Math 221 - Introduction to Linear Algebra

Fall 2005 - Matthias K. Gobbert

Detailed Schedule - Last Updated 11/23/05

This schedule is designed to give you an overview of the material to be covered and is tentative in nature. This page will be updated throughout the semester to reflect the actual progress in class.
To improve the clarity of the postings, I have moved the homework assignments to their own page; follow this link
The chapter and section numbers refer to the text, David C. Lay, Linear Algebra and Its Applications, third edition, Addison-Wesley, 2003.

Class	Date	Main Topic	Homework and Notes
1	We 08/31	1.1 Systems of Linear Equations
2	Fr 09/02	1.2 Row Reduction and Echelon Form
	Mo 09/05	Labor Day
3	We 09/07	1.2 Row Reduction and Echelon Form	HW 0 due: see handout
4	Fr 09/09	1.3 Vector Equations
5	Mo 09/12	1.3 Vector Equations	HW 1 due: Sec. 1.1, 1.2
6	We 09/14	1.4 The Matrix Equation A x = b
7	Fr 09/16	1.5 Solution Sets of Linear Systems
8	Mo 09/19	1.7 Linear Independence	HW 2 due: Sec. 1.3, 1.4
9	We 09/21	1.7 Linear Independence
10	Fr 09/23	1.8 Introduction to Linear Transformations
11	Mo 09/26	1.9 The Matrix of a Linear Transformation	HW 3 due: Sec. 1.5, 1.7
12	We 09/28	2.1 Matrix Operations	Last day to drop (without a "W")
13	Fr 09/30	2.1 Matrix Operations
14	Mo 10/03	2.2 The Inverse of a Matrix	HW 4 due: Sec. 1.8, 1.9, 2.1
15	We 10/05	2.3 Characterizations of Invertible Matrices
16	Fr 10/07	Test 1 (Chapter 1 and Section 2.1)
17	Mo 10/10	4.1 Vector Spaces and Subspaces	HW 5 due: Sec. 2.2, 2.3
18	We 10/12	4.2 Null and Column Spaces
19	Fr 10/14	2.7 Applications to Computer Graphics
20	Mo 10/17	4.3 Linearly Independent Sets; Bases	HW 6 due: Sec. 4.1, 4.2
21	We 10/19	4.4 Coordinate Systems
22	Fr 10/21	Examples of Vector Spaces
23	Mo 10/24	4.5 The Dimension of a Vector Space	HW 7 due: Sec. 4.3, 4.4
24	We 10/26	4.6 Rank
25	Fr 10/28	3.1 Introduction to Determinants
26	Mo 10/31	3.2 Properties of Determinants	HW 8 due: Sec. 4.5, 4.6
27	We 11/02	3.2 Properties of Determinants
28	Fr 11/04	Test 2 (Chapters 2 and 4)
29	Mo 11/07	5.1 Eigenvectors and Eigenvalues	HW 9 due: Sec. 3.1, 3.2
30	We 11/09	5.2 The Characteristic Equation	Last day to drop ("W" on transcript)
31	Fr 11/11	5.3 Diagonalization
32	Mo 11/14	5.3 Diagonalization	HW 10 due: Sec. 5.1, 5.2
33	We 11/16	5.3 Diagonalization
34	Fr 11/18	6.1 Inner Product, Length, and Orthogonality
35	Mo 11/21	6.2 Orthogonal Sets	HW 11 due: Sec. 5.3, 6.1
36	We 11/23	3.3 Cramer's Rule, Volume, Transformations
	Fr 11/25	Thanksgiving break
37	Mo 11/28	7.1 Diagonalization of Symmetric Matrices	HW 12 due: Sec. 6.2, 7.1
38	We 11/30	7.2 Quadratic Forms
39	Fr 12/02	Test 3 (Sections 3.1-3.2, 5.1-5.3, 6.1-6.2, 7.1)
40	Mo 12/05	6.3 Orthogonal Projections
41	We 12/07	6.4 The Gram-Schmidt Process
42	Fr 12/09	6.5 Least-Squares Problems	HW 13 due: Sec. 7.2, 6.3, 6.4
43	Mo 12/12	6.6 Applications to Linear Models
	Fr 12/16	01:00-03:00 Final Exam	Note the date and time!