COURSE OUTLINE and HOMEWORK ASSIGNMENTS - subject to minor changes :

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-15

Mon Feb 14

Exam 1 on 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-28

Wed Mar 22

Exam 2 on 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

L-39

Mon Apr 17

Exam 3 on 4.3 and Chapter 5

L-40	Wed Apr 19	6.1	Nonnegative matrices
L-41	Fri Apr 21	6.2	Generalized eigenvalue problems
L-42	Mon Apr 24	6.3	Some special matrices
L-43	Wed Apr 26	6.4	Matrix equations
L-44	Fri Apr 28		Review of all course materials

Final exam in the week of May 1-5 -- room and time to be announced.