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

This course has contact lectures but material enables studying also at own pace. However, questions are answered during the contact lectures, not by email.

Learning material and recommended literature

All material is available in moodle.

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 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.