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Aspiring Graphics Developers

Linear Algebra for Graphics

5 weeks
0 Learners
eulerfoldeulerfold
Jul 23

“This intensive curriculum provides a comprehensive deep dive into Linear Algebra for Graphics. You will master the foundational mechanics, underlying system architecture, and core paradigms required to excel in modern engineering environments. By the end of this journey, you will possess the practical intuition and technical rigor to design and implement highly scalable solutions.”

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About this Course

The math required to understand vectors, matrices, and transformations for WebGL and WebGPU. This Aspiring Graphics Developers curriculum is designed to give you hands-on experience and deep conceptual understanding. Across 5 intensive modules, you'll tackle real-world challenges and build practical projects that reinforce your learning. By the end of this journey, you'll have the skills and proof of work to demonstrate your expertise.

What you'll learn

Master the underlying architecture and practical applications of Module 1: Vectors and Vector Spaces.
Master the underlying architecture and practical applications of Module 2: Matrices and Linear Transformations.
Master the underlying architecture and practical applications of Module 3: Coordinate Systems and Affine Transformations.
Master the underlying architecture and practical applications of Module 4: 3D Rotations and Quaternions.

Prerequisites

intermediate Level

Requires basic familiarity with the tech stack.

  • Familiarity with core concepts

Ideal for

Aspiring Graphics Developers

Aspiring Graphics Developers Professionals
Tech Enthusiasts
W1

Module 1: Vectors and Vector Spaces

Develop an intuitive mental model for Vectors and Vector Spaces by comprehensively studying introduction to vectors (magnitude, direction, addition), the dot product and projections, and the cross product in 3d space.

3 topics
1 homework
Learn

Topics

1.1
Introduction to Vectors (Magnitude, Direction, Addition)
11 minutes
1.2
The Dot Product and Projections
13 minutes
1.3
The Cross Product in 3D Space
21 minutes
W2

Module 2: Matrices and Linear Transformations

Develop an intuitive mental model for Matrices and Linear Transformations by comprehensively studying matrix basics and multiplication, linear transformations and matrices, and determinants and inverse matrices.

3 topics
1 homework
Learn
W3

Module 3: Coordinate Systems and Affine Transformations

Gain a deep understanding of Coordinate Systems and Affine Transformations by comprehensively studying translation, scaling, and rotation matrices, homogeneous coordinates, and change of basis and local vs. global space.

3 topics
1 homework
Learn
W4

Module 4: 3D Rotations and Quaternions

Explore the mechanics of 3D Rotations and Quaternions by comprehensively studying euler angles and gimbal lock, introduction to complex numbers and quaternions, and interpolating rotations (slerp).

3 topics
1 homework
Learn
W5

Module 5: Cameras and Projections

Construct reliable, production-ready workflows for Cameras and Projections by comprehensively studying the view matrix (lookat), orthographic and perspective projection matrices, and frustum culling and depth (z-buffer) math.

3 topics
1 homework
Learn
01

Learn

Watch curated videos and read study resources

02

Practice

Practice what you learned

03

Build Projects

Build projects using your new gained knowledge

04

Submit & Verify

Submit your project and get verified by our system

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