Math 214 Section 002 Spring '11

Prerequisites: MATH 213 or 215
Lectures: TR 10:30 am - 11:45 am, East 201
Recitations: TA Sam Mendelson (smendels @
304: F 10:30-11:20am S&T I, room 122
Instructor: Maria Emelianenko
Email: memelian @
Office: 226A Science and Tech I
Office hours: TR 4-5pm

 Site contents:  Syllabus  Matlab  Announcements  Homework  Schedule  Links  Help info  Anonymous Feedback Form

[01/16/11]  Welcome! Our first meeting is on Tuesday Jan 25. The textbook we are going to use is "Elementary Differential Equations" by Boyce and DiPrima, 9th edition.
If you have time, please try to familiarize yourself with the material by reading the introduction and prepare for the fruitful work this semester. Hope it will be an enjoyable one!

[01/26/11]  Quiz 1 is this Friday during recitation session - it includes one problem on direction fields and separation of variables and some calculus related questions. Homework 1 has been posted.

[01/27/11]  There is no class today due to the weather. There will also be no quiz this Friday.

[02/09/11]  Quiz 2 is online - available Friday morning to midnight on Sunday. Please make sure you can access it and don't procrastinate.

[02/18/11]  Quiz 3 is online - available Friday morning to midnight on Sunday.

[02/24/11]  Quiz 4 is during recitation this Friday.

[03/24/11]  Quiz 5 is during recitation this Friday.

[03/31/11]  Quiz 6 is during recitation this Friday.

Lecture notes
Homework sets and solutions will be posted at Blackboard only!
Reading assignments and selected homework problems will follow our main text: "Elementary Differential Equations" by Boyce and DiPrima, 9th edition, Wiley. Lecture notes will be posted here and on Blackboard.

Lecture 1 (Tue Jan 25)

Lecture 2 (Tue Feb 1)

Lecture 3 (Thr Feb 3)

Lecture 4 (Tue Feb 8)

Lecture 5 (Thr Feb 10)

Lecture 6 (Tue Feb 15)

Lecture 7 (Thr Feb 17)

Lecture 8 (Tue Feb 22)

Lecture 9 (Thr Feb 24)

Lecture 10 (Thr March 10)

Lecture 11 (Thr March 22)

Lecture 12 (Thr March 24)

Lecture 13 (Thr March 29)

Lecture 14 (Thr March 31)

Lecture 15 (Thr April 5)

Lecture 16 (Thr April 7)

Lecture 17 (Thr April 12)

Lecture 18 (Thr April 14)

Lecture 19 (Thr April 26)

Lecture 20 (Thr April 28)

Lecture 21 (Thr May 3)

Lecture 22 (Thr May 5)

Your grade in this course will depend on your performance on two written in-class midterm exams, weekly quizzes given during recitation sessions and a comprehensive final. Tentative weight of assessment components:
- Midterm I (March 3, in class): 25%
- Midterm II (April 21, in class): 25%
- Final exam (Thurs. May 12, 10:30 am-1:15 pm): 25%
- Quizzes: 15%
- Participation: 10%

Letter grade will be determined as follows:
Score above 90% 80% 70% 60% otherwise
Letter grade A B C D F

Weekly practice problems will be given that will not count towards the final grade, unless specifically noted. I strongly encourage all participants to do these exercises in order to gain the necessary grasp of the material and perform well on exams and graded assingments. I will discuss solutions in class every week.
I expect all class participants to abide to the rules and regulations specified in the official GMU Honor code.

Tentative schedule
  Adobe reader needed to view .pdf files is available here

Please note that this schedule is subject to change. Make sure you check this site frequently for updates.

1 [01/25/11]
Chapter 1.1, 1.2
no class
2 [02/01/11]
Chapters 1.2
HW1 due    [HW1 solution]
Chapters 1.3, 2.1
Quiz 1
3 [02/08/11]
Chapters 2.1, 2.2
HW2 due    [HW2 solution]
Chapters 2.2, 2.3
Quiz 2
4 [02/15/11]
Chapter 2.3
HW3 due    [HW3 solution]
Chapter 2.4
Quiz 3
5 [02/22/11]
Chapter 2.5
HW4 due    [HW4 solution]
Chapters 2.5, 3.1
Quiz 4
6 [03/01/11]
HW5 due    [HW5 solution]
Midterm I Review
Midterm Exam I
7 [03/08/11]
Chapter 3.2
HW6 due    [HW6 solution]
Chapters 3.3, 3.4
8 [03/15/11]
Spring break - no class
Spring break - no class
9 [03/22/11]
HW7 due    [HW7 solution]
Chapter 3.5
Quiz 5
Chapter 3.6
10 [03/29/11]
HW8 due    [HW8 solution]
Chapter 3.8
Quiz 6
Chapter 3.9
11 [04/05/11]
HW9 due    [HW9 solution]
Chapter 6.1
Quiz 7
Chapter 6.2
12 [04/12/11]
HW10 due    [HW10 solution]
Chapter 6.3
Quiz 8
Chapter 6.4
13 [04/19/11]
HW11 due    [HW11 solution]
Midterm II Review
Midterm Exam II
14 [04/26/11]


15 [05/03/11]
HW12 due    [HW12 solution]
Final Review
Help info and contacts
If you are looking for help, these are some of your options:
  • Try coming to my office hours.
  • If you have conflict with my office hours, talk to me after class or email me, I'll try to make an appointment for you at a different time.
  • Additional help is available in the Mathematics Tutoring Center, located in the Johnson Center room 344. Hours are posted on the Tutoring Center website.
If you have concerns or suggestions that you'd rather leave anonymous, please use the anonymous feedback form. I need to know what you think in order to make the learning process effective, so any feedback is valuable to me.

MATLAB is an interactive programming language for general scientific and technical computation with powerful graphics and library functions. We will be using MATLAB environment for some homework problems towards the end of the semester and I expect you to be able to get access to it. Here is some relevant information.
- Some guidelines for accessing and using MATLAB are available here:
- A standalone student version of the product is available from Mathworks website for a reasonable price.

Some MATLAB tutorials you might want to read:
Useful links
Every now and then I find interesting information on the web or in press. I'll be putting this stuff here, since it could help some of you to refresh things you might have forgotten or to aid with the general understanding of the course. If you find something useful yourself, please let me know, I'll be really happy to expand this list with your suggestions.

Basic math reference resources:
Partial fractions tutorial
Integration tutorial
Partial derivative examples
A concise Integral Table from Mathwords
Calculus review - formulae you have to remember!
Huge collection of Math related info at Wolfram Mathworld

Software tools available online:
ODE Software: powerful Dfield and PPlane Matlab tools (read instructions!)
DFDEMO: Direction field Java applet
One more direction field Java applet
Phase portrait generator (applet by Prof. Mansfield, PSU)
Studying ODE (applets for dir. fields, solving systems and more, by M. Rychlik)
Differential Equations and Initial Value Problems, applet
Systems of ODEs, applet
ODE solver Solutia (script for solving DE in standard form)

Course notes from different sources
ODE modules from Duke Univ. (TRY THESE!)
S.O.S. Math - nice short Differential Equations course online
S.O.S. Mathematics - CyberExam - sample exams online
Nagle's ODE book: Interactive Differential Equations supplement
1st Order ODEs (nice introductory notes by I. Blank, in .ps format)
Differential Equations Notes (good notes w/lots of examples by B. Ikenaga, in .ps format)
GATech DE course (great notes, by Jason Metcalfe)

Miscellaneous links
You might need to install current version of Ghostview to be able to view .ps files!

ODE Lecture Notes (handwritten notes, more advanced material, by M. Pemberton)
Advanced Differential Equations (extended source of notes on DE by S. Newhouse, in .ps format)
ODE course for Engineers (nice application examples, by J.R. White)
ODE notes (in .pdf, by Peter Wolenski, LSU)
Numerical Solution of ODEs (CSEP electronic book)
Numerical Solution of ODEs (Advanced course on theory of ODE, .ps file)
Numerical Methods (S. Dalziel)
Partial Differential Equations Notes (html notes on PDEs by A. Hood)
Course Notes: ODE, PDE etc (J. Labute at McGill, in .pdf)
Topics in Calculus (has some ODE notes too, by L. Lady)
ODE Notes and Exercises (Maple-based exercises, by P. Monk)
ODE course: lectures, problem sets, exams etc (by J.N. Kutz, U. Wash)
ODE Exams, Worksheets, ... (R.L. Devaney)
Mathematical Notes (.pdf notes on ODE by M. Malek, more theoretical)
PDE & Vector Calculus Lecture Notes (by W. Zakrzewski, Durham UK)
Complex Analysis and Differential Equations (by S.G. Rajeev, Rochester)
Difference Equations to Differential Equations (D. Sloughter)
Linear Methods ... (E.M. Harrell, J.V. Herod)
Hilbert Space Methods for PDEs (R.E. Showalter)
Topics in Integral and Differential Calculus (T. Kawasaki)
ODE Projects (A.C. Heinricher)
Maple Worksheet Repository
Graphical Tools (applets)
Taylor polynomial applets:   1, 2, 3, 4
Java Examples etc. (J. Feldman)
Damped Harmonic Motion, applet
Interactive Math Programs (calculus and DE applets from Dartmouth)
Kepler's Laws, applet
Fourier Synthesis, applet
The Lorenz Equations, applet
Nonlinear Klein-Gordon wave equation (applet by Paul Garrett)
Heat equation, applet
Java calculus, applets
MathServ DE Toolkit
Math Archives: ODEs, PDEs
Math Forum - Differential Equations (notes, problems, puzzles, discussions etc)
Differential Equations and more ( project)
ODE Project at BU
Sampler of applets (performance analysis, by Paul Garrett, UMN)
Famous Curves Applet Index (spirals, involutes and more)
Math Reference Tables