Mathematics and physics for game programmersLaajuus (5 cr)

Objective

The student masters the mathematical foundations and methods behind computer graphics. The student knows how to use numerical methods to solve differential equations. The student knows how to calculate the effect of force on the body's state of motion, especially in rotating motion and two-dimensional collisions.

Content

Mathematics section:

Vectors
Matrices
Application of vectors and matrices in graphics
- Rotation, translation, scaling (including projection)
Complex numbers and quaternions
Differential equations

Physics part:

Resistance of the medium
Spring force and harmonious movement
Circular and rotational motion, angular momentum
2D collisions, impulse
Numerical methods

Materials

E.g., not mandatory:
Flynt, J., P, Kodicek D.: Mathematics and Physics for Programmers, Course tecnology, 2013

Assessment criteria, excellent (5)

90-100% of exam points --> Grade 5

Assessment criteria, good (3)

80-89% of exam points --> Grade 4
70-79% of exam points --> Grade 3

Assessment criteria, satisfactory (1)

60-69% of exam points --> Grade 2
50-59% of exam points --> Grade 1

Execution methods

Lectures and calculation exercises

Accomplishment methods

Exam