- Week 1 (3/3): Course Introduction + LaTex introduction
- Week 2 (3/10): Introduction to Linear Systems
- Week 3 (3/17): Existence and uniqueness of solution & matrix operation
- Week 4 (3/24): Matrix multiplication & LU decomposition
- Week 5 (3/31): Matrix inverse & Vector space
- Week 6:(4/7): Subspace & Nullspace
- Week 7:(4/14): Linear independence & Basis
- Week 8:(4/21):
Midterm - Week 9:(4/28): Bases of column and null spaces & linear transformation
- Week 10 (5/5): Linear map & Orthogonality
- Week 11 (5/12): Fundamental theorem of linear algebra
- Week 12 (5/19): Orthogonal basis
- Week 13 (5/26): Least squares & Normal Equation & Gram-Schmidt
- Week 14 (6/2): QR decomposition & Eigenvalue decomposition
- Week 15 (6/9): Singular value decomposition & PCA
- Week 16 (6/16):
Final exam