| Week | Topics | Homework | Due Date |
|---|---|---|---|
| August 28 - 30 | Notes on Row Reduction and Fields pages 1 - 32 in Textbook |
HW1.pdf | September 6 |
| Septmeber 3 - 6 | Notes on Useful Definitions, Vector Space and Subobjects pages 33 - 40 in Textbook |
HW2.pdf | September 11 |
| Septmeber 9 - 13 | Notes on Direct Sums and Products pages 40 - 56 in Textbook |
HW3.pdf | September 18 |
| Septmeber 16 - 20 | Notes on Equivalence Relations and Quotient Spaces pages 87 - 94 in Textbook |
HW4.pdf | September 25 | Septmeber 23 - 27 | Notes on Universal Mapping Properties and Basis pages 65-68 in Textbook |
No Homework |   |
| Septmeber 26 - October 7 | Take Home Exam | Prelim1.pdf | October 7 |
| Septmeber 30 - October 4 | Notes on Matrix of Linear Transformations pages 72 - 79 in Textbook |
HW5.pdf | October 11 |
| October 7 -11 | Notes on Dual Spaces pages 94-106 in Textbook |
No Homework |   |
| October 14 - 15 | Fall Break |   |   |
| October 16 - 18 | Notes on Rings pages 18 - 29 in Textbook |
HW6.pdf | October 23 |
| October 21 - 25 | Notes on Modules and Modules over PID pages 109 - 159 in Textbook |
HW7.pdf | October 30 |
| October 28 - November 1 | Notes on Modules over PID pages 109 - 184 in Textbook |
HW8.pdf | November 6 |
| November 4 - 8 | Eigenvalues and Eigenvectors, Inner Product Spaces pages 185 - 226 in Textbook |
No Homework |   |
| November 8 - 18 | Take Home Exam | Prelim2.pdf | November 18 |
| November 11 - 15 | Inner Product Spaces, Hilbert Spaces pages 205 - 254 in Textbook |
No Homework |   |
| November 18 - 22 | Normal Operators and Spectral Theory, Singular Value Decompsition pages 227-254; 325-352 and 443-450 in Textbook |
No Homework |   |
| November 25 - 26 | Notes on Tensor Products pages 355 - 410 in Textbook |
HW9.pdf | December 4 |
| November 27 - 29 | Thanksgiving Break |   |   |
| December 2 - 6 | Notes on Tensor Products and Exterior Products pages 355 - 410 in Textbook |
No Homework |   |
| December 6 - 14 | Take Home Exam | Final.pdf | December 14 |