Course Schedule

week date topics materials
planned done
1 4, 6 Mar Introduction to linear algebra
- Vectors
 
2 11, 13 Mar Systems of linear equations
- Solving systems of linear equations
- Gaussian elimination
 
3 18, 20 Mar Systems of linear equations
- Gaussian elimination
- Spanning sets and linear independence
   
4 25, 27 Mar Matrices
- Matrix operations
- Inverse matrices
   
5 1, 3 Apr Matrices
- Inverse matrices
- (LU factorization)
 
6 8, 10 Apr Matrices
- Subspaces, dimensions, and rank
- Linear transformations
   
7 15, 17 Apr Midterm exam    
8 22, 24 Apr Eigenvalues and eigenvectors
- Determinants
   
9 29, 1 May Eigenvalues and eigenvectors
- Determinants
- Similarity and diagonalization
   
10 6, 8 May Eigenvalues and eigenvectors
- Similarity and diagonalization
   
11 13, 15 May Orthogonality
- QR factorization
   
12 20, 22 May Make-up week    
13 27, 29 May Distance and approximation
- Least square approximation
   
14 3, 5 Jun Distance and approximation
- Least square approximation
   
15 10, 12 Jun Advanced linear algebra    
16 17, 19 Jun Final exam