Math 233 Spring 2011

Section	Time	Location	Instructor	email	Office Hours
SP2011 L24 Math 233 01: CALCULUS III	MT-RF-- 9:00AM-10:00AM	Brown 118	B. Blank	brian@math.wustl.edu	Cupples I 224 MT 2:30-3:30 F 11:30-12:30
SP2011 L24 Math 233 02: CALCULUS III	MT-RF-- 10:00AM-11:00AM	Brown 118	B. Blank	brian@math.wustl.edu	Cupples I 224 MT 2:30-3:30 F 11:30-12:30
SP2011 L24 Math 233 03: CALCULUS III	MT-RF-- 1:00PM-2:00PM	Wilson 214	B. Blank	brian@math.wustl.edu	Cupples I 224 MT 2:30-3:30 F 11:30-12:30

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 that does not bear the address of a university account. Including [M233] in the subject line 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 8	Check here on exam day.	6:30-8:30PM	Available day after exam
E2	March 8	Check here on exam day.	6:30-8:30PM	Available day after exam
E3	April 12	Check here on exam day.	6:30-8:30PM	Available day after exam
E4	May 5	Check here on exam day.	3:30-5:30PM	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

The exam score S1 and the homework score, HW, both out of 100, will be combined to obtain an overall score S defined by:

S := 0.84*S1 + 0.16*HW

This 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, and a final exam score of 78, then the 78 replaces the 60, and S1 is equal to (86 + 78 + 74 + 78)/4, or 79. If the student's homework grade, HW, is 85, then S := 0.84*79 + 0.16*85 = 79.96. That is guaranteed to earn at least a B-. Most likely it would earn a B+. It might bring an A-, but there is no guarantee of that.

For a student with the same exam scores but with a homework grade of 86, then S2 = 0.84*S1 + 0.16*HW = 0.84*79 + 0.16*86 = 80.12, which guarantees at least an A- (and that is most likely what the grade would be).

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.

Only basic scientific calculators are permitted. (No graphing calculators.) A typical model of an allowable calculator is the TI-30. Typical models of prohibited calculators are the TI-83 and TI-89.

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.

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

5. Text

Calculus Multivariable, 2nd edition
Brian E Blank and Steven G Krantz
John Wiley and Sons, 2011
ISBN13: 978-0470-45359-9 (Verify the ISBN if using it for an order)

If you order online, be wary of used or paperback copies. A paperback copy is likely to be the first edition. Since the 2nd edition was released in January 2011, any used copies are likely to be professional give-aways stamped "Not for resale." Such a copy would be fine to use but would be more difficult to resell (although it would be legal to do so).

No other book is required. All the material covered may be found in the first edition of this text. Although it is a convenience to have the current edition (because the suggested practice exercises are drawn from it), it would be possible to use the earlier edition (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 (01/18-01/21)	9.1 9.2	9.1: 5, 9, 11, 13, 15, 17, 21, 27, 35, 39, 41-59 odd 9.2: 1, 7, 9, 13-29 odd, 33-39 odd, 49, 51
#2 (01/24-01/28)	9.3 9.4 9.5	9.3:1, 3, 11, 13, 15, 17, 19, 23, 27, 29, 33, 35, 45, 49a 9.4:1, 3, 7, 9, 11, 15, 19, 25, 29, 37, 39, 53 9.5: 1, 3, 5, 11, 13, 17, 21, 27, 31, 33, 37, 41, 45, 51, 55, 57, 59, 61, 63, 67
#3 (01/31-02/04)	10.1 10.2 10.3	10.1: 1-21 odd, 27, 29, 31 35-43 odd 10.2:1, 3, 5, 9, 11, 13, 15, 23, 25, 29 10.3: 1, 3, 5, 9, 13, 15, 17, 19, 21, 23, 25, 31, 33
#4 (02/07-02/11) EXAM: Tuesday (Covers 9.1-10.3) Links to old exams	10.4 10.5	10.4: 1, 5, 9, 11, 13, 17, 19, 23, 25, 29, 31 10.5:1, 3, 7, 9, 13, 17, 19
#5 (02/14-02/18)	11.1 11.2 11.3	11.1:1-27 odd, 46, 49 11.2:1, 5, 7, 9, 15-29 odd 11.3:3, 5, 11, 13, 15, 19, 21, 23
#6 (02/21-02/25)	11.4 11.5	11.4:1, 3, 7, 9, 13, 17, 27, 35, 37, 41, 61 11.5:1, 3, 7, 11, 17, 19, 25
#7 (02/28-03/04)	11.6 11.7 11.8	11.6:1, 3, 9, 13, 15, 21, 23, 31, 33, 37, 39, 41 11.7:1, 3, 5, 13, 15, 19, 21, 23, 27, 29, 35, 37 11.8:1-15 odd, 23
#8 (03/07-03/11) EXAM: Tuesday (Covers through 11.8) Links to old exams	11.9	11.9: 1-23 odd Review: 1-93 odd
#9 (03/14-03/18) Spring Break	No classes	Review, as needed
#10 (03/21-03/25)	12.1 12.2 12.3 12.4	12.1:1, 3, 5, 7,11-19 odd, 29 12.2:1-25 odd 12.3:1-17 odd, 25, 27 12.4:9-21 odd, 33-43 odd
#11 (03/28-04/01)	12.5 12.6 12.7	12.5:1, 3, 7, 9, 15, 17, 19, 27, 29 12.6:1, 3, 11, 17, 21 12.7: 3, 7, 13, 19, 27, 31, 35, 39
#12 (04/04-04/08)	12.8 13.1 13.2	12.8: 3, 7, 9, 13, 17, 19, 25, 27, 29, 31, 35 13.1: 1-7 odd, 13, 15, 23, 25, 29, 31 13.2: 1, 3, 5, 9, 11, 17, 21, 23, 25, 27, 31
#13 (04/11-04/15)	EXAM: Tuesday (Covers through 13.2) Links to old exams 13.3	13.3:1, 3, 5, 7, 13, 19, 23, 25, 27, 29
#14 (04/18-04/22)	13.4 13.5	13.4: 1, 3, 11, 15, 21, 27, 33, 35, 41 13.5: 1, 3, 7, 9, 11, 15, 19, 23
#15 (04/25-04/29)	13.6 13.7 13.8	13.6: 3, 5, 7, 15, 17, 21, 23, 29, 33, 35 13.7: 1-11 odd 13.8: 1-9 odd
FINAL EXAMINATION Links to old exams: PDF format Maple format	May 5 3:30 PM - 5:30 PM	Please verify in Course Listings

7.Homework

Homework will generally be assigned weekly. Assignments are due Friday at 11:30 PM beginning 01/28/2011. 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.
I use Maple and can answer any question that arises. Some course materials are distributed in the form of (active) Maple files with (inactive) pdf conversions. Mathematica is similar in scope to Maple. However, I cannot offer any help in its use. Matlab is a different sort of product that is not naturally set up for multivariable calculus usage. However, it is used widely in engineering circles.

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. Her name is Jasmine Ng..

Here are Jasmine's office hours.

Day	Time	Location
T	3PM-4PM	Cupples I 8
T	4PM-5PM	Lopata Hall 323
W	3PM-4PM	Cupples I 8
R	11AM-12AM	Cupples I 8

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

Previous Math 233 exams that I have written can be found in this browsable directory:

Calculus Directory

The files are listed alphabetically, so scroll down to M233. Files that end in mws require Maple. Most, if not all, have been converted to pdf. For Math 233 exams written by other members of the department, go to

Math Department Old Exam Page

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: 04 May 2011