Math for Game Developers
6h 5m 14s
English
Paid
This course is designed for developers who "don't like math." You will master the math necessary for creating a game: trigonometry, vectors, matrices, quaternions, Boolean logic, and useful interpolation techniques. Everything is focused on practical application, clear explanations, and real tasks from game development.
About the Author: SimonDev
Hello! My name is Simon - I am a senior graphics engineer with over 20 years of experience. You might know me from a YouTube channel with over 214,000 subscribers (as of writing this).
I have a degree in computer science from the University of Toronto. I started my career in the early 2000s as a graphics programmer, working on the original Xbox and PlayStation 2 consoles. In the gaming industry, I specialized in 3D rendering and performance optimization, developed my own engines and shader tools, implemented visual effects, and configured pipelines. One of my projects—a custom shader graph system—was presented at the GDC conference in 2007, long before popular visual shader editors emerged.
Later, I joined the Chrome team at Google, where I spent about seven years working on performance, infrastructure, and tools for large-scale profiling and tracking regressions.
At the same time, I worked on various unusual and fascinating projects. For example, I created and maintained an MMO with millions of players and tens of thousands online simultaneously—with a server-side in C++ and a client in Adobe Shockwave. I also consulted on mobile game development for the iPhone, including rewriting the backend from PHP to Python, which reduced server costs from ~$10,000 to ~$50 per month.
Now, I create technical demos and run a YouTube channel dedicated to real-time graphics, performance, and game development. I still adore all of this—and strive to share the knowledge I've accumulated.
Watch Online 38 lessons
0:00
/ #1: Intro
All Course Lessons (38)
| # | Lesson Title | Duration | Access |
|---|---|---|---|
| 1 | Intro Demo | 00:38 | |
| 2 | Introduction & Outline | 02:06 | |
| 3 | Intro to Points & The Cartesian Coordinate System | 06:20 | |
| 4 | Simple Distance | 02:51 | |
| 5 | Intro to Vectors | 07:13 | |
| 6 | Vector Addition & Subtraction | 11:45 | |
| 7 | Associativity & Commutativity | 04:00 | |
| 8 | Intro to 2D | 04:19 | |
| 9 | Vector Addition & Subtraction in 2D | 03:49 | |
| 10 | Distance in 2D | 07:26 | |
| 11 | Introduction & Outline | 03:34 | |
| 12 | Normalized Vectors | 10:40 | |
| 13 | Vector Scaling | 12:47 | |
| 14 | Dot Product | 14:58 | |
| 15 | Cross Product | 10:13 | |
| 16 | Introduction & Outline | 03:43 | |
| 17 | Degrees and Radians | 07:05 | |
| 18 | Basic Trigonometric Functions | 11:34 | |
| 19 | Vector/Angle Conversions | 15:37 | |
| 20 | Introduction & Outline | 02:48 | |
| 21 | Matrices Basics | 03:13 | |
| 22 | Basic Matrix Math | 12:21 | |
| 23 | Visualizing Matrices | 19:14 | |
| 24 | Transformations & Homogeneous Coordinates | 15:17 | |
| 25 | Rotations and Gimbal Lock | 20:12 | |
| 26 | Complex Numbers | 08:54 | |
| 27 | Quaternions | 34:24 | |
| 28 | Introduction & Outline | 03:10 | |
| 29 | Logical Operators | 06:46 | |
| 30 | Bitwise Operators | 09:15 | |
| 31 | Bitflags | 10:21 | |
| 32 | Introduction & Outline | 03:28 | |
| 33 | Basic Linear Interpolation | 16:05 | |
| 34 | Shaping Functions | 18:47 | |
| 35 | Where Lerp Fails | 10:28 | |
| 36 | Colour Interpolation | 16:28 | |
| 37 | Vector Interpolation | 09:58 | |
| 38 | Log Lerp | 03:27 |
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Read Book Math for Game Developers
| # | Title |
|---|---|
| 1 | Section 1-1 - Cartesian Coordinates - Answers |
| 2 | Section 1-1-CartesianCoordinates-Homework |
| 3 | Section 1-2 - Distances - Answers |
| 4 | Section 1-2-Distances-Homework |
| 5 | Section 1-3 - Vectors - Answers |
| 6 | Section 1-3-Vectors-Homework |
| 7 | Section 1-4 - AdditionSubtraction - Answers |
| 8 | Section 1-4-AdditionSubtraction-Homework |
| 9 | Section 1-5 - AC - Answers |
| 10 | Section 1-5-AC-Homework |
| 11 | Section 1-6 - 2D - Answers |
| 12 | Section 1-6-2D-Homework |
| 13 | Section 1-7 - AddSub - Answers |
| 14 | Section 1-7-AddSub-Homework |
| 15 | Section 1-8 - 2D Distance - Answers |
| 16 | Section 1-8-2DDistance-Homework |
| 17 | Section 2-1-NormalizedVectors-Answers |
| 18 | Section 2-1-NormalizedVectors-Homework |
| 19 | Section 2-2-VectorScaling-Answers |
| 20 | Section 2-2-VectorScaling-Homework |
| 21 | Section 2-3-DotProduct-Answers |
| 22 | Section 2-3-DotProduct-Homework |
| 23 | Section 2-4-CrossProduct-Answers |
| 24 | Section 2-4-CrossProduct-Homework |
| 25 | Section 3-1-RadiansDegrees-Answers |
| 26 | Section 3-1-RadiansDegrees-Homework |
| 27 | Section 3-2-SinCosTan-Answers |
| 28 | Section 3-2-SinCosTan-Homework |
| 29 | Section 3-3-VectorAngle-Answers |
| 30 | Section 3-3-VectorAngle-Homework |
| 31 | Section 4-1-MatrixBasics-Answers |
| 32 | Section 4-1-MatrixBasics-Homework |
| 33 | Section 4-2-MatrixMath-Answers |
| 34 | Section 4-2-MatrixMath-Homework |
| 35 | Section 4-3-VisualizingMatrics-Answers |
| 36 | Section 4-3-VisualizingMatrics-Homework |
| 37 | Section 4-4-HomogeneousCoords-Answers |
| 38 | Section 4-4-HomogeneousCoords-Homework |
| 39 | Section 4-5-Rotations-Answers |
| 40 | Section 4-5-Rotations-Homework |
| 41 | Section 4-6-ComplexNumbers-Answers |
| 42 | Section 4-6-ComplexNumbers-Homework |
| 43 | Section 4-7-Quaternions-Answers |
| 44 | Section 4-7-Quaternions-Homework |
| 45 | Section 5-1-BooleanLogic-Answers |
| 46 | Section 5-1-BooleanLogic-Homework |
| 47 | Section 5-2-BitwiseOps-Answers |
| 48 | Section 5-2-BitwiseOps-Homework |
| 49 | Section 5-3-BitFlags-Answers |
| 50 | Section 5-3-BitFlags-Homework |
| 51 | Section 6-2-Lerp-Answers |
| 52 | Section 6-2-Lerp-Homework |
| 53 | Section 6-3-ShapingFunctions-Answers |
| 54 | Section 6-3-ShapingFunctions-Homework |
| 55 | Section 6-4-LerpFails-Answers |
| 56 | Section 6-4-LerpFails-Homework |
| 57 | Section 6-5-Colour-Answers |
| 58 | Section 6-5-Colour-Homework |
| 59 | Section 6-6-Vectors-Answers |
| 60 | Section 6-6-Vectors-Homework |
| 61 | Section 6-7-LogLerp-Answers |
| 62 | Section 6-7-LogLerp-Homework |