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Date

Section

Contents

Homework for next class

1

Mo 1/30

1.1

Course Introduction, Systems of Linear Equations

Exercises: Section 1.1: 2, 6, 8, 10, 14, 16, 18, 20, 26, T/F
Read: Section 1.1 & 1.2

Scan the entire course homepage

2

We 2/1

1.2

Gaussian Elimination

Exercises: Section 1.2: 2, 4, 6, 10, 18, 26, 32, T/F
Read: Section 1.3

Send an email to instructor (if you haven't already)

3

Mo 2/6

1.3

Matrices and Matrix Operations

Exercises: Section 1.3: 4(a)-(c), 5(a)&(b), 6(a)-(c), 7(a)&(f), 12, 14, 19

Read: Section 1.4

Think about Method 4: Column-Row Expansion
Remember that there is one quiz per week and that there was no quiz today.

4

We 2/8

1.4

Inverses; Algebraic Properties of Matrices

Exercises: Section 1.4: 2(c)&(d), 7, 8, 10, 20, 26, 40, T/F

Read: Section 1.5

Remember: next class on Wednesday 2/15

5

We 2/15

1.5

Elementary Matrices and a Method for Finding A^-1

Exercises: Section 1.5: 4, 8, 14, 16, 18, 24, T/F

Read: Section 1.6

Remember: next class on Wednesday 2/22

6

We 2/22

1.6

More on Linear Systems and Invertible Matrices

Exercises: Section 1.6: 2, 6, 10, 12, 16, 20, 22, T/F

Read: Section 1.7

Review: Sections 1.1-1.4

7

Mo 2/27

1.7

Diagonal, Triangular, and Symmetric Matrices

Exercises: Section 1.7: 2, 4, 6, 12, 18, 20, 24, 36

Read: Section 2.1

Review: Chapter 1 entirely

8

We 3/1

2.1

Determinants by Cofactor Expansion

Exercises: Section 2.1: 2, 4(a)&(b), 16, 20(a)&(f), 22, 32, T/F

Read: Section 2.2

9

Mo 3/6

2.2 & 2.3

Evaluating Determinants by Row Reduction, Properties of Determinants; Cramer's Rule (statement)

Exercises: Section 2.2: 6, 8, 12, 14, 16, 18, T/F AND Section 2.3: 8, 10, 18, 20, 22, 26, T/F

Read: Section 2.3

10

We 3/8

2.3

Properties of Determinants; Cramer's Rule (proofs)

Prepare for Midterm (no homework due on 3/13)

11

Mo 3/13

MIDTERM EXAM 1

12

We 3/15

3.1

Vectors in 2-Space, 3-Space, and n-Space

Exercises: Section 3.1: 2, 4, 8, 12, 16, 20, 22, T/F

Read: Section 4.1

13

Mo 3/20

4.1

Real Vector Spaces

Exercises: Section 4.1: 2, 4, 6, 8, 12, 14, 22, T/F

Read: Section 4.2

14

We 3/22

4.2

Subspaces

Exercises: Section 4.2: 2, 3, 4, 8(c), 10(a)&(b), 12, 15(a)&(b), 18, 22, T/F

Read: Section 4.3

15

Mo 3/27

4.3

Linear Independence

Exercises: Section 4.3: 2, 4, 10, 20, 25, 27, 29, 32, T/F

Read: Section 4.4

16

We 3/29

4.4

Coordinates and Bases

Exercises: Section 4.4: 2, 4, 7, 12, 14, 15, 19, 25, T/F

Read: Section 4.5 and proof of Theorem 4.4.1

17

Mo 4/3

4.5

Dimension

Exercises: Section 4.5: 2, 3, 7, 9, 10, 12, 14, 22, T/F

Hand in: Proof of Theorem 4.5.2(b).

Read: Section 4.6

18

We 4/5

4.6

Change of Basis

Exercises: Section 4.6: 1, 3, 6, 9, 12, 15, 20, T/F

Read: Section 4.7

Review: Sections 3.1, 4.1-4.6, and homework exercises for these sections

19

We 4/19

4.7

Row Space, Column Space, and Null Space

Exercises: Section 4.7: 2, 3, 7, 10, 11, 16, 18, 24, T/F

Read: Section 4.8

20

Th 4/20

4.8

Rank, Nullity, and the Fundamental Matrix Spaces

Exercises: Section 4.8: 1, 4, 8, 10, 18, 21, 24, 28, T/F

Read: Section 4.9

Send via email: a question for the review in next class

21

Mo 4/24

Review

Prepare for Midterm. No homework due on 4/26.

22

We 4/26

MIDTERM EXAM 2

23

Mo 5/1

1.8, 4.9, 5.1

Matrix Transformations, Eigenvalues and Eigenvectors

Exercises: Section 1.8: 2, 18. Section 4.9: 2, 6. Section 5.1: 2, 4, 6, 9, 20a,b, T/F

Read: Section 5.1, 5.2

Office hour Wednesday 5/3, 11-12.

24

We 5/3

5.1, 5.2

Eigenvalues and Eigenvectors (continued); Diagonalization

Exercises: Section 5.1: 14, Section 5.2: 2, 4, 6, 8, 14, 16, 18, T/F

Read: Section 8.1

25

Mo 5/8

8.1

General Linear Transformations

Exercises: Section 8.1: 2, 6, 10, 12, 14, 20, 22, 24, 30, 31, T/F

Read: Section 8.2

26

We 5/10

8.2

Compositions and Inverse Transformations

Exercises: Section 8.2: 2, 4, 6, 12, 18, 20, 30, T/F; Section 8.3: 2, 4, 6, 8, 12, 14, T/F

Read: Section 8.3 & 8.4

27

Mo 5/15

8.3 & 8.4

Isomorphism, Matrices for General Linear Transformations

Exercises: Section 8.4: 2, 4, 8, 10, 18, T/F

Review for final

28

We 5/17

8.4

Matrices for General Linear Transformations (continued); Review and Evaluation

Two Homework sets for extra credit due 5/17: See PDF

Review for final

We 5/24 at 1:00PM

FINAL EXAM

See details below.