These notes were written for students who have finished college algebra and are heading toward calculus, linear algebra, or a first course in data science. Every chapter is one web page with interactive figures; nothing needs to be installed.
How to read them. Chapter 0 is reference material — skim it now and come back when the algebra bites. After that the chapters are meant to be read in order, since each one leans on the last.
| Chapter | Lectures | ||
|---|---|---|---|
| 0 | What You Should Know | reference | algebra refresher |
| 1 | Functions | 1–5 | how information travels |
| 2 | Flat and Curved Functions | 6–11 | rates, roots, areas, approximation |
| 3 | Growth | 12–14 | exponentials and logarithms |
| 4 | Trigonometry of Circles | 15–18 | waves, seasonality, Fourier |
| 5 | Geometry of Triangles | 19–21 | measuring the unreachable |
| 6 | Trigonometric Identities | 22–23 | the symmetry of the circle |
| 7 | Vectors and Matrices | 24–26 | the bridge to linear algebra |
License: CC BY-NC-SA 4.0
Acknowledgments: These notes were developed using Anthropic’s Claude, Opus 5.5 model.