L-1 |
Mon Aug 21 |
1.1 |
linear systems and row operations -- 1ab,5,6ad |
L-2 |
Wed Aug 23 |
1.2 |
echelon form -- 1,2a-d,3 |
L-3 |
Fri Aug 25 |
1.3 |
Gauss elimination, Gauss-Jordan -- 5a-d,6ab (p.78:2b),12,16,18,19 |
L-4 |
Mon Aug 28 |
1.3 |
matrix algebra -- 2,10,12,28,30 (p.80:6) |
L-5 |
Wed Aug 30 |
1.4 |
elementary matrices -- 1,3,5 |
L-6 |
Fri Sep 1 |
1.4 |
LU factorization -- 6,7 (Sec 7.2:1,2),8,9a-f,11 |
|
Mon Sep 4 |
|
Labor Day - no classes |
L-7 |
Wed Sep 6 |
2.1 |
determinants, definition, cofactors -- 3,4,6 |
L-8 |
Fri Sep 8 |
2.2 |
properties of determinants -- 1,3,7,10 (p.105:1a-d) |
L-9 |
Mon Sep 11 |
2.3 |
Cramer's rule -- 1ac,2abc |
L-10 |
Wed Sep 13 |
|
Review of Chapters 1 and 2 |
|
L-12 |
Mon Sep 18 |
3.1 |
vector spaces, definition and examples -- 3,4,5,6(laws A1-A3) |
L-13 |
Wed Sep 20 |
3.2 |
subspaces -- 1ab,2ab,3abc,4,5abc,8ab |
L-14 |
Fri Sep 22 |
3.2 |
span and spanning subsets -- 9ac,10abc,11,13,14 |
L-15 |
Mon Sep 25 |
3.3 |
linear independence -- 1abc,2abc,4 |
L-16 |
Wed Sep 27 |
3.3 |
continued -- 6ab,7abc,8,9,10 |
L-17 |
Fri Sep 29 |
3.4 |
basis of vector space -- 3,5,7,8,10 |
L-18 |
Mon Oct 2 |
3.4 |
dimension of vector space -- 11,12abd,14ab,16 |
L-19 |
Wed Oct 4 |
3.5 |
change of basis -- 1a,2a,3a,4 |
L-20 |
Fri Oct 6 |
3.5 |
continued -- 5,6,9 (p.161:1ab) |
L-21 |
Mon Oct 9 |
3.6 |
row and column space -- 1ab,2ab,3,4cd,8 |
L-22 |
Wed Oct 11 |
|
Review of Chapter 3 |
L-24 |
Mon Oct 16 |
4.1 |
linear transformations -- 5ac,6ab,7bc,8ac,10ac,16 |
L-25 |
Wed Oct 18 |
4.2 |
matrix representation -- 2ab,3ab,4ab,12,13,16 (p.194:1) |
L-26 |
Fri Oct 20 |
4.3 |
similarity -- 1ab,2ab,4,5abc,6 |
L-27 |
Mon Oct 23 |
5.1,5.2 |
scalar product; orthog. subspaces -- 5.1: 1ab,3ab (p.274:1); 5.2: 1ab,2,3b,4 |
L-28 |
Wed Oct 25 |
5.3 |
inner products -- 3,4ab,7,8,9 |
L-29 |
Fri Oct 27 |
5.4 |
least square problems -- 1,2,3a,4a |
L-30 |
Mon Oct 30 |
5.4 |
continued -- 5,6 (p.275:3) |
L-31 |
Wed Nov 1 |
5.5 |
orthonormal sets -- 1,2,3,7 |
L-32 |
Fri Nov 3 |
5.5 |
continued -- 18,19,24 |
L-33 |
Mon Nov 6 |
5.6 |
Gram-Schmidt orthogonalization -- 1,3,4 |
L-34 |
Wed Nov 8 |
5.6 |
QR factorization -- 1,2,11,15 |
L-35 |
Fri Nov 10 |
6.1 |
eigenvalues and eigenvectors -- 1abcfghijl (p.359:1) |
L-36 |
Mon Nov 13 |
6.2 |
linear differential equations -- 1ab,2ab,4,5a,6a |
L-37 |
Wed Nov 15 |
|
Review of Chapters 4 and 5 |
L-39 |
Mon Nov 20 |
6.3 |
diagonalization; Markov chains -- 1abde,2ab,3ab,8ab,19,20,24ab (p.362:8) |
L-40 |
Wed Nov 22 |
6.4 |
Hermitian matrices - 1a,2,4ace,5abdef |
|
Fri Nov 24 |
|
Thanksgiving - no classes |
L-41 |
Mon Nov 27 |
6.5 |
quadratic forms -- 1ab,6acef |
L-42 |
Wed Nov 29 |
6.6 |
positive definite matrices -- 1ac,4ac,5a (p.363:11) |
L-43 |
Fri Dec 1 |
|
Review of all course materials |