MATH 233

Multivariable Calculus

Spring, 2009

Instructor: Steven G. Krantz

Office: 103 Cupples I

Phone: 935-6712

e-mail: sk@math.wustl.edu

Text: Calculus: Multivariable by Blank and Krantz

Homework for this class will be done using the OnLine utility WeBWorK . Go to the WebSite. Pick Math 233 for Spring of 2009. Then log in.

Peer-Led Team Learning (PLTL) for Calculus: Sign up at the WebSite after 5:00pm on Monday, January 12.

OFFICE HOURS

 Krantz: Monday, Tuesday, Thursday, 11:00am - 12:00noon, 103 Cupples I. Or by appointment.

Teaching Assistant: Qing Li. Discussion session Thursday 3:30pm-5:00pm (Brown 118) and Friday 1:30pm-3:00pm (Cupples I, Room 199). Office hour Friday 10:00am-12:30pm in Lopata 323. Qing Li's office is Room 13 (basement) in Cupples I.

COURSE GRADE

Nominally each midterm exam will count for 15% of the grade, the final will count for 30% of the grade, and the WebWork homework will count for 25% of the grade. But, in the final calculation, I will drop your lowest of the three midterm scores and adjust the other four items accordingly.

EXAMS

There are there three midterm exams and a final exam in this course. I will drop your lowest midterm grade and re-scale the other exam grades to compute your final course grade. The curve for the entire course will be an average of the curves for the individual exams and the curve for the homework.

The First Midterm Exam is Wednesday, February 4 from 6:30pm to 8:30pm. You need only a pencil. No calculators allowed. You can bring a 3x5 card with formulas or notes. The exam will cover Chapters 11 and parts of 12 in the text. For exam seating, go to Exam Seating on the morning of the exam.

You can find a good practice exam at the Web site Old Exams and scroll down to Math 233, Spring of 2006, Exam 1 with solutions.

The drill for the week of February 2 is this:

  • Monday, February 2: Review in class for exam.
  • Tuesday, February 3: No class, but extended office hour from 9:00am to 11:00am in Cupples I, Room 199.
  • Wednesday, February 4: No class. Exam in the evening from 6:30pm to 8:30pm.
  • Thursday, February 5: No class.
  • Friday, February 6: Class as usual, covering Section 12.5.

Click EXAM to see the First Midterm.

Click HERE for solutions to the First Midterm.

The Second Midterm Exam is Wednesday, March 4, from 6:30pm to 8:30pm. You can bring a 3x5 card with formulas or notes. You need only a pencil. No calculators allowed. The exam will cover Sections 12.4 through 12.5 and Chapter 13 in the text. For exam seating, to to Exam Seating on the morning of the exam.

You can find some useful practice exams at the Web site Old Exams and scroll down to Math 233, Spring of 2006, Exam 2 with solutions (especially problems 6 through 17) and Fall of 2006, Exam 3 with solutions (especially problems 1-5 and the hand-graded problem).

The drill for the week of March 2 is this:

  • Monday, March 2: Review in class for exam.
  • Tuesday, March 3: No class, but extended office hour from 9:00am to 11:00am in Cupples I, Room 199.
  • Wednesday, March 4: No class. Exam in the evening from 6:30pm to 8:30pm.
  • Thursday, March 5: No class.
  • Friday, March 6: Class as usual, probably covering Sections 14.3 and 14.4.

Click EXAM to see the Second Midterm.

Click HERE for solutions to the Second Midterm.

The Third Midterm Exam is Monday, April 6, from 6:30pm to 8:30pm. You can bring a 3x5 card with formulas or notes. You need only a pencil. No calculators allowed. The exam will cover Chapter 14 and the beginning of Chapter 15 in the text.

You can find a good practice exam at the Web site Old Exams and scroll down to Math 233, Fall of 2006, Exam 3 with solutions (problems 6 and higher). Also look at Spring of 2007, Exam 3 with solutions (skip the problem on surface area).

The drill for the week of March 30, 2009 (and following) is this:

  • Thursday, April 2: Review in class for exam.
  • Friday, April 3: No class, but extended office hour from 9:00am to 11:00am in Cupples I, Room 199.
  • Monday, April 6: No class. Exam in the evening from 6:30pm to 8:30pm.
  • Tuesday, April 7: No class.
  • Thursday, April 9: Class as usual, covering Section 15.1.

Click EXAM to see the Third Midterm.

Click HERE for solutions to the Third Midterm.

The Final Exam is Thursday, April 30 from 3:30pm to 5:30pm. You can bring a 3x5 card with formulas or notes. You need only a pencil. No calculators allowed. The exam will be comprehensive: It will cover the entire course. Specifically, the first half of the exam will be about the old stuff (covered on the first three midterms) and the second half will be on Chapter 15. For exam seating, go (on the morning of the exam) to Exam Seating .

You can find a good practice final exam at the Web site Old Exams and scroll down to Math 233, Fall of 2006, Final Exam with Solutions.

The drill for the week of April 20, 2009 (and following) is this:

  • Monday, April 20: Class as usual: covering Section 15.5.
  • Tuesday, April 21: Class as usual: covering Section 15.5.
  • Wednesday, April 22: No class.
  • Thursday, April 23: Review (in class) for final exam.
  • Friday, April 24: No class. Extended office hour from 9:00am to 11:00am in Room 199, Cupples I.
  • I'll be out of town, and unavailable, during the subsequent period before the exam.

Click EXAM to see the Final Exam.

Click HERE for solutions to the Final Exam.

The problems that follow are taken from the text, and are provided so that you might have extra practice with the concepts from the course. I have selected odd problems because the answers are in the back of the book. Of course you should not feel obliged to do all of these, but you can select some for practice.

Suggested Homework Problems for Week 1

pages 9-11: 1, 5, 7, 11, 15, 19, 23, 27, 29, 33, 39

pages 18-21: 1, 7, 11, 17, 23, 29, 33, 37, 43, 47, 57

pages 30-32: 3, 5, 9, 15, 19, 25, 27, 31, 35, 39, 43

Suggested Homework Problems for Week 2

pages 42-43: 3, 7, 11, 17, 21, 25, 29, 33, 37, 41

pages 55-57: 3, 7, 11, 15, 19, 23, 27, 31, 35, 39, 43, 47, 51, 55, 59, 63, 67, 71

pages 75-77: 3, 5, 9, 13, 17, 23, 29, 33, 37, 43, 47, 55

Suggested Homework Problems for Week 3

pages 85-87: 3, 7, 11, 15, 19, 25, 29, 31, 35

pages 95-96: 3, 7, 11, 17, 21, 25, 29, 33, 37, 47

pages 105-106: 3, 7, 9, 13, 17, 23, 27, 31, 47

Suggested Homework Problems for Week 4

pages 105-106: 5, 11, 15, 19, 25, 29, 37

Suggested Homework Problems for Week 5

pages 119-121: 3, 7, 11, 15, 19, 23, 27, 37, 41

pages 139-141: 3, 7, 11, 15, 21, 27, 31, 37, 43, 45

page 149: 7, 13, 19, 23, 27, 29, 31, 35

Suggested Homework Problems for Week 6

pages 155-156: 3, 7, 11, 17, 19, 21, 23, 29

pages 164-166: 3, 7, 9, 13, 17, 19, 21, 27, 35, 39, 41, 43, 45, 49

pages 176-178: 3, 7, 9, 15, 17, 21, 25, 29, 31, 33, 35

Suggested Homework Problems for Week 7

pages 185-187: 5, 7, 9, 13, 19, 21, 25, 29, 31, 35, 37, 39, 41, 45

pages 197-198: 5, 9, 11, 15, 19, 23, 25, 27, 29, 33, 37

pages 210-212: 5, 13, 17, 21, 25, 27, 29, 31, 33

pages 219-221: 5, 9, 11, 15, 17, 19, 23, 29, 35

Suggested Homework Problems for Week 8

pages 239-240: 1, 3, 7, 9, 15, 19, 23, 27, 29, 33, 37

Suggested Homework Problems for Week 9

pages 246-248: 3, 5, 9, 13, 17, 21, 23, 25, 31, 33, 37

pages 253-254: 3, 7, 11, 15, 19, 25, 29, 33, 37

pages 262-263: 3, 7, 11, 15, 19, 21, 25, 31, 33, 39, 43, 45

pages 275-277: 3 ,5, 9, 11, 15, 17, 23, 25, 31, 35, 37, 41, 43, 47

Suggested Homework Problems for Week 10

pages 282-283: 3, 7, 9, 13, 17, 21, 23, 27, 31, 37

pages 291-292: 1, 3, 5, 9, 11, 13, 17, 21, 25, 27

pages 297-298: 1, 5, 7, 13, 15, 19, 23, 27, 29, 33, 37, 39, 41

Suggested Homework Problems for Week 11

Suggestded Homework Problems for Week 12

Suggested Homework Problems for Week 13

Suggested Homework Problems for Week 14

pages 316-317: 1, 5, 7, 11, 15, 17, 19, 23, 25, 29, 31, 35, 37, 41

pages 326-327: 3, 5, 7, 11, 15, 19, 21, 23, 27, 29, 31, 35, 41

pages 339-340: 3, 7, 9, 15, 19, 21, 23, 25, 29, 31, 33, 35

pages 347-348: 3, 5, 9, 11, 13, 15, 21, 23, 27, 29, 33, 35, 39

Suggested Homework Problems for Week 15

pages 357-358: 3, 5, 7,9, 13, 15, 19, 21, 23, 25, 27, 29, 33

If time permits, we may cover Sections 15.6 and 15.7. If we do, then you might try these problems:

pages 367-368: 3, 7, 11, 13, 15, 19, 23, 25, 27, 29, 31, 33, 35, 37, 41

pages 381-383: 3, 5, 9, 11, 15, 17, 21, 25, 29

e-mail to Steven G. Krantz: sk@math.wustl.edu

Last modified: Wed May 3 00:30:47 CDT 2006