This schedule is tentative. It will get more accurate as the semester
progresses. As each topic is covered in lecture, the color will be
changed from blue to black.
 Week #1:
Jan 10 - 14
Homework
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1.1. Systems of Linear Equations.
1.2. Row Reduction and Echelon Forms.
1.3. Vector Equations.
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Week #2:
Jan 17 - 21
Homework
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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.
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Week #3:
Jan 24 - 28
Homework
|
1.7. Linear Independence.
1.8. Introduction to Linear Transformations.
1.9. The Matrix of a Linear Transformation.
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Week #4:
Jan 31 - Feb 4
Homework
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2.1. Matrix Operations.
2.2. The Inverse of a Matrix.
2.3. Characterizations of Invertible Matrices.
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Week #5:
Sep. 27 - Oct. 1
Homework
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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.
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Week #6:
Oct. 4 - 8
Homework
|
3.1. Introduction to Determinainants.
3.2. Properties of Determinants.
4.1. Vector Spaces and Subspaces.
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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.
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Week #8:
Oct 18 - 22
Homework
|
4.5. The Dimension of Vector Space.
4.6. Rank.
Administrative note: Friday 22 October is the Mid-Semester Break.
Class will not meet.
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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.
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Week #10:
Nov 1 - 5
Homework
|
5.1. Eigenvectors and Eigenvalues.
5.2. The Characteristic Equation.
5.3. Diagonalization.
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Week #11:
Nov 8 - 12
Homework
|
5.4. Eigenvectors and Linear Transformations.
5.5. Complex Eigenvalues.
5.6. Discrete Dynamical Systems.
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Week #12:
Nov 15 - 19
Homework
|
6.1. Inner Product, Length, and Orthogonality.
6.2. Orthogonal Sets.
6.3. Orthogonal Projections.
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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.
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Week #14:
Nov 29 - Dec 3
Homework
|
6.4. The Gram-Schmidt Process.
6.5. Least-Squares Problems.
7.1. Diagonalization of Symmetric Matrices.
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Week #15:
Dec 6 - 10
Homework
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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.
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Final Exam
Dec 14
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Final Exams.
Our final exam has been scheduled for Tuesday 14 December, from
1:00-4:00. 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.
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