Math 233 Spring 2006

Section	Time	Location	Instructor	email	Office Hours
1	MTThF 9-10	Brown 118	B. Blank	brian@math.wustl.edu	Cupples I 224 MT 11:00-12:00 Th 12:00-1:00
2	MTThF 10:00-11:00	Brown 118	B. Blank	brian@math.wustl.edu	Cupples I 224 MT 11:00-12:00 Th 12:00-1:00
3	MTThF 11:00-12:00	Brown 118	B. Thornton	blake@math.wustl.edu	Cupples I 204A TThF 12:00-1:00

Please include [M233] in the subject line of any email message that pertains to this course. This is particularly important if you send the email from a yahoo or hotmail account instead of a cec or artsci account. It will help avoid accidental deletion of your still unread message.

2. Grading Information

There will be three evening exams during the semester, E1, E2, E3.

There will also be a final, E4.

Exam	Date	Location	Time	Solutions
E1	February 6	Check here on exam day.	6:30-8:30PM	Available day after exam
E2	March 6	Check here on exam day.	6:30-8:30PM	Available day after exam
E3	April 3	Check here on exam day.	6:30-8:30PM	Available day after exam
E4	May 5	Check here on exam day.	10:30AM-12:30PM	Available day after exam

The three evening exams, E1, E2, E3 and a final exam, E4, each out of 100, will be combined in the following way to obtain an exam point total, S1, out of 100:

S1 := (E1 + E2 + E3 + 2*E4 - min(Ei : i = 1 .. 4))/4

A second total will be obtained using homework, HW, out of 100, as follows:

S2 := 0.86*S1 + 0.14*HW

The better of these two scores

S := max(S1 , S2)

will be translated into a letter grade of A, B, C, D, F (with plus and minus shadings) in a way that is not stricter than the following table:

Numerical Range	Letter Grade
[80,100]	A -
[65,80)	B-
[50-65)	C -
[40-50)	D
[0,40)	F

For example, if a student obtains evening exam scores of 86, 60, and 74, a final exam score of 78, and does not turn in homework, then the 78 replaces the 60, and S1 is equal to (86 + 74 + 78 + 78)/4, or 79. Since S1 is greater than S2 = 0.86*S1 + 0.14*HW = 0.86*79 + 0.14*0 = 67.94, the student's numerical grade is 79. That is guaranteed to earn at least a B+. If there is curving, then the 79 might bring an A-, but there is no guarantee that there will be curving.

For a student with the same exam scores but with a homework grade of 88, we calculate S2 = 0.86*S1 + 0.14*HW = 0.86*79 + 0.14*88 = 80.26. Since S2 > S1, the student's grade would be 80.26, which guarantees at least an A-.

It is unlikely that a need for "upward curving" will arise. After the final exam, grades will be determined according to the algorithm described above. If the grade distribution is significantly lower than usual, then "curving" will be considered.

3. General Calculus Exam Policy: Cheat sheets, Calculators

A standard-sized index card will be permitted as a "cheat sheet" on the exams.

Calculators are not permitted.

4. General Calculus Exam Policy: Date of Final, Excused Absences

The exam dates including the final were set by the College office before you registered for this class. You are therefore expected to take the exams at their scheduled times. If you are away because of a university sporting event or field trip, then you may arrange for your coach or professor to administer the exam. Excused absences may be granted in the case of illness or bereavement. All excused absences must be granted by Professor Shapiro.

The final exam date cannot be changed for reasons of traveling convenience.

5. Text

Calculus: Concepts and Contexts, Third Edition, James Stewart

We use the "Multivariable" part. That part is is available in two formats. It comes as the last part of a thick book that comprises all three semesters of calculus. If you bought the thick book for Math 131 or Math 132, then you have what you need already.
There is a stand-alone thinner book that is labeled "Multivariable."Whichever you have, the chapters that we cover are numbered the same way: 9 through 13.

No other book is required. All the material covered may be found in earlier editions of Stewart's book. Although it is a convenience to have the current edition (because the suggested practice exercises are drawn from it), it should be possible to use an earlier edition of Stewart (or even another calculus text book), if you are willing/able to make the correspondence between the recommended exercises of the assigned text and the exercises of your text.

6. Syllabus

Week	Sections	Suggested Problems
#1 (01/17-01/20)	Appendix H.1 9.1	H.1: 1-35 odd, 47 9.1: 7-15 odd
#2 (01/23-01/27)	9.2 9.3 9.4	9.2: 7-23 odd 9.3: 1,3,5,7,13-25 odd 9.4: 1, 7-17 odd, 21, 23, 25
#3 (01/30-02/03)	9.5 9.6 9.7	9.5: 3-43 odd 9.6: 5 9.7: 3-29 odd
#4 (02/06-02/10) EXAM: Monday (Covers Appendix H1, 9.1-9.6) Links to old exams	10.1 10.2	10.1: 3-11 odd, 15, 23, 25 10.2: 3 - 21 odd, 29 - 33 odd
#5 (02/13-02/17)	10.3 10.4	10.3: 1, 3, 7, 11-25 odd, 37, 39 10.4: 3-17 odd, 31, 33
#6 (02/20-02/24)	10.5 11.1 11.2	10.5: 17, 19, 21, 23 11.1: 5, 9, 12, 15, 17, 19, 37, 39 11.2: 7-13 odd
#7 (02/27-03/03)	11.3 11.4 11.5	11.3: 13-33 odd, 43 - 57 odd 11.4: 1 , 3 , 9, 11, 13, 19 11.5: 1-9 odd, 13-27 odd
#8 (03/06-03/10) EXAM: Monday (Covers through 11.5) Links to old exams	11.6 11.7 11.8	11.6: 5-21 odd, 35, 37 11.7: 5-15 odd, 33, 35, 37 odd 11.8: 3-17 odd, 39
#9 (03/13-13/17) Spring Break	No classes	Review, as needed
#11 (03/20-03/24)	12.1 12.2 12.3 Appendix H2	12.1: 1 12.2: 3 - 17 odd, 21-23 odd 12.3: 1-21 odd, 29, 33-41 odd H.2: 5 - 11 odd, 15, 19-25 odd
#12 (03/27-03/31)	12.4 12.6 12.7	12.4: 7-27 odd 12.6: 1-11 odd 12.7: 3-17 odd, 27-33 odd
#13 (04/03-04/07) EXAM: Monday (Covers through 12.6) Links to old exams	12.8 13.1 13.2	12.8: 1-11 & 15-19 odd, 25,27,31,33 13.1: 1, 3, 5, 21, 23, 25 13.2: 1-19 odd
#14 (04/10-04/14)	13.3 13.4	13.3: 3-9 odd, 13 - 21 odd, 31, 33 19 13.4: 1, 3, 7-15 odd, 19
#15 (04/17-04/21)	13.5 13.6	13.5: 11-17, 19, 23, 25 13.6: 5-23 odd
#16 (04/24-04/28)	13.7 13.8	13.7: 3,5,7,9,13,15 13.8: 3-13 odd
FINAL EXAMINATION Links to old exams: PDF format Maple format	May 5 10:30 AM - 12:30 PM	Please verify in Course Listings

7.Homework

Apart from the first week of classes, homework is assigned weekly. It is due every Friday beginning 01/27/2006. Homework is done through Webwork, which is accessed through this link:

Webwork

8. Software

Software is not required for this course. However, it is highly desirable that you learn to use software that allows you to create plots appropriate for multivariable calculus. Learning a software package now can be a great benefit for subsequent mathematics courses such as linear algebra and differential equations, as well as courses in other subjects. Software can be used to check your manual work in Math 233, but, more importantly, it will allow you to visualize the curves and surfaces of multivariable calculus that lie in three-dimensional space.

Your choice comes down to a computer algebra system (Maple or Mathematica) or a numerical program, Matlab, that licenses a small part of the Maple kernel. I recommend Maple and will answer any question that arises. Some course materials are distributed in the form of Maple files. Mathematica is similar in scope to Maple. However, I do not offer any help in its use. Matlab is a different sort of product that is not really set up for multivariable calculus usage.

Maple Version 5.1 is available on the Windows PCs and the Macintoshes of the Arts and Sciences Computing Lab in the basement of Eads Hall.

The following table has Maple worksheets that pertain to the material of this course. Some of the worksheets are tutorials on using the appropriate functions that come with Maple. Some worksheets contain functions that I wrote to extend the capabilities of Maple.

Maple Worksheet	Description
mapleBasicsR8.mws	Basic Maple tutorial
polarCurvePlottingR8.mws	Polar curve plotting tutorial
polarCurveGalleryR8.mws	Gallery of named polar curves
surfacePlottingIR8.mws	Basics of plotting surfaces
spaceCurvePlottingR8.mws	Basics of plotting space curves
intersectionsOfSurfacesR8.mws	Parameterizations and visualizations of surface intersections
spaceCurveGeometryR8.mws	The geometry of space curves
surfacePlottingIIR8.mws	A parametric surface plotting tutorial
levelCurvePlottingR8.mws	A level curve plotting tutorial
leastSquaresLineR8.mws	Least Squares Lines
lagrangeMultipliersR8.mws	Lagrange Multipliers

9. T.A. Information

There is a teaching assistant (T.A.) for the course. His name is Robert Houska..

Here are Robert's office hours.

Day	Time	Location
T	5PM-8PM	Cupples I 218
W	9AM-11AM	Busch 100
Th	5PM-8PM	Cupples I 218

10. Additional Resources

- The Calculus Help Room (Lopata 102). This is essentially staffed all day, M-F, and starts the second week of classes. The exact hours Click on this link for the exact hours.

- Cornerstone, Calculus Help Desk. Cornerstone provides calculus help in the evenings. They should post a schedule here.

11. Links to Exam History

Links to old exams:
PDF format

Exam 1	Exam 2	Exam 3	Final
Fall 2002	Fall 2002	Fall 2002	Fall 2002
Spring 2004	Spring 2004	Spring 2004	Spring 2004
Fall 2005	Fall 2005	Fall 2005	Fall 2005
Spring 2006	Spring 2006	Spring 2006	Spring 2006

Brian E. Blank
Department of Mathematics
Washington University in St. Louis
1 Brookings Drive
St. Louis, MO 63130

Phone: (314) - 935 - 6763
Fax: (314) - 935 - 6839

e-mail: brian@math.wustl.edu

Last Updated: 7 February 2006