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1. Introduction to Linear Algebra
2. Geometry With Vectors
3. Center of Mass and Barycentric Coordinates
4. Area and Volume
5. Change of Coordinates and Determinants
6. Applications of 2x2 Matrices
7. More Applications of 2x2 Matrices
8. Inverting 3x3 Matrices
9. Three Dimensional Affine Geometry
10. Equations of Lines and Planes in 3D
11. Applications of 3x3 matrices
12. Generalized dilations and eigenvalues
13. Solving a system of linear equations
14. More row reduction with parameters
15. Applications of row reduction (Gaussian elimination) I
16. Applications of row reduction II
17. Rank and Nullity of a Linear Transformation
18. The geometry of a system of linear equations
19. Linear algebra with polynomials
20. Bases of polynomial spaces
21. More bases of polynomial spaces
22. Polynomials and sequence spaces
23. Stirling numbers and Pascal triangles
24. Cubic splines (Bezier curves) using linear algebra
25. Cubic splines using calculus
26. Change of basis and Taylor coefficient vectors

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