Tentative Lecture Schedule

Tuesday

Thursday

Aug 20 Tuesday, August 20

Systems of Linear Equations §1.1, §1.2

Aug 22 Thursday, August 22

Row Reduction and Echelon Forms §1.2

Aug 27 Tuesday, August 27

Vector Equations §1.3

Aug 29 Thursday, August 29

The Matrix Equation \(A\mathbf{x}=\mathbf{b}\) §1.4

Quiz 1

Assignment 1

Sep 3 Tuesday, September 3

Solution Sets of Linear Systems §1.5

Sep 5 Thursday, September 5

Linear Independence §1.7

Quiz 2

Assignment 2

Sep 10 Tuesday, September 10

Introduction to Linear Transformations §1.8, §1.9

Sep 12 Thursday, September 12

Midterm 1

Sep 17 Tuesday, September 17

The Matrix of a Linear Transformation §1.9

Sep 19 Thursday, September 19

Matrix Operations §2.1

Quiz 3

Assignment 3

Sep 24 Tuesday, September 24

The Inverse of a Matrix §2.2

Sep 26 Thursday, September 26

The Inverse of a Matrix §2.2, §2.3

Quiz 4

Assignment 4

Oct 1 Tuesday, October 1

Introduction to Determinants §3.1

Oct 3 Thursday, October 3

Properties of Determinants §3.2

Quiz 5

Assignment 5

Oct 8 Tuesday, October 8

Vector Spaces and Subspaces §4.1

Oct 10 Thursday, October 10

Midterm 2

Oct 15 Tuesday, October 15

Null Spaces, Column Spaces, Row Spaces, and Linear Transformations §4.2

Oct 17 Thursday, October 17

Fall Break

Oct 22 Tuesday, October 22

Linearly Independent Sets; Bases §4.3

Oct 24 Thursday, October 24

Coordinate Systems §4.4

Quiz 6

Assignment 6

Oct 29 Tuesday, October 29

The Dimension of a Vector Space §4.5

Oct 31 Thursday, October 31

Change of Basis §4.6

Quiz 7

Assignment 7

Nov 5 Tuesday, November 5

General Election

Nov 7 Thursday, November 7

Change of Basis §4.6, §5.4

Quiz 8

Assignment 8

Nov 12 Tuesday, November 12

Eigenvectors and Eigenvalues §5.1

Nov 14 Thursday, November 14

Midterm 3

Nov 19 Tuesday, November 19

The Characteristic Equation §5.2

Nov 21 Thursday, November 21

Diagonalization §5.3

Quiz 9

Assignment 9

Nov 26 Tuesday, November 26

Thanksgiving

Nov 28 Thursday, November 28

Thanksgiving

Dec 3 Tuesday, December 3

Eigenvectors and Linear Transformations §5.4

Dec 5 Thursday, December 5

Complex Eigenvalues §5.5

Dec 10 Tuesday, December 10

Dec 12 Thursday, December 12

Final Exam