| 1 |
Introduction to Mathematical Writing |
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| 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 |
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| 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 |