Mathematics and physics for game developerLaajuus (5 cr)

Objective

The student understands the constraints and restrictions of computer calculations
The student knows the basics of vector and matrix algebra as well as different transformations in the 3D-space
The student understands how the center of mass is calculated and how it affects the physics calculation in games
The student can model simple discrete time mechanics programmatically
The student knows how to program a simple collision detection system and how to solve those collisions

Content

Representation of number systems and rounding error in computers
Vectors, matrices, quaternions. Translation, scaling and rotation in 3D-space.
Applying trigonometry for different problems in games.
Kinematics, forces and kinetics.
Collisions, collision detection and resolution

Accomplishment methods

Students are able to:
a. use professional vocabulary systematically.
b. look for information in the key information sources of the field.
c. identify interrelated tasks.
e. use the key models, methods, software and techniques of the professional field.