Math 221 - Introduction to Linear Algebra

Spring 2008 - Matthias K. Gobbert

Detailed Schedule - Last Updated 12/11/07

This schedule is designed to give you an overview of the material to be covered and a detailed schedule of the tests. The due dates of the homework are marked here as guidance, but see the homework page for the official record and for the detailed list of problems due for each homework.

The chapter and section numbers refer to the text, David C. Lay, Linear Algebra and Its Applications, third edition, Addison-Wesley, 2003 (or updated printing 2006).

Class	Date	Main Topic	Notes
1	M 01/28	1.1 Systems of Linear Equations
2	W 01/30	1.2 Row Reduction and Echelon Form	HW 1 due: handout
3	M 02/04	1.3 Vector Equations
4	W 02/06	1.4 The Matrix Equation A x = b	HW 2 due: Sec. 1.1, 1.2
5	M 02/11	1.5 Solution Sets of Linear Systems
6	W 02/13	1.7 Linear Independence	HW 3 due: Sec. 1.3, 1.4
7	M 02/18	1.8 Introduction to Linear Transformations
8	W 02/20	1.9 The Matrix of a Linear Transformation	HW 4 due: Sec. 1.5, 1.7
9	M 02/25	2.1 Matrix Operations
10	W 02/27	2.2 The Inverse of a Matrix	HW 5 due: Sec. 1.8, 1.9
11	M 03/03	2.3 Characterizations of Invertible Matrices
12	W 03/05	Test 1 (Chapter 1 and Section 2.1)	HW 6 due: Sec. 2.1
13	M 03/10	2.8 Subspaces of Rⁿ
14	W 03/12	2.9 Dimension and Rank	HW 7 due: Sec. 2.2, 2.3
	M 03/17	Spring Break
	W 03/19	Spring Break
15	M 03/24	4.1 Vector Spaces and Subspaces
16	W 03/26	Examples of Vector Spaces (Chapter 4)	HW 8 due: Sec. 2.8, 2.9
17	M 03/31	3.1 Introduction to Determinants
18	W 04/02	Test 2 (Chapters 2 and 4)	HW 9 due: Sec. 4.1, 4.2, 4.3
19	M 04/07	3.2 Properties of Determinants
20	W 04/09	5.1 Eigenvectors and Eigenvalues	HW 10 due: Sec. 3.1, 3.2
21	M 04/14	5.2 The Characteristic Equation
22	W 04/16	5.3 Diagonalization	HW 11 due: Sec. 5.1, 5.2
23	M 04/21	6.1 Inner Product, Length, and Orthogonality
24	W 04/23	6.2 Orthogonal Sets	HW 12 due: Sec. 5.3, 7.1
25	M 04/28	6.3 Orthogonal Projections
26	W 04/30	6.4 The Gram-Schmidt Process	HW 13 due: Sec. 6.1, 6.2
27	M 05/05	7.1 Diagonalization of Symmetric Matrices
28	W 05/07	Test 3 (Chapters 3, 5, and 6)	HW 14 due: Sec. 6.3, 6.4
29	M 05/12	Review	HW 15 due: Sec. 7.1, e-mail
	M 05/19	03:30-05:30 Final exam (Chapters 1 through 6)	Note the date and time!