| 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 |