Math 136A, Spring 2008
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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.
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Teaching Assistant:
Sam Burden
E-mail: sburden[at]u.washington.edu
Office: C115 Padelford
Office Hours: 5:00pm Thursdays or by appointment
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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.)
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Prerequisites, enrollment status, etc.
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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.
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Course Syllabus
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Regular meetings:
- Important Dates:
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.
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- Wed, Apr 23
- Topic: Projection maps. Other Examples of linear maps
- Reading: Problems
- Homework:
- Thur, Apr 24
- 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..
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- Wed, Apr 30
- 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.
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- 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
- 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
- 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