Class Introduction to Mathematics and Physics for Games II

The objectives of this curricular unit is to give students basic understanding about mathematics and physics, mainly as tool for the development of games.

In this curricular unit, students will learn the concepts of calculus, probability and statistics, linear kinematics, linear and rotational dynamics, focused mainly on the concepts of force, acceleration, velocity and position. They will also learn more advanced concepts about rendering, mainly lighting and texturing.

All of this will be contextualized with videogames and modern game engines, to enable them to build sophisticated environments and simulations.

At the end of the course, students will have to create a game based on physics, using Python and Pygame and a small engine provided by the teacher.

• Concepts of probability and statistics
• Linear kinematics and calculus: basic quantities and units; average velocity; instant velocity and its derivative; acceleration and its movement under constant acceleration; circular uniform movement.
• Linear and rotational dynamics: Newton's laws, force, momentum and collisions; rigid body simulations.
• Physics engines in videogames.
• Advanced concepts of collision detection and response: discrete and swept tests.
• Differential calculus.

Peer review methodology with "Socrative" software (as an example).

• Dunn, F., & Parberry, I. (2011). 3D Math Primer for Graphics and Game Development (2nd ed.). CRC Press.
• Craven, P. (2016). Program Arcade Games: With Python and Pygame. Apress.
• Griffiths, D. (2009). Head First Statistics: A Brain-Friendly Guide. O'Reilly Media