Here is the course's syllabus.
Lectures are on tuesdays 13:00-14:30 and thursdays 11:30-13:00.
Office hours are on wednesdays 10:00-11:30 in KED B07-A (585 King Edward, basement) or by appointment.
In any case, please notify
by email or after the class that you are planning to come.
The e-book “Vector Spaces First” (password protected, do not distribute) by T. Giordano, B. Jessup and M. Nevins (also available on the blackboard page of the class) will be the main reference for this class.
If you are looking for exercises: you can try those at the end of each chapter of the textbook, and here is a stock of past mid-terms, with solutions. Most of the exercises you will be doing in DGD will be taken from there.
Diagnostic test, on January 25th.
Test 2, on February 22nd. A list of exercises to prepare. (solutions)
Test 3, on March 14th. A list of exercises to prepare. (solutions)
Test 4, on April 4th. A list of exercises to prepare. (solutions)
The final was on April 20th. (solutions)
[April 7th] Class ends.
| Lecture | Date | Topic |
|---|---|---|
| 1 | January 12th | Complex numbers: basic operations, polar form |
| 2 | January 14th | Vectors (the Rn space) and geometry: dot product, orthogonality, angles |
| 3 | January 19th | projection on a vector; lines and planes |
| 4 | January 21st | cross products; vector spaces (introduction) |
| 5 | January 26th | vector spaces and subspaces |
| 6 | January 28th | Spans |
| 7 | February 2nd | Linear independence/dependence |
| 8 | February 4th | Basis and dimension |
| 9 | February 9th | Dimension theorems |
| 10 | February 11th | Function space; Coordinates in a basis |
| 11 | February 23rd | Linear systems, introduction |
| 12 | February 25th | Row echelon forms, gaussian elimination |
| 13 | March 1st | Gaussian elimination, rank; traffic flow problems |
| 14 | March 3rd | Applications of linear systems; matrix product |
| 15 | March 8th | Other matrix operations, properties, matrices and linear systems |
| 16 | March 10th | Block multiplication; vector spaces and matrices |
| 17 | March 15th | Vector spaces and matrices, Nullspace and spans |
| 18 | March 17th | Matrices and bases: rowspace, column space... |
| 19 | March 22nd | Matrix inverses |
| 20 | March 24th | Orthogonality |
| 21 | March 29th | Orthogonality; determinants |
| 22 | March 31st | Determinants; intro to eigen-vectors |
| 23 | April 5th | eigen-values, eigen-vectors, diagonalization |
| 24 | April 7th | diagonalization; linear transformations |