Mathematics 109: Calculus and Analytic Geometry I (Spring 2006)

Lecture: Mon-Wed-Fri 1:30pm-2:35pm (Room HRN-509)

Instructor: Allan Cruse
Phone: (415) 422-6562
Office: 212 Harney Science Center
Office Hours: (see my homepage)

Course Assistant: Naod Shifferaw


This is the first in a three-semester course-sequence (Math 109-110-211) covering standard topics in introductory calculus for college undergraduates. It is assumed that each student has previously studied algebra, geometry, and trigonometry, and has encountered examples in which mathematical principles were used to analyze real-world situations (such as in elementary physics or accounting). With that background, this course explores the role of continuous processes and limits in devising basic calculation-rules for analyzing problems which involve variables that undergo change and that may attain extreme values. Specific topics include differentiation of algebraic, exponential, logarithmic, trigonometric and hyperbolic functions (and their inverses); implicit differentiation; curve-sketching; indeterminate forms; velocity and acceleration; optimization, related rates, and other applications of derivatives; introduction to integrals and the fundamental theorem of calculus, with application to the calculation of areas, volumes, and averages. The course will consist of readings, lectures, discussions, demonstrations, quizzes, and frequent homework exercise-sets.


Learning Outcomes:

Course Resources




Last updated on 05/03/2006