AP Calculus

 Each of the following topics has at least a practice test, read the description of each topic to see what will be on it. To access the pdf, click on the green link and the pdf will open in another tab.

Limits (Unit 1A) Practice Quiz

  • Various types of limits

  • Determining continuity

  • Using the squeeze theorem

Limits (Unit 1A) Practice Quiz

Limits (Unit 1A) Practice Quiz Answer Key

Derivatives (Unit 1B) Practice Quiz

  • Determining derivatives from graphs and tables

  • Graphing derivatives and anti derivatives

  • Determining differentiability

Derivatives (Unit 1B) Practice Quiz

Derivatives (Unit 1B) Practice Quiz Answer Key

Limits and Derivatives (Unit 1) Practice Test

  • Various types of limits

  • Determining continuity

  • Using various theorems

  • Determining derivatives from graphs and tables

  • Graphing derivatives and anti derivatives

  • Determining differentiability

Limits and Derivatives (Unit 1) Practice Test

Limits and Derivatives (Unit 1) Practice Test Answer Key

Derivatives and Applications (Unit 2) Practice Test

  • Power rule

  • Inverse derivatives

  • Implicit Differentiation

  • Applications of derivatives

Derivatives and Applications Practice Test

Derivatives and Applications Practice Test Answer Key

Applications of Differentiation (Unit 3a) Quiz

  • Finding maximums, minimums, inflection points, intervals of increasing and decreasing, and concavity of functions

  • Use Rolle’s theorem and Mean Value theorem

  • Using L’hospitals

Applications of Differentiation Practice Quiz

Applications of Differentiation Practice Quiz Answer Key

Integrals Introduction (Unit 5) Quiz

  • Finding an integral approximation using MRAM, LRAM, RRAM

  • Writing integrals based on limit definitions

  • Finding exact integrals (using antiderivatives)

  • Finding derivatives of integrals

  • Finding integral approximations using tables

  • Solving word problems using integrals

Integrals Introduction Practice Quiz

Integrals Introduction Practice Quiz Answer Key

Integrals Introduction (Unit 5) Test

  • Finding an integral approximation using MRAM, LRAM, RRAM

  • Finding integral approximations using trapezoids

  • Finding exact integrals

  • Finding derivatives of integrals

  • Finding integral approximations using tables

  • Proving ideas using integrals

  • Complex, multi step word problems (combining derivatives and integrals)

Integrals Introduction Practice Test

Integrals Introduction Practice Test Answer Key

Integrals Application (Unit 6) Practice Test

  • Finding the area of intersections

  • Finding the volume of an object with an irregular base using cross sections

  • Finding the volume of a base rotated around a line

  • Applying concepts in word problems

Integrals Application Practice Test

Integrals Application Practice Test Answer Key

Complex Integrals (Unit 7) Practice Test

  • Using u and dv substitution to solve integrals

  • Using partial fractions to solve integrals

  • Using trig functions and triangles to solve integrals

  • Using trig identities to solve integrals

  • Using a variety of other ways to solve integrals

Complex Integrals Practice Test

Complex Integrals Practice Test Answer Key

Logistics, Differentials, and Polars (Unit 9/10) Practice Test

  • Solving and interpreting logistic differential functions

  • Solving differential equations

  • Using Euler’s step method to evaluate differentials

  • Finding tangent lines of parametric equations

  • Sketching polars

  • Finding area of polars and intersecting areas

  • Finding tangent lines of polars

Logistics, Differentials, and Polars Practice Test

Logistics, Differentials, and Polars Practice Test Answer Key

Sequences and Sums (Unit 11) Practice Test

  • Determining whether or not sequences converge

  • Determining whether or not series converge or diverge using…

    1. Nth term tests

    2. Geometric series tests

    3. Direct comparison test

    4. Integral test

    5. Alternating series theorem

    6. Ratio Test

    7. Nth Root test

    8. Radius of convergence

  • Finding Power Series Representation

  • Finding Taylor Series

  • Finding Maclaurin Series approximations given certain errors

Sequences and Sums Practice Test

Sequences and Sums Practice Test Answer Key