L-1 |
Mon Jan 10 |
1.1 |
Matrices and vectors -- 1,5,6,7,8,10,14,15 |
L-2 |
Wed Jan 12 |
1.2 |
Determinants -- 1,3,4 |
L-3 |
Fri Jan 14 |
1.3 |
Linear equations and inverses -- 2,10,11 |
|
Mon Jan 17 |
|
Martin Luther King Day - no classes |
L-4 |
Wed Jan 19 |
1.3 |
Gaussian elimination -- 1,4,5,7,13 |
L-5 |
Fri Jan 21 |
1.4 |
Eigenvalues and eigenvectors -- 2,3,4,5,8 |
L-6 |
Mon Jan 24 |
1.4 |
Symmetric matrices and Cholesky decomposition -- 9,10,12 |
L-7 |
Wed Jan 26 |
2.1 |
Linear spaces -- 5,6,7,8,10,11,12 |
L-8 |
Fri Jan 28 |
2.2 |
Linear operators -- 2,3,6,8 |
L-9 |
Mon Jan 31 |
2.3 |
Linear equations and rank -- 1,3,4 |
L-10 |
Wed Feb 2 |
2.3 |
Inverses and eigenvalues -- 6,7,11,14 |
L-11 |
Fri Feb 4 |
2.4 |
Inner product spaces -- 2,3,4,5 |
L-12 |
Mon Feb 7 |
2.4 |
Orthogonalization -- 7,10,11,17,18 |
L-13 |
Wed Feb 9 |
2.5 |
Normed linear spaces -- 2,3,5,8,11,14 |
L-14 |
Fri Feb 11 |
|
Review of Chapters 1 and 2 |
|
L-16 |
Wed Feb 16 |
3.1 |
Similarity transformations -- 1,3 |
L-17 |
Fri Feb 18 |
3.1 |
Spectral theorems -- 2,16 |
L-18 |
Mon Feb 21 |
3.1 |
Triangular form and normal matrices -- 5,6,7,10,12 |
L-19 |
Wed Feb 23 |
3.2 |
The Jordan canonical form -- 3,4,5 |
L-20 |
Fri Feb 25 |
3.2 |
Subspace decomposition -- 6,7,8,9 |
L-21 |
Mon Feb 28 |
3.2 |
Minimal polynomials -- 12,13,15 |
L-22 |
Wed Mar 1 |
3.3 |
Equivalence transformations -- 1,2,4 |
L-23 |
Fri Mar 3 |
3.3 |
Singular value decomposition -- 6,8,9 |
L-24 |
Mon Mar 13 |
4.1 |
Geometry of quadratic forms -- 1,5,6,8,9 |
L-25 |
Wed Mar 15 |
4.2 |
Optimization problems -- 3,4 |
L-26 |
Fri Mar 17 |
4.2 |
The Rayleigh quotient -- 6,7 |
L-27 |
Mon Mar 20 |
|
Review of Chapter 3 and 4.1, 4.2 |
L-29 |
Fri Mar 24 |
4.3 |
Least square problems -- 1,2,3 |
L-30 |
Mon Mar 27 |
4.3 |
Orthogonal projection -- 8,9,11 |
L-31 |
Wed Mar 29 |
5.1 |
Differential equations and matrix exponentials -- 1,2,11,15 |
L-32 |
Fri Mar 31 |
5.1 |
Representations of the solutions -- 4,9,12,18 |
L-33 |
Mon Apr 3 |
5.1 |
Higher-order Equations -- 8,13,14 |
L-34 |
Wed Apr 5 |
5.2 |
Stability -- 3,4 |
L-35 |
Fri Apr 7 |
5.3 |
Difference equations -- 3,4 |
L-36 |
Mon Apr 10 |
5.3 |
Iterative methods -- 9 |
L-37 |
Wed Apr 12 |
5.4 |
Lyapunov's theorem -- 1,3,5 |
L-38 |
Fri Apr 14 |
|
Review of 4.3 and Chapter 5 |