1.1: Systems of Linear Equations

Homework: 1.1:1ac,4,5,6ad,7,9,10

1.2: Row Echelon Form

Homework: 1.2: 1,2ace,5af,7,8,9,10,12,15

1.3: Matrix Algebra

Homework: 1.3: 1,4,10,12,13,15,16,17,18,26,28,29

1.3(Cont.), Introduction to MATLAB

Homework: Redo 1.1-1.3 using MATLAB

Quiz 1

Application: Computed Tomography (CAT)

Project 1

Quiz 1 Due

1.4: Elementary Matrices

Homework: 1.4: 1,2,3,6,7,8,10af,12,15,16,21,26

1.4(Cont.), 2.1: The Determinant of a Matrix

Homework: 2.1: 1,3be,4,5,6,11 (Do not use MATLAB)

Project 1 Due

2.2: Properties of Determinants, 2.3: Cramer's Rule

Homework: 2.2: 1,2,3ac,4,5,6,7,12,13 (Do not use MATLAB) 2.3: 2

Quiz 2

3.1: Introduction to Vector Spaces

Homework: 3.1: 3,4,5,10,11,12,13,15,16

Quiz 2 Due

3.2: Subspaces

Homework: 3.2: 1-20

3.2(Cont.)

Quiz 3

3.2(Cont.)

Exam 1 Review

Quiz 3 Due

Exam 1

3.3: Linear Independence

Homework: 3.3: 1,2,4-8,10-17

3.3(Cont.)

Application: Markov Processes

Project 2

Application: Random Walks on Graphs

Project 3

Project 2 Due

3.4: Basis and Dimension

Homework: 3.4: 3,4,5,7,11,12,13,14,16,17,18

Quiz 4

Project 3 Due

3.6: Row and Column Spaces

Homework: 3.6: 1,2,3,6,7,18,20

5.1, 5.4: Inner Product Spaces

Homework: 5.1: 3,13,16

Quiz 4 Due

5.4(cont.)

Homework: 5.4: 2,4a,5-10,29

Quiz 5

Exam 2 Review

Quiz 5 Due

Exam 2

5.2, 5.5: Projections and Orthogonal Spaces

Homework: 5.2: 1,2,4,6,13; 5.5: 1-4,6,8,9,29

5.3, 5.5: Least Squares

Homework: 5.3: 1-6,9,10; 5.5:27,28,30

Quiz 6

Application: Least Squares and Fourier Series

Project 4

Application: Revisiting Computed Tomography

Quiz 6 Due

No Class: Columbus Day observed

5.4: Normed Linear Spaces

Homework: 5.4: 12-16,19,21,26,27

Project 4 Due

7.4: Condition Numbers

Homework: 7.4: 1-3,7,10,13,21,22,23,25,27,29

Quiz 7

Last Day of Class

Final Exam Review

Quiz 7 Due