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 |
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 Mid-Semester 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 Gram-Schmidt Process.
6.5. Least-Squares 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 1:00-4:00. 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. |