Course Description

This course is devoted to the study of elementary analytic geometry, functions, limits, continuity, derivatives, antiderivatives, and definite integrals.

Course Documents

Course Outline

(Sections listing are from Stewart's Calculus, 9th Edition)

• 1.4: The Velocity and Tangent Line Problems
• 1.5: The Limit of a Function
• 1.6: Calculating Limits
• 3.4: Limits at Infinity
• 1.8: Continuity
• 2.1: The Derivative
• 2.2: The Derivative as a Function
• 2.3: Rules for Differentiation-The Power Rule, Product and Quotient Rules
• 2.4: Derivatives of Trigonometric Functions
• 2.5: The Chain Rule
• 2.6: Implicit Differentiation
• 2.8: Related Rates
• 2.9: Linear Approximation
• 3.1: Maximum and Minimum Values
• 3.2: The Mean Value Theorem
• 3.3: How Derivatives Affect the Shape of a Graph
• 3.7: Optimization Problems
• 3.9: Antiderivatives
• 4.1: Definite Integrals: The Definition
• 4.2: Definite Integrals: Approximating with Riemann Sums
• 4.3: The Fundamental Theorem of Calculus
• 4.4: Indefinite Integrals
• 4.5: The Substitution Rule
• 5.1: Areas Between Curves
• 5.2: Volumes
• 5.4: Work
• 5.5: Average Values