This course is about differential calculus of functions of a single variable. The topics we will study include: limits, rates of change, continuous functions, tangent lines, derivatives, rules of differentiation, the chain rule, implicit differentiation, related rates, applications of derivatives (including optimization and curve sketching), antiderivatives, indefinite and definite integrals, and the fundamental theorem of calculus.

We will cover Chapters 2, 3, 4, and 5 of Thomas' Calculus. The supplementary book, How to Ace Calculus, serves as a highly readable (and lighthearted) guide to the same topics. Note that we are skipping Chapter 1; it is expected that you are already familiar with the review material covered there. The same background material is sketched out in Chapter 5 of How to Ace Calculus. If you have trouble with any of these topics, please come see me in my office hours ASAP so that we can get you caught up.

There are no calculators allowed on any of the exams.

It is possible that these test dates may change slightly, but the exact dates for each test will be finalized at least 10 days in advance of each test. There will be only one catch-all make-up test at the end of the semester. A student who misses a test without a valid, acceptable excuse (accompanied by documented proof, such as a medical note) will receive a score of zero on that test. See http://www.msu.edu/unit/ombud/excuses.html for information about acceptable excuses. It is not recommended to miss more than one test. Such instances, if they arise, will be dealt with on a case-by-case basis, and may include my recommendation that the student withdraw from the course.

All Math 132 students are required to take the Gateway Exams. There are two during the semester. The first consists of questions covering algebra. A student may take it once a day until he/she passes. The first Gateway exam opens on September 7 and runs through September 30. The second Gateway exam begins on October 3 and ends on October 28. It covers elementary differentiation techniques. Students who pass the gateway exams within the first two weeks (that is, by September 21 and October 19, respectively) earn a 2% bonus (to the final grade) for each. If a student passes a Gateway exam, but after the first two weeks (and before it closes), there is no point score adjustment. Failure to pass a Gateway exam results in a 2% penalty to your final grade. More information can be found at http://www.math.msu.edu/Cstudent/Gateway/index.html.

• You should try to do all of the problems on your own before getting together with others. It does not benefit you (on exams and in the real world when you need to use math) to simply get solutions from your classmates! In fact, there is research suggesting that group work is much more productive when everyone has thought about the problems before getting together.
• Everyone must turn in their own solutions. In other words, you should write up your final solutions in the privacy of your own room (or your own library, cafe, bar, roof, etc.).

If there is a homework problem which you are unable to solve even after thinking about it hard (and after reading the relevant section of the book), there are several resources for help:

• Your classmates
• Office hours, both mine and those of the other Math 132 instructors. We would be happy to help you out if you are stuck, but we will not answer questions about problems that you have yet to think about!
• The Math Learning Center, located on the first floor of the A-Wing of Wells Hall. For hours of operation and for more information, see http://www.math.msu.edu/Cstudent/LearningCenter/index.html

Students are reminded that the University's policy concerning academic integrity is covered in the Spartan Life booklet, General Student Regulations. According to the handbook,

"no student shall claim or submit the work of another as one's own"

For more information about this and other scholarship issues, please consult the handbook or visit the Spartan Life web sites at http://www.vps.msu.edu/SpLife/reg3.htm and click on the link "Integrity of Scholarship and Grades" under the heading 1.00 PROTECTION OF SCHOLARSHIP AND GRADES.