Homepage of MTH 2775

MTH 2775, Summer 2023

Office Hours: By appointment.

Handout: See Moodle. 

Lectures (Updated July 19, 2023)

July 5: 1.1-1.3.

July 6: 1.3.

July 10: 2.1-2.2.

July 11: 2.2-2.3. (Skipped block matrices.)

July 12: Technology evaluation, 2.4-2.5. (Skipped Smith normal form.)

July 13: 2.4-2.5.

July 17: Exercise set. Extra recording on Fredholm's Alternative and LU decomposition of square matrices 2.7.

July 18: 3.1-3.2. (Different approach on the definition of the determinant of a square matrix.)

July 19: 3.2. (Light on adjoint and Cramer's rule.)

July 20: 3.3, Google pagerank (Postponed). Catchup.

July 24: 3.3, (Skipped geometric examples and linear dynamical systems), application to systems of differential equations (part of 3.5) Reading assignment: 4.1-4.3.

July 25: Quiz 1 (due at the start of the lecture) 5.1, 6.1.

July 26: 5.1-5.2, 6.1.

July 27: 5.2, 6,2-6.3, 6.4 (abridged).

July 31: Questions and Answers, 5.4, 6,2-6.3, 6.4 (abridged).

Aug 1: Test 1.

Aug 2: Discussion of Test 1, Extra recording: More Google pagerank, Delay to next class: 5.4, 6,2-6.3, 6.4 (abridged).

Aug 3: 5.2, 5.4 (review), 5.5 (no block matrices, no complex numbers). 

Aug 7: odds and ends, 2.6, 7.1.

Aug 8: 5.3.

Aug 9: 8.1-8.2 (abridged), 8.4 (abridged).

Aug 10: 8.1-8.2 (abridged), 8.4 (abridged).

Aug 14: Quiz 2 (due at the start of the lecture), Questions and Answers, 8.1-8.2 (abridged), 8.4 (reading assignment, not on exam). 9.1 (abridged).

Aug 15: Test 2.

Aug 16: catchup, 9.1 (reading assignment, not on exam), 7.2 (abridged), 7.3 (reading assignment, not on exam).

Aug 17: Discussion of Test 2, Questions and Answers.

Below are some relevant exercises corresponding to the material presented in class. These are not homework. However it is recommended that you work on at least some of them.

(Updating throughout the semester.)

1.1: 1.1.1-1.1.20

1.2: 1.2.1-1.2.22

1.3: 1.3.1-1.3.12

2.1: 2.1.1-2.1.24

2.2: 2.2.1-2.2.10

2.3: 2.3.1-2.3.34

2.4: 2.4.1-2.4.42

2.5: 2.5.1-2.5.10

2.6: 2.6.1-2.6.3, 2.6.5-2.6.7, 2.6.13-2.6.17

2.7: 2.7.1-2.7.4

3.1: 3.1.1-3.1.25

3.2: 3.2.1-3.2.14, 3.2.16-3.2.18

3.3: 3.3.1,3.3.3-3.3.4,3.3.6-3.3.19,3.3.21,3.3.25a-3.3.25b

3.5: 3.5.1

4.1-4.3: -.

5.1: 5.1.1-5.1.23

5.2: 5.2.1-5.2.20

5.3: 5.3.1-5.3.18

5.4: 5.4.1-5.4.15

5.5: 5.5.1-5.5.13

6.1: 6.1.1-6.15

6.2: 6.2.1-6.2.22

6.3: 6.3.1,6.3.2c,6.3.4-6.3.8,6.3.10,6.3.12-6.3.15,6.3.18-6.3.21,6.3.23-6.3.24

6.4: 6.4.1-6.4.3,6.4.7,6.4.10

7.1: 7.1.1a-b,d-k, 7.1.2-7.1.6, 7.1.9-7.1.10, 7.1.15-7.1.17

8.1: 8.1.1-8.1.7-8.1.15

8.2: 8.2.1-8.2.5, 8.2.11

8.4:  8.4.1-8.4.2