Study Guide

Learning outcomes

Student is able to:
- derivate functions and utilise derivation in practice
- integrate polynomial functions and utilise integration in practice
- solve other equations and trigonometrical problems

Implementation and methods of teaching

Lectures and exercises.
The learning material enables individual progress.

Timing and attendance

Contact teaching 48 hours and exercises.
Exam in the classroom.

Learning material and recommended literature

All material is available in moodle.

Alternative completion methods

Exam

Exam retakes

To be announced during the course.

Learning environment

Moodle learning environment

Student time use and work load

3 op / 80 h

Contents

- Composite and inverse functions
- Trigonometric functions and equations
- Derivatives of polynomial and rational functions
- Derivatives of exponential and logarithmic functions
- Derivatives of trigonometric and arc functions
- Extremes
- Integrals of polynomial functions
- Area with integrals
- Volume with integrals

Additional information for students: previous knowledge etc.

Mathematics in Technology 1 or corresponding knowledge.

Assessment criteria

Exercises and tests

Assessment scale

1-5

Failed (0)

A student cannot solve mechanical exercises well enough. Less than 40% 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.

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

A student masters geometry and vectors in plain and is able to analyze engineering problems.