Math 233, Fall 2010

 Calculus III

Instructor          John E. McCarthy
Class                  MTuThF 9.00-10.00 in Brown 100 or 11.00-12.00 in January 110
Office                105 Cupples I
Office Hours    McCarthy: M 10-11, Th 10-11, F 12-1 or by appointment.

  Chumley: M 4-5, Tu 3-4, W 4-5, Th 3-4 in Cupples I, Room 8.

Phone                 935-6753

Text                    Multivariable Calculus, Concepts and Contexts by James Stewart, Chapters 9-13

                       This book is currently on the Fourth edition. However, there are no substantive differences

between the different editions, except for the numbering of the homework problems. If you can save a few

dollars and get an earlier edition, do so. (In fact, any book on multivariable calculus covers pretty much the

same material).

 

Do not get the Solutions Manual. This is not just a waste of money, it is Kryptonite – every

time you open a Solutions Manual, it sucks intelligence right out of your brain.

 

Exams    There will be four exams in the course:

                        Exam 1       6.30 p.m.- 8.30 p.m. September 21st        

Exam 1 (No answers)        Exam 1 (with answers)

                        Exam 2       6.30 p.m.- 8.30 p.m. October 19th

Exam 2 (No answers)        Exam 2 (with answers)

                        Exam 3       6.30 p.m.- 8.30 p.m. November 16th  

Exam 3 (No answers)        Exam 3 (with answers)


                        Exam 4 :    Final Exam        3.30-5.30 p.m. December 16th     

Final (No answers)        Final (with answers)

To find your room and seat assignment for an exam, go to the Math Dept home page on exam day, www.math.wustl.edu.

Remember to bring your Washington University student ID with you.

No notes are allowed for exams. You will need a scientific calculator for exams, but graphing calculators and those that can perform symbolic differentiation/integration are not allowed. (By a scientific calculator, I mean one that can evaluate trigonometric functions, exponentials and logarithms).

           

Homework

There are weekly homework sets during the semester, to be done on WebWork:

 http://webwork.wustl.edu/webwork2/math233fall2010/    

These are due every Sunday; the first assignment is due Sep 12th

Other homework (which will not be graded) is here: http://www.math.wustl.edu/~mccarthy/teaching/233Fall10HW.html

If you can do these HW problems with the book shut, you are on top of the material.            

Note: Doing a homework problem by looking for a similar example and following that does not give much insight. Instead, try to do the problem without looking anything up. If you can’t, reread the entire section, and then try again to do the homework problems without following worked examples.

 If you have really tried to do a homework or webwork problem and need a hint,  email  your TA Tim Chumley tchumley@wustl.edu. Note: If you wait till Sunday, you won't get a response in time for the submission.

Prerequisites

Calculus I and II

Content

Vectors. Dot and Cross products. Vector-valued functions – derivatives and integrals of these.

Functions of several variables. Derivatives. Maxima and minima; Lagrange multipliers.

Multiple integrals.

Vector fields. Line integrals. Green's theorem. Curl and Divergence. Surface integrals.

 

Basis for Grading

Each midterm and the webwork will be 18% of your grade, the final will be 28%. If you do well on the final, this grade can be substituted for one of your midterms.

Final Grades : 

A: 85% –100%                       A-: 83% - 84.9%

B+: 80.5% - 82.9%                 B:  70% - 80.4%                     B-: 66.6% - 69.9%

C+: 62.9% - 66.5%                 C: 58% - 62.8%                      C-: 55% - 57.9%

D: 50% - 54.9%

                                   

Missed Exams:  If you are unable to take one of the midterms for legitimate reasons (such as verified illness or serious family emergency)  you  will be given an excused absence for that exam.              

                                 NO INTERM MAKEUP EXAMS ARE GIVEN.

  
Your grade for the missed midterm exam will be calculated by a statistical procedure which uses your scores on the other taken exams, including the Final.
Not coming because you overslept or forgot the time of the exam is not a legitimate reason  .
 

Homework

Homework is an extremely important part of the course. Make sure you stay current with it, or you will find it extremely difficult to catch up.

Class

I do expect you to come to class every day, and to participate in class discussions. I also expect you to stay abreast of the material we are covering, and may call on you at any time to answer a question.

 

Help is Available!

Chart of Calculus Help times

There are a number of ways to get help with hard problems or for understanding some material a little better.
First my office hours. You should feel free to come in and talk about any material.

Second, your TA Tim Chumley tchumley@wustl.edu has office hours. You may always ask your TA for help.

My office hours and Tim's are listed at the top of this page.


Next there is the Calculus Help Room and Calculus Help Desk. Details about these can be found on:
www.math.wustl.edu/~blake/calculus and www.artsci.wustl.edu/~freiwald/help.html.

Peer-led Team Learning: Peer-Led Team Learning (PLTL) is a voluntary study group program that is
offered for Calculus 131/132/233. You can sign-up to be considered for a
spot using the online application, which will open on Wednesday, September
1, 2010 at 5pm and close on Sunday, September 5, 2010 at midnight. An
attempt will be made to accommodate all students who apply, but there are
a limited number of spots available. If necessary, students will be
selected via a lottery. Placement e-mails will be sent out by September 8,
2010, and the first group meetings will be the weekend of September 11/12.
To learn more about the program, visit http://calcpltl.wordpress.com/ or
contact Lisa Kuehne, lmkuehne@wustl.edu.

Calculus Study Group: Study groups are organized as needed by The Center for Advanced Learning located in Cornerstone (in Gregg Hall on the south 40). They are conducted by graduate and undergraduate math students. If you want to belong to such a study group you must make a commitment to attend the group regularly (not just "come when you feel like it"). For more information you can look on the website cornerstone.wustl.edu or call them at 935-5970 .

Old Exams: Old Exams and solutions are posted on the web as a study guide (go to www.math.wustl.edu ). Copies of some of these exams should also be available to view or copy at the Reserve Desk of Olin Library.

 

Links used in class discussions

Some graphs

Conics in polar coordinates

Carl Sagan on Kepler's Laws

Some graphs from Stewart 11.1

Limits and Continuity Chapter 5 from "Transition to higher mathematics: Structure and Proof" by Bob Dumas and John McCarthy

Matrix Primer Basic facts about matrices