AP® Calculus AB/BC All Access Book + Online + Mobile.
Title:
AP® Calculus AB/BC All Access Book + Online + Mobile.
Author:
Schwartz, Stu.
ISBN:
9780738684086
Personal Author:
Physical Description:
1 online resource (698 pages)
Series:
Advanced Placement (AP) All Access
Contents:
Cover -- Title Page -- Copyright Page -- Contents -- About Our Author -- About Research & Education Association -- Acknowledgments -- Chapter 1: Welcome to REA's All Access for AP Calculus AB/BC -- Chapter 2: Strategies for the Exams -- Content of the AP Calculus AB & BC Exams -- Format of the Exams -- What's the Score? -- The Focus of Our Review Chapters -- General Strategies for the AP Calculus Exams -- Section I: Strategies for the Multiple-Choice Section -- Section II: Strategies for the Free-Response Section -- Calculators -- Using the Calculator -- Chapter 3: A Precalculus Review -- 1. Functions -- 2. Domain and Range -- 3. The Function Toolbox -- 4. Even and Odd Functions -- 5. Transformation of Graphs -- 6. Special Factorization -- 7. Linear Equations -- 8. Solving Quadratic Equations -- 9. Asymptotes -- 10. Inverses -- 11. Negative and Fractional Exponents -- 12. Eliminating Complex Fractions -- 13. Solving Fractional Equations -- 14. Solving Absolute Value Equations -- 15. Solving Inequalities -- 16. Exponential Functions and Logs -- 17. Right Angle Trigonometry -- 18. Special Angles -- 19. Trigonometric Identities -- 20. Solving Trigonometric Equations or Inequalities -- Quiz 1. available online at www.rea.com/studycenter -- AP Calculus AB -- Chapter 4: Basic Calculus Concepts and Limits -- Introduction -- Graphical Approach to Limits -- Algebraic Approach to Limits -- Continuity -- Quiz 2. available online at www.rea.com/studycenter -- Chapter 5: Derivatives -- Average and Instantaneous Rate of Change -- The Derivative -- Derivatives of Algebraic Functions -- The Chain Rule -- Tangent Line Approximations -- Derivatives of Trigonometric Functions -- Derivatives of Exponential, Logarithmic, and Inverse Trig Functions -- Implicit Diferentiation -- Derivatives of Inverse Functions -- Horizontal and Vertical Tangent Lines.
Diferentiability -- Quiz 3. available online at www.rea.com/studycenter -- Chapter 6: Applications of Differentiation -- Procedure for Solving Related Rates Problems -- Straight-Line Motion -- The Intermediate Value Theorem -- The Mean-Value Theorem and Rolle's Theorem -- Increasing/Decreasing -- Concavity -- Relative (or Local) Extrema -- Absolute Extrema -- Optimization -- Procedure for Solving an Optimization Problem -- Quiz 4. available online at www.rea.com/studycenter -- Mini-Test 1. available online at www.rea.com/studycenter -- Chapter 7: Integration -- Area and the Definite Integral -- The Accumulation Function -- Riemann Sums and the Trapezoidal Rule -- The Fundamental Theorem of Calculus -- The Second Fundamental Theorem of Calculus -- Quiz 5. available online at www.rea.com/studycenter -- Chapter 8: Applications of Integration -- Area Between Curves -- Average Value of a Function -- Accumulated Change Problems -- Straight-Line Motion Revisited -- Volume -- Solving Diferential Equations -- Growth and Decay -- Quiz 6. available online at www.rea.com/studycenter -- Mini-Test 2. available online at www.rea.com/studycenter -- AP Calculus BC -- Chapter 9: Additional Limit and Integration Problems -- L'Hospital's Rule -- Integration by Parts -- Integration Using Partial Fractions -- Improper Integrals -- Quiz 7. available online at www.rea.com/studycenter -- Chapter 10: Additional BC Calculus Applications -- Euler's Method -- Logistic Growth -- Arc Length -- Parametric Functions -- Vector-Valued Functions -- Polar Equations -- Quiz 8. available online at www.rea.com/studycenter -- Chapter 11: Sequences and Series -- Basic Series and Convergence Tests -- Power Series and Interval of Convergence -- Taylor Polynomial Approximations -- Error Bounds -- Taylor and Maclaurin Series -- Functions Defined as Power Series.
Quiz 9. available online at www.rea.com/studycenter -- Mini-Test 3. available online at www.rea.com/studycenter -- AP Calculus AB Practice Exam (also available online at www.rea.com/studycenter ) -- Answer Key -- Detailed Explanations of Answers -- AP Calculus BC Practice Exam (also available online at www.rea.com/studycenter ) -- Answer Key -- Detailed Explanations of Answers -- Index.
Abstract:
All Access for the AP® Calculus AB & BC Exams Book + Web + Mobile Everything you need to prepare for the Advanced Placement® exam, in a study system built around you! There are many different ways to prepare for an Advanced Placement® exam. What's best for you depends on how much time you have to study and how comfortable you are with the subject matter. To score your highest, you need a system that can be customized to fit you: your schedule, your learning style, and your current level of knowledge. This book, and the free online tools that come with it, will help you personalize your AP® Calculus AB & BC prep by testing your understanding, pinpointing your weaknesses, and delivering flashcard study materials unique to you. The REA AP® All Access system allows you to create a personalized study plan through three simple steps: targeted review of exam content, assessment of your knowledge, and focused study in the topics where you need the most help. Here's how it works: Review the Book: Study the topics tested on the AP® Calculus AB & BC exams and learn proven AP® strategies that will help you tackle any question you may see on test day. Test Yourself and Get Feedback: As you review the book, test yourself with 9 end-of-chapter quizzes, plus 2 mini-tests (1 for each exam). Score reports from your free online tests and quizzes give you a fast way to pinpoint what you really know and what you should spend more time studying. Improve Your Score: Armed with your score reports, you can personalize your study plan. Review the parts of the book where you are weakest, and use the REA Study Center to create your own unique AP® Calculus AB & BC e-flashcards, adding to the 100 free cards included with this book. Visit The REA Study Center for a suite of online tools: The best way to personalize your study plan is to get frequent feedback on what you know
and what you don't. At the online REA Study Center, you can access three types of assessment: topic-level quizzes, mini-tests, and 2 full-length practice tests (1 for AP® Calculus AB and 1 for AP® Calculus BC). Each of these tools provides true-to-format questions and delivers a detailed score report that follows the topics set by the College Board®. Topic-Level Quizzes Short, 15-minute online quizzes are available throughout the review and are designed to test your immediate grasp of the topics just covered. Mini-Tests Two online mini-tests cover what you've studied for AP® Calculus AB & BC. These tests are like the actual AP® exams, only shorter, and will help you evaluate your overall understanding of the subject. 2 Full-Length Practice Tests After you've finished reviewing the book, take 2 full-length practice tests (1 for AP® Calculus AB and 1 for AP® Calculus BC) to practice under test-day conditions. Available both in the book and online, these tests give you the most complete picture of your strengths and weaknesses. We strongly recommend that you take the online versions of the exams for the added benefits of timed testing, automatic scoring, and a detailed score report. Improving Your Score: e-Flashcards With your score reports from the quizzes and tests, you'll be able to see exactly which AP® Calculus AB & BC topics you need to review. Use this information to create your own flashcards for the areas where you are weak. And, because you will create these flashcards through the REA Study Center, you'll be able to access them from any computer or smartphone. Not quite sure what to put on your flashcards? Start with the 100 free cards included when you buy this book.
Local Note:
Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2019. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.
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