Week 1 (9/7) - Introduction
Week 2 (9/14) - Linear equations
Week 3 (9/12) - LU decomposition
Week 4 (9/28) - The inverse of a matrix
Week 5 (10/05) - Vector space
Week 6 (10/12) - Solving linear equations
Week 7 (10/19) - Subspace
Week 8 (10/26) - Mid-term
Week 9 (11/2) - Linear transformation
Week 10 (11/9) - Orthogonal vectors
Week 11 (11/16) - Least-squares
Week 12 (11/23) - Gram-Schmidt
Week 13 (11/30) - Determinants
Week 14 (12/7) - Eigenvectors and eigenvalues
Week 15 (12/14) - Final
Homework: 10%
Participation: 20%
Midterm: 30%
Final: 40%
This syllabus is subject to further change at the instructor's discretion.