COURSE OUTLINE and HOMEWORK ASSIGNMENTS - subject to minor changes :


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-11 Fri Sep 15   Exam 1 on 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-23 Fri Oct 13   Exam 2 on 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-38 Fri Nov 17   Exam 3 on 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

Final exam in the week of December 4-8 -- room and time to be announced.