Mathematics Math21a
Fall 2002

Philosophy and Procedures

Calculus is the "science of limits." In Math 21a, we believe there are no limits once you know limits. Here are several ways we are implementing that "know limits" philosophy this fall to help you master multivariable calculus.

1. Know limits through coordinated sections: Math 21a is taught in small sections rather than big lectures to allow for more interaction and customization. Trained faculty and teaching fellows lead each section. Classes are available at different times and in different flavors, but the course is designed to make sure that everyone learns the basic core material. Taking a section that emphasizes biochemistry, computer science, or physics applications should be interesting and helpful but not critical. To input your preferences, see the red sectioning link at our website, or type "ssh section@ulam.fas.harvard.edu" at the prompt in your fas account.
2. Know limits through new materials: Math 21a is using a different text than last fall. The second edition of James Stewart's Multivariable Calculus: Concepts and Contexts was tested very successfully last spring and summer. There will also be handouts on topics such as differential equations and computer graphics, as well as supplementary recommended reading for flavored sections.
3. Know limits through projects: You have the option of completing a project due during reading period, or taking a one hour section test then. Projects should be about 5 pages, normally no longer than 10. One possibility is to complete a project from the text. You can also hand in as a project your work based on our handout on using Mathematica software to create computer graphics and to perform calculations. Or you can formulate a project of your own with the advice and consent of your section leader.
4. Know limits through the web: In addition to our own useful website www.courses.fas.harvard.edu/~math21a/ and the links there to others, we will also be using WebWork for some assignments, mostly review and practice problems. From problem templates, this program will give you a question with numbers of your own, check your answers immediately, and let you try again as much as you like.
5. No limits on resurrection grading: The goal is for everyone eventually to master a certain well-defined core of material. Points missed during the term can therefore be earned back on the final examination under the grading scheme for this course. Practice exams and a detailed list of types of problems you should know how to do will be available. Because your final counts for the difference between the points you have accumulated during the term and a fixed target, this system of grading is very kind to those who work along steadily, make mistakes, learn from them, and are then ready for the final. As in any mathematics class, it is extremely risky to try doing little or no work until right before the final.
6. No limits on support during the term: In addition to meeting with your section leader for three hours a week of class, course assistants will set up a fourth hour of recitation where you can go over questions, particularly about problem sets. The Mathematics Question Center also provides help in Loker Common every night from 8pm to 10pm except Fridays and Saturdays. A special kickoff session there on How to Succeed with Calculus will take place on Wednesday, September 25, at 8pm with the Math 21a course head. Your section leader and course head will post office hours, too. You are encouraged to discuss assignment methods with others, but make sure to write up your own answers in your own words. As with any academic work, please remember to cite individuals, texts, or other sources consulted.
7. No limits on your input: Each section is invited to send a different representative each week for a "student council" meeting with the course head to discuss briefly how the course is going. This will usually take place on Thursday mornings. You are also invited to e-mail questions to math21afaq@math.harvard.edu. Answers to Frequently Asked Questions will be posted here.
8. No limits on our calculus guarantee: If you are responsible about completing Math 21a by handing in homework, attending classes, and taking tests, you will have the option to sign up as a Registered Calculus User at Harvard. That means that we will guarantee you support with multivariable calculus in future classes you might take that use material from Math 21a. All you have to do is e-mail your question and we will respond or arrange a meeting within one or two working days.