Week #1:
Jan 10  14
Homework

1.1. Systems of Linear Equations.
1.2. Row Reduction and Echelon Forms.
1.3. Vector Equations.

Week #2:
Jan 17  21
Homework

1.4. The Matrix Equation Ax = b.
1.5. Solution Sets of Linear Systems.
Administrative Note: Monday 6 September is Labor Day.
Class will not meet.

Week #3:
Jan 24  28
Homework

1.7. Linear Independence.
1.8. Introduction to Linear Transformations.
1.9. The Matrix of a Linear Transformation.

Week #4:
Jan 31  Feb 4
Homework

2.1. Matrix Operations.
2.2. The Inverse of a Matrix.
2.3. Characterizations of Invertible Matrices.

Week #5:
Sep. 27  Oct. 1
Homework

2.5. Matrix Factorizations.
2.7. Applications to Computer Graphics.
Exam #1 will be given on Wednesday 29
September. The exam will be held during your regular class
time.
Here are some review problems.

Week #6:
Oct. 4  8
Homework

3.1. Introduction to Determinainants.
3.2. Properties of Determinants.
4.1. Vector Spaces and Subspaces.

Week #7:
Oct 11  15
Homework

4.2. Null Spaces, Column Spaces, and Linear Transformations.
4.3. Linearly Independent Sets; Bases.
4.4. Coordinate Systems.

Week #8:
Oct 18  22
Homework

4.5. The Dimension of Vector Space.
4.6. Rank.
Administrative note: Friday 22 October is the MidSemester Break.
Class will not meet.

Week #9:
Oct 25  29
Homework

4.7. Change of Basis.
4.9. Applications to Markov Chains.
Exam #2 will be given on Wednesday 27
October.
Here are some review problems.

Week #10:
Nov 1  5
Homework

5.1. Eigenvectors and Eigenvalues.
5.2. The Characteristic Equation.
5.3. Diagonalization.

Week #11:
Nov 8  12
Homework

5.4. Eigenvectors and Linear Transformations.
5.5. Complex Eigenvalues.
5.6. Discrete Dynamical Systems.

Week #12:
Nov 15  19
Homework

6.1. Inner Product, Length, and Orthogonality.
6.2. Orthogonal Sets.
6.3. Orthogonal Projections.

Week #13:
Nov 22  26
Homework

Exam #3 will be given on Monday 22 November.
Here is a study guide.
Administrative Note: Wednesday  Friday the 24  26 of November is
the Thanksgiving Holiday. Class will
not meet.
Here is a study guide. More items may be added,
so check back.

Week #14:
Nov 29  Dec 3
Homework

6.4. The GramSchmidt Process.
6.5. LeastSquares Problems.
7.1. Diagonalization of Symmetric Matrices.

Week #15:
Dec 6  10
Homework

7.2. Quadratic Forms.
7.4. The Singular Value Decomposition.
7.5. Applications to Image Processing and Statistics.
Administrative note: Friday 10 December is the last day of class.

Final Exam
Dec 14

Final Exams.
Our final exam has been scheduled for Tuesday 14 December, from
1:004:00. Section A and B will take the exam in MM103, Sections C
and D in MM A14 and Section E in DH 2109. When making your travel
plans, you should make sure there is no need for you to leave campus before
4:00pm on December 14.
Here are some
review problems.
