Instructor:  Clint Smith

Course Description:
 Students taking this course are expected to take the AP Calculus AB exam in the Spring.  AP Calculus covers material comparable to 1^st semester college level calculus course.  Topics covered include:  functions, graphs, and limits, derivatives, and integrals. 

Assessment: 
Grades are based on:                  
20% in class work
30% homework
50% tests and projects

Text:  Calculus 8^th Edition

Author:  Larson, Hotetler, and Edwards 

Publisher:  Houghton Mifflin, 2006

Content:

Limits and Their Properties

A Preview of Calculus

Finding Limits Graphically and Numerically

Evaluating Limits Analytically

Continuity and One-Sided Limits

Infinite Limits

Differentiation

The Derivative and the Tangent Line Problem

Basic Differentiation Rules and Rates of Change

The product and Quotient Rules and Higher-Order Derivatives

The Chain Rule

Implicit Differentiation

Related Rates

Applications of Differentiation

Extrema on an Interval

Rolle's Theorem and the Mean Value Theorem

Increasing and Decreasing Functions and the First Derivative Test

Concavity and the Second Derivative Test

Limits at Infinity

A Summary of Curve Sketching

Optimization Problems

Newton's Method

Differentials

Integration

Antiderivatives and Indefinite Integration

Area

Riemann Sums and Definite Integrals

The Fundamental Theorem of Calculus

Integration by Substitution

Numerical Integration

Logarithmic, Exponential, and Other Transcendental Functions

The Natural Logarithmic Function:  Differentiation

The Natural Logarithmic Function:  Integration

Inverse Functions

Exponential Functions:  Differentiation and Integration

Inverse Trigonometric Functions:  Differentiation

Inverse Trigonometric Functions:  Integration

Differential Equations

Slope Fields and Euler's Method

Differential Equations:  Growth and Decay

Applications of integration

Area of a Region Between Two Curves

Volume:  The Disk Method

Volume:  The Shell Method