Swartz Creek High School Calculus

College Board Links
AP Calculus Home Page
2000-2003 Free-Response Questions and Solutions
Course Description
Use of Graphing Calculators in AP Calculus

Other Calculus Links
Free AP Calc CD-ROM (You pay the shipping)
Visual Calculus (**** Great site from U of Tennessee Math Dept.)
Calculus-Help.com (from Michael Kelley, author of Idiot's Guide to Calculus)
Karl's Calculus Tutor
Online Function Grapher

Course & Textbook Links
Course Syllabus - Includes classroom rules and grading procedures. (.pdf)
AP Calculus AB Topical Outline (.pdf)
Our Textbook's Homepage (Includes quizzes, history, and review materials)
Skills Mastery Quizzes

  Chapter P: Preliminaries - Assignment Sheet (.pdf)
- Preliminaries Resources
  • P.1: Lines
  • P.2: Functions and Graphs
    -     Piecewise Defined Functions
  • P.3: Exponential Functions
    -     Tutorial
  • P.4: Inverse Functions and Logarithms
  • P.5: Trig Functions and Their Inverses
  • P.6: Parametric Equations
    -     Examples
  • P.7: Modeling Change
  Chapter 1: Limits and Continuity - Assignment Sheet (.pdf)
  • 1.1: Rates of Change and Limits
  • 1.2: Finding Limits and One-Sided Limits
  • 1.3: Limits Involving Infinity
  • 1.4: Continuity
  • 1.5: Tangent Lines
  Chapter 2: Derivatives - Assignment Sheet (.pdf)
  • 2.1: The Derivative as a Function
    - Derivatives of Constants, Powers, Multiples, & Sums
    - Differentiability implies Continuity
    - Intermediate Value Property of Derivatives

    Links:     Definition of Derivative | Excel Derivative Grapher
  • 2.2: The Derivative as a Rate of Change
    - Instantaneous Rate of Change
    - Position, Velocity, Speed, Acceleration, & Jerk
    - Cost of Production & Marginal Cost
  • 2.3: Derivatives of Products, Quotients, and Negative Powers
    - Product Rule & Quotient Rule
  • 2.4: Derivatives of Trigonometric Functions
  • 2.5: The Chain Rule
    - "Outside-Inside" Rule
    - Slopes of Parametrized Curves
  • 2.6: Implicit Differentiation
    - Power Rule for Rational Powers
  • 2.7: Related Rates
    - Related Rate Problem Strategy
  • 2.8: Derivatives of Inverse Trig Functions
  • 2.9: Derivatives of Exponential and Log Functions
  Chapter 3: Applications of Derivatives
  Chapter 4: Integration - Assignment Sheet (.pdf)
  Chapter 5: Application of Integrals - Assignment Sheet
  Chapter 6: Transcendental Functions and Differential Equations - Assignment Sheet
  • 6.1: Logarithms
  • 6.2: Exponential Functions
  • 6.3: Linear First-Order Differential Equations
    -     Slope Fields
  • 6.4: Euler's Method; Population Models
    -     TI-83 Program
  • 6.5: Hyperbolic Functions
  Chapter 7: Integration Techniques, L’Hôpital’s Rule,and Improper Integrals - Assignment Sheet