1: Introduction
2: Matrices and Gauss-Jordan Elimination
3: On the Solutions of Linear Systems
4: Linear Transformations
5: Visualizing Linear Transformations
6: Inverting Linear Transformations
7: Matrix Products
8: Kernel and Image
9: Subspace of R^n
10: Dimension
11: Rank-Nullity and Coordinates
12: Linear Spaces
13: Linear Transformations and Isomorphisms
14: Orthogonality and Least Squares
15: Review for Midterm
16: Finding an Orthonormal Basis
17: Orthogonal Transformations
18: Least Squares and Data Fitting
19: Data Fitting. Determinants
20: Determinants II
21: Volume and Cramer's Rule
22: Eigenvectors and Eigenvalues
23: Finding Eigenvalues and Eigenvectors
24: Finding Eigenvectors
25: Diagonalization
26: Complex Eigenvalues
27: (Missing)
28: Continuous Dynamical Systems
29: Continuous Dynamical Systems with Complex Eigenvalues
30: Nonlinear Systems
31: Midterm 2 review
32: Ordinary Differential Equations
33: Fourier Series