| Week | Lecture Day | Section | Topic | Suggested Exercise Problems | Homework
|
| 1 | March 31
April 2
April 4
| 1.1
1.2
1.3
| Linear Systems
Matrices, Vectors, and Gauss-Jordan Elimination
Solutions of Linear Systems
| Section 1.1: 1, 7, 12, 13, 17, 18
Section 1.2: 11--16, 21, 22, 27
Section 1.3: 2--4, 13--20, 35, 36, 37, 44, 45, 46
| Set #1: posted at CCLE
due April 4 (Friday)
|
| 2 | April 7
April 9
April 11 | 2.1
2.2
2.3
| Linear Transformations
Linear Transformations in Geometry
Matrix Products
| Section 2.1: 1, 3, 4--12, 13, 22, 23, 24--27, 33
Section 2.2: 4--9, 19--22, 27
Section 2.3: 1--11, 16--19, 44
| Set #2: posted at CCLE
due April 11 (Friday)
|
| 3 | April 14
April 16
April 18
| 2.4
3.1
-
| The Inverse of a Linear Transformations
Image and Kernel of a Linear Transformation
First Midterm
| Section 2.4: 1--10, 16--25
Section 3.1: 1--8, 14, 15, 23--25, 39, 40
| Practice midterm: posted at CCLE
|
| 4 | April 21
April 23
April 25
| 3.2
3.3
3.4
| Subspaces of R^n; Bases and Linear Dependence
The Dimension of a Subspace of R^n
Coordinates
| Section 3.2: 1--6, 10--17, 21--24, 27--31, 39, 43
Section 3.3: 1--10, 21-24, 27--33, 34, 42, 43, 47, 48
Section 3.4: 1--12, 19-30, 31,32, 71, 72
| Set #3: posted at CCLE
due April 25 (Friday)
|
| 5 | April 28
April 30
May 2
| 5.1
5.2
5.3
| Orthogonal Projections and Orthogonal Bases
Gram-Schmidt Process and QR Factorization
Orthogonal Transformations and Orthogonal Matrices
| Section 5.1: 1--10, 26--28, 40--46
Section 5.2: 1--8, 15--18, 32, 33
Section 5.3: 1, 2, 5--11, 13--15, 29, 33
| Set #4: posted at CCLE
due May 2 (Friday)
|
| 6 | May 5
May 7
May 9
| 6.1
6.2
6.3
| Determinants
Properties of the Determinant
Cramer's Rule
| Section 6.1: 1, 2, 7, 8, 37, 38, 43
Section 6.2: 1--4, 17, 18, 30, 38
Section 6.3: 1, 2, 30, 31, 45
| Set #5: posted at CCLE
due May 9 (Friday)
|
| 7 | May 12
May 14
May 16
| 7.1
7.2
-
| Diagonalization
Finding Eigenvalues
Second Midterm
| Section 7.1: 1--4, 7, 9, 15, 18, 19, 34, 35, 37, 38
Section 7.2: 1--6, 17, 18, 29, 30, 33
| Practice midterm: posted at CCLE
|
| 8
| May 19
May 21
May 23
| 7.3
7.5
8.1
| Finding Eigenvectors
Complex Eigenvalues
Symmetric Matrices
| Section 7.3: 1--5, 31, 32
Section 7.5: 20--25, 27, 28
Section 8.1: 1--4, 7, 8, 14, 15, 25
| Set #6: posted at CCLE
due May 23 (Friday)
|
| 9
| May 26
May 28
May 30
| -
8.2
8.3
| Memorial Hay holiday
Quadratic Forms
Singular Values
| Section 8.2: 1, 2, 4--6, 26, 28
Section 8.3: 1--4
| Set #7:
|
| 10
| June 2
June 4
June 6
| -
-
-
| -
-
Review
|
| Practice final:
|
| 11 | June 12 | - | Final Exam from 8:00AM to 11:00PM
|
| -
|