#
Course Webpage

Differential Equations

MATH 222, Spring Semester 2016

Course Coordinator: Prof. Y.-N. Young

### Meets: Check the NJIT registrar's office

### Course Description:

Course description:
A pdf for course syllabus

### MatLab Tutorial for Beginners:

pdf for matlab tutorial

MatLab Tutorial Hours

### Supplementary Materials:

1st pdf for teaching supplementary

2nd pdf for teaching supplementary

### More Matlab tools from Peter Petropoulos:

Note that if Matlab2015a does not work, please use Matlab2014b.

dfield8.m (for MATLAB 2014 version) to create direction field for 1st order ODE

dfield8.m (for MATLAB 2015 version) to creat direction field for 1st order ODE

dfield.jar (Jarva code) to create direction field for 1st order ODE

odesolve.m to solve ode's

pplane8.m to create direction field for higher order ODE

pplane.jar (Jarva code) to create direction field for higher order ODE

dfield.pdf a tutorial to use dfield8.m

For more details on the Java versions of dfield and pplane, go to this web page
### 1st MATLAB assignment, due in class during the week of February 22:

Here is a pdf of the 1st Matlab
assignment

### Solutions to 1st MATLAB assignment:

main MATLAB code
function for right hand side
Problem 1(a)
Problem 2, y0 = 0.5
Problem 2, y0 = 1.0

### Video tutorial for using dfield8.m:

A pdf for the example in the video
tutorial

A video tutorial (mov file) for
dfield8.m

Questions? Email
Yuan N. Young
at
yyoung@njit.edu

####

### Assigned Homework

First homework problem set, due in class in the week of Jan 29, 2016
Solutions for Homework #1

Second homework problem set, due in class in the week of Feb 5, 2016
Solutions for Homework #2

Third homework problem set, due in class in the week of Feb 12, 2016
Solutions for Homework #3

Fourth homework problem set, due in class in the week of Feb 19, 2016
Solutions for Homework #4

Fifth homework problem set, due in class in the week of March 4th, 2016
Solutions for Homework #5

Sixth homework problem set, due in class in the week of March 11th, 2016
Solutions for Homework #6

Seventh homework (Chapter 5)
Solutions for Homework #7

Eigth homework (Chapter 6)
Solutions for Homework #8

Ninth homework (Chapter 7)
Solutions for Homework #9

Tenth homework (Chapter 10)
Solutions for Homework #10

####

### Weekly Quiz

Quiz 1
MATH222-004,
MATH222-006,

Quiz 2
MATH222-004,
MATH222-006,

Quiz 3
MATH222-004,
MATH222-006,

Quiz in the week of Feb 29
MATH222-006

Quiz on March 7
MATH222-006

Quiz on April 8
MATH222-006

### Final Exam on May 6th!!!

Linear system of first order differential equation (2 by 2)
Fourier series of a periodic function
Boundary value problem, eigenvalues and eigenfunctions
First order IVP, including mixing problems (there will be a modeling
problem on mixing)
Second order linear differential equation with constant coefficients,
reduction of order
Second order linear nonhomogeneous differential equation
Power series solution
Laplace transform in solving linear second order nonhomogeneous IVP

### Materials For Exam Preparations

Grading guidelines for Exam 1, Feb 2016
Grading guidelines for Exam 2, Mar 2016
Grading guidelines for Exam 3, April 2016
Exam 2 from March 2014
Exam 2 from October 2015
Exam 3 from April 2014
Exam 3 from November 2015
more Exam from 2012 and 2015
Final Exam Dec 2015, Solutions to Final Exam Dec 2015
Solutions for Final Exam
Dec 2007 from Hatim Nomani
Solutions for Final Exam
May 2005 from Ramon Salvador
Solutions for Final Exam
Dec 2004 from Vincent Porcelli