MATH 485-001 - Spring 2011 - Assignments

• Due Tuesday, January 18th: Read the list of proposed modeling projects. Then fill out the form for Student Profile. This information is collected in order to make teams that are as diverse as possible. Teams will be finalized and will be posted on the Web Wednesday, January 19th. This is your first class assigmnet. You either earn full credit by returning the form on Janurary. 18th or receive no credit if you do not.



• Due Tuesday, Feb. 1st: Number 1, 2, 3, 4, 5 6, 7, 9 of the homework problems at the end of my Notes on the N-Body Problem.
• First quiz on Tuesday Feb. 1st.
  
  Modelling Projects: In next two weeks, (before Feb 4th) are the time for the initial selecting process. You are supposed to take the reference list of the initial paper(s) listed as a starting point to branch out to read other papers on the same subject. Then you should pick one paper among the ones you have looked (not necessarily the initial one(s) given).
  You better take notes on the contents of each paper you read and on why you decided to work with the particular one you chose. You will need these notes in preparing you final report.
  The first part of your final report will be a detialed description of this selection process: You should report how many paper you read collectively, the rough contents of each of the papers, and your reason to pick the particular paper to work. Roughly every group should read a total number anywhere between 8-10 papers.
  The next phase of the project is for you to try to fully understand the contents of the paper of your selection (in about two weeks) and to reproduce the results of the paper (in another two weeks or so).



• Due Thurday, Feb. 15th:
(1) page 15, number 1, 3, 4, 5.
(2) Test the simulation program LaOla.m following the suggestions in section 5 (pages 12-14). Print out five snapshots of your simulation results. You can down load the programs LaOla.m and LaOla.fig (you need both) from
http://www.math.arizona.edu/~dwang/485home-10/program.html
(3) page 33-38, number 5, 9, 10(1), 10(5), 16, 20, 22.

• Second quiz on Tuesday Feb. 15th.
  
  
• Due Tuesday March 1st:
(1) problem (a), (b), (c) at the end of My Lecture Notes on Shaking Pendulum.
(2) page 35-36, nmber 12, 15.
(3) page 51-52, number 2, 3, 4.

• Third Quiz on Tuesday, March 1st.
  
  
• Due Thursday March 10th:
(1) pages 69-73, number 1, 2, 3, 5, 6, 14
(2) page 84, number 1, 3, 4.


• Fourth Quiz on Thursday, March 10th.
  
  
  
  Presentation starts on Tuesday, March 22nd.
  
  (Location of Presentations: Math 101)
  
  
• Presentation on Thursday, March 22th. Group II, Traffic Flow


• Presentation on Tuesday, March 24th. Group I, Predator-Prey


• Presentation on Tuesday, March 29th. Group VI, Competing Species


• Presentation on Thursday, March 31th. Group III, Pathogen Mutation


• Presentation on Tuesday, April 5th. Group IV, Tumor Growth


• Presentation on Tuesday, April 7th. Group VII, Spreading of Epidemics


• Presentation on Tuesday, April 12th. Group IIX, Neural Networks


• Presentation on Tuesday, April 14th. Group V, Competing Languages





• Midterm project report: Due by the next class time after presentation


Midterm report should contain the following sections: (I) A list of the papers the entire group read collectively and their contents, and the reasons for your group to choice the particular one. (II) The over all contents of the paper chosen, and its main conclusions. (III) Detailed description of the model and its anslysis. (IV) Reproduction of diagrams and simulation results of the paper. (V) Appendices, such as programs, diagrams, etc, you think worth of submit. (VI) You also need to provided a list of references. (I)-(IV) should be in total 8-10 pages (12pts., double space)



• Due On Tuesday, April 19:
(1) Read Chapter 7 of the Class Notes;
(2) page 94: number 1, 2, 3, 4.


• Due Tuesday May 3rd:
(1) problems 1, 2, 3, 5, 6 at the end of My Lecture Notes on 1D dynamics.
(2) page 107, number 1, 2, 5


• Fifth Quiz on Tuesday, May 3rd.
  
  
• Poster CD due by Midnight, Tuesday, May 3th


• Final project report due on Thursday May 11th.


• Poster session: Friday, May 11th, 4:00-5:00. Location: Hallway of math east