Study Guide

Learning outcomes

Student is able to
- calculate and simulate mathematical expressions
- solve geometric and trigonometric problems
- knows bacis of vectors in plane

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

All material is available in moodle.

Learning environment

The course is studied with material in moodle.

Contents

- Percentages, polynomial equations (1. and 2. degree), systems of two linear equations: word problems
- Basics of trigonometry (right-angled triangle, non-right angled triangle, unit circle)
- Geometry in plain
- Vectors in plain

Review on topics of Johdatus matematiikkaan (Introduction to mathematics), if needed.

Additional information for students: previous knowledge etc.

Johdatus matematiikkaan (Introduction to mathematics) or corresponding knowledge from expressions, unit transformation, equations, and system of two equations.

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.