about

ap-calc

This site contains miscellaneous resources for students and teachers of Advanced Placement Calculus AB and BC. Some of the content was originally put together when I first started teaching in 2005, for the purpose of making classroom materials available to my students on the web. On this page you will find selected tutorials, references, worksheets, multiple choice and free response practice, summer review packets, and links to external resources. I hope you find these materials useful in your teaching or learning. For questions or comments email me at apcalc@pm.me or use the form at the bottom of this page.

This single-page version of the site is not up to date. Please visit apmath.github.io.

course resources



free response


Download and print a complete course and exam description from the College Board web site. Read the sections on Prerequisites and Course Goals. (Requires Acrobat Reader.) Tips on what to bring and what not to bring on the exam day. Read the calculator policy for Calculus AB and BC.

multiple choice


summer review

My notes on pre-requisite content: Preparing for AP Calculus AB
SUMMER REVIEW PACKETS
Multiple Choice Test: 34 problems | KEY INCLUDED*  
Multiple Choice Test: 25 problems | KEY INCLUDED*  
Multiple Choice Test: 25 problems | KEY INCLUDED*  
Multiple Choice Test: 50 problems | KEY INCLUDED*  
Are You Ready For Calculus? Solutions
AP Calculus: Packet 0* Solutions
AP Calculus: Packet 1* Solutions (partial)
AP Calculus: Packet 2*  
AP Calculus: Packet 3
AP Calculus: Packet 4
AP Calculus: Packet 5*
AP Calculus: Packet 6*
AP Calculus: Packet 7*
AP Calculus: Packet 8*
AP Calculus: Packet 9*
AP Calculus: Packet 10*
AP Calculus: Packet 11* Solutions
AP Calculus: Packet 12*  
AP Calculus: Packet 13*  
AP Calculus: Packet 14 (RPI)*  

mathematica labs

Wolfram Mathematica Labs for AP Calculus [Originally created with Mathematica 8.0]
01: Investigating Limits .pdf .nb 15: Dot Product .pdf .nb
02: Rates of Change .pdf .nb 16: Cross Product .pdf .nb
03: The Derivative .pdf .nb 17: Lines and Planes .pdf .nb
04: Derivatives Graphically .pdf .nb 18: Curvature, T(t),N(t), B(t) .pdf .nb
05: Higher Derivatives .pdf .nb 19: Multivariable Functions .pdf .nb
06: Extrema .pdf .nb 20: Partial Derivatives .pdf .nb
07: Inflection Points .pdf .nb 21: The Chain Rule .pdf .nb
08: Implicit Differentiation .pdf .nb 22: The Gradient .pdf .nb
09: Differential Equations .pdf .nb 23: Lagrange Multiplier .pdf .nb
10: Integrals .pdf .nb      
11: Riemann Sums .pdf .nb      
12: Improper Integrals* .pdf .nb      
13: Accumulating Functions .pdf .nb      
14: Sequences and Series* .pdf .nb      
*AP Calculus BC only
Taylor Series with Mathematica (.zip)

Interactive Demonstrations: Calculus Concepts

Download Mathematica Player (Free)

"The Tangent Line Problem" from the Wolfram Demonstrations Project
The Tangent Problem
"The Quotient Rule" from the Wolfram Demonstrations Project
The Quotient Rule
"Discontinuity" from the Wolfram Demonstrations Project
Discontinuity

"Mean Value Theorem" from the Wolfram Demonstrations Project
Mean Value Theorem

"Squeeze Theorem" from the Wolfram Demonstrations Project
Squeeze Theorem

"The Fundamental Theorem of Calculus" from the Wolfram Demonstrations Project
The Fundamental Theorem of Calculus
"Average Value of a Function" from the Wolfram Demonstrations Project
Average Value of a Function
"Extreme Value Theorem" from the Wolfram Demonstrations Project
Extreme Value Theorem
"Integral Mean Value Theorem" from the Wolfram Demonstrations Project
Integral Mean Value Theorem
"Intermediate Value Theorem" from the Wolfram Demonstrations Project
Intermediate Value Theorem
"Integration by Riemann Sums" from the Wolfram Demonstrations Project
Riemann Sums: Integration
"Area Between Curves" from the Wolfram Demonstrations Project
Area Between Curves
"Volumes Using the Disc Method" from the Wolfram Demonstrations Project
Disk Method
"Solids of Known Cross Section" from the Wolfram Demonstrations Project
Solids of Known Cross Sections
"Volumes of Revolution Using Cylindrical Shells" from the Wolfram Demonstrations Project
Shell Method
"Plot of a Geometric Sequence and Its Partial Sums" from the Wolfram Demonstrations Project
Geometric Sequence
"Graphs of Taylor Polynomials" from the Wolfram Demonstrations Project
Taylor Polynomials
"L'Hospital's Rule for 0/0 Forms" from the Wolfram Demonstrations Project
L'Hopital's Rule 0/0

random projects


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