Math 2080 (online), Summer Session II, 2016

# Math 2080 (online), Summer Session II, 2016

Class: Introduction to Ordinary Differential Equations.

Instructor: Dr. Macauley

## Lectures

Links to the individual lectures are listed below. Or, you can view the full YouTube playlist 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.

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. (8 lectures: 5 hrs 29 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