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Math for Game Developers by SimonDev

Math for Game Developers by SimonDev

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Author:SimonDev

Release date:2026, April 25

Publisher:SimonDev

Skill level:Beginner

Language:English

Exercise files:Yes

Course URL:https://simondev.teachable.com/p/game-math

Learn the essential math behind game development with a practical, visual, and beginner-friendly approach.

Tired of math feeling like a foreign language? This course breaks down the essential math that powers game development, ditching the dry theory for a practical and visual approach. You’ll finally understand why certain math concepts are used and how to apply them directly in your projects.

šŸŽÆ What you’ll learn

  • Grasp 2D and 3D spatial concepts and coordinate systems.
  • Master Trigonometry for rotations and angles.
  • Understand and utilize Vector Math for movement and direction.
  • Demystify Matrix Math & Quaternions for transformations.
  • Learn the power of Bitwise Operators for efficient game logic.
  • Implement advanced interpolation and easing functions for smooth animations.

āœ… Requirements

  • Skills: No prior math knowledge required beyond basic arithmetic.
  • Tools: A computer for learning.
  • Hardware: None specific, standard computer hardware is sufficient.

šŸ“ Description

This course takes a unique approach to teaching game development math, focusing on intuition and visualization rather than abstract theory. You’ll explore topics like 4D math, quaternions, and matrices through clear explanations and practical examples. The instructor, Simon, leverages his extensive background as an ex-Google Engineer and graphics programmer to present complex ideas in an accessible way. Expect to build a solid foundation in the mathematical principles that drive modern game engines.

šŸ§‘ā€šŸŽ“ Who this course is for

  • Aspiring game developers who find traditional math courses intimidating.
  • Programmers looking to solidify their understanding of game math fundamentals.
  • Anyone curious about the mathematical underpinnings of 3D graphics and game logic.
  • Students who prefer learning through visual examples and practical applications.

šŸ§‘ā€šŸ« About the Author

Simon is an ex-Google Engineer and graphics programmer with a career spanning two decades. He started in the early 2000s working on the original Xbox and PlayStation 2, specializing in 3D Graphics and optimization. His experience at Google involved performance infrastructure for Chrome. Simon brings a wealth of practical knowledge and a passion for making complex technical subjects understandable.

šŸ Final Result

  • A strong, intuitive understanding of the core mathematical concepts used in game development, enabling you to tackle programming challenges with confidence.
Curriculum

šŸ“‹ Course content

  1. Getting Started
    • Intro0:37
  2. Vector Basics
    • Introduction & Outline2:05
    • Intro to Points & The Cartesian Coordinate System6:19
    • Simple Distance2:50
    • Intro to Vectors7:12
    • Vector Addition & Subtraction11:44
    • Associativity & Commutativity3:59
    • Intro to 2D4:18
    • Vector Addition & Subtraction in 2D3:48
    • Distance in 2D7:25
  3. Vectors Continued
    • Introduction & Outline3:33
    • Normalized Vectors10:39
    • Vector Scaling12:46
    • Dot Product14:57
    • Cross Product10:12
  4. Trigonometry
    • Introduction & Outline3:42
    • Degrees and Radians7:04
    • Basic Trigonometric Functions11:33
    • Vector/Angle Conversions15:36
  5. Matrices & Quaternions
    • Introduction & Outline2:47
    • Matrices Basics3:12
    • Basic Matrix Math12:20
    • Visualizing Matrices19:13
    • Transformations & Homogeneous Coordinates15:16
    • Rotations and Gimbal Lock20:11
    • Complex Numbers8:53
    • Quaternions34:23
  6. Boolean & Logical Operators
    • Introduction & Outline3:09
    • Logical Operators6:45
    • Bitwise Operators9:14
    • Bitflags10:20
  7. Interpolation
    • Introduction & Outline3:27
    • Basic Linear Interpolation16:04
    • Shaping Functions18:46
    • Where Lerp Fails10:27
    • Colour Interpolation16:27
    • Vector Interpolation9:57
    • Log Lerp3:26
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Math for Game Developers by SimonDev

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