| WEEK # | TOPICS | KEY DATES |
|---|---|---|
| 1 | Introduction to Mathematical Writing | |
| 2 | Linear Spaces | Thursday: First draft of Homework #1 due |
| 3 | Basis and Dimension | Tuesday: Final version of Homework #1 due Thursday: First draft of Homework #2 due |
| 4 | Linear Mappings | Monday: Final version of Homework #2 due Thursday: First draft of Homework #3 due |
| 5 | Matrices | Thursday: Second draft of Homework #3 (typeset in LATEX) due |
| 6 | Publishing Program LATEX | Monday: Final version of Homework #3 due Thursday: First draft of Homework #4 due |
| 7 | Subspaces and Direct Sums | Monday: Final version of Homework #4 due |
| 8 | Reflections in a Euclidean Space | Monday: Two student presentations on Final Project #1 due |
| 9 | Abstract Root Systems | Monday: Two student presentations on Final Project #2 due |
| 10 | Simple and Positive Roots | Monday: Two student presentations on Final Project #3 due |
| 11 | No new topics: Independent study | |
| 12 | Properties of Simple Roots | Monday: Two student presentations on Final Project #4 due |
| 13 | Cartan Matrix of a Root System | Monday: Two student presentations on Final Project #5 due |
| 14 | Dynkin Diagrams and Classification | Monday: Two student presentations on Final Project #6 due Monday: All final papers typeset in LATEX due |
