Math 136A, Spring 2008

Instructor: Tom Duchamp
E-mail: duchamp[at]math.washington.edu
Office: C505 Padelford
Phone: 543-1724
Office Hours: 3:30pm-5:00pm Mondays, 1:30pm-3:30pm Tuesdays; every day right after class; or by appointment.
Teaching Assistant: Sam Burden
E-mail: sburden[at]u.washington.edu
Office: C115 Padelford
Office Hours: 5:00pm Thursdays or by appointment
Class discussion e-mail list: math136a_sp08[at]u.washington.edu
(Note: You must use your UW e-mail account to send to this list. Also, the list gets updated every day,
dropping everyone who is not officially enrolled in the class.)
Prerequisites, enrollment status, etc.
Texts:
- Introduction to Linear Algebra, 2nd ed., bu Serge Lang.
  Note: This is not the text for Math 308.
- Calculus: One and Several Variables (10th ed)by Salas-Hille-Etgen.
Course Syllabus
Regular meetings:
- Lectures: 10:30-11:20 p.m., MTuWTh, Room 080 Anderson Hall
- Quiz: 10:30-11:20 p.m., Fri, Room 080 Anderson Hall.
Important Dates:
- Midterm I: Monday, April 28
- Choose Linear Algebra Project: Friday, May 16
- Preliminary report on Linear Algebra Project: Wednesday, May 21
- Midterm II: Friday, May 23
- Linear Algebra Project due: Monday, June 2
- Final Exam: Monday, June 9, 8:30-10:20 a.m.

Daily Schedule
Homework is due at the beginning of class on Fridays.

Week 1: Matrices and Gauss Elimination (Chapter II of Lang)

Homework #1

Mon, Mar 31

Topic: Matrices: addition and multiplication
Reading: pp 42--58
Homework: p 46: #1,5,8,10; p 58: #3,4,5,9,13,16,17,19, 33, 34, 35,36,37.

Tues, Apr 1

Topic: Linear Equations & Gauss elimination
Reading: pp 64--76
Homework: p 69: #2,3, 5(d), 6(f); p76: #1(a), #2(b), 4.

Wed, Apr 2

Topic: Row operations
Reading: pp 77--84
Homework: p 85: #1, 2, 3.

Thur, Apr 3

Topic: Linear combinations
Reading: pp 85--87.
Homework: p 87: #1.

Week 2: Vector Spaces (Chapter III of Lang)

Homework #2

Mon, Apr 7

Topic: Definitions and linear combinations
Reading: pp 88--99
Homework: p 93: #12,3,4,5, p99: #1,2,3

Tues, Apr 8

Topic: Linear Independence
Reading: pp 104--109
Homework: p 109: #1(a,h), 2(b,d), 3(c), 4, 9, 11, 15, 16.

Wed, Apr 9

Topic: Dimension
Reading: pp 110--115
Homework: p 115: #1,2,3.

Thur, Apr 10

Topic: Rank of a matrix
Reading: pp 115--121.
Homework: p 121: #1,2,3.

Week 3: Linear Mappings (Chapter IV of Lang)

Homework #3

Mon, Apr 14

Topic: Definitions
Reading: pp 123--134
Homework: p 126: #3, 4,5, 8, 11; p 134: #1, 3, 4, 12, 17, 18, 19.

Tues, Apr 15

Topic: Kernel and Image
Reading: pp 136--141
Homework: p 141 #1, 4, 6, 7, 8, 11, 13.

Wed, Apr 16

Topic: Rank
Reading: pp 144--149
Homework: p 149 #1, 3, 4, 6, 7, 8

Thur, Apr 17

Topic: The Matrix of a Linear Map
Reading: pp 150--156
Homework: p 156: #1, 3, 4, 6, 7, 8.

Week 4: Composition and Inverses (Chapter V of Lang)

Homework #4

Mon, Apr 21

Topic: Definitions
Reading: pp 158--162
Homework: p 162: #1, 2, 3, 8, 9.

Tues, Apr 22

Topic: Inverses
Reading: pp 164--168
Homework: p 169: # 1, 3, 4, 5, 6, 10, 13.

Wed, Apr 23

Topic: Projection maps. Other Examples of linear maps
Reading: Problems
Homework:

Thur, Apr 24

Topic: Problem session

Week 5: Scalar Products and Orthogonality (Chapter VI of Lang)

Mon, Apr 28: Midterm I
Tues, Apr 29

Topic: Scalar Products
Reading: pp 171--178
Homework: pp 178--180: # 1--13..

Wed, Apr 30

Homework #5 (Now available)

Topic: Orthogonal Beses.
Reading: pp. 180--189.
Homework: pp 189--190: #1--10.

Thur, May 1

Topic: Bilinear Maps and Matrics
Reading: pp. 190--194.
Homework: pp 194: #1--3.

Week 6: Determinants (Chapter VII of Lang)

Homework #6 (Now available)

Mon, May 5

Topic: Determinants of 2x2 and 3x3 matrices
Reading: pp 195--202
Homework: pp 207--210: #1, 4, 5(a), 6(a-f), 7, 8, 9, 10, 11.

Tues, May 6

Topic: Determiants in general
Reading: pp 202--214
Homework: pp 208--210: #2, 3, 5(b), 6(g-i), 12, 13, 14; p 214: #9.

Wed, May 7

Topic: Cramer's Rule, Inverse of a Matrix
Reading: pp. 214--221.
Homework: p 217: #1; p 221 #1, 2.

Thur, May 8

Topic: Eigenvectors: Definitions, Examples
Reading: pp 233--237
Homework: pp 237--238: #1--7.

Week 7: Eigenvectors and Eigenvalues (Chapter VIII of Lang)

Homework #7 (Now available)

Mon, May 12

Topic: The Characteristic Polynomial and Examples
Reading: pp 238--248
Homework: pp 249--250: #1--8, 10, 12, 13.

Tues, May 13

Topic: Eigenvalues and Eigenvectors of Symmetric Matrices, Diagonalization of a Symmetric Linear Map, Examples
Reading: pp 250--260,
Homework: p 250: # 9, 11, 14, 15; p 255: #1, 2; pp 259--260: #1, 2, 7.

Wed, May 14

Topic: Complex Eigenvalues, Examples

Thurs, May 15

Topic: Quiz Section

Fri, May 16

Topic: Begin Functions of Several Variables (Chap 15 of Salas-Hille-Etgen)
Reading: pp TBA
Homework: pp TBA

Week 8: Functions of Several Variables (Chapter 15 of Salas-Hille-Etgen)

Homework #8 (Later)

Mon, May 19

Topic: TBA
Reading: pp TBA
Homework: pp TBA

Tues, May 20

Topic: TBA
Reading: pp TBA
Homework: pp TBA

Wed, May 21

Topic: TBA
Reading: pp TBA
Homework: pp TBA

Thur, May 22

Topic: Midterm Review

Fri, May 23: Midterm II

Week 9: Differentiability (Chapter 16 of Salas-Hille-Etgen)

Homework #9 (Later)

Tues, May 27

Topic: TBA
Reading: pp TBA
Homework: pp TBA

Wed, May 28

Topic: TBA
Reading: pp TBA
Homework: pp TBA

Thurs, May 29

Topic: TBA
Reading: pp TBA
Homework: pp TBA

Week 10: Integration (Chapter 17 of Salas-Hille-Etgen)

Homework #10 (Later)

Mon, Jun 2

Topic: TBA
Reading: pp TBA
Homework: pp TBA

Tues, Jun 3

Topic: TBA
Reading: pp TBA
Homework: pp TBA

Wed, Jun 4

Topic: TBA
Reading: pp TBA
Homework: pp TBA

Thurs, Jun 5

Topic: TBA
Reading: pp TBA
Homework: pp TBA

Last modified: Thu May 8 16:18:51 2008