Week  Topics  Study Materials  Materials 
1 
Matrices, determinants


Elementary Linear Algebra , Howard Anton and Chris Rorres , Wiley Press,2011

2 
Matrices, determinants


Elementary Linear Algebra , Howard Anton and Chris Rorres , Wiley Press,2011

3 
Systems of linear equations


Elementary Linear Algebra , Howard Anton and Chris Rorres , Wiley Press,2011

4 
Systems of linear equations, Gauss elimination, LU decomposition


Elementary Linear Algebra , Howard Anton and Chris Rorres , Wiley Press,2011

5 
Midterm exam



6 
Vector spaces; subspaces, linear dependence


Elementary Linear Algebra , Howard Anton and Chris Rorres , Wiley Press,2011

7 
Vector spaces; subspaces, bases, dimension, rank and nullity, change of basis


Elementary Linear Algebra , Howard Anton and Chris Rorres , Wiley Press,2011

8 
Sum and direct sums of subspaces


Elementary Linear Algebra , Howard Anton and Chris Rorres , Wiley Press,2011

9 
Canonical forms, inner product


Elementary Linear Algebra , Howard Anton and Chris Rorres , Wiley Press,2011

10 
Midterm exam



11 
GramSchmidt orthogonalization process, QR decomposition


Elementary Linear Algebra , Howard Anton and Chris Rorres , Wiley Press,2011

12 
Eigenvalues, eigenvectors, diagonalization, similarity


Elementary Linear Algebra , Howard Anton and Chris Rorres , Wiley Press,2011

13 
Quadratic forms. Complex vector spaces, Complex eigenvalues


Elementary Linear Algebra , Howard Anton and Chris Rorres , Wiley Press,2011

14 
Unitary and Hermitian matrices, Least squares


Elementary Linear Algebra , Howard Anton and Chris Rorres , Wiley Press,2011

15 
Final 1st week



16 
Final 2nd week


