calculus

AP Calculus follows the curriculum set forth by the College Board. The AB level is worth the equivalent of one semester of college credit upon successful completion of the AP examination offered in May. The BC level, which is an extension of AB, is worth the equivalent of two semesters of college credit. AB topics include the library of functions (review from precalculus), limits, the derivative, applications of the derivative, definite and indefinite integrals, applications of integration, etc. The BC curriculum adds advanced techniques of integration, series and sequences, calculus of parametric and polar curves, etc.

calculus links
about ap calculus ab
about calculus bc
about the ab exam
about the bc exam
calculator policy
course description (ced)
differences: ab vs bc
ab past questions
bc past questions
mit opencourseware
wolfram demos for calculus
video calculus from uh.edu
univ. of arizona: calculus I resources
js applets for calculus
geogebra applets for calculus
wolfram derivative calculator
wolframalpha.com

tutorials on selected topics
01: Limits and Continuity
02: Numerical Estimation of Slope
03: Differentiability
04: Linear Approximation
05: Describing f from f' and f''
06: Firm Theory Applications
07: 'Average' in Calculus
08: Disk and Washer Methods
09: Method of Cylindrical Shells
10: Sketching Slope Fields
11: Measuring Areas with Limits
12: Notes on the FTC
13: Known X-Sections

references
00: Review of Algebra
01: Summary: The Laws of Limits
02: Cheat Sheet: Differentiation
03: AP Exam Tips: AP Calculus AB
04: Derivatives and Limits
05: English - Korean Vocabulary
06: English - Chinese Vocabulary
07: Stuff You Must Know Cold
08: *Polar and Parametric Note Cards
09: Pre-Requisite Topics
10: AP Calculus Formulas
11: TI-84/89 USB Connection
12: *Final Notes: BC Calculus
13: *Taylor Polynomials and Series
14: *Convergence Flowchart v1.0
15: AP Calculus AB Study Sheets
16: *Convergence Flowchart v2.0
17: TI-84 Tutorial
worksheets/activities
01: Self-Diagnostic Test
02: Pre-requisites Test
03: Extrema, MVT I
04: Extrema, MVT II
05: Derivatives & Original Functions
06: Fundamental Thm of Calculus
07: Continuity and Piecewise Functions
08: Derivative of the Inverse Function
09: Differentiation
10: Limits and Continuity
11: Chain Rule
12: Implicit Differentiation
13: Inverse Trig Derivatives (incl. key)
14: Exp/Log Derivatives (incl. key)
15: Related Rates
16: Optimization
17: Linear Approximation
18: Areas/Solids
19: Volumes of Solids
20: Known X-Sections
21: Separation of Variables
22: You see this...you do... (AB)
23: Slope Fields
24: You see this...you do... (BC)
25: Limits and Derivatives
26: Power Series, Lagrange Error Bound
27: Taylor Series, Lagrange Error Bound
28: Series, Taylor Series
29: Polar Coordinates
30: Optimization I
31: Rectilinear Motion
32: L'Hospital's Rule
33: Separable Equations
34: U-Substitution
35: Area between Curves
36: Polar / Parametric
37: More Related Rates

comprehensive review material
01: Course Review Worksheets
02: Miscellaneous Chapter Review
03: AP Style: BC Review
04: AP Style: AB Review
05: Calc AB: Worksheets/Free Resp.

free response questions

Calculus AB FRQ
2024 Form A ( Key ) ( Solutions )
2023 Form A ( Key ) ( Solutions )
2022 Form A ( Key ) ( Solutions )
2021 Form A ( Key )
2019 Form A ( Key ) ( Solutions )
2018 Form A ( Key ) ( WM Key )
2017 Form A ( Key ) ( Solutions )
2016 Form A ( Key ) ( Solutions )
2015 Form A ( Key ) ( Solutions )
2014 Form A ( Key ) ( Solutions )
2013 Form A ( Key ) ( Solutions )
2012 Form A ( Key ) ( Solutions )
2011 Form A ( Key ) ( Solutions )
2011 Form B ( Key )
2010 Form A ( Key )
2010 Form B ( Key )
2009 Form A ( Key )
2009 Form B ( Key )
2008 Form A ( Key )
2008 Form B ( Key )
2007 Form A ( Key )
2007 Form B ( Key )
2006 Form A ( Key )
2006 Form B ( Key )
2005 Form A ( Key )
2005 Form B ( Key )
2004 Form A ( Key )
2004 Form B ( Key )
2003 Form A ( Key )
2003 Form B ( Key )
Calculus BC FRQ
2024 Form A ( Key ) ( Solutions )
2023 Form A ( Key ) ( Solutions )
2022 Form A ( Key ) ( Solutions )
2021 Form A ( Key )
2019 Form A ( Key ) ( Solutions )
2018 Form A ( Key ) ( WM Key )
2017 Form A ( Key ) ( Solutions )
2016 Form A ( Key ) ( Solutions )
2015 Form A ( Key ) ( Solutions )
2014 Form A ( Key ) ( Solutions )
2013 Form A ( Key ) ( Solutions )
2012 Form A ( Key ) ( Solutions )
2011 Form A ( Key ) ( Solutions )
2011 Form B ( Key )
2010 Form A ( Key )
2010 Form B ( Key )
2009 Form A ( Key )
2009 Form B ( Key )
2008 Form A ( Key )
2008 Form B ( Key )
2007 Form A ( Key )
2007 Form B ( Key )
2006 Form A ( Key )
2006 Form B ( Key )
2005 Form A ( Key )
2005 Form B ( Key )
2004 Form A ( Key )
2004 Form B ( Key )
2003 Form A ( Key )
2003 Form B ( Key )
More FR Practice
UH: 2009 - AB FR ( Key )
UH: 2009 - BC FR
Sets of Free Response: AB

multiple choice questions

from the collegeboard
1988 - AP Calculus AB ( MIRROR )
1998 - AP Calculus AB ( MIRROR )
Sample Questions: College Board

AP Calculus AB/BC: ap-calc.github.io
300 Questions: ap-calc.github.io
130 Questions: ap-calc.github.io
1997 - AP Calculus AB - MOCK EXAM

AP Calculus AB/BC MISC. SOURCES
01. AB/BC | 20 Sample Questions
02. AB/BC | 32 Sample Questions (key incl.)
03. AB/BC | 11 Sample Questions
04. AB/BC | 75 Questions (20 Sets) (key incl.)
05. AB/BC | 14 Sample Problems (key inc.)
06. AB/BC | 20 Problems MC/True/False
07. AB/BC | 32 Sample Problems
08. AB/BC | 19 Sample Problems
09. AB/BC | 17 Solved Graphing Problems (AB)
10. AB/BC | Full Exam (AB Level)
11. AB/BC | 41 Sample Problems (AB)
ap exams: uh.edu
UH | AB 2006 | Exam 1 | Full
UH | AB 2006 | Exam 2 | Full
UH | AB 2006 | Exam 3 | MC
UH | AB 2006 | Exam 4 | MC
UH | AB 2006 | Exam 5 | MC
UH | BC 2006 | Exam 1 | Full (FR Key)
UH | BC 2006 | Exam 2 | Full (FR Key)
UH | BC 2006 | Exam 3 | MC
UH | BC 2006 | Exam 4 | MC
UH | BC 2006 | Exam 5 | MC
UH | AB 2008 | Exam 1 | MC
UH | AB 2008 | Exam 2 | MC
UH | AB 2008 | Exam 3 | MC
UH | AB 2008 | Exam 4 | MC
UH | AB 2008 | Exam 5 | MC
UH | BC 2008 | Exam 1 | MC
UH | BC 2008 | Exam 2 | MC
UH | BC 2008 | Exam 3 | MC
UH | BC 2008 | Exam 4 | MC
UH | BC 2008 | Exam 5 | MC
Classroom Polling
"Good Questions": Calculus
Math Quest: Differential Calculus
Math Quest: Integral Calculus

summer work before ap calculus

My notes on pre-requisite content: Preparing for AP Calculus AB

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
P 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)