(AP) Calculus Page

AP CALCULUS RESOURCES

TextBook Info | AP Calculus AB & BC Pre-Requisites

Quizzes (2014 – 2015) – AB
00: Pre-requisites [ Key ]
01: Chapter Zero (1) [ Key ]
02: Chapter Zero (2) [ Key ]
03: Chapter Zero (3) [ Key ]
04: Limits (I) [ Key ]
05: Infinite Limits [Key ]
06: Limits (II) [ Key ]
07:Limits / IVT [ Key ]
08:Trig Limits / IVT [ Key ]
09:Limits / Continuity [ Key ]
10:IVT / Continuity [ Key ]
11:Slope at a Point [ Key ]
12:The Derivative (I) [ Key ]
13:Derivative (II) [ Key ]
14:Tangent Lines (I) [ Key ]
15:Tangent Lines (II) [ Key ]
16:Trig Derivatives [ Key ]
17:Chain Rule (I) [ Key ]
18:Chain Rule (II) [ Key ]
19:Implicit Differentiation [ Key ]
20:Implicit Differentiation (I) [ Key ]
21: Logs/Exponential [ Key ]
22: Related Rates (I) [ Key ]
23: Related Rates (II) [ Key ]
24: Related Rates/Linear Approx. [ Key ]
25: Sketching f from f’, f” [ Key ]
26: Optimization [ Key ]
—– end of fall term —–

Quizzes (2014 – 2015) – BC
00: Pre-requisites [ Key ]
01: Chapter Zero [ Key ]
02: Limits [ Key ]
03: Limits (2) [ Key ]
04: Limits/Continuity [ Key ]
05: IVT / Continuity [ Key ]
06: Slope at a Point [ Key ]
07: Derivative as a Function [ Key ]
08: The Derivative Graphically [ Key ]
09: Definition of Slope [ Key ]
10: Tangent Line [ Key ]
11: The Derivative [ Key ]
12: Trig Derivatives [ Key ]
13: Chain Rule [ Key ]
14: Trig / Chain Rule [ Key ]
15: Differentiation / Implicit [ Key ]
16: Implicit Differentiation [ Key ]
17: Log Differentiation [ Key ]
18: Inverses/Exponential [ Key ]
19: Related Rates (I) [ Key ]
20: Related Rates (II) [ Key ]
20Lab: Taylor Polynomials [ Key ]
21: Sketching f from f’,f” [ Key ] [ Mathematica ]
22: Optimization (I) [ Key ]
23: Optimization (II) [ Key ]
24: Rectilinear Motion [ Key ]
25: Optimiz./Sketching/MVT [ Key ] [ Mathematica ]
26: Misc: f, f’,f”. [ Key ] [ Mathematica ]
—– end of fall term —–

Quizzes (2010 – 2011)
01: Slope numerically [ Key ]
02: Limits and Continuity [ Key ]
03: Intermediate Value Thm. [ Key ]
04: The Derivative [ Key ]
05: Differentiability/Continuity [ Key ]
06: Shortcuts to Differentiation [ Key ]
07: Trigonometric Functions [ Key ]
08: The Chain Rule [ Key ]
09: Implicit Differentiation [ Key ]
10: Inverse Trig/Log/Exp [ Key ]
11: Related Rates [ Key ]
12: Linear Approximation [ Key ]
13: Sketching f from f’ and f” [ Key ]
14: Linear Approximation – II [ Key ]
15: Sketching f from f’ and f” [ Key ]
16: Optimization Problems [ Key ]
17: Newton & AntiDerivatives [ Key ]
18: Area Problems [ Key ]
19: The Definite Integral [ Key ]
20: Fundamental Thm of Calculus [ Key ]
21: Areas, Solids of Revolution [ Key ]
22: Solids of Revolution [ Key ]
23: Solids of Revolution [ Key ]
24: Solids / Average Value [ Key ]
25: Solids/Known Cross-Sections [ Key ]
26: Hyperbolic Functions (BC) [ Key ]
27: L’Hospital’s Rule / FTC (BC) [ Key ]
28: Diff. Equations/ Int. by Parts [ Key ]
29: Diff. Equations/Slope Fields
30: Euler’s Mthd/Partial Fractions [ Key ]
31: ArcLength [ Key ]
32: Parametric Curves [ Key ]
33: Polar Coord./Improper Integrals [ Key ]
34: Series I [ Key ]
35: Taylor Series [ Key ]

Presenations/Work by Students
Golden Ratio & Fibonacci Sequence – by X. Qin



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

Random Class Notes




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PHP Scripts for Calculus
Estimating InfiniteSeries Numerically

Worksheets/Activities
00: True/False:Differentiation
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 Inverse
09: Differentiation
10: Limits and Continuity
11: Chain Rule
12: Implicit Differentiation
13: Inverse Trig Derivatives
14: Exp/Log Derivatives
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

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.





Calculus Online Resources
Notre Dame Calculus I Applets
Calculus.Org: resources
S.O.S. Math: Calculus
Wolfram Derivative Calculator
Wolfram Mathematica Online Integrator
WolframAlpha.com
Wolfram: Demonstrations Project
Wolfram Interactive Calculus Demos
Visual Calculus: University of Tennessee
Calculus Videos: University of Houston
Interactive Mathematics Projects using Flash
Solids with Known Cross-Sections – Java Applet
MIT Open CourseWare: AP Calculus
Univ. of Arizona: Calculus I Resources
Links and Downloads
[ GCalc: Java Graphing System ]
[ Graph Calc Home Page ]
[ 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 ]
[ Printable Paper ]
[ Graphe Easy – Win Plotting Utility ]