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Math for Game Developers

6h 5m 14s
English
Paid

Welcome to a course designed specifically for developers who might feel intimidated by math. Dive into the mathematical concepts crucial for game development, including trigonometry, vectors, matrices, quaternions, Boolean logic, and interpolation techniques. This course emphasizes practical application, offering clear explanations and real-world scenarios from game development.

Core Mathematical Concepts

Trigonometry

Understand the role of trigonometry in creating realistic movements and rotations in your games. Learn to apply sine, cosine, and tangent functions effectively.

Vectors

Dive into the world of vectors, essential for representing direction and magnitude in game physics. You'll explore vector addition, subtraction, and scalar multiplication.

Matrices

Discover how matrices are used to perform linear transformations and manage complex game graphics. Grasp matrix operations and their applications in game development.

Quaternions

Learn about quaternions and their advantages over Euler angles in avoiding gimbal lock when rotating objects. Apply quaternions for smooth, continuous rotations.

Boolean Logic and Interpolation Techniques

Boolean Logic

Master the basics of Boolean logic to create complex decision-making processes in your game algorithms.

Interpolation Techniques

Explore various interpolation techniques that allow for smooth transitions and animations, making your game world more engaging and dynamic.

Practical Application and Real Tasks

Throughout the course, you'll work on real tasks from game development, ensuring you can apply math concepts in practical scenarios. Each section is designed to enhance your problem-solving skills, strengthening your ability to create immersive games.

About the Author: SimonDev

SimonDev thumbnail

SimonDev (Simon Schreibt is a different person) is the YouTube channel and paid-course brand of an independent game and graphics developer — focused on the math, shaders, and Three.js / WebGL work that anchors modern interactive 3D in the browser. The channel has built a reputation for unusually deep treatments of computer-graphics fundamentals.

His CourseFlix listing carries three SimonDev courses: Three.js & GameDev, GLSL Shaders from Scratch, and Math for Game Developers. The teaching style is rigorous about the underlying math (linear algebra, trigonometry, calculus applied to graphics) that most graphics tutorials skip.

Material is paid and aimed at developers ready to study computer graphics from the foundations rather than copy shader recipes. For broader content, see CourseFlix's Three.js, Game Development, and Compilers & Interpreters category pages.

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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

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

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Frequently asked questions

What prerequisites are needed for this course?
This course does not require advanced mathematical knowledge, but a basic understanding of algebra and geometry is helpful. It is designed for developers who might feel intimidated by math but want to learn essential concepts for game development, such as trigonometry, vectors, and matrices.
What projects will I work on during the course?
Throughout the course, you will engage in practical application of mathematical concepts to real-world game development scenarios. Projects will include using trigonometry for realistic movements, applying vectors for game physics, and employing matrices for linear transformations.
Who is the target audience for this course?
The course is tailored for game developers who need to strengthen their mathematical foundation to enhance their game development skills. It's especially suitable for those who are apprehensive about math but are eager to learn the essential concepts required in the gaming industry.
How does the depth of this course compare to other math courses for developers?
This course focuses on practical application rather than theoretical depth. It aims to provide clear explanations of core concepts like vectors, matrices, and quaternions, specifically in the context of game development, making it more focused and applicable than more general math courses.
What is not covered in this course?
The course does not delve into advanced mathematical topics beyond the core concepts needed for game development. Topics like calculus, differential equations, and advanced statistics are not covered in this curriculum.
What is the expected time commitment for this course?
With a total of 38 lessons, the course is designed to be manageable for busy developers. Though the exact runtime is not specified, students should expect to dedicate several hours a week to fully grasp the concepts and complete the practical exercises.
How will the skills learned in this course benefit my career?
The mathematical skills acquired in this course are crucial for game development and can enhance problem-solving and algorithmic thinking. Understanding vectors, matrices, and interpolation techniques is valuable not only in game development but also in other fields like computer graphics and simulations.