mshah.ioCourse ScheduleCourse Information
Administrivia | Games and Game EnginesGame Genres, Game Applications, and Game LoopsD Language Review and Q&AIntroducing SDL: Dub Setup and SDL BasicsSDL Basics 1: 2D Graphics Basics and FramerateGame Object and Component PatternSprite Animation, Bitmap Fonts, and State MachinesEngine Support Systems 1 - Resource Managers and File SystemsEngine Support Systems 2 - Gameplay Systems & ScriptingGame AudioGame Math 1 - VectorsGame Math 2 - MatricesGame Structure 1 - Scene Tree, Scene Structure, SerializationGame Scene Structure 2 - CameraPutting it all togetherExam -- no classNo ClassNo ClassNo ClassNo ClassTiles and BitsFinal Project Group Activity with Engine StudyPhysics EnginesDevices, GUI, and Command Pattern2D Rendering TechniquesGameplay SystemsSystems programming - Parallelism/ConcurrencyWork day/Flex day and brief intro to SIMDwork day / mini-topic (e.g. profiling code or Fibers) or Reserved for Tentative Industry Guest SpeakersCourse Wrap up and work day


Module 12 - Game Math 2 - Matrices - 2025-Feb-18

Overview

In this module we review several foundations of math in game programming

  • Matrix Mathematics
  • Decomposing a Matrix

Slides and Class Content

Please note: Your in-class activity is graded. Your first attempt will be graded. You can use your notes and slides if you like. You have 1 week from the date of this module opening to complete the in-class activity. In-class activities are completed individually.

Audio/Video Recording

Note: Audio/Video recordings are made in a best effort in case you have to miss class or you would otherwise like to re-watch a portion of lecture. Occassional recording errors (e.g. missing sound, corrupted video, etc.) may occur, and I apologize in advance if a recording is not able to be made available.

Readings

    Please use the following resources to supplement this lecture. You may choose to read 1 or more of these before/during/after the lecture to fully immerse into the material.

  1. Essence of Linear Algebra
    • Makes linear algebra understandable! 3Blue1Brown Video Series
  2. Converting rotation matrices to angles
    • Nice article for one of todays exercises
  3. Math for Game Developers: Why do we use 4x4 Matrices in 3D Graphics?
    • Nice Video on math (3D perspective)
  4. Understanding Transformations in Computer Vision:
    • Nice medium article with some visualizations
Please do not redistribute or host any materials without e-mailing me first. Thank you for your time!