials
- concept of vector and basics of trigonometry.
Mechanics
- physical equations and unit conversions
- kinematics: position, displacement, velocity and acceleration
- dynamics: the concept of force, types of forces, force diagram, Newton’s laws
- energy: the concept of energy, conservation of energy, work, mechanical energy, work-energy principle, power.

Evaluation scale

0-5

Assessment criteria, satisfactory (1)

Expressions and equations
The student is able to
- compute the value of a given physical expression
- simplify elementary algebraic expressions
- form and solve simple equations
- use a coordinate system
- use vectors with kinematics and forces
- use trigonometric functions when considering the components of velocities, accelerations and forces
Mechanics
The student is able to
- work with simple physical equations and perform basic mechanics unit conversions
- describe a uniformly accelerated rectilinear motion
- draw a force diagram of a body
- model the dynamics of a body subject to parallel forces
- describe the concepts of energy and power

Assessment criteria, good (3)

Expressions and equations
The student is able to
- compute the value of a given physical expression with unit conversions
- simplify algebraic expressions
- form and solve equations
- use different coordinate systems
- use vectors with kinematics and forces
- use trigonometric functions when considering the components of velocities, accelerations and forces
Mechanics
The student is able to
- work with physical equations and perform mechanics unit conversions
- describe a rectilinear motion computationally and graphically
- draw the force diagrams of a many-body system
- model the dynamics of a body
- model energy conversion and transfer in simple systems

Assessment criteria, excellent (5)

Expressions and equations
The student is able to
- compute the value of a complicated physical expression
- simplify complicated algebraic expressions
- form and solve equations
- use different coordinate systems and system conversions
- use vectors with kinematics and forces
- use trigonometric functions when considering the components of velocities, accelerations and forces
Mechanics
The student is able to
- work with complicated physical equations and perform mechanics unit conversions
- describe rectilinear motion computationally and graphically and identify the components of a multidimensional motion
- draw the force diagrams of a many-body system
- model the dynamics of a many-body system
- model multi-stage energy conversion and transfer

Assessment criteria, approved/failed

Expressions and equations
The student is able to
- compute the value of a given physical expression
- simplify elementary algebraic expressions
- form and solve simple equations
- use a coordinate system
- use vectors with kinematics and forces
- use trigonometric functions when considering the components of velocities, accelerations and forces
Mechanics
The student is able to
- work with simple physical equations and perform basic mechanics unit conversions
- describe a uniformly accelerated rectilinear motion
- draw a force diagram of a body
- model the dynamics of a body subject to parallel forces
- describe the concepts of energy and power

Qualifications

None