SYLLABUS

MATH 152 Calculus II Fall 2001 Instructor: Richard Stark, SB 172, ext. 4371, email: richard@stark.smcm.edu Office Hours: M-W-F 10:30 - 11:30 a.m. Other times are available upon appointment. Time and Place: TTh 10 - 12, SH 160 Text: Salas, Hille, Etgen: Calculus -- One Variable Content: This is the continuation of first-semester Calculus. I plan to cover most of the topics contained in chapters 6 - 11. Applications of the Integral: Areas, volumes (parallel cross sections, disc method, shell method), center of mass, centroid, work. Transcendental functions: Inverse functions, the logarithmic and exponential functions, exponential growth and decay, the inverse trigonometric functions. Integration techniques: Integration by parts, trigonometric integrals, trigonometric substitutions, partial fractions, numerical integration, differential equations. Polar coordinates and parametric equations. Sequences: The notion of limit, important limits, indeterminate forms, improper integrals. Infinite series:Convergence and convergence tests, absolute and conditional convergence, Taylor series and Taylor's formula, power series, the binomial series. Classes: There will be lectures, discussions, and working of problems. You should prepare for each class by reviewing the material and by reading ahead in the textbook. In addition, you should work as many as possible of the assigned problems. Homework problems, although they do not count towards your grade, may be turned in for correction. Bring your questions and comments and feel free to speak up in class. Help: Don't hesitate to come to my office for help, or for a chat. If you cannot make my office hours, please call or stop by to see whether I am available. Evaluation: There will be four tests, a final, and a number of unannounced in-class or take-home quizzes. Each test will count for 60 points, the final counts for 120 points, and there will be a total of 60 points available from quizzes. A -- 375 points or more B -- 330 - 374 points C -- 285 - 329 points D -- 240 - 284 points Tests: Dates for tests will be announced in class. Final exam --- Thursday, December 13, 9:00 - 11:00 a.m.