Fall 2021 ODE

Math 265 Linear Algebra

Office: Math 415

Office hour: 1:30 pm to 4:20 pm Thursday. I may change my office hours but I will let you know. You can also email me to make an appointment.

Course information

The syllabus is available here. Additional information such as the office hours... can be found in this page.
The homework information is available here; we have one or two homeworks for each section, the due date is usually one week after the topic is discussed. 2.pdf
We use MyLab for the online homework and Gradescope for the written homework. The handwritten homework questions are here.
The tentive schedule is here schedule.

Class notes

I will upload the class notes in this section.

Week 1, Jan 11 sec 1.1 (linear system) , sec 1.2 (rref) , sec 1.3 (vector equation) , sec 1.4 (equivalance theorems) .

Week 2, Jan 18 sec 1.5 (homogeneous and non-homog parametric solutions) , sec 1.7 (linear dependency) , sec 1.8 (transformation)

Week 3, Jan 25 sec 1.9 (linear transformation, std matrix A, one to one, onto) , sec 2.1 (matrix operations, multiplication)

Week 4, Feb 1 sec 2.2 (inverse and equivalent theorem), sec 2.8 (subspace, basis, col and null space)

Week 5, Feb 8 sec 2.9 (dimension, rank, rank theorem, basis theorem and invertiable matrix theorem) , sec 3.1 (intro to det) , sec 3.2 EROs and det of a matrix

Week 6, Feb 15 sec 3.3 Crimer`s rule, transformation and area, Spring 2019 midterm 1 review (updated)

Week 7, Feb 23 sec 4.1, sec 4.2, sec 4.3, sec 4.5

Week 8, Mar 1 sec 5.1 eigenvalue, sec 5.2 characteristic equation, similarity, sec 5.3 diagonalization, two important theorems, sec 5.4 transformation and diagonalization

Week 10, Mar 21 sec 5.5 complex eigenvalue, sec 5.7 ODEs

Week 11, Mar 28 (Midterm 2 review) spring 2019 final review , fall 2019 final review

Week 12, April 5 sec 6.1 (inner product) ,sec 6.2 (orthonomral matrix theorem),sec 6.3 (orthogonal decomposition theorem, best approximation theorem) , sec 6.4 (Gram Schmidt, QR factorization)