| Week | Lecture Day | Section | Topic | Suggested Exercise Problems | Homework
|
| 0 | September 25
| 1.1
| Linear Systems
| Section 1.1: 1, 7, 12, 13, 17, 18
|
|
| 1 | September 28
September 30
October 2
| 1.2
1.3
2.1
| Matrices, Vectors, and Gauss-Jordan Elimination
Solutions of Linear Systems
Linear Transformations
| Section 1.2: 11--16, 21, 22, 27
Section 1.3: 2--4, 13--20, 35, 36, 37, 44, 45, 46
Section 2.1: 1, 3, 4--12, 13, 22, 23, 24--27, 33
| Set #1: posted on CCLE
due October 2 (Friday)
|
| 2 | October 5
October 7
October 9
| 2.2
2.3
2.4
| Linear Transformations in Geometry
Matrix Products
The Inverse of a Linear Transformation
| Section 2.2: 4--9, 19--22, 27
Section 2.3: 1--11, 16--19, 44
Section 2.4: 1--10, 16--25
| Set #2: posted on CCLE
due October 9 (Friday)
|
| 3 | October 12
October 14
October 16
| 3.1
3.2
3.3
| Image and Kernel of a Linear Transformation
Subspaces of R^n; Bases and Linear Dependence
The Dimension of a Subspace of R^n
| Section 3.1: 1--8, 14, 15, 23--25, 39, 40
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
| Set #3: posted on CCLE
due October 16 (Friday)
|
| 4 | October 19
October 21
October 23
| 3.4
-
-
| Coordinates
Review
First Midterm
| Section 3.4: 1--12, 19-30, 31,32, 71, 72
-
Practice midterm: posted on CCLE
|
|
| 5 | October 26
October 28
October 30
| 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 on CCLE
due October 30 (Friday)
|
| 6 | November 2
November 4
November 6
| 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 on CCLE
due November 6 (Friday)
|
| 7 | November 9
November 11
November 13
| 7.1
-
7.2
| Diagonalization
Veterans Day Holiday
Finding Eigenvalues
| Section 7.1: 1--4, 7, 9, 15, 18, 19, 34, 35, 37, 38
-
Section 7.2: 1--6, 17, 18, 29, 30, 33
| Set #6: posted on CCLE
due November 13 (Friday)
|
| 8 | November 16
November 18
November 20
| 7.3
-
-
| Finding Eigenvectors
Review
Second Midterm
| Section 7.3: 1--5, 31, 32
-
Practice midterm: posted on CCLE
|
|
| 9 | November 23
November 25
November 27
| 8.1
8.2
-
| Symmetric Matrices
Quadratic Forms
Thanksgiving Holiday
| Section 8.1: 1--4, 7, 8, 14, 15, 25
Section 8.2: 1, 2, 4--6, 26, 28
-
| Set #7: posted on CCLE
due December 2 (Wednesday)
|
| 10
| November 30
December 2
December 4
| 8.3
-
-
| Singular Values
Overflow
Review
| Section 8.3: 1--4
-
Practice final:
|
|
| Finals | December 9 | - | Final Exam from 8:00AM to 11:00AM
| -
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