Free Self-Paced Course

Linear Algebra: The Mathematics of Everything

10 Weeks · 307 Sections · Mathematics — Linear Algebra

This free, self-paced course provides a structured 10-week syllabus for learning Linear Algebra. Each module builds on the previous one, guiding you from foundational concepts through advanced topics with 307 pages of in-depth reading material. All content is drawn from our comprehensive Linear Algebra textbook, organized into a clear weekly schedule that you can follow at your own pace.

Modules

307

Sections

Self-Paced

Free

Always Free

Weekly Syllabus

1 Front Matter

2 Part I — Vectors and Systems

3 Part II — Matrices as Transformations

4 Part III — The Four Fundamental Subspaces

5 Part IV — Orthogonality

6 Part V — Eigenvalues and Eigenvectors

7 Part VI — Matrix Decompositions

8 Part VII — Advanced Topics

9 Part VIII — Synthesis

10 Appendices

How to Use This Syllabus

Read at your own pace. Each module is designed for roughly one week of study, but there are no deadlines. Spend as much time as you need on each topic.
Follow in order or jump around. The modules are arranged sequentially for a structured learning path, but feel free to skip to any topic that interests you most.
No sign-up needed. Every page in this syllabus links directly to free, open-access content. Just click a topic and start reading immediately.

Ready to Start Learning?

Access the full Linear Algebra textbook with all chapters, examples, and exercises.

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