Study Guide

Objective

You understand basic trigonometry
You are able to apply basic trigonometry in programming
You understand the concept of a vector and vector calculus
You are write an implementation of a vector and vector operations in a program
You are able to write programs that use vectors in calculations
You understand the concept of a matrix and matrix calculus
You are able to write an implementation of a matrix and matrix operations in a program
You are able to write programs that use matrices in calculations
You are able to write programs that use matrices and vectors in calculations
You understand the matrix transformations
You are able to write programs that use matrix transformatins in calculations
You are able to describe your program implementation in mathematically

Content

Trigonometry:
- Solving a triangle, sine and cosine laws
- Extending an angle to a unit circle
- Angle units

Vectors:
- Basic concepts
- Vector calculus
- Dot product
- Cross product
- Scalar and vector projections

Matrices
- Basic concepts
- Matrix calculus
- Transpose
- Determinant
- Inverse matrix

Matrix transformations:
- Translation, rotation, scaling

Implementation of concepts with a programming language

Location and time

All classes are held remotely in Moodle between 8.1.2024-10.3.2024.

Materials

All course material is available from Moodle workspace.

Teaching methods

Lectures and assignments from mathematics, and applying theory into practice in programming assignments
Learning goals:
You understand basic trigonometry
You are able to apply basic trigonometry in programming
You understand the concept of a vector and vector calculus
You are write an implementation of a vector and vector operations in a program
You are able to write programs that use vectors in calculations
You understand the concept of a matrix and matrix calculus
You are able to write an implementation of a matrix and matrix operations in a program
You are able to write programs that use matrices in calculations
You are able to write programs that use matrices and vectors in calculations
You understand the matrix transformations
You are able to write programs that use matrix transformations in calculations

Exam schedules

Course has two re-attempt possibilities, and you enroll to them via course Moodle workspace.

Evaluation scale

H-5

Assessment methods and criteria

Math theory:
• Theory assignments are evaluated with scale 0-5
• Late submissions are not accepted.

Programming assignments and demonstrations
• Individual work, presented using written or audiovisual submission
• Graded using Bloom's taxonomy 0-5
• Must be submitted by the end of the course

Feedback
• All feedback forms must be submitted in order to pass this course.

Course grade:
• All theory and programming assignments, that contribute to final score, must be passed with minimum grade of 1 in each course section.
• Scores will be evenly weighted, theory contributes 50%, programming assignments contribute 50%

Minimum relative scores and respective grades:
35% = 1
47.75% = 2
60.5% = 3
73.25% = 4
86 % = 5

Further information

Potential integration with C++ programming, combined assignments but with different content subject matter.