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