Math 2121 (Linear Algebra, Spring 2025)
Basic Class Information
|
Lecture |
Time |
Mon, Wed 10:30 - 11:50 |
Venue |
Rm 2503, Lift 25-26 |
Instructor |
Guowu Meng |
TAs |
Weixiao Sun, HU Biying |
Office |
3484 |
Phone |
2358-7451 |
Textbook
1. Linear Algebra and its Applications, 6th edition, by D. Lay, S. Lay, and J. McDonald
2. Interactive Linear Algebra
COURSE CONTENTS
- Week 1: Linear systems, row reduction to echelon form (reading: Sections 1.1-1.2)
- Week 2: Vectors, matrix equations, linear independence (reading: Sections 1.3-1.5, 1.7)
- Week 3: Linear independence, linear transformations (reading: Sections 1.7-1.9)
- Week 4: Matrix multiplication, the inverse of a matrix (reading: Sections 2.1-2.3)
- Week 5: Subspaces, bases, dimension (reading: Sections 2.4, 2.8-2.9)
- Week 6: Determinants (reading: Sections 3.1-3.2)
- Week 7: Vector spaces, midterm (reading: Sections 4.1-4.6)
- Week 8: Eigenvectors, and eigenvalues (reading: Section 5.1)
- Week 9: Similarity and diagonalisable matrices (reading: Sections 5.2-5.4)
- Week 10: Complex eigenvalues, properties of eigenvalues (reading: Sections 5.5, 6.1)
- Week 11: Inner products, orthogonality, and projections (reading: Sections 6.1-6.3)
- Week 12: Gram-Schmidt process, least-squares problems (reading: Sections 6.4-6.6)
- Week 13: Symmetric matrices, SVDs (reading: Sections 7.1, 7.4)
GRADING POLICY
Grades will be computed as follows:
- 20%: homework assignments
- 30%: midterm examination
- 50%: final examination
HOMEWORKS
They will be assigned weekly and announced on Canvas
EXAMS
They will be announced on Canvas