Course Schedule
week date topics materials
1 3,7 Mar Introduction to linear algebra - Vectors  
2 10,14 Mar Systems of linear equations
- Solving systems of linear equations
- Gaussian elimination
 
3 17,21 Mar Systems of linear equations
- Gaussian elimination
- Spanning sets and linear independence
 
4 24,28 Mar Matrices
- Matrix operations
- Inverse matrices
 
5 31 Mar, 4 Apr Matrices
- Inverse matrices
- (LU factorization)
 
6 7,11 Apr Matrices
- Subspaces, dimensions, and rank
- Linear transformations
 
7 14,18 Apr Midterm exam  
8 21,25 Apr Eigenvalues and eigenvectors
- Determinants
 
9 28 Apr,2 May Eigenvalues and eigenvectors
- Determinants
- Similarity and diagonalization
 
10 5,9 May Eigenvalues and eigenvectors
- Similarity and diagonalization
 
11 12,16 May Orthogonality
- QR factorization
 
12 19,23 May Make-up week  
13 26,30 May Distance and approximation
- Least square approximation
 
14 2,6 Jun Distance and approximation
- Least square approximation
 
15 9,13 Jun Advanced linear algebra  
16 16,20 Jun Final exam