Linear Algebra I (Spring 2024)

Welcome to Linear Algebra I! This is a theoretical course covering the fundamentals of linear algebra. In addition to linear algebra, we will cover the basics of mathematical proofs and mathematical writing.

Instructor: Tyler Chen
Email: tyler.chen@nyu.edu
Class: T 5:10-7:00pm (WWH 517)
Office Hours: M,T 12-1pm (WWH905), by appointment

Syllabus
Edstem discussion
Gradescope
Notes

Approximate Schedule

Reading are chapters in Lax and Axler.

Week
Topic
Reading
Homework/Quiz
1. (1/23)
Linear spaces, Subspaces
L1, A1A, A1B, A1C
Intro Survey (1/23)
2. (1/30)
span, linear (in)dependence
L1, A2A, A2B, A2C
HW1 (2/5)
3. (2/6)
basis, dimension
L1, A2B, A2C
Q1 (2/6); sample
4. (2/13)
isomorphism, linear maps
L3, A3A, A3B
HW2 (2/19)
5. (2/20)
linear mappings, domain, range, null space
L3, A3A, A3B
Q2
6. (2/27)
matrices
L4, A3C
HW3 (3/05)
7. (3/5)
Fundamental theorem, underdetermined linear systems
L3, A3B
Q3
8. (3/12)
duality
L2, A3F
HW4
9. (3/19)
SPRING BREAK
 
 
10. (3/26)
SVD, Gaussian Elimination
L4, A3C
Q4
11. (4/2)
determinant, permutation group
L5
HW5
12. (4/9)
Laplace expansion, Cramer’s rule
L5
Q5
13. (4/16)
eigenvalues, eigenvectors, characteristic polynomial, Cayley-Hamilton theorem, diagonalization
L6
HW6
18. (4/23)
Similarity, Spectral Theorem
L6
Q6
14. (4/30)
built in dead time
 
 
15. (?)
Finals week