M635 PATTERN FORMATION

SYLLABUS

POLICIES

ASSIGNMENTS

FINAL PROJECTS

COURSE MATERIAL


       M635 Pattern Formation / Assignments


No.
Topic
Section/Problems
Due Date
2 PM On each day
(No late homework)
  Course Overview Power Point Presentation Pattern Formation
1. Introduction to MATLAB Matlab Tutorial. Type in all instructions in Matlab (follow the entire tutorial) and submit to me by email a diary of it (to do the diary: do "diary FirstName_LastName_M638.txt" as the first instruction and this will save all your inputs in that file Thursday, January 31
  MATLAB demo patterns.m  
  Lecture Notes: August 31, 2017 08_31_2017.pdf  
2.

Review of article: Emergence and Evolution of Patterns

Download ( pdf )

Tuesday, February 12
( guidelines )

  Lecture Notes: September 5, 2017 09_05_2017.pdf  
  Lecture Notes: Sep 7, 2017 09_07_2017.pdf  
3.
 Stability Analysis - PDE Approach Download ( pdf )
Paper
bessel.m Thursday, February 21 
 
 Lecture Notes: September 12, 2017

09_12_2017.pdf



  Lecture Notes: September 14, 2017 09_14_2017.pdf  
  Lecture Notes: September 19, 2017 09_19_2017.pdf  
4. Bifurcation Theory 2.1: (a), (b), (d),
2.2: (a), (c),
2.3
2.4		 Thursday, March 7
  Lecture Notes: September 21, 2017 09_21_2017.pdf  
  Lecture Notes: September 26, 2017 09_26_2017.pdf  
  Lecture Notes: September 28, 2017 09_28_2017.pdf  
5.
 Group Theory
3.2
3.4
3.5
3.6
3.7
3.8
3.9


Tuesday, March 19
  Lecture Notes: October 3, 2017 10_03_2017.pdf  
  Lecture Notes: October 5, 2017 10_05_2017.pdf  
  Lecture Notes: October 10, 2017 10_10_2017.pdf  
  Lecture Notes: October 12, 2017 10_12_2017.pdf  
  Lecture Notes: October 17, 2017 10_17_2017.pdf  
  Lecture Notes: October 19, 2017 10_19_2017.pdf  
  Lecture Notes: October 26, 2017 10_26_2017.pdf  
6.
 Bifurcations with Symmetry 4.1
4.3
4.5


Thursday, March 28
  Lecture Notes: October 31, 2017 10_31_2017.pdf  
  Lecture Notes: November 2, 2017 11_02_2017.pdf  
  Lecture Notes: November 7, 2017 11_07_2017.pdf  
  Lecture Notes: November 09, 2017 11_09_2017.pdf  
  Lecture Notes: November 14, 2017 11_14_2017.pdf  
  Lecture Notes: November 16, 2017 11_16_2017.pdf  
  Lecture Notes: November 21, 2017 11_21_2017.pdf  
  Lecture Notes: November 28, 2017 11_28_2017.pdf  
  Lecture Notes: November 30, 2017 11_30_2017.pdf  
 
Midterm Exam

 

Download (Midterm_S19.pdf )

Due: Thursday, April 11


7.
 (20 Pts) Choose Final Project  
Tuesday, April 16
 
FINAL PROJECT
   
  Presentations   T TH May 7 and 9
  Written Report   T May 14



Milk Splash