Spring 2023.
Classroom: CSB 001
Textbook: Meckes, Linear algebra.
Instructor office hours. (See the Canvas page for the zoom link for office hours, and for the TA office hours)
Wednesday 5-6 pm: AP&M 1202 and Zoom
Thursday 10-11am Zoom.
Friday 10am - 11am AP&M 1202.
TA office hours.
Runqiu: Thursday 6-8pm.
Varun: Tuesday 11-12pm, 2-3pm.
The syllabus can found on the syllabus page
Information on the final project can be found on the final project page
The exams are
Videos:
Week 1: Gaussian elimination, vectors, vector spaces and linear maps, matrices. Meckes Chapter 1.2, 1.3, 1.5, 2.1.
Week 2: Eigenvalues and eigenvectors, more on matrices, composition and matrix multiplication, transpose, isomorphisms, range, kernel. Meckes Chapter 2.1, 2.2, 2.3, 2.5.
Week 3. More on range, kernel. Eigenspaces and direct sumss. Linear independence, span, bases, change of bases. Similarity and diagonalizability. Meckes Chapter 2.5, 3.1, 3.2, 3.6.
Week 4: Exam 1.
Week 5: Inner products, orthonormal bases, subspaces and projection. Meckes Chapter 4.1-4.3.
Week 6: Norms, isometries. Intro to Singular Value Decomposition. Meckes Chapter 4.4, 4.5, 5.1.
Week 7: Singular Value Decomposition & applications. Meckes Chapter 5.2.
Week 8: Computing SVD and the Spectral theorem. Meckes Chapter 5.3, 5.4.