Course Schedule

week date topics materials
planned done
1 6, 8 Mar Introduction to linear algebra
- Vectors
 
2 13, 15 Mar Systems of linear equations
- Solving systems of linear equations
- Gaussian elimination
 
3 20, 22 Mar Systems of linear equations
- Gaussian elimination
- Spanning sets and linear independence
   
4 27, 29 Mar Matrices
- Matrix operations
- Inverse matrices
   
5 3, 5 Apr Matrices
- Inverse matrices
- (LU factorization)
 
6 10, 12 Apr Matrices
- Subspaces, dimensions, and rank
- Linear transformations
   
7 17, 19 Apr Midterm exam    
8 24, 26 Apr Eigenvalues and eigenvectors
- Determinants
   
9 1, 3 May Eigenvalues and eigenvectors
- Determinants
- Similarity and diagonalization
   
10 8, 10 May Eigenvalues and eigenvectors
- Similarity and diagonalization
   
11 15, 17 May Orthogonality
- QR factorization
   
12 22, 24 May Make-up week    
13 29, 31 May Distance and approximation
- Least square approximation
   
14 5, 7 Jun Distance and approximation
- Least square approximation
   
15 12, 14 Jun Advanced linear algebra    
16 19, 21 Jun Final exam