Math 0280 Schedule

Math 0280: Intro to Matrices & Linear Algebra

Below is the schedule of textbook sections accompanied by sets of highly recommended practice problems from Linear Algebra: A Modern Introduction, 5th edition by David Poole. Exam dates are indicated on the schedule, including the departmental final exam date and time.

Date	Topic	Practice Problems (5th Ed.)
Monday, Aug. 24	Introduction / Geometry & Algebra of Vectors	1.1:#1–28
Wednesday, Aug. 26	Geometry & Algebra of Vectors (cont.)	1.1:#1–28
Friday, Aug. 28	Length, Angle, Dot Product, & Projections	1.2:#1–52
Monday, Aug. 31	Dot Product (cont.) / Lines & Planes	1.2:#61–67; 1.3:#1–15
Wednesday, Sept. 2	Lines & Planes (cont.)	1.3:#18–30, 35–38
Friday, Sept. 4	Systems of Linear Equations	2.1:#1–38
Monday, Sept. 7	NO CLASS	Labor Day
Wednesday, Sept. 9	Direct Methods for Solving Systems	2.2:#1–18
Friday, Sept. 11	Direct Methods (cont.)	2.2:#23–46
Monday, Sept. 14	Spanning Sets & Linear Independence	2.3:#1–42
Wednesday, Sept. 16	Spanning Sets & Linear Independence (cont.)	2.3:#1–42
Friday, Sept. 18	Spanning Sets & Linear Independence (cont.)	2.3:#1–42
Monday, Sept. 21	Chapters 1 and 2 Review / Applications	—
Wednesday, Sept. 23	Matrix Operations	3.1:#1–22, 31–36
Friday, Sept. 25	Matrix Algebra	3.2:#1–28
Monday, Sept. 28	Inverse of a Matrix / Elementary Matrices / Fund. Theorem	3.3:#1–23
Wednesday, Sept. 30	Inverse of a Matrix / Fund. Theorem (cont.)	3.3:#24–40
Friday, Oct. 2	Inverse of a Matrix / Fund. Theorem (cont.)	3.3:#48–59
Monday, Oct. 5	Review	—
Wednesday, Oct. 7	MIDTERM EXAM 1	Chapters 1–3.3
Friday, Oct. 9	NO CLASS	Fall Break
Monday, Oct. 12	Subspaces, Basis, Dimension, Rank	3.5:#1–48, 51, 52
Wednesday, Oct. 14	Subspaces, Basis, Dimension, Rank (cont.)	3.5:#1–48, 51, 52
Friday, Oct. 16	Subspaces, Basis, Dimension, Rank (cont.)	3.5:#1–48, 51, 52
Monday, Oct. 19	Introduction to Linear Transformations	3.6:#1–25, 29–45
Wednesday, Oct. 21	Introduction to Linear Transformations (cont.)	3.6:#1–25, 29–45
Friday, Oct. 23	Intro to Eigenvalues & Eigenvectors	4.1:#1–18
Monday, Oct. 26	Determinants / Laplace Expansion	4.2:#1–52
Wednesday, Oct. 28	Determinants / Cramer's Rule / Adjoint	4.2:#57–65
Friday, Oct. 30	Eigenvalues & Eigenvectors of nxn Matrices	4.3:#1–18
Monday, Nov. 2	Eigenvalues & Eigenvectors of nxn Matrices (cont.)	4.3:#1–18
Wednesday, Nov. 4	Review	—
Friday, Nov. 6	MIDTERM EXAM 2	Through Chapter 4.3
Monday, Nov. 9	Similarity & Diagonalization	4.4:#1–41
Wednesday, Nov. 11	Similarity & Diagonalization (cont.)	4.4:#1–41
Friday, Nov. 13	Orthogonality & Orthogonal Matrices	5.1:#1–23
Monday, Nov. 16	Orthogonal Complements & Projections	5.2:#1–22
Wednesday, Nov. 18	Orthogonal Complements & Projections (cont.)	5.2:#1–22
Friday, Nov. 20	Gram-Schmidt Process	5.3:#1–14
Nov. 23 – Nov. 27	NO CLASS	Thanksgiving Break
Monday, Nov. 30	Orthogonal Diagonalization	5.4:#1–12
Wednesday, Dec. 2	Least Squares	7.3:#1–26
Friday, Dec. 4	Final Review	—
DEPARTMENTAL FINAL EXAM	Date, Time, and Location	TBD

Date

Topic

Practice Problems (5th Ed.)

Monday, Aug. 24

Introduction / Geometry & Algebra of Vectors

1.1:#1–28

Wednesday, Aug. 26

Geometry & Algebra of Vectors (cont.)

1.1:#1–28

Friday, Aug. 28

Length, Angle, Dot Product, & Projections

1.2:#1–52

Monday, Aug. 31

Dot Product (cont.) / Lines & Planes

1.2:#61–67; 1.3:#1–15

Wednesday, Sept. 2

Lines & Planes (cont.)

1.3:#18–30, 35–38

Friday, Sept. 4

Systems of Linear Equations

2.1:#1–38

Monday, Sept. 7

NO CLASS

Labor Day

Wednesday, Sept. 9

Direct Methods for Solving Systems

2.2:#1–18

Friday, Sept. 11

Direct Methods (cont.)

2.2:#23–46

Monday, Sept. 14

Spanning Sets & Linear Independence

2.3:#1–42

Wednesday, Sept. 16

Spanning Sets & Linear Independence (cont.)

2.3:#1–42

Friday, Sept. 18

Spanning Sets & Linear Independence (cont.)

2.3:#1–42

Monday, Sept. 21

Chapters 1 and 2 Review / Applications

—

Wednesday, Sept. 23

Matrix Operations

3.1:#1–22, 31–36

Friday, Sept. 25

Matrix Algebra

3.2:#1–28

Monday, Sept. 28

Inverse of a Matrix / Elementary Matrices / Fund. Theorem

3.3:#1–23

Wednesday, Sept. 30

Inverse of a Matrix / Fund. Theorem (cont.)

3.3:#24–40

Friday, Oct. 2

Inverse of a Matrix / Fund. Theorem (cont.)

3.3:#48–59

Monday, Oct. 5

Review

—

Wednesday, Oct. 7

MIDTERM EXAM 1

Chapters 1–3.3

Friday, Oct. 9

NO CLASS

Fall Break

Monday, Oct. 12

Subspaces, Basis, Dimension, Rank

3.5:#1–48, 51, 52

Wednesday, Oct. 14

Subspaces, Basis, Dimension, Rank (cont.)

3.5:#1–48, 51, 52

Friday, Oct. 16

Subspaces, Basis, Dimension, Rank (cont.)

3.5:#1–48, 51, 52

Monday, Oct. 19

Introduction to Linear Transformations

3.6:#1–25, 29–45

Wednesday, Oct. 21

Introduction to Linear Transformations (cont.)

3.6:#1–25, 29–45

Friday, Oct. 23

Intro to Eigenvalues & Eigenvectors

4.1:#1–18

Monday, Oct. 26

Determinants / Laplace Expansion

4.2:#1–52

Wednesday, Oct. 28

Determinants / Cramer's Rule / Adjoint

4.2:#57–65

Friday, Oct. 30

Eigenvalues & Eigenvectors of nxn Matrices

4.3:#1–18

Monday, Nov. 2

Eigenvalues & Eigenvectors of nxn Matrices (cont.)

4.3:#1–18

Wednesday, Nov. 4

Review

—

Friday, Nov. 6

MIDTERM EXAM 2

Through Chapter 4.3

Monday, Nov. 9

Similarity & Diagonalization

4.4:#1–41

Wednesday, Nov. 11

Similarity & Diagonalization (cont.)

4.4:#1–41

Friday, Nov. 13

Orthogonality & Orthogonal Matrices

5.1:#1–23

Monday, Nov. 16

Orthogonal Complements & Projections

5.2:#1–22

Wednesday, Nov. 18

Orthogonal Complements & Projections (cont.)

5.2:#1–22

Friday, Nov. 20

Gram-Schmidt Process

5.3:#1–14

Nov. 23 – Nov. 27

NO CLASS

Thanksgiving Break

Monday, Nov. 30

Orthogonal Diagonalization

5.4:#1–12

Wednesday, Dec. 2

Least Squares

7.3:#1–26

Friday, Dec. 4

Final Review

—

DEPARTMENTAL FINAL EXAM

Date, Time, and Location

TBD