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Grades 11-12
Developed by: Brenda Batten
NEW from Brenda Batten, the author of Concepts of Calculus: Exploring AP Calculus with the TI-89 comes the additional BC workbook.
The activities include: (click for an example of each) Explanations; Historical Notes; Tech Tips; Worked Examples; Questions to Test Understanding; Suggested Journal Entries.
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Each activity contains a section for keeping a journal to give students the chance to summarize the main points in the activity and to note important definitions and theorems. This journal can serve as a review for the AP Exam.
The BC workbook is a collection of additional lessons covering the following topics: Approximation Methods for Solving Differential Equations; Techniques of Integration; Applications & Differential Equations; Parametric, Polar & Vector Equations; Limits Revisited; Infinite Series.
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Contents:
Chapters 15 Found in Concepts of Calculus: Book I (green book)
Letter from the Author
Chaper 6 Approximation Methods for Solving Differential Equations
Eulers Method
Text Scripts and Slope Fields
Chaper 7 Techniques of Integration
Integration by Substitution
Integration by Parts
Integration by Partial Fractions
Symbolic Math Guide Practice & Summary
Chaper 8 Applications & Differential Equations
Hubble's Law & Homo Sapiens 230
Forestry Applications 237
Chaper 9 Parametric, Polar & Vector Equations
Parametric Transformations & Derivatives
Parametric Derivatives & Tangent Lines
Vectors
Particle Motion
Arc Length
Interpreting Parametric Derivatives
Transition to Polar Coordinates
Polar Equations
Chaper 10 Limits Revisited
L'Hopital's Rule
Indeterminate Forms
Defining Improper Integrals
Convergence of Improper Integrals
A Few Good Functions
Chaper 11 Infinite Series
Geometric Series
Power Series
Taylor Series
Application: Faustmann's Rule
Convergence of Infinite Series
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