MA302: Numerical Applications to Differential Equations

Instructor: Zhilin Li ,                                                                        T.A.:  Gregory   Hicks

Office Hours: M T TH. 11:10am-12:10pm HA316              Office Hours:  M W  2:00-3:00pm, WI 300

Tel: 515-3210                                                                                     Tel:

E-mail:  <zhilin@eos.ncsu.edu>                                                E-mail:  <gphicks@eos.ncsu.edu>
 

Grading:          COURSE GRADE               Course Outline

    Class participation and attendance (15%).

    Homework (65%).

    A final project (20%).

 Office Hours

• Class 11/30: Class practice and close statements.

 
• Final Project and Report Form

 
• MA302 Summaries

 
• Class 11/23, Stiffness system II:  A movie.  Download  mymovie.m and chemistry.m.

 
• Class 11/16, Stiffness System and Chemical reactions.   Download chem.m and chem_drive.m.

 
• Class 11/2: Class Practice 3,  continued.  Download prey_prd and lesson9_10.m;   yprft.m and lesson10.m

 
• Steps for solving          y' = f(t,y),   y(0) = y0:

 
1. Write a Matlab function to define f(t,y), see  format_f.m  or  yprf.m

2  Write a Matlab function to input the data, call ode45 or other solver, plot the solutions, see  lesson9.m    for example. The file looks something like
 

clear all; close all
global a b c d
a = 1.5; b=0.5; c=0.2; d=3;
k = 3;  yt = 1 +  0.532156299*k;
t0 = 0;  tfinal=50; y0=[ 1  yt];
[t  y ] = ode45('yprf',[t0,tfinal], y0);
y1 = y(:,1); y2=y(:,2); plot(t,y1,t,y2);
figure(2); plot(y1,y1)                            % Phase plot
You can save the file in a file, see myhw.m. In Matlab, you just type
 
   >> myhw
 
3. Label and analyze the plot(s).
 
 
• Class 10/26: Class Practice 3.

 
• Class 10/19:  Down-load the Matlab file  lesson9.m  and  yprf.m.

 
• Class discipline will be enforced.  Absence, late arrival, and early departure will affect your grade. You should sit in your fixed seat. If you need to change the seat, make sure to let the TA know.

Summaries

Text (R. White's Notes)	Lecture Notes (Fall 1998, Z. Li)
Runge Kutta Methods      PDF file	ODE System

Matlab Code

Computer Help Desk and Packages

Computer Survival Guide

HW#7 (Homework and Report Form)

HW#6, Lesson 9, (Homework and Report Form)

HW#5, Lesson 8, (Homework and Report Form)

 

Class Practice (9/7)

 

How to start Homework for Lesson 3?

 

Frequently asked questions and answers.

 

What should you be able to do after the first class?