Study Guide

Objective

The student can use geometry, trigonometry and vectors to model and solve problems

Content

- Right angled triangles
- Basic trigonometric functions (cosine, sine and tangent)
- Angle units (degrees vs radians)
- The sine and cosine formula
- Uniformity and scales
- Definition of the vector concept
- Rules for vector operations
- Dot product
- Projections
- Cross product
- Introduction to matrices
- MatchCad exercises

Qualifications

No prerequisites

Assessment criteria, satisfactory (1)

Trigonometry: Master the trigonometry of right angled triangles
Area and volume calculations: Can calculate areas and volumes of simple figures and bodies
Vectors: Can perform calculations with two-dimensional vectors
Matrices: Knows matrices and determinants and can perform simple calculations with them
Models and problem solving: Have some understanding of how to use a mathematical model and how it can be solved.

Assessment criteria, good (3)

Trigonometry: Master the trigonometry of any triangle
Area and volume calculations: Can calculate areas and volumes for more complicated figures and bodies
Vectors: Can do basic calculations with three-dimensional vectors
Matrices: Can set up and solve linear equation systems using matrices
Models and problem solving: Have a good understanding of how to use a mathematical model and how it can be solved.

Assessment criteria, excellent (5)

Trigonometry: Can apply the theory for solving more complicated problems
Area and volume calculations: Can calculate areas and volumes for figures and bodies using vectors
Vectors: Can apply vectors to more complicated problems and master the use of vectors in software programs.
Matrices: Master the use of matrices in software programs
Models and problem solving: Can apply mathematical models to technical problems.

Materials

Booklet containing theory and exercises. Other material and recommended books will be announced at the start of the course.