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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

SimonDev thumbnail
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.

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#1: Intro
All Course Lessons (38)
#Lesson TitleDurationAccess
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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Books

Read Book Math for Game Developers

#Title
1Section 1-1 - Cartesian Coordinates - Answers
2Section 1-1-CartesianCoordinates-Homework
3Section 1-2 - Distances - Answers
4Section 1-2-Distances-Homework
5Section 1-3 - Vectors - Answers
6Section 1-3-Vectors-Homework
7Section 1-4 - AdditionSubtraction - Answers
8Section 1-4-AdditionSubtraction-Homework
9Section 1-5 - AC - Answers
10Section 1-5-AC-Homework
11Section 1-6 - 2D - Answers
12Section 1-6-2D-Homework
13Section 1-7 - AddSub - Answers
14Section 1-7-AddSub-Homework
15Section 1-8 - 2D Distance - Answers
16Section 1-8-2DDistance-Homework
17Section 2-1-NormalizedVectors-Answers
18Section 2-1-NormalizedVectors-Homework
19Section 2-2-VectorScaling-Answers
20Section 2-2-VectorScaling-Homework
21Section 2-3-DotProduct-Answers
22Section 2-3-DotProduct-Homework
23Section 2-4-CrossProduct-Answers
24Section 2-4-CrossProduct-Homework
25Section 3-1-RadiansDegrees-Answers
26Section 3-1-RadiansDegrees-Homework
27Section 3-2-SinCosTan-Answers
28Section 3-2-SinCosTan-Homework
29Section 3-3-VectorAngle-Answers
30Section 3-3-VectorAngle-Homework
31Section 4-1-MatrixBasics-Answers
32Section 4-1-MatrixBasics-Homework
33Section 4-2-MatrixMath-Answers
34Section 4-2-MatrixMath-Homework
35Section 4-3-VisualizingMatrics-Answers
36Section 4-3-VisualizingMatrics-Homework
37Section 4-4-HomogeneousCoords-Answers
38Section 4-4-HomogeneousCoords-Homework
39Section 4-5-Rotations-Answers
40Section 4-5-Rotations-Homework
41Section 4-6-ComplexNumbers-Answers
42Section 4-6-ComplexNumbers-Homework
43Section 4-7-Quaternions-Answers
44Section 4-7-Quaternions-Homework
45Section 5-1-BooleanLogic-Answers
46Section 5-1-BooleanLogic-Homework
47Section 5-2-BitwiseOps-Answers
48Section 5-2-BitwiseOps-Homework
49Section 5-3-BitFlags-Answers
50Section 5-3-BitFlags-Homework
51Section 6-2-Lerp-Answers
52Section 6-2-Lerp-Homework
53Section 6-3-ShapingFunctions-Answers
54Section 6-3-ShapingFunctions-Homework
55Section 6-4-LerpFails-Answers
56Section 6-4-LerpFails-Homework
57Section 6-5-Colour-Answers
58Section 6-5-Colour-Homework
59Section 6-6-Vectors-Answers
60Section 6-6-Vectors-Homework
61Section 6-7-LogLerp-Answers
62Section 6-7-LogLerp-Homework