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.
1.7. Linear Independence.
Administrative Note: Monday 17 January is Martin Luther King Day.
Class will meet.
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Week #3:
Jan 24 - 28
Homework
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1.8. Introduction to Linear Transformations.
1.9. The Matrix of a Linear Transformation.
2.1. Matrix Operations.
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Week #4:
Jan 31 - Feb 4
Homework
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2.2. The Inverse of a Matrix.
2.3. Characterizations of Invertible Matrices.
2.5. Matrix Factorizations.
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Week #5:
Feb 7 - 11
Homework
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2.7. Applications to Computer Graphics.
3.1. Introduction to Determinainants.
Administrative Note: Monday 7 February is the Mid-Mini Break.
Class will not meet.
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Week #6:
Feb 14 - 18
Homework
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3.2. Properties of Determinants.
4.1. Vector Spaces and Subspaces.
Exam #1 will be given on Wednesday 16 February. The exam will be held during your regular class
time.
Here are some review problems.
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Week #7:
Feb 21 - 25
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:
Feb 28 - Mar 4
Homework
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4.5. The Dimension of Vector Space.
4.6. Rank.
Administrative note: Friday 4 March is the Mid-Semester Break.
Class will not meet.
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Mar 7 - 11
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Spring Break.
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Week #9:
Mar 14 - 18
Homework
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4.7. Change of Basis.
4.9. Applications to Markov Chains.
5.1. Eigenvectors and Eigenvalues.
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Week #10:
Mar 21 - 25
Homework
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5.2. The Characteristic Equation.
5.3. Diagonalization.
Exam #2 will be given on Wednesday 23 March.
Here are some review problems.
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Week #11:
Mar 28 - Apr 1
Homework
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5.4. Eigenvectors and Linear Transformations.
5.5. Complex Eigenvalues.
5.6. Discrete Dynamical Systems.
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Week #12:
Apr 4 - 8
Homework
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6.1. Inner Product, Length, and Orthogonality.
6.2. Orthogonal Sets.
6.3. Orthogonal Projections.
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Week #13:
Apr 11 - 15
Homework
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6.4. The Gram-Schmidt Process.
6.5. Least-Squares Problems.
Administrative Note: Friday 15 April is
the Spring Carnival break. Class will
not meet.
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Week #14:
Apr 18 - 22
Homework
|
7.1. Diagonalization of Symmetric Matrices.
7.2. Quadratic Forms.
Exam #3 will be given on Wednesday 20 April.
Here is a study guide.
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Week #15:
Apr 25 - 28
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7.4. The Singular Value Decomposition.
7.5. Applications to Image Processing and Statistics.
2.4. Partitioned Matrices.
Administrative note: Friday 28 April is the last day of class.
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Final Exam
May 9
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Final Exam. Our final exam has been
scheduled for Monday 9 May from 5:30-8:30pm. When scheduling your
departure, do not plan to leave before May 10. Early exams will not
be given.
Here are some
review problems.
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