MATH 31
Calculus II

Instructor:       Dave Bachman
Office:              Avery 220
Office hours:   T, Th 2-3, and by appointment
Office phone:  (909) 607-7961
Email:              bachman@pitzer.edu
Web:                http://pzacad.pitzer.edu/~dbachman/m31/syllabus.html (this page)

Text: There is no text for the class, since we will be "discovering" the material as we go. You will be encouraged to consult any outside textbook only after we have covered the relevant material (such as when studying for exams)

Worksheets: Most of class time will be spent working on difficult problems, designed to lead you to discover the material on your own. You will be expected to work together on these. Solutions to these problems will be turned in individually, on the day when the next worksheet is distributed.

Homework: You are required to do all homework problems. Problems that go along with a given worksheet are due at midnight on the day the next worksheet is distributed. Homework will be done on-line at https://pzwork.pitzer.edu/webwork2/Math31/.

Calculators: All problems are designed to be done without the use of a calculator. As the temptation is too great for some students, calculator use will be banned.

Attendance: Although no official role will be taken you will need to be in class to do the worksheets, which is a significant portion of your grade.

Exams: In addition to the final exam (Thursday, 5/16, 9am-12) there will be two in-class mid-term exams, tentatively scheduled for February 25th and April 8th.

Grades: Exams will be individually curved, if appropriate. Class grades will be computed by giving the following weights: 23% Midterm 1, 23% Midterm 2, 23% Homework, 31% Final.

Learning Outcomes: Upon completion of this class, students are expected to
    1. know the Fundamental Theorem of Calculus
    2. be proficient in a variety of techniques of integration, including substution, integration by parts, partial fractions, etc.
    3. use integrals to solve a variety of applied problems, such as center of mass, average value of a function, volume calculations, etc.
    4. understand the concepts of series and sequence
    5. know the standard tests for convergence of series
    6. be able to approximate functions by power series.
    7. use power series representations of functions to solve basic differential equations.