ADVANCED PLACEMENT CALCULUS AB/BC 2010-2011

AP Calculus AB and BC

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.

AP Calculus AB & BC multiple choice practice questions

1988 Multiple Choice Questions - Calculus AB (.pdf/349 Kb) Mirror 1
AP Calculus Multiple Choice Practice Questions
AP Calculus AB: Sample Multiple Choice Questions (answers included)
AP Calculus BC: Sample Multiple Choice Questions (answers included)
UH.EDU: 2006 AB - 28 Problems Answer Key Mirror:Questions Answers
UH.EDU: 2006 AB - 17 Problems Answer Key Mirror:Questions Answers
UH.EDU: 2006 BC - 28 Problems Answer Key Mirror:Questions Answers
UH.EDU: 2006 BC - 17 Problems Answer Key Mirror:Questions Answers
UH.EDU: 2008 AB - 28 Problems Answer Key Mirror:Questions Answers
UH.EDU: 2008 AB - 17 Problems Answer Key Mirror:Questions Answers
UH.EDU: 2008 BC - 28 Problems Answer Key Mirror:Questions Answers
UH.EDU: 2008 BC - 17 Problems Answer Key Mirror:Questions Answers
UH.EDU: 2006 AB - Free Response Mirror: Questions
UH.EDU: 2006 BC Practice - Free Response Mirror: Questions

Calculus AB free response practice questions

2010 Free-Response Questions - Calculus AB (.pdf/209K)
2010 Form B Free-Response Questions - Calculus AB (.pdf/198K)
2009 Free-Response Questions - Calculus AB [ Scoring Guidelines ]
2009 Form B Free-Response Questions - Calculus AB [ Scoring Guidelines ]
2008 Free-Response Questions - Calculus AB (.pdf/156K) [ Scoring Guidelines ]
2008 Form B Free-Response Questions - Calculus AB (.pdf/150K) [ Scoring Guidelines ]
2007 Free-Response Questions - Calculus AB(.pdf/112K) [ Scoring Guidelines ]
2007 Form B Free-Response Questions - Calculus AB (.pdf/123K) [ Scoring Guidelines ]
2006 Free-Response Questions - Calculus AB (.pdf/112K) [ Scoring Guidelines ]
2006 Form B Free-Response Questions - Calculus AB (.pdf/123K) [ Scoring Guidelines ]
2005 Free-Response Questions - Calculus AB (.pdf/207K) [ Scoring Guidelines ]
2005 Form B Free-Response Questions - Calculus AB (.pdf/288K) [ Scoring Guidelines ]
2004 Free-Response Questions - Calculus AB (.pdf/166K) [ Scoring Guidelines ]
2004 Form B Free-Response Questions - Calculus AB (.pdf/178K) [ Scoring Guidelines ]
2003 Free-Response Questions - Calculus AB (.pdf/222K)
2003 Form B Free-Response Questions - Calculus AB (.pdf/209K)
2002 Free-Response Questions - Calculus AB (.pdf/214K)
2002 Form B Free-Response Questions - Calculus AB (.pdf/546K)
2001 Free-Response Questions - Calculus AB (.pdf/206K)
2000 Free-Response Questions - Calculus AB (.pdf/219K)
1999 Free-Response Questions - Calculus AB (.pdf/274K)
1998 Free-Response Questions - Calculus AB (.pdf/152K)

Calculus BC free response practice questions

2010 Free-Response Questions - Calculus BC (.pdf/173K)
2010 Form B Free-Response Questions - Calculus BC (.pdf/191K)
2009 Free-Response Questions - Calculus BC [ Scoring Guidelines ]
2009 Form B Free-Response Questions - Calculus BC [ Scoring Guidelines ]
2008 Free-Response Questions - Calculus BC (.pdf/167K) [ Scoring Guidelines ]
2008 Form B Free-Response Questions - Calculus BC (.pdf/149K) [ Scoring Guidelines ]
2007 Free-Response Question - Calculus BC (.pdf/197K) [ Scoring Guidelines ]
2007 Form B Free-Response Questions - Calculus BC  (.pdf/187K) [ Scoring Guidelines ]
2006 Free-Response Questions - Calculus BC  (.pdf/100K) [ Scoring Guidelines ]
2006 Form B Free-Response Questions - Calculus BC  (.pdf/109K) [ Scoring Guidelines ]
2005 Free-Response Questions - Calculus BC (.pdf/220K) [ Scoring Guidelines ]
2005 Form B Free-Response Questions - Calculus BC (.pdf/227K) [ Scoring Guidelines ]
2004 Free-Response Questions - Calculus BC (.pdf/181K) [ Scoring Guidelines ]
2004 Form B Free-Response Questions - Calculus BC (.pdf/202K) [ Scoring Guidelines ]
2003 Free-Response Questions - Calculus BC (.pdf/235K)
2003 Form B Free-Response Questions - Calculus BC (.pdf/223K)
2002 Free-Response Questions - Calculus BC (.pdf/236K)
2002 Form B Free-Response Questions - Calculus BC (.pdf/223K)
2001 Free-Response Questions - Calculus BC (.pdf/194K)

Quizzes (2009 - 2010)
03: Functions (Chapter 1) AB [NOTES]
03: Functions (Chapter 1) BC [NOTES]
04: Limits / Continuity (Chapter 2) [NOTES]
04: Limits / Continuity (Chapter 2) [NOTES]
05: The Derivative as a Function [ NOTES ]
05: The Derivative as a Function [NOTES]
06: Trig Derivatives, Chain Rule [NOTES]
07: Implicit Diff./Chain Rule [NOTES]
08: Linear Approx., Implicit Diff. [NOTES]
09: Related Rates [NOTES]
10: Differentiation Techniques [NOTES]
11: Closed Interval Method [NOTES]
12: Sketching a Function [NOTES]
13: Sketching a Function [NOTES]
14: Optimization [NOTES]
15: Optimization [NOTES]
16: Optimization [NOTES]
17: Optimization: Economics [NOTES]
18: Riemann Sums[NOTES]
19: Definite Integrals
20: Position, Velocity, Acceleration
21: Integration by Substitution
22: Volumes
23: The Donut Problem [NOTES]
24:Known Cross Sections, Washer, Shell
25: Volumes [NOTES]
26:Hyperbolic Functions, Average Value [NOTES]
27:Diff. Equations, Partial Fractions [NOTES]
28:Improper Integrals [NOTES]
29:Arc Length [NOTES]
30:Parametric Forms [NOTES]
31:Calculus with Parametric Forms [NOTES]
32:Calculus in Polar Coordinates [NOTES]
33:Series I [NOTES]
34:Series II
35:Series III
36:Taylor Series [NOTES]

PHP Scripts for Calculus
Estimating InfiniteSeries Numerically

Activities
True/False:Differentiation
Graphing Relationships (.pdf)
Accumulation Functions (.pdf)
Introduction to Slope Fields (.pdf)
Interview: Derivatives and Original Functions
Discovery Project: Fundamental Theorem of Calculus

Links and Downloads
[ Graph Calc Home Page (Windows and Linux versions) ]
[ TI-83/84 Plus BASIC Math Programs ]
[ TI-89 Plus BASIC Math Programs ]
[ CALCULUS PACKAGE TI-89 ]
[ Study Cards Creator Software ]
[ AP Exam Electronic Study Cards ]
[ Calculus Flash Cards ]
[ SAGE: Open Source Mathematics ]
[ Peanut Software ]
[ Graph Paper ]
[ Online Graphing Calculator ]

Presenations/Work by Students
Riemann Sums | Essay by P.Jareonvongrayab '11
Fundamental Thm. of Calculus - Y. Lee '11
IVT, Rolle's, and Mean Value Theorems - H. Kim '12
Population Models - J. Choi '11 and M. Kim '11
Epicycloids and Hypocycloids - Q. Cheng '10 and M. Kim '11
Related Rates - P. Jareonvongrayab
Math Vocab: English - Chinese (by May O. and Queenie C.)
Math Vocab: English - Korean (by JaeYoung C. and Geun Woo K.)
Mirror: Math Vocab - English-Korean (by HyunWoo C. )

Random Class Notes/Handouts
Numerical Estimation of the Slope of a Tangent Line
Handout: The Laws of Limits
Handout: Differentiation Formulas
Handout: Describing Functions from f' and f"
Handout: Applications to Economics
AB Final Exam Review Topics
BC Final Exam Review Topics
AP Exam Tips: AP Calculus AB
Calculus Cheat Sheet
Notes: Arc Length of a Curve
Notes: Euler's Method, The Logistic Model
Notes: Integration by Partial Fractions
Notes: Tests: Integral, Comparison, and Alternating Series
Notes: Absolute Convergence, Ratio and Root Tests
Notes: Power Series
Notes: Representation of Functions using Power Series
Review: Exponential Functions
Review: Method of Cylindrical Shells
Review: Disk and Washer Methods for Finding Volumes
Review:'Average' in Calculus
Review: Slope Fields/Differential Equations
Review: Limits, Continuity, Differentiability
Review: Linear Approximation

Calculus Online Resources
Calculus.Org: resources for the calculus student
S.O.S. Math: Calculus
Wolfram Derivative Calculator
Wolfram Mathematica Online Integrator
Wolfram: Demonstrations Project
Wolfram Interactive Calculus Demos
Visual Calculus: University of Tennessee
Calculus Videos: University of Houston | Dept of Mathematics
Interactive Mathematics Projects using Macromedia Flash
Solids with Known Cross-Sections - Java Applet
IES: Java Applets for Calculus
MIT Open CourseWare: AP Calculus
Univ. of Arizona: Calculus I Resources