(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 I [ Key ] —– end of fall term —– 27: Optimization II [ Key ] 28: Rectilinear Motion [ Key ] 29: MVT / Rolle’s Theorem [ Key ] 30: Optimization, MVT, Motion [ Key ] 31: Misc. Differential Calc [ Key ] 32: Riemann Sums [ Key ] 33: The Rectangle Method(1) [ Key ] 34: The Rectangle Method(2) [ Key ] 35: The Definite Integral(3) [ Key ] 36: The Definite Integral(4) [ Key ] 37: U-Substitution [ Key ][ Mathematica ] 38: Area Problem / FTC [ Key ] 39: Area Problem / Integration [ Key ] 40: FTC/Integration [ Key ] 41: Area – 2 Curves [ Key ][ Mathematica ] 42: Volumes (I) [ Key ] 43: Volumes (II) [ Key ] [ Mathematica ] 44: Volumes (II) [ Key ] [ Mathematica ] 45: Volumes (III) [ Key ] 46: Known X Sections [ Key ][ Mathematica ] 47: Volumes (Misc) [ Key ] 48: Slope Fields, Diff. Eq [ Key ] 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 —– 27: The Area Problem(1) [ Key ] 28: The Area Problem(2) [ Key ] 29: The Definite Integral [ Key ] 30: U-Substitution [ Key ] 31: PVA Integrals [ Key ] 32: FTC, Misc (1) [ Key ] [ Mathematica ] 33: Area – 2 Curves (1) [ Key ] [ Mathematica ] 34: FTC (2) [ Key ] 35: Areas/FTC(1) [ Key ] 36: Areas/FTC(2) [ Key ] 37: Integration/FTC(3) [ Key ] 38: Volumes(1) [ Key ][ Mathematica ] 39: Volumes(2) [ Key ][ Mathematica ] 40: Int by Parts [ Key ] 41: Int by Trig Subs [ Key ] 42: Int Techniques (I) [ Key ] 43: Int Techniques (II) [ Key ][ Mathematica ] 44: Sequences (I) [ Key ] 45: Sequences (II) [ Key ] 46: Series (I) [ Key ] 47: Series (II) [ Key ] 48: Series (Misc.) [ Key ] 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 StudentsGolden 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 References00: 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 style="display:inline-block;width:300px;height:250px" data-ad-client="ca-pub-5206877545086254" data-ad-slot="9192968524"> 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 Derivatives14: 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 ]