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General Expectations: The Math Department's general expectations of students.

Text: The text for this course is Calculus, Early Vectors by James Stewart, Brooks-Cole, 1999.

Midterms and Final: Course grades will be based on homework, labs, two midterms, and a final. The Final will be comprehensive, and will be on Tuesday, May 13 from 9:45 to 11:45.

Homework: Exercises for homework will be assigned each week and collected on Tuesdays. In addition to the assigned problems students are expected to do an appropriate amount of "drill and practice" on their own in order to become proficient with the concepts and techniques introduced in class. The odd numbered problems generally have answers in the back of the book. If you are unable to understand how the book got its answer, it is your responsibility to find out: see the instructor or TA in his office, or visit the tutor room (PSB 315) for assistance or work with your fellow students. For the homework to be turned in, it is acceptable to work together, but each person should independently write up his/her own work.

Week 1-3, Inverse Functions: Inverse functions (4.2), logarithms and exponentials (6.6), exponential growth and decay (4.5), differentiation rules and applications for logarithm and exponential functions (4.1) and (4.4), inverse trigonometric functions (4.6), and l'Hospital's rule (4.8).

Week 4-7, Techniques of Integration. Integration by parts (8.1), trigonometric integrals (8.2), trigonometric substitution (8.3), rational functions and partial fractions (8.4), rationalizing substitutions (8.5), strategy for integration (8.6), and improper integrals (8.9).

We will not cover all the techniques of integration in Sections 8.2-8.4 in detail, but the students should gain some facility at integration. Section 8.7 (use to integral tables and computer algebra systems) and Section 8.8 (numerical mathods) will be covered in the lab.

Week 8-12, Infinite sequences and series. Convergence of infinite sequences and series, power series, Taylor and MacLaurin series (Chapter 10).

Week 13-15, Differential equations. First order separable and linear differential equations (9.1 and 9.2) and second order linear differential equations with constant coefficients (15.1-15.3).