Math 249--Spring 2001

Meeting Times:
MTThF 10:20-11:10
Instructor:
Michael Drinen
(office: CLN 304, phone: x5454, email:mdrinen@willamette.edu)

Office Hours:
I am usually in my office from about 8 to 4, except that I have classes to teach in MTThF from 9:10-11:10, and MWF 1:40-2:40. You can drop by any time or talk to me after class about arranging to meet me at another time.

Text:
Calculus: A Complete Course - Finney, Demana, Waits, Kennedy
Make sure that you have the version that covers multi-variable calculus.

Course Description:
In Calculus I and II you learned about derivatives and integrals. Both of these are concepts which help us to understand functions. Derivatives tell us how the functions changes, and integrals tell us how the values of the function add up. What we have learned so far about these concepts only applies to functions of one variable, that is: functions whose values only depend on one number. But it is often the case that the quantity that we are interested in depends on more that one thing. For example, consider the temperature at a given point in Oregon. We can not describe the temperature as a function in one real number, we need two numbers to represent a point in Oregon. Now suppose we want to say something about how the temperature changes as we move from point to point. How can we modify our notion of derivative to understand changes in this two variable function? This is the starting point of multi-variable calculus.

Homework:
It is hard to learn math just by watching a professor talk about it for three or four hours a week. Much of your learning will have to take place outside of class through doing the homework problems and projects. Also, class time will often be spent doing group activities.

I will assign homework approximately once a week. Each assignment will consist of two parts. Part I will consist of more routine problems that are meant to help you become comfortable with the concepts. They will not be graded carefully, but make sure to look at them, they will give you practice with the basic skills that you need to do more complicated problems.

Part II of the homework will consist of more involved problems, giving you chances to look more deeply into the concepts and to get practice expressing mathematical thoughts clearly. You will be expected to write up the required problems carefully; presentation will count.

There will also be two projects. These will be very involved problems and will have very high standards for presentation. You will do them in groups.

Computers and Calculators:
Computers are becoming an important part of Mathematics and science, and so one of the goals of this course will be to gain some familiarity and comfort with computational software. In particular, we will spend some time learning Maple: a powerful mathematical software package.

Class will meet in a computer lab on some days (maybe once every two weeks). And some of the part II homework problems will be done on the computer and turned in electronically.

No particular calculator will be required. In general you will be free to use any calculator that you want to, but be aware that you will always have to show your work clearly (writing "I used my calculator" doesn't count), and give exact answers where possible. Also, the 2D graphing capabilities that you may be used to using will be less useful in this class as most of the graphs we will encounter in this course will be 3 dimensional.

Tests:
There will be three "midterms" on the following dates: Feb 6, March 16, and April 10. There will be cumulative final exam at the end of the semester. It will be at the officially scheduled final time.

You can make up a test ONLY if you have a compelling and well documented reason for missing it.

Your Final Grade:

The above factors will count towards your final grade as follows:

Final: 100 points
Midterms: 50 points each
Projects: 50 points each
Homework and Participation: 150 total points

When ever I return an assignment or test I will announce the cut offs for A-, B-, and C- for that piece of work. The overall cut offs for your final grade will be the sum of the cut offs for each assignment or test. The cut offs will always be at least 90%=A-, 80%=B-, and 70%=C-, but they will often be lower than that.


HERE ARE SAMPLE PROBLEMS AND THEIR ANSWERS

(They are in the form of a pdf file that you can read with the Adode Acrobat Reader, which costs no money.)


Look at this link for information about submitting Maple homework electronically

Homework Assignments:

Due Friday 1/19:
Due Monday 1/29:
Due Friday 2/2:
Due Tuesday 2/13:
Due Tuesday 2/20:
Due Tuesday 2/27:
Due Tuesday 3/6:
Due Tuesday 3/13:
Due Tuesday 4/3:
Due Tuesday 4/10:
Due Friday 4-20: