cracking the ap calculus ab exam david s kahn [pdf]
Cracking the AP Calculus AB Exam (2016 Edition) by David S. Kahn
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About this book :-
Cracking the AP Calculus AB Exam (2017 Edition) written by
David S. Kahn
EVERYTHING YOU NEED TO SCORE A PERFECT 5 ON THE NEW 2017 EXAM! Equip yourself to ace the NEW AP Calculus AB Exam with The Princeton Review's comprehensive study guide—including thorough content reviews, targeted strategies for every question type, access to our AP Connect portal online, and 3 full-length practice tests with complete answer explanations.
The AP Calculus AB course and exam have changed! Created to align with the new exam content, and written by the experts at The Princeton Review, Cracking the AP Calculus AB Exam arms you to take on the test with:
** Everything You Need to Know to Help Achieve a High Score. **
• Up-to-date information on the new 2016 AP Calculus AB Exam
• Comprehensive content review for all test topics
• Engaging activities to help you critically assess your progress
• Access to AP Connect, our online portal for late-breaking news, exam updates, and more
** Techniques That Actually Work. **
• Tried-and-true strategies to help you avoid traps and beat the test
• Tips for pacing yourself and guessing logically
• Essential tactics to help you work smarter, not harder
** Practice that Takes You to Excellence. **
• 3 full-length practice tests in the book with detailed answer explanations
• End-of-chapter and comprehensive unit drills
• Handy reference guide of key calculus formulas
Book Detail :-
Title: Cracking the AP Calculus AB Exam
Author(s): David S. Kahn
Publisher: Princeton Review
Series: College Test Preparation
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About Author :-
Author David S. Kahn studied applied mathematics and physics at the University of Wisconsin and has taught courses in calculus, precalculus, algebra, trigonometry, and geometry at the college and high school levels. He has worked as an educational consultant for many years and tutored more students in mathematics than he can count! He has worked for The Princeton Review since 1989, and, in addition to AP calculus, he has taught math and verbal courses for the SAT, SAT Subject Tests, LSAT, GMAT, and the GRE, trained other teachers, and written several other math books.
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• Download PDF Cracking the AP Calculus AB Exam (2017 Edition) by David S. Kahn
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Book Contents :-
Cracking the AP Calculus AB Exam (2016 Edition) written by
David S. Kahn
cover the following topics.
Part I: Using This Book to Improve Your AP Score
Preview: Your Knowledge, Your Expectations, Your Guide to Using This Book, How to Begin
Part II: Practice Test 1
Practice Test 1, Practice Test 1: Answers and Explanations
Part III: About the AP Calculus AB Exam
AB Calculus vs. BC Calculus, The Structure of the Calculus Exam, Overview of Content Topics, General Overview of This Book, How AP Exams Are Used, Other Resources, Designing Your Study Plan
Part IV: Test-Taking Strategies for the AP Calculus AB Exam
1. How to Approach Multiple-Choice Questions,
2. How to Approach Free-Response Questions
Part V: Content Review for the AP Calculus AB Exam
Unit 1: Differential Calculus Essentials
3. Limits, What is a Limit?, Limits of Trigonometric Functions, Practice Problem Set 1
4. Continuity, The Definition of Continuity, Types of Discontinuities, Practice Problem Set 2
5. The Definition of the Derivative, Deriving the Formula, Differentiability, Practice Problem Set 3
6. Basic Differentiation, Notation, The Power Rule, The Addition Rule, Higher Order Derivatives, Practice Problem Set 4, The Product Rule, The Quotient Rule, The Chain Rule, Practice Problem Set 5, Derivatives of Trig Functions, Graphical Derivatives, Practice Problem Set 6
7. Implicit Differentiation, How to Do It, Second Derivatives, Practice Problem Set 7
Unit 2: Differential Calculus Applications
8. Basic Applications of the Derivative, Equations of Tangent Lines and Normal Lines, Practice Problem Set 8, The Mean Value Theorem for Derivatives, Rolle’s Theorem, Practice Problem Set 9
9. Maxima and Minima, Applied Maxima and Minima Problems, Practice Problem Set 10, Curve Sketching, Practice Problem Set 11
10. Motion, Related Rates, Practice Problem Set 12, Position, Velocity, and Acceleration, Practice Problem Set 13
11. Exponential and Logarithmic Functions, Part One, The Derivative of ln x, The Derivative of ex, The Derivative of logax, The Derivative of ax, Practice Problem Set 14
12. Other Topics in Differential Calculus, The Derivative of an Inverse Function, Practice Problem Set 15, Differentials, Practice Problem Set 16, L’Hôopital’s Rule, Practice Problem Set 17
Unit 3: Integral Calculus Essentials
13. The Integral, The Antiderivative, Integrals of Trig Functions, Addition and Subtraction, Practice Problem Set 18, u-Substitution, Practice Problem Set 19
14. Definite Integrals, Area Under a Curve, Tabular Riemann Sums,Practice Problem Set 20, The Mean Value Theorem for Integrals, Practice Problem Set 21
15. Exponential and Logarithmic Functions, Part Two, More Integrals of Trig Functions, Integrating ex and ax, Practice Problem Set 22
Unit 4: Integral Calculus Applications
16. The Area Between Two Curves, Vertical Slices, Horizontal Slices, Practice Problem Set 23
17. The Volume of a Solid of Revolution, Washers and Disks, Cylindrical Shells, Volumes of Solids with Known Cross-Sections, Practice Problem Set 24
18. Differential Equations, Separation of Variables, Slope Fields, Practice Problem Set 25
19. Solutions to Practice Problem Sets and Unit Drills
Part VI: Additional Practice Tests
Practice Test 2
Practice Test 2: Answers and Explanations
Practice Test 3
Practice Test 3: Answers and Explanations
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