Math 113 Section 004 Spring '11

Prerequisites: Successful completion of Math Placement Test, or a grade of C or better in MATH 105
Lectures: TR 12:30 pm - 2:20 pm TR Science Technology I room 129
Recitations: TA Jonathan Bode (jbode @
309: W 11:30-12:20pm Robinson B102
310: W 12:30-1:20pm Robinson B102
311: W 1:30-2:20pm Robinson B105
Instructor: Maria Emelianenko
Email: memelian @
Office: 226A Science and Tech I
Office hours: TBA

 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 Calculus: Early Transcendentals, by Briggs and Cochran, 2011.
If you have time, please try to familiarize yourself with the material by reading the introduction and prepare for the fruitful work this semester.

We will be using Blackboard website as well as the iClicker technology. We will be making use of online software MyMathLab associated with the textbook. Access to this software is at an additional cost above the textbook cost and so is not required. However, those that do purchase this will have access to online practice homework, quizzes and exams. If you do purchase the software, then once you register it, you can enroll in the course using CourseID: emelianenko37078.

You must have your registered i>clicker with you at all lectures in order to answer the in class questions. You must have come to class at least once and voted on at least one question in order to complete the registration properly. See the online PDF handout on how to register your i>clicker.

[01/27/11] There is no class today due to snow. Please bring your i>clickers to class next Tuesday, Feb 1! First quiz is scheduled for Wed Feb 2.

[02/09/11] Quiz 2 is available online at Blackboard till midnight on Friday Feb 11. Please make sure you can access it and do not procrastinate! I incorrectly stated the date of the 1st Midterm in class - it is going to be held next week, Feb 17, in class.

[02/18/11]  Midterm I will be returned in class on Thursday, Feb 24. Solutions set has been posted online on Blackboard.

Homework and quizzes
Selected handouts and lecture notes will be posted here as the course progresses.
Reading assignments and selected homework problems will follow our main text and will be available on MyMathLab.

Suggested Homework Problems
(1.1): 1-10,11,12,13,15,21,23,25,27,29,31,33,45,55
(1.2): 5-10,11,12,13,15,17,19,30,56
(1.3): 1-10,11,13,15,17,18,20,23,25,27,29,31,32,33-36,41,43,45,60,67
(1.4): 1-14,15,16,17,35,36,37,41-44,74,75
(2.1): 1-6,7,11
(2.2): 1-6,7,10,19,24
(2.3): 1-10,11,17,21,23,27,34,37,43,44,51,64
(2.4): 1-6,7,10,15,23,25,36
(2.5): 1-8,9,11,13,15,21,23,25,27,31,32,34,38,40,43,53
(2.6): 1-8,9,12,13,15,16,23,33,35,51,81
(2.7): 1-8,9,10,19,21,33
(3.1): 1-10,11,12,13,15,17,18,19,23,29,33,41,53,72
(3.2): 1-6,7,8,9,16,17,18,19,21,23,25,35,36,39,42,43,47,50,51,67
(3.3): 1-6,7,8,10,13,14,17,18,21,23,27,29,31,33,49,50,54,55,62
(3.4): 1-6,7,8,9,10,15,17,19,21,37,38,44,45,51,56,60
(3.5): 1-6,9,11,12,20,27
(3.6): 1-6,7,8,12,14,17,19,20,21,22,29,31,48,49
(3.7): 1-4,5,7,8,11,12,16,21,22,27,28,33,35
(3.8): 1-8,9,11,12,13,17,18,19,24,26,27,28,33,37,41,45,47,51,55,59,60
(3.9): 1-6,7-12,13,14,29,31,32,35,36
(3.10): 1-4,5,9,10,16,17,21
(4.1): 1-10,11,12,13,14,15,16,17,18,19,20,23,24,25,31,32,33,45
(4.2): 1-10,11,12,15,16,17,18,19,31,32,33,43,44,47,49,57,59,67,68
(4.3): 1-6,7,9,10,15,17
(4.4): 1-4,5,6,10,12,13,25
(4.5): 1-6,7,8,9
(4.6): 1-6,7,8,13,15,17,21,28,29,30
(4.7): 1-12,13,15,17,19,25,27,32,37,39,40,49,50,53,65,67,68
(4.8): 1-10,11-18,19-22,27,29,31,39,42,43,44,46,67,76,77
(5.1): 1-8,9,15,16,17,18,32,33,34,59
(5.2): 1-10,11,23,24,25,31-34,39,65,70,72
(5.3): 1-10,11,13,19,23,24,25,26,31-33,51,52,53,55,57
(5.4): 1-6,7,9,11,19,20
(5.5): 1-8,9-12,13-16,17,19,21,23,25,35-38,51

Quizzes will be given every week during recitation sessions.
Tentative quiz schedule:
QUIZ 1: 1.1,1.2,1.3 (Wed. 2/2)
QUIZ 2: 1.4,2,1,2.2,2.3 (Wed. 2/9)
QUIZ 3: 2.4,2.5,2.6 (Wed. 2/23)
QUIZ 4: 3.1,3.2 (Wed. 3/2)
QUIZ 5: 3.2,3.3,3.4 (Wed. 3/9)
QUIZ 6: 3.5,3.6,3.7 (Wed. 3/30)
QUIZ 7: 3.8,3.9,3.10 (Wed. 4/6)
QUIZ 8: 4.1,4.2 (Wed. 4/13)
QUIZ 9: 4.6,4.7,4.8 (Wed. 4/27)
QUIZ 10: 5.1,5.2,5.3 (Wed. 5/4)
Your grade in this course will depend on your performance on 3 written in-class midterm exams, weekly quizzes given during recitation sessions and a comprehensive final. Tentative weight of assessment components:
- Midterm I (February 17, in class): 15%
- Midterm II (March 24, in class): 15%
- Midterm III (April 21, in class): 15%
- Final exam (TBA): 25%
- Quizzes: 20%
- Participation and in-class activities: 10%
One lowest quiz and one lowest midterm score will be dropped.

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.
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]
Chapters 1.1, 1.2
No class (snow)
2 [02/01/11]
Chapters 1.2, 1.3

3 [02/08/11]


4 [02/15/11]

Midterm Exam I
5 [02/22/11]


6 [03/01/11]


7 [03/08/11]
8 [03/15/11]
Spring break - no class
Spring break - no class
9 [03/22/11]
Midterm Exam II
10 [03/29/11]

11 [04/05/11]
12 [04/12/11]
13 [04/19/11]
Midterm Exam III
14 [04/26/11]


15 [05/03/11]
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