Study Guide

Learning outcomes

Student is able to:
- recognise different polynomial equations, functions, and polynomial graphics
- solve inequalities
- solve simultaneous equations with the software
- solve basic space vectors
- utilise space vectors
- solve exponential and logarithm functions

Implementation and methods of teaching

This is an online version of Tekniikan matematiikka 1. The course can studied at own pace, although there are scheduled lectures available. The number of lectures is less than in contact teaching.

The course can be studied during the autumn but lectures are after autumn break.

Learning material and recommended literature

All material is available in moodle.

Learning environment

The course is studied with material in moodle.

Contents

- Concept of a function
- Polynomial functions
- Linear and quadratic inequalities
- Equations with absolute values
- Equations with roots
- Equations of the higher degrees
- Exponential functions and equations
- Logarithmic functions and equations
- System of equations
- Matrices
- Geometry 3d
- Vectors in space
- Dot product and projection

Additional information for students: previous knowledge etc.

Tekniikan matematiikan perusteet or corresponding knowledge.

Assessment criteria

Exercises and an applied test.

Assessment scale

1-5

Failed (0)

A student cannot solve mechanical exercises well enough. Less than 33% of maximum scores.

Assessment criteria: level 1 (assessment scale 1–5)

A student knows methods for geometry in plain and for vectors in plain and can solve simple mechanical exercises.

Assessment criteria: level 3 (assessment scale 1–5)

A student understands requirements of geometry and vectors in plain and is able to apply them in some extent in engineering problems.
At least 57% of maximum scores.

Assessment criteria: level 5 (assessment scale 1–5)

A student masters geometry and vectors in plain and is able to analyze engineering problems. At least 83% of maximum scores.