# Differential Equations and Analysis of Nonlinear Systems for Engineering and the Sciences

 Instructor: Plamen Stefanov Time and Place: TTh at 12:00 - 1:15 in REC 307 Office Hours: click here Grader: Wei Deng: deng106 at you know what Dept Web Page here, not much info there Book: Boyce and DiPrima, Elementary Differential Equations and Boundary Value Problems, Wiley, 10th edition (not the newer edition!). WebAssign provides an e-book.

### Course Outline (may change a bit)

 5.1 - 5.4 Power Series Solutions 7.1 - 7.9 Linear Systems of ODEs 9.1 - 9.5 Nonlinear Systems of ODEs 10.1 - 10.8 Elementary PDEs and Fourier Series 8.1-8.3 Numerical Methods 11.1-11.3-4-5 Boundary Value Problems

Login here to run Matlab and Maple remotely. For Maple, go to Standard Software -> Computational Packages

Or, use the web applet version.

### Announcements

Maple spreadsheet for power series solutions near a regular point. With IE, right-click and save it. IE would change the extension to *.xml for some reason. Change it to *.mw which is the Maple extension.

Lecture Notes for 7.1 - 7.5 (only).

Typical phase portraits (low resolution but readable).

EXAM 1: Thu 09/21, 6:30 - 7:30pm WTHR 104   You can use one sheet of notes, both sides    Covers 5.1-5.4 and 7.1-7.6 without 7.4.    Old Exams

EXAM 2: Thu 10/12 6:30-7:30pm BRNG 2280    You can use one sheet of notes, both sides    Covers 7.7-7.9 and 9.1-9.3.

EXAM 3: Wed 11/15 6:30-7:30pm BRNG 2280    You can use one sheet of notes, both sides

No class on Tuesday, 10/17 (to compensate for one of the exams).

Homework (WebAssign and/or handwritten)

Week Due WebAssign Handwritten Problems from the book
2 8/29, Tue 5.1, 5.2 none
3 9/5, Tue 5.3, 5.4 5.4: #40
also, the problem I started in class: make the substitution x=e^t in Euler's equation to derive a formula for the solution for each of the three cases (for x>0).
4 9/12, Tue 7.1-7.3 none
5 9/19, Tue 7.4, 7.5, 7.6 None. Read 7.4.
6 9/26, Tue 7.7 (and 7.1 again) none
7 10/3/2017 7.8, 7.9 none
8 10/11, Wed 9.1-9.3 none
9 no HW this week   none
10 10/24, Tue 9.4 none
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last updated Oct-17, 07:40 PM