| 00. |
AB Calc Cover Pages
(AB First Pages.pdf)
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AB Introductory Pages
I used this the first week of class or even the last few
days in Precalc to give students a flavor of calculus.
This section introduces the concepts of derivatives as
instantaneous change and the definite integral as area.
(ABOpeningPagesStud.pdf)
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| 01. |
Tangent Lines
(AB01 Tangent Lines.pdf)
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| 02. |
Slopes of Secant and Tangent Lines
(AB02 msec mtan.pdf)
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| 03. |
Graphical Approach to Limits
(AB03 Limits graphical.pdf)
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| 04. |
Finding Limits Algebraically
(AB04 Limits algebraic.pdf)
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| 05. |
Definition of Derivative
(AB05 Derivatives def.pdf)
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| 06. |
Derivatives Using Technology
(AB06 Technology.pdf)
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| 07. |
Techniques of Differentiation
(AB07 Differentiation.pdf)
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| 08. |
Differentiation by the Chain Rule
(AB08 Chain Rule.pdf)
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| 09. |
Differentiation of Trig Functions
(AB09 Trig Differentiation.pdf)
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| 10. |
Implicit Differentiation
(AB10 Implicit.pdf)
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| 11. |
Continuity and Differentiation
(AB11 Continuity.pdf)
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| 12. |
Related Rates
(AB12 Related Rates.pdf)
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| 13. |
Straight Line Motion
(AB13 Motion.pdf)
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| 14. |
Rolle's and the Mean Value Theorem
(AB14 Rolles MVT.pdf)
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| 15. |
Function Analysis
(AB15 Function Anal.pdf)
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| 16. |
Finding Absolute Extrema
(AB16 Abs MaxMin.pdf)
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| 17. |
Newton's Method of Roots (*)
(AB17 Newton.pdf)
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| 18. |
Approximation Using Differentials (*)
(AB18 Differentials.pdf)
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| 19. |
Optimization Problems
(AB19 Optimization.pdf)
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| 20. |
Economic Optimization Problems
(AB20 Economic.pdf)
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| 21. |
Indefinite Integration
(AB21 Integration.pdf)
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| 22. |
u-Substitution
(AB22 u-substitution.pdf)
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| 23. |
Sigma Notation
(AB23 Sigma.pdf)
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| 24. |
Area Under Curve
(AB24 Area Under Curve.pdf)
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| 25. |
Riemann Sums
(AB25 Riemann Sums.pdf)
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| 26. |
Exact Area Under a Curve (*)
(AB26 Exact Area.pdf)
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| 27. |
Definite Integral as Area
(AB27 Definite Integral.pdf)
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| 28. |
Accumulation Function
(AB28 Accumulation.pdf)
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| 29. |
Fundamental Theorem of Calculus
(AB29 Fund Thm.pdf)
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| 30. |
Definite Integration with u-Substitution
(AB30 usub FTC.pdf)
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| 31. |
Straight Line Motion Revisited
(AB31 Motion revisited.pdf)
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| 32. |
Average Value/2nd Fundamental Theorem
(AB32 avg 2nd FTC.pdf)
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| 33. |
Area of Region Between 2 Curves
(AB33 Areas.pdf)
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| 34. |
Volume by Disks and Washers
(AB34 Disks Washers.pdf)
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| 35. |
Volume by Cylindrical Shells (*)
(AB35 Shells.pdf)
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| 36. |
Review of Exponentials and Logarithms
(AB36 Exp ln Review.pdf)
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| 37. |
Differentiation of the ln function
(AB37 ln differentiation.pdf)
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| 38. |
Integration and the ln function
(AB38 ln integration.pdf)
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| 39. |
Derivatives and Integrals with 'e'
(AB39 Calculus of e.pdf)
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| 40. |
Inverse Trig Functions
(AB40 Inverse Trig.pdf)
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| 41. |
Integration and Inverse Trig Functions
(AB41 Inverse Trig Int.pdf)
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| 42. |
Derivatives of Inverse Functions
(AB42 Inverse Derivatives.pdf)
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| 43. |
Differential Equations by Separation of Variables
(AB43 DEQ.pdf)
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| 44. |
Slope Fields
(AB44 Slope Fields.pdf)
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| 45. |
Exponential Growth
(AB45 Exp Growth.pdf)
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| 46. |
Exponential Growth Continuation
(AB46 Exp Growth II.pdf)
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| 47. |
Taking Impossible integrals
(AB47 Impossible Integrals.pdf)
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| 48. |
L'Hopital‘s Rule for Indeterminate Forms (*)
(AB48 lHopital.pdf)
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| 49. |
Review: New and Revised: This has 74 questions and blank room for answers in the form of: When you see the words ... This is what you think of doing. It tests students on knowing what to do when they face typical AP questions. The questions are organized by topic. Answers are included in this comprehensive review.
Note: This file is 4.7 megs in length so it will take a bit of time to download.
(AB49 Review1.pdf)
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| 50. |
Review: This is the same review as above except that the questions are randomly ordered. Note: This file is 4.7 megs in length so it will take a bit of time to download. |
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| 01-11 |
Consolidated Download p 10-62
Includes the same information as chapters 01-11 above.
(AB Manual p 10-62.pdf)
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| 12-25 |
Consolidated Download p 63-139
Includes the same information as chapters 12-25 above.
(AB Manual p 63-139.pdf)
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| 26-48 |
Consolidated Download p 140-226
Includes the same information as chapters 26-48 above.
(AB Manual p 140-226.pdf)
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