Calendar—Spring 2013

Week Readings Topics Assignments

15
Strang
Chapter 8

8.3: Markov Chains
test 3

8.3: 1, 3, 4, 5, 8, 11, 16, 17, 18, 19, 20

11-May

14
Strang
Chapter 8

8.2: Graphs and Networks
test 3

8.2: 2, 4, 8, 10, 12, 13, 14, 15, 18

6-May

13
Strang
Chapter 6

6.7 Singular Value Decomposition

6.7: 2, 3, 8, 12, 13, 16

29-Apr

12
Strang
Chapter 6

6.5: Positive Definite Matrices
6.6: Similar Matrices

6.5: 2, 6 11 , 15, 18, 19 26, 30, 33
6.6: 3, 5, 12, 13, 15, 20, 21, 23

22-Apr

11
Strang
Chapter 6

6.1: Introduction to Eigenvalues
6.2: Diagonalizing a Matrix
6.3: Applications to Differential Equations
6.4: Symmetric Matrices

6.1: 14, 24, 26, 27, 30. 35, 37
6.2: 14, 18, 20, 28, 31, 33, 34, 36, 38
6.3: 5, 7, 9, 11, 13, 16, 18, 19, 20, 23, 27, 28, 29, 30, 31
6.4: 6, 9, 11, 13, 16, 19, 23, 26, 27, 28, 30, 32

15-Apr

10
Strang
Chapter 5

5.2: Permutations and Cofactors
5.3: Cramer's Rule, Inverses and Volumes

all

8-Apr

9
Strang
Chapter 5

Chapter 3 and 4 Test
Take-home and solutions
In-class test and solutions

5.1: The Properties of Determinants

Work homework problems
5.1: 7, 13, 18, 24, 30, 31

1-Apr

8
Strang
Chapter 4

4.4: Orthogonal Bases and Gram-Scmidt

Work homework problems
4.4: 4, 5, 7, 10, 11, 17, 23, 24, 25, 26, 31

18-Mar

7
Strang
Chapter 4

4.1: Orthogonality of the 4 subspaces.
4.2: Projections
4.3: Least Squares Approximations
4.4: Orthogonal Bases and Gram-Scmidt

Work homework problems
4.1: 5, 7, 11, 15, 20, 26, 27, 29
4.2: 7, 13, 20, 26, 27, 29
4.3: 8, 14, 19, 23, 28, 29

11-Mar

6
Strang
Chapter 3

3.4: Complete Solution to
Ax = b.
3.5: Independence, Basis and Dimension
3.6: Dimensions of the Four Subspaces

Work homework problems
3.4: 7, 13, 19, 22, 29, 34, 35, 36
3.5: 7, 13, 30, 40, 41, 44
3.6: 8, 14, 19, 23, 28, 29

4-Mar

5
Strang
Chapter 3

Chapter 2 Test (Monday)
Test 1 and Solutions
3.1: Spaces of Vectors
3.2: The null space of A
3.3: Rank and Row-Reduced Form

Work homework problems
3.1: 6, 7, 14, 18,19, 28,29
3.2: 9, 19, 23, 25, 37
3.3: 10, 12, 15, 20, 24, 25

25-Feb

4
Strang
Chapter 2

2.6: Elimination = Facorization: A = LU
2.7: Transposes and Permutations

Work homework problems

2.6: 5, 9, 13, 17, 22
2.7: 5, 7, 9, 13, 17, 25, 29, 30, 35

18-Feb

3
Strang
Chapter 2
2.4: Rules for Matrix Operations
2.5: Inverse Matrices
2.6: Elimination = Facorization: A = LU

Work homework problems
2.4: 8, 12, 17, 21, 29, 31, 34
2.5: 10, 15, 20, 26, 30, 36, 39-41

11-Feb

2
Strang
Chapter 2
2.1: Vectors and Linear Combinations
2.2: The Idea of Elimination
2.3: Elimination Using Matrices

2.2: 9, 12, 16, 22, 26

2.3: 17, 24, 26, 29

4-Feb

1
Strang
Chapter 1
Vectors and Linear Combinations
Lengths and Dot Products
Matrices

Work homework problems
1.1: 2, 4, 6, 10, 12, 14, 18, 20, 24, 28-31
1.2: 2, 4, 6, 8 ,10, 12, 14, 16, 18, 20, 22, 24, 26, 27, 28-32
1.3: 2, 4, 6, 8, 10, 12, 13, 14

28-Jan

Week	Readings	Topics	Assignments
15	Strang Chapter 8	8.3: Markov Chains test 3	8.3: 1, 3, 4, 5, 8, 11, 16, 17, 18, 19, 20
11-May
14	Strang Chapter 8	8.2: Graphs and Networks test 3	8.2: 2, 4, 8, 10, 12, 13, 14, 15, 18
6-May
13	Strang Chapter 6	6.7 Singular Value Decomposition	6.7: 2, 3, 8, 12, 13, 16
29-Apr
12	Strang Chapter 6	6.5: Positive Definite Matrices 6.6: Similar Matrices	6.5: 2, 6 11 , 15, 18, 19 26, 30, 33 6.6: 3, 5, 12, 13, 15, 20, 21, 23
22-Apr
11	Strang Chapter 6	6.1: Introduction to Eigenvalues 6.2: Diagonalizing a Matrix 6.3: Applications to Differential Equations 6.4: Symmetric Matrices	6.1: 14, 24, 26, 27, 30. 35, 37 6.2: 14, 18, 20, 28, 31, 33, 34, 36, 38 6.3: 5, 7, 9, 11, 13, 16, 18, 19, 20, 23, 27, 28, 29, 30, 31 6.4: 6, 9, 11, 13, 16, 19, 23, 26, 27, 28, 30, 32
15-Apr
10	Strang Chapter 5	5.2: Permutations and Cofactors 5.3: Cramer's Rule, Inverses and Volumes	all
8-Apr
9	Strang Chapter 5	Chapter 3 and 4 Test Take-home and solutions In-class test and solutions 5.1: The Properties of Determinants	Work homework problems 5.1: 7, 13, 18, 24, 30, 31
1-Apr
8	Strang Chapter 4	4.4: Orthogonal Bases and Gram-Scmidt	Work homework problems 4.4: 4, 5, 7, 10, 11, 17, 23, 24, 25, 26, 31
18-Mar
7	Strang Chapter 4	4.1: Orthogonality of the 4 subspaces. 4.2: Projections 4.3: Least Squares Approximations 4.4: Orthogonal Bases and Gram-Scmidt	Work homework problems 4.1: 5, 7, 11, 15, 20, 26, 27, 29 4.2: 7, 13, 20, 26, 27, 29 4.3: 8, 14, 19, 23, 28, 29
11-Mar
6	Strang Chapter 3	3.4: Complete Solution to Ax = b. 3.5: Independence, Basis and Dimension 3.6: Dimensions of the Four Subspaces	Work homework problems 3.4: 7, 13, 19, 22, 29, 34, 35, 36 3.5: 7, 13, 30, 40, 41, 44 3.6: 8, 14, 19, 23, 28, 29
4-Mar
5	Strang Chapter 3	Chapter 2 Test (Monday) Test 1 and Solutions 3.1: Spaces of Vectors 3.2: The null space of A 3.3: Rank and Row-Reduced Form	Work homework problems 3.1: 6, 7, 14, 18,19, 28,29 3.2: 9, 19, 23, 25, 37 3.3: 10, 12, 15, 20, 24, 25
25-Feb
4	Strang Chapter 2	2.6: Elimination = Facorization: A = LU 2.7: Transposes and Permutations	Work homework problems 2.6: 5, 9, 13, 17, 22 2.7: 5, 7, 9, 13, 17, 25, 29, 30, 35
18-Feb
3	Strang Chapter 2	2.4: Rules for Matrix Operations 2.5: Inverse Matrices 2.6: Elimination = Facorization: A = LU	Work homework problems 2.4: 8, 12, 17, 21, 29, 31, 34 2.5: 10, 15, 20, 26, 30, 36, 39-41
11-Feb
2	Strang Chapter 2	2.1: Vectors and Linear Combinations 2.2: The Idea of Elimination 2.3: Elimination Using Matrices	2.2: 9, 12, 16, 22, 26 2.3: 17, 24, 26, 29
4-Feb
1	Strang Chapter 1	Vectors and Linear Combinations Lengths and Dot Products Matrices	Work homework problems 1.1: 2, 4, 6, 10, 12, 14, 18, 20, 24, 28-31 1.2: 2, 4, 6, 8 ,10, 12, 14, 16, 18, 20, 22, 24, 26, 27, 28-32 1.3: 2, 4, 6, 8, 10, 12, 13, 14
28-Jan