Manhattanville College
Calculus
I Prof. Lefton
Mathematics
1030 Fall, 2006
Course Outline
Textbook:
Varberg/Purcell/Rigdon
Calculus
Prentice Hall Publishers
Topics
to be covered:
Real number line, Cartesian coordinates
Straight lines, functions
Limits and derivatives
Derivative rules, chain rule, implicit
differentiation
Derivatives of the trigonometric functions
Related rates
Mean value theorem and applications
Curve sketching
Maximum - minimum problems
Antiderivatives, integrals, and areas
The Fundamental Theorem of Calculus
Requirements
for course:
Class attendance
Homework assignments
3 tests
Graded Derive problems
Final examination