Calculus for Biological


22m:16, Spring 2003
Instructor: Frederick M. Goodman

Contact Information:


325G Maclean Hall


goodman at math dot uiowa dot edu

Please put "math 16" in the subject line.

Office Hours:

M, W 2:30-3:30 in Math. Lab

F 2:30-3:30 in 325G MLH

Paper Mail:

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

Lecture Hours:

M,W, F at 12:30 or 1:30

Dropping/adding this course:


Contact the TA for the discussion section which you wish to drop or add.


Click here to read the syllabus.


Hughs-Hallet, et. al., Applied Calculus, 2nd edition, John-Wiley, 2003.

This text is required.


Assignment lists:

There will be weekly assignments, due on Tuesdays in discussion section. Details will appear here as the assignments are made.

Assignment 1, Due Tuesday, January 28.

Assignment 2. Due Tuesday, February 4.

Assignment 3. Due Tuesday, February 11.

Assignment 4, Due Tuesday, February 18.

Assignment 5, Due Tuesday, February 25.

Assignment 6, Due Tuesday, March 4.

Assignment 7, Due Tuesday, March 11.

Assignment 8, Due Tuesday, March 25.

Assignment 9, Due Tuesday, April 1 (no fooling).

Assignment 10, Due Tuesday, April 8.

Assignment 11, Due Tuesday, April 15.

Assignment 12, Due Tuesday, April 29.

Assignment 13, Due Tuesday May 6. Mathematica file. Pdf file




Review and Practice sheets:

1. Differentiation practice I. Available as pdf file without answers, and as mathematica notebook capable of producing answers.

2. Differentiation practice II. Available as pdf file without answers, and as mathematica notebook capable of producing answers.

3. Review sheet for first midterm. (pdf file).

4. Review sheet for second midterm. (pdf file).

5. Final review sheet. (pdf file).

Mathematica Tutorials:

Note: some students have been having difficulty opening these files with Mathematica in Windows. This is not the fault of these files but rather something to do with the way Mathematica and Windows are set up on some of the university computers. The following procedure will work:

1. Click on the file you want to work with and, when the dialogue box pops up and asks what you want to do with the file, chose save to disk. Save it to some convenient location, like the desktop.

2. Start the Mathematica program.

3. Open the desired file from within the Mathematica program; i.e. on the main Mathematica menu bar do File -> Open . A file browser will pop up, and you can choose your file.


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 graphing and computing derivatives.


There will be two midterm exams, each two hours in duration, given on the following Thursday evenings.

March 6 7-9 pm

and April 17, 7-9 PM

There will be a final exam at the time specified in the Spring 2003 course schedule, namely

Thursday, May 15 at 7:30 AM, in MH AUD

All exams will be comprehensive.

Demonstrations and discussions:

1. Local flatness and the derivative. mathematica notebook,

2. A model for intramuscular injection of a drug. mathematica notebook.

3. Graph investigation. mathematica notebook.

4. An optimization problem - a walk through the fields. mathematica notebook.

5. Special algorithm for square root based on Newton's method. mathematica notebook.

6. Solving equations using calculus- Newton's method. mathematica notebook.

7. Direction fields, and the Logistics differential equation. Java applet.

8. Gas chromotography: introduction to integration . Mathematica notebook.

9. Summation method: introduction to integration II. Mathematica notebook.

10. Antidifferentiation of some trigonometric functions. Pdf File.

Some Web Resources:

1. Look! Here is a web site where you can enter functions and ask for the derivative to be computed. It could be useful for checking your work, for example when you are at home and don't have access to Mathematica.

2. You can get a free reader for Mathematica notebooks, which allows you to read prepared Mathematica notebooks but not to edit them or to run Mathematica.

3. Here is a little propaganda from the editorial page of the New York Times, Tuesday, March 4, 2003, for the future of mathematics in health sciences.