5 steps to a 5 book

• Diagnostic Exam
• Chapter 5 - Limits and Continuity
• Chapter 6 - Differentiation
• Chapter 7 - Graphs of Functions and Derivatives
• Chapter 8 - Applications of Derivatives
• Chapter 9 - More Applications of Derivatives
• Chapter 10 - Integration
• Chapter 11 - Definite Integrals
• Chapter 12 - Areas and Volumes
• Chapter 13 - More Applications of Definite Integrals
• Practice Exam 1
• Practice Exam 2

apex

• Topic 1: The Foundations of Calculus
  • Diagnostic and Study Plan
  • Practice Questions
  • Functions
    • Study: Functions
    • Study: Functions From Functions 1
    • Study: Functions From Functions 2
  • Graphical Symmetry
    • Study: Symmetry
  • Patterns in Graphs
    • Study: Families of Functions and Their Graphs
• Topic 2: Limits and Continuity
  • Diagnostic and Study Plan
  • Practice Questions
  • Limits of Functions
    • Study: Limits of Functions
    • Study: Determining Limits Analytically
  • Asymptotic and Unbounded Behavior
    • Study: Asymptotes as Limits
    • Study: Comparing Relative Magnitudes of Functions
    • Study: Limits That Do Not Exist
  • Continuous Functions
    • Study: Continuity
    • Study: The Intermediate Value Theorem and the Extreme Value Theorem
• Topic 3: Derivatives
  • Diagnostic and Study Plan
  • Practice Questions
  • Derivatives at a Point
    • Study: Rates of Change as Slopes and Limits
    • Study: The Derivative at a Point
  • Computing Derivatives
    • Study: Computing Derivatives
    • Study: Derivatives of Sums, Products and Quotients of Functions
  • Derivatives as Functions
    • Study: The Derivative as a Function
    • Study: Relating the Graph of a Function and Its Derivative
    • Study: The Relationship Between Continuity and Differentiability
    • Study: Theorems: Rolle and Mean Value
  • Second Derivatives and Concavity
    • Study: The Second Derivative and Concavity
  • Chain Rule and Implicit Differentiation
    • Study: The Chain Rule
    • Study: Implicit Differentiation
• Topic 4: Applications of Derivatives
  • Diagnostic and Study Plan
  • Practice Questions
  • Extrema and Optimization
    • Study: Extrema and Number Line Tests
    • Study: Optimization
  • Tangents and Normal Lines
    • Study: Tangent and Normal Lines
    • Study: Local Linearity and Tangent Line Approximation
  • Rates of Change
    • Study: Rates of Change as Derivatives
    • Study: Related Rates
  • Rectilinear Motion
    • Study: Rectilinear Motion
• Topic 5: Integrals
  • Diagnostic and Study Plan
  • Practice Questions
  • Integration
    • Study: Area Under a Curve: Riemann Sums
    • Study: Numerical Approximations to Area
    • Study: The Definite Integral
    • Study: Properties of the Definite Integral
    • Study: The Definite Integral as Accumulated Change
  • Antiderivatives
    • Study: The Aatiderivative
    • Study: Antiderivatives of Composite Functions
    • Study: Definite Integrals of Composite Functions
    • Study: Analyzing Functions Defined as Definite Integrals
  • Fundamental Theorems of Calculus
    • Study: The Fundamental Theorems of Calculus
    • Study: Definite Integrals of Composite Functions
    • Study: Analyzing Functions Defined as Definite Integrals
  • Substitution
    • Study: Definite Integrals of Composite Functions
    • Study: Analyzing Functions Defined as Definite Integrals
• Topic 6: Applications of Integrals
  • Diagnostic and Study Plan
  • Practice Questions
  • Areas and Average Value
    • Study: Area Between Curves
    • Study: More About Areas
  • Volume
    • Study: Volumes of Revolution
    • Study: Other Cross Sections
  • Net and Total Distance
    • Study: Rectilinear Motion Revisited
  • Other Applications
    • Study: Other Cross Sections
    • Study: Other Applications of the Definite Integral
• Topic 7: Transcendental Functions, Diff-Eq and Slope Fields
  • Diagnostic and Study Plan
  • Practice Questions
  • Inverse Trigonometric Logarithmic and Exponential Functions
    • Study: Inverse Functions and Their Derivatives
    • Study: Inverse Trigonometric Functions
    • Study: Review of Exponential and Logarithmic Functions
  • Calculus with Transcendental Functions
    • Study: Derivatives of Logarithmic and Exponential Functions
    • Study: Analysis of Curves Involving Transcendental Functions
    • Study: Integrating Transcendental Functions
    • Study: More Definite and Indefinite Integrals
  • Exponential Growth and Decay
    • Study: Differential Equations and Slope Fields
    • Study: Exponential Growth and Decay
  • Separable Differential Equations and Slope Fields
    • Study: Differential Equations and Slope Fields
    • Study: Separable Differential Equations Used in Modeling
    • Study: More Applications of Differential Equations
• Key Terms

practice free response questions

• 2010
• 2010B
• 2009
• 2009B
• 2008
• 2008B
• 2007
• 2007B
• 2006
• 2006B
• 2005
• 2005B
• 2004
• 2004B