Topics in Applied Analysis (MATH 429)

Spring 2018 course website

Lectures: 4:00pm-5:15pm, MW, in DMSC 315 (map)    
Scheduled Final: 2:30 - 4:30 pm, Monday 14 May 2018. (PDF of Spring 2018 Finals Schedule; UNR Academic Calendar).
Syllabus: Click here to download (PDF).

Office Hours: MW 1-2pm, Th 12:30-1:30pm, or by appointment, in 220 DMSC.

Textbooks: Nonlinear Dynamics and Chaos (2nd) by Steve Strogatz.
WebCampus will be used for this course:

Software Resources

See my instructions for installing R and LaTeX software.

LaTeX: Use TeXStudio if you don't have a preferred editor. Want to use the cloud instead? Use R: Install R, then RStudio. Also, see my R page and to get started using R. Maxima: A free alternative to Maple for symbolic computations. Download Maxima or the slightly more user friendly version (preferred) wxMaxima. Resources to get started with Maxima: Instant Maxima (PDF) by Steve Ellner. Also, see Richard H. Rand's Introduction to Maxima, or see the Maxima website.

(You may also want to get familiar with software like Matlab, Mathematica, SAS, ArcGIS, etc. available through UNR Remote Services).

Homework Templates: Want to turn in homework that looks like this PDF? Download this zip file and open the TeX document in TeXStudio, or the *.Rnw file in RStudio.

Tentative Schedule

Week Monday Wednesday Homework & Notes
1: 1/22-1/26 Syllabus;
Introduction & overview
Motivation for studying Dynamic Models (Ch.1 ) Reading: Ch. 1
2: 1/29-2/2 1D Flows (Ch 2) 1D Flows (cont'd)
3: 2/5-2/9 Bifurcations Bifurcations Reading: Ch. 2
4: 2/12-2/16 Software & Numerical Solutions Equilibrium Stability Analysis in higher dimensions Homework 1 (due Fri, 16 Feb 2018): hw1.pdf [hw1.tex]
5: 2/19-2/23
6: 2/26-3/2
7: 3/5-3/9 RM.wxmx
8: 3/12-3/16 Routh-Hurwitz-Ch4.5.pdf and 4d-routh-hurwitz-example.wxmx
10: 3/26-3/30
11: 4/2-4/6
12: 4/9-4/13
13: 4/16-4/20
14: 4/23-4/27
15: 4/30-5/4 logistic-bifn-cascade.R
16: 5/7-5/11 Prep Day Scheduled Final: Monday, May 14, 2:30 - 4:30 pm in DMSC 315