Course Description

• Review of functions.
• Limits and continuity of functions.
• Composite functions.
• Definition of the derivative.
• Derivatives of algebraic and trigonometric functions.
• Rules of differentiation; sum rule, difference rule, product rule, quotient rule, chain rule.
• Rolle's theorem and the mean value theorem.
• Applications of the derivative; equations of motion, linear approximation of functions, error analysis, topics from geometry, maxima and minima of functions, curve sketching, related rates.
• L'hopital's rule.
• Antidifferentiation and the indefinite integral.
• Fundemental theorem of clculus.
• Definite integrals. Integration by substitution.
• Applications of integration.
• Areas and volumes.
• Introduction to a symbolic manipulation software.

Prerequisites

• "C-" or better in Math 109 or Math placement test

Classes

4 semester hours