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.