Math 2080 (online), Summer Session I, 2017

Math 2080 (online), Summer Session I, 2017



Class: Introduction to Ordinary Differential Equations.

Instructor: Dr. Macauley

Resources

Lectures

Links to the individual lectures are listed below. Or, you can view the full 32-hour, 33-minute YouTube playlist of 52 lectures here. To avoid blurriness, these are best viewed by changing the settings to 720p (High Definition) rather than the default of 240p. This can be easily done by clicking the "wheel" on the lower right corner; right next to the "cc" button. I have also posted the slides, but they have limited use on their own, because I write all over them in the YouTube lectures, and this handwriting does not appear in the pdf version. A few minor errors have been found in the videos, which are mentioned in the video description and/or comments.

Section 1: Introduction to Ordinary Differential Equations. (3 lectures: 1 hr 23 min).

Lecture notes. 9 pages, last updated 1/21/11. Brannan/Boyce: Sections 1.1--1.3, 2.3, 8.1, supplemental material.

Section 2: First Order Differential Equations. (8 lectures: 4 hrs 49 min).

Lecture notes. 21 pages, last updated 2/17/11. Brannan/Boyce: Sections 2.1--2.6.
Section 3: Second Order Differential Equations. (9 lectures: 6 hrs 24 min).

Lecture notes. 29 pages, last updated 2/17/11. Brannan/Boyce: Sections 4.1--4.7, 9.1--9.6.
Section 4: Systems of Differential Equations. (9 lectures: 6 hrs 26 min).

Lecture notes. 26 pages, last updated 10/20/10. Brannan/Boyce: Sections 3.1--3.6, A.1.
Section 5: Laplace Transforms. (6 lectures: 3 hrs 52 min).

Lecture notes. 21 pages, last updated 6/24/13. Brannan/Boyce: Sections 5.1--5.8.
Section 6: Fourier Series & Boundary Value Problems. (6 lectures: 3 hrs 28 min).

Lecture notes. 13 pages, last updated 12/9/11. Brannan/Boyce: Sections 10.1--10.3. Section 7: Partial Differential Equations. (8 lectures: 4 hrs 3 min).

Lecture notes. 23 pages, last updated 7/29/10. Brannan/Boyce: Sections 11.1--11.4, 11.6, 11.A, 11.B
Section 8: Systems of Nonlinear Differential Equations. (3 lectures: 2 hrs 7 min).

Lecture notes. 14 pages, last updated 12/3/15. Brannan/Boyce: Sections 7.2--4, 7.P.1