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Aspiring Graphics Developers

Linear Algebra for Graphics

5 weeks
0 Learners
eulerfoldeulerfold
Jul 23

“The math required to understand vectors, matrices, and transformations for WebGL and WebGPU.”

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What you'll learn

Vectors and matrices operations essential for 3D graphics
Coordinate systems, transformations, and basis vectors
Quaternions for 3D rotations
Projection matrices and camera math
Solving linear equations for physics and lighting calculations

Prerequisites

Level

W1

Module 1: Vectors and Vector Spaces

3 videos•45m
2 readings
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

Study Resources

→Free vectorization tool: Vectorize an image for free→Image to Vector Converter | Vectorize PNG, JPG... - Vectorizer.AI
W2

Module 2: Matrices and Linear Transformations

3 videos•114m
2 readings
3 topics
1 homework
Learn
W3

Module 3: Coordinate Systems and Affine Transformations

3 videos•63m
2 readings
3 topics
1 homework
Learn
W4

Module 4: 3D Rotations and Quaternions

3 videos•114m
3 readings
3 topics
1 homework
Learn
W5

Module 5: Cameras and Projections

3 videos•60m
3 readings
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

References

01Free vectorization tool: Vectorize an image for free
02Image to Vector Converter | Vectorize PNG, JPG... - Vectorizer.AI
03Linear Transformations
04Matrices - GeeksforGeeks
05Affine transformation - Wikipedia
06Affine Transformation - MATLAB & Simulink
07[Graphics] 3D Rotation via Quaternion - GitHub Pages
08How to Rotate 3D Coordinate Systems Using Quaternions: A ...
09Demystifying Quaternions for 3D Development - Wael Yasmina
10Geometry projections | Documentation | Esri Developer
11Top-Level Chart Configuration — Vega-Altair 6.2.2 documentation
128.6. Random Projection — scikit-learn 1.9.0 documentation

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