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

Self-paced online course.

Automatically checked assignments award points to complete the course. Assignments alone can pass the course, but higher grades require participation in an applied exam.

Learning material and recommended literature

will be informed at the beginning of the course.

Learning environment

Material is 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
- Applying differentiation
- Integrals of polynomial functions
- Area with integrals
- Volume with integrals

Additional information for students: previous knowledge etc.

Tekniikan matematiikka 1

Assessment criteria

Exercises and 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 formathematical methods and can solve simple mechanical exercises.

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

A student understands requirements mathematical methods 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 mathematical methods and is able to analyze engineering problems. At least 83 % of maximum scores.