Underneath every 3D computer game is a game engine that makes it possible to display objects that move around in the game world. We call this world the virtual world. There is also a similar engine at the bottom of animation films and 3D design programs for e.g. 3D printing, 3D laser cutting, CNC milling etc.
The virtual camera makes it possible to visualize objects that do not exist in the real world or that are not easily accessible in the real world. For example, in Google maps you can see a 3D visualization of the Eiffel Tower in Paris without actually being there.

The course contains some mathematics and physics:
* Parameter production of geometric figures, e.g. line, circle, ellipse
* cosine and sine
* Vector calculation in 2 and 3 dimensions
* Matrix calculation
* Differentiation and integration of simple functions
* Analytical solution of simple differential equations
* Numerical methods for solving differential equations
* Newton's laws including the law of gravity
* Free fall with and without air resistance
Implementing the math in a Java class library:
* Programming graphics in Java
* Classes for vectors in 2 and 3 dimensions
* Classes for matrices
* Classes for virtual camera
* animations

Understand the basic structure of 3D computer games
Understand concepts such as the 'virtual world' and the 'virtual camera'

Implement a simple 3D game engine.
Implement simple animations in the virtual world.

Assess the use of 3D engines in various areas of application such as computer games, animation films etc.