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Math 214 Section 001 Fall '10

Prerequisites: MATH 213 or 215
Lectures: MWF 11:30-12:20pm Science and Technology I, Room 129
Recitations: MWF 12:30-1:20pm rooms vary
Webpage: http://math.gmu.edu/memelian/teaching/Fall10/math214
                 
Instructor: Maria Emelianenko
Email: memelian @ gmu.edu
Office: 226A Science and Tech I
Office hours: TR 10am-12pm


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


Announcements
[08/16/10]  Welcome! Our first meeting is on Monday, Aug. 30. 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!

[09/08/10]  Office hours this Thursday are moved to 10am-12pm.

[09/20/10]  Office hours this Tuesday Sept 21 are moved to 10am-12pm.

[09/22/10]  New time for the office hours the rest of the semester is TR 10am-12pm.

[09/29/10]  Practice tests have been posted in the Supplementary Materials section on Blackboard.

[10/25/10]  There will be no office hours tomorrow, Tuesday Oct 26 due to a workshop.

[10/29/10]  Homework 8 had wrong chapters - it should have had Chapters 3.4, 3.5 instead of 3.5, 3.6. Corrected version has been posted.

[12/03/10]  Final Exam is going to be Fri. 12/17, in the same room at 10:30 am - 1:15 pm. Practice exams are available at Blackboard and we will have 2 review sessions in class on Wed and Friday, Dec 8 and 10.
Homework
Lecture notes will be posted here as the course progresses.
Reading assignments and selected homework problems will follow our main text: "Elementary Differential Equations" by Boyce and DiPrima, 9th edition, Wiley.

[08/30/10] Homework 1 has been posted, due on Wed Sept 8

[09/08/10] Homework 2 has been posted, due on Wed Sept 15

[09/15/10] Homework 3 has been posted, due on Wed Sept 22

[09/15/10] Homework 4 has been posted, due on Wed Sept 29

[09/29/10] Homework 5 has been posted, due on Wed Oct 6

[10/06/10] Homework 6 has been posted, due on Mon Oct 18

[10/18/10] Homework 7 has been posted, due on Mon Oct 25

[10/25/10] Homework 8 has been posted, due on Mon Nov 1

[11/01/10] Homework 9 has been posted, due on Mon Nov 8

[11/08/10] Homework 10 has been posted, due on Mon Nov 15

[11/08/10] Homework 11 has been posted, due on Mon Dec 6

Assessment
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 (Oct. 8, in class): 25%
- Midterm II (Nov. 19, in class): 25%
- Final exam (Fri. 12/17 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 [08/30/10]
Chapter 1.1
 [09/01/10]
Chapter 1.2
 [09/03/10]
Chapter 1.2
2 [09/06/10]
Labor day - no class
 [09/08/10]
Chapters 1.3, 2.1
HW1 due    [HW1 solution]
Quiz 1
 [09/10/10]
Chapters 2.1, 2.2
Quiz 2 online
3 [09/13/10]
Chapter 2.2
   [Quiz2 solution]
 [09/15/10]
Chapter 2.3
HW2 due    [HW2 solution]
 [09/17/10]
Chapters 2.2, 2.3
Quiz 3
4 [09/20/10]
Chapter 2.3
 [09/22/10]
Chapter 2.3
HW3 due    [HW3 solution]
 [09/24/10]
Chapter 2.4
Quiz 4
5 [09/27/10]
Chapter 2.5
 [09/29/10]
Chapters 2.5, 3.1
HW4 due    [HW4 solution]
 [10/01/10]
Chapter 3.1
Quiz 5
6 [10/04/10]
Chapter 3.2
 [10/06/10]
Midterm I Review
HW5 due    [HW5 solution]
 [10/08/08]
Midterm Exam I
7 [10/11/10]
Columbus Day break - no class
Class meets Tuesday Oct 12, Chapter 3.2
[10/13/10]
Chapter 3.3
Exam I results and solutions
 [10/15/10]
Chapter 3.3
Quiz 6 online
8 [10/18/10]
HW6 due    [HW6 solution]
Chapter 3.3 		[10/20/10]
Chapter 3.4
 [10/22/10]
Quiz 7
Chapter 3.4
9 [10/25/10]
HW7 due    [HW7 solution]
Chapter 3.5
 [10/27/10]
Chapter 3.6
 [10/29/08]
Quiz 8
Chapter 3.7
10 [11/01/10]
HW8 due    [HW8 solution]
Chapter 3.8
 [11/03/10]
Chapter 3.9
 [11/05/10]
Quiz 9
Chapter 3.9
11 [11/08/10]
HW9 due    [HW9 solution]
Chapter 6.1
 [11/10/10]
Chapter 6.2
 [11/12/10]
Quiz 10
Chapter 6.3
12 [11/15/10]
HW10 due    [HW10 solution]
Chapter 6.4
 [11/17/10]
Chapter 6.5
Midterm II Review
 [11/19/10]
Midterm Exam II
13 [11/22/10]
Chapter 6.5
 [11/24/10]
Thanksgiving break - no class
 [11/26/10]
Thanksgiving break - no class
14 [11/29/10]
Chapters 6.4,6.5
 [12/01/10]
Chapter 7.1
 [12/03/10]
Quiz 11
Chapter 7.4
15 [12/06/10]
HW12 due    [HW12 solution]
Chapter 7.5 		[12/08/10]
Final Review
 [12/10/10]
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.
About MATLAB
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: http://math.gmu.edu/introtomatlab.htm
- 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 (calculus.net 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