Engineering Mathematics II:

Multivariable Calculus

22m:32, Spring 2004
Instructor: Frederick M. Goodman



GRADE ASSIGNMENTS: The line between B and A was approximately 86%, that between C and B approximately 75%, that between D and C approximately 60%, that between F and D approximately 40%. Percents refer to the course average. Borderline grades were adjusted up or down if warrented by the final exam performance. Approximately 25% of those who took the final exam got an A in the course and 58% a B or better.




1. Final exam at 9:45 am Mon 10 May 2004 - Rooms: 321, 65 CB (I will decide how to divide the class after I check out the rooms.)

Remember: on your exam paper, it's your job to make it obvious what your answer is, and to make sure that your answer is an answer to the question that was asked. It is also difficult to give partial credit when we cannot follow the work; to get partial credit, try to put your work into some sort of comprehensible order.

2. If you are having difficulty with this course, try to make the best use of the available resources: office hours, math-lab, discussion sections. Review frequently, not only just before exams. Go over each lecture within a day after the lecture, and make a note of any unclear points. Look at other calculus books for examples and exercises: there is a whole wall full of calculus books in the math lab.

Speaking of calculus books, Professor Stroyan's book is very good, but there is no reason to learn from only one book. Moreover, every science and engineering student ought to have one of the standard encyclopedic calculus books on his/her shelf for reference. I suggest that you buy a used one, slightly out of date, in order to get the best value.

3. Read course reviews and review your courses at

Contact Information:


325G Maclean Hall

phone: 335-0791


goodman at math dot uiowa dot edu

Please put "math 32" in the subject line.

Office Hours:

Math lab hours -see table below

Otherwise, by appointment


Paper Mail:

Frederick Goodman
Department of Mathematics MLH
The University of Iowa
Iowa City, IA 52242

Class Hours:

Lectures Mon, Wed, Fri: 2:30 - 3:30 321 CB

See syllabus for detailed information about discussion sections, etc.



Math Lab Help Hours

Room 310 MLH - MATHLAB Hours

  Sun Mon Tue Wed Thu Fri


Click here to read general course information.

Click here to read the weekly syllabus . (Mathematica notebook.) This contains the actual schedule of lectures given and assignments.

Note: You need Mathematica or Mathematica Reader to read Mathematica notebooks. You can get a free copy of Mathematica Reader from .

Here is the projected course plan, prepared by Professor Stroyan. I will try to stick to this plan, but may not be able to adhere to it strictly.

Assignment lists:

Included on the weekly syllabus.

Demonstrations and discussions (online "handouts"):

Professor Goodman's Notes on Chapter 1. (Mathematica notebook)

Lecture from Jan 23 and Jan 26 . (Mathematica notebook)

Corrected example 2.6.5. (Mathematica notebook -- from Professor Stroyan)

Lecture from Feb. 13. (Mathematica notebook)

Lecture from Feb. 18. (Mathematica notebook)

Lecture from Feb. 20. (Mathematica notebook)

Lecture from March 1. (Mathematica notebook)

Lecture from March 3 . (Mathematica notebook)

Lecture from March 8 . (Mathematica notebook)

Lecture from March 31 . (Mathematica notebook)



Keith Stroyan, Interactive Multivariable Calculus

Text & CD available at Zephyr copies 124 E. Washington St.

This text is required.

Note: the textbook includes a CD containing an electronic copy of the entire text and supplementary material. You need Mathematica or Mathematica Reader to read this material. You can get a free copy of Mathematica Reader from .


Professor Stroyan's website for this course, including the course outline and files for the e-text.

Mathematica Tutorials:

These Mathematica tutorials were prepared by Professor Goodman. They supplement those provided by Professor Stroyan with the course text.

Mathematica Lesson 1: Getting started.

Mathematica Lesson 2: Mathematica as a scientific calculator.

Mathematica Lesson 3: Mathematica as a symbolic calculator.

Mathematica Lesson 4: Mathematica for calculus and graphing.


There will be two midterm exams:

Exam #1: 7 pm Thurs 26 Feb.    Histogram for exam 1.  

Exam #2: 7 pm Thu 22 Apr, 100 PH .           

There will be a final exam at 9:45 am Mon 10 May 2004 - Rooms: 321, 65 CB (I will decide how to divide the class after I check out the rooms.)

All exams will be comprehensive.

Review and Practice sheets:

Review for exam 2. (pdf format)

Review for final (pdf format)


Some Web Resources:

  1. Engineering computer labs information here.

Fred Goodman
Fall 2003