Homepage of MTH 2775

MTH 2775, Summer 2024

Office Hours: By appointment.

Handout: See Moodle. 

Lectures (Updated July 15, 2024)

July 1: 1.1-1.3.

July 2: 1.3.

July 3: 2.1-2.2.

July 8: 2.2-2.3. (Skipped block matrices.)

July 9: Technology evaluation, 2.4-2.5. (Skipped Smith normal form.)

July 10: 2.4-2.5.

July 11: Exercise set.

July 12: Fredholm's Alternative and LU decomposition of square matrices 2.7.

July 15: 3.1-3.2.

July 16: 3.3 (Light on adjoint and Cramer's rule.), Google pagerank (Postponed). Catchup.

July 17: 3.3, (Skipped geometric examples and linear dynamical systems), application to systems of recurrence relations (part of 3.5) Reading assignment: 4.1-4.3.

July 18: Quiz 1 (due at the start of the lecture) 5.1, 6.1.

July 19: Catch up

July 22: Questions and Answers, 5.1-5.2, 6.1.

July 23: Test 1.

July 24: 5.2, 6,2-6.3, 6.4 (abridged).

July 25: 5.4, 6,2-6.3, 6.4 (abridged).

July 26: Discussion of Test 1, Extra recording: More Google pagerank, Delay to next class: 5.4, 6,2-6.3, 6.4 (abridged).

July 29: 5.2, 5.4 (review), 5.5 (no block matrices, no complex numbers). 

July 30: odds and ends, 2.6, 7.1.

July 31: 5.3.

Aug 1: 8.1-8.2 (abridged), 8.4 (abridged).

Aug 2: Quiz 2 (due at the start of the lecture) 8.1-8.2 (abridged), 8.4 (abridged).

Aug 5: Test 2

Aug 6: Discussion of Test 2, Questions and Answers, 8.1-8.2 (abridged), 8.4 (reading assignment, not on exam). 9.1 (abridged).

Aug 7: catchup, 9.1 (reading assignment) 7.2 (abridged), 7.3 (reading assignment).

Aug 8: Questions and Answers.

Aug 9: Final Exam

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