Syllabus
Office hours: MW 2--5, TR 2--3 at LBV 321;
email: david.milovich@tamiu.edu
Textbook.
(Use version 3.50.)
Spring 2016 course materials
Spring 2017 course materials
| Day | Readings | Topics | Photos | Other | Practice problems | Topics Tested on Day |
| 1 | SSLE | solving systems of linear equations | zip | SymPy Live | 11 | |
| 2 | RREF | reduced row echelon form | zip | 11 | ||
| 3 | TSS; HSE | types of solution sets; homogeneous systems | zip | Octave shell | 11 | |
| 4 | NM; VO | nonsingular matrices; vector operations | zip | SageMathCell | 11 | |
| 5 | LC; SS | linear combinations; spanning sets | zip | 11 | ||
| 6 | LI; LDS | linear independence and spans | zip | 11 | ||
| 7 | LDS; O | linear independence and orthogonality | zip | 18 | ||
| 8 | MO; MM | matrix operations; matrix multiplication | zip | 18 | ||
| 9 | MISLE; MINM | matrix inverses | zip | Q&A 1--6 (pdf) | 18 | |
| 10 | MISLE; MINM | inverses; unitary matrices | zip | 18 | ||
| 12 | MINM; CRS | unitary matrices; column spaces | zip | 18 | ||
| 13 | CRS; FS | column, row, null, left null spaces; extended echelon form | zip | more examples (pdf) | 18 | |
| 14 | VS; S | vector spaces and subspaces | zip | hand-out (pdf) | 24 | |
| 15 | LISS; B | subspaces; bases | zip | 24 | ||
| 16 | LISS; B | coordinates; orthonormal bases | zip | regression (xlsx) solutions 7-13 (pdf) | 24 | |
| 17 | B; D | coordinates; dimension | zip | solutions 1-6 (pdf) | 24 | |
| 19 | DM; PDM | determinants | zip | 24 | ||
| 20 | PDM; EE | eigenvalues and eigenvectors | zip | 24 | ||
| 21 | EE; PEE | eigenvalues and eigenvectors | zip | solutions 14-20 (pdf) | ||
| 22 | PEE; SD | diagonalization | zip | |||
| 23 | Q&A 14--20 | zip | ||||
| 26 | LT | linear transformations | zip | |||
| 27 | ILT, SLT, IVLT | injective, surjective, and invertible transformations | zip | |||
| 28 | CB, OD, | Change of basis; orthonormal diagonalization | zip | |||
| 29 | Q&A | zip | solutions 21-28 (pdf) | |||
| Final Exam (3:30, May 15) |