| Week | Lecture Day | Section | Topic | Suggested Exercise Problems | Homework
|
| 0 | September 27 | 1.2 | Vector Spaces
| Section 1.2: 1, 3, 4, 7, 10, 11, 12, 13, 14, 15, 17, 19
| Set #1: posted at CCLE
due Oct. 3 (Thurs.)
|
| 1 | September 30
October 2
October 4
| 1.3-1.4
1.5
1.6 | Subspaces; Linear Combinations and Span
Linear Dependence and Linear Independence
Bases and Dimensions
| Section 1.3: 1, 2, 4, 8, 11, 12, 15, 20, 24
Section 1.4: 1, 2, 3, 4, 5, 10, 11, 15, 16
Section 1.5: 1, 2, 7, 11, 12
Section 1.6: 1, 2, 3, 4, 5, 6, 7, 9, 10, 13, 15, 17, 26, 30, 31
| Set #2: posted at CCLE
due Oct. 10 (Thurs.)
|
| 2 | October 7
October 9
October 11 | 1.6
2.1
2.1
| Bases and Dimensions
Linear Transformations, Nullspaces, and Ranges
Linear Transformations, Nullspaces, and Ranges
| Section 1.6: 1, 2, 3, 4, 5, 6, 7, 9, 10, 13, 15, 17, 26, 30, 31
Section 2.1: 1, 2, 3, 4, 5, 6, 7, 9, 10, 12, 13, 24, 31
| Practice midterm at CCLE
|
| 3 | October 14
October 16
October 18
| -
-
2.2
| Review
First Midterm
The Matrix Representation of a Linear Transformation
| Section 2.2: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 16
| Set #3: posted at CCLE
due Oct. 24 (Thurs.)
|
| 4 | October 21
October 23
October 25
| 2.3
2.3
2.4 | Composition of Linear Transformations and Matrix Multiplication
Composition of Linear Transformations and Matrix Multiplication
Invertibility and Isomorphisms
| Section 2.2: 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 16
Section 2.3: 1, 2, 3, 4, 5, 6, 7, 8, 9, 12, 15
Section 2.4: 1, 2, 3, 4, 8, 10, 12, 15
| Set #4: posted at CCLE
due Oct. 31 (Thurs.)
|
| 5 | October 28
October 30
November 1
| 2.4
2.5
4.4
| Invertibility and Isomorphisms
The Change of Coordinate Matrix
Determinants
| Section 2.4: 1, 2, 3, 4, 8, 10, 12, 15
Section 2.5: 1, 2, 3, 4, 5, 9
Section 4.4: 1, 2, 3, 4
| Set #5: posted at CCLE
due Nov. 7 (Thurs.)
|
| 6 | November 4
November 6
November 8
| 5.1
5.1
-
| Eigenvalues and Eigenvectors
Eigenvalues and Eigenvectors
Review
| Section 5.1: 1, 2, 3, 4, 5, 6, 7, 26
| Practice midterm at CCLE
|
| 7 | November 11
November 13
November 15
| -
-
5.2
| Veterans Day holiday
Second Midterm
Diagonalizability
| Section 5.2: 1, 2, 3, 4, 5, 7
| Set #6: posted at CCLE
due Nov. 21 (Thurs.)
|
| 8
| November 18
November 20
November 22
| 5.2
6.1
6.1
| Diagonalizability
Inner Products and Norms
Inner Products and Norms
| Section 6.1: 1, 2, 3, 4, 6, 7, 12, 16, 24
| -
|
| 9
| November 25
November 27
November 29
| 6.2
6.2
-
| Gramm-Schmidt and Orthogonal Complement
Gramm-Schmidt and Orthogonal Complement
Thanksgiving holyday
| Section 6.2: 1, 2, 4, 6, 7, 11, 12, 19
| Set #7: posted at CCLE
due Dec. 5 (Thurs.)
|
| 10
| December 2
December 4
December 6
| 6.3
6.3
-
| The Adjoint of a Linear Operator
The Adjoint of a Linear Operator
Review
| Section 6.3: 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 14, 15
| Practice final at CCLE
|
| 11 | December 10 | - | Final Exam from 11:30AM to 2:30PM
|
| -
|