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Cracking the AP Calculus AB Exam, 2018 Edition [Mīkstie vāki]

  • Formāts: Paperback / softback, 688 pages, height x width: 276x213 mm
  • Sērija : College Test Prep
  • Izdošanas datums: 01-Aug-2017
  • Izdevniecība: Princeton Review Publishing Corporation
  • ISBN-10: 1524710016
  • ISBN-13: 9781524710019
Citas grāmatas par šo tēmu:
  • Mīkstie vāki
  • Cena: 23,49 €
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  • Formāts: Paperback / softback, 688 pages, height x width: 276x213 mm
  • Sērija : College Test Prep
  • Izdošanas datums: 01-Aug-2017
  • Izdevniecība: Princeton Review Publishing Corporation
  • ISBN-10: 1524710016
  • ISBN-13: 9781524710019
Citas grāmatas par šo tēmu:
EVERYTHING YOU NEED TO SCORE A PERFECT 5. Ace the AP Calculus AB Exam with this comprehensive study guideincluding 3 full-length practice tests, thorough content reviews, access to our AP Connect online portal, and targeted strategies for every question type.

Written by the experts at The Princeton Review, Cracking the AP Calculus AB Exam arms you to take on the test with:

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

Everything You Need to Know to Help Achieve a High Score.
• Comprehensive content review for all test topics
• Up-to-date information on the 2018 AP Calculus AB Exam
• Subjects organized into manageable units
• Access to AP Connect, our online portal for helpful pre-college information and exam updates

Practice that Takes You to Excellence.
• 3 full-length practice tests in the book with detailed answer explanations
• Comprehensive drills at the end of each chapter and unit
• Handy guide to key calculus formulas, plus bonus tips online for optimizing your TI-84 calculator
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Part I Using This Book to Improve Your AP Score
1(16)
Preview: Your Knowledge, Your Expectations
2(1)
Your Guide to Using This Book
2(1)
How to Begin
3(14)
Part II Practice Test
17(58)
Practice Test 1
9(66)
Practice Test 1 Answers and Explanations
41(34)
Part III About the AP Calculus AB Exam
75(8)
AB Calculus vs. BC Calculus
76(1)
The Structure of the Calculus Exam
76(1)
How the AP Calculus AB Exam is Scored
77(1)
Overview of Content Topics
77(3)
General Overview of This Book
80(1)
How AP Exams Are Used
81(1)
Other Resources
82(1)
Designing Your Study Plan
82(1)
Part IV Test-Taking Strategies for the AP Calculus AB Exam
83(10)
1 How to Approach Multiple-Choice Questions
85(4)
2 How to Approach Free-Response Questions
89(4)
Part V Content Review for the AP Calculus AB Exam
93(2)
Unit 1 Differential Calculus Essentials
95(80)
3 Limits
97(14)
What is a Limit?
98(6)
Limits of Trigonometric Functions
104(4)
Practice Problem Set 1
108(3)
4 Continuity
111(12)
The Definition of Continuity
112(2)
Types of Discontinuities
114(7)
Practice Problem Set 2
121(2)
5 The Definition of the Derivative
123(10)
Deriving the Formula
124(5)
Differentiability
129(3)
Practice Problem Set 3
132(1)
6 Differentiability
133(28)
Notation
134(1)
The Power Rule
135(2)
The Addition Rule
137(1)
Higher Order Derivatives
138(1)
Practice Problem Set 4
139(1)
The Product Rule
140(1)
The Quotient Rule
141(2)
The Chain Rule
143(4)
Practice Problem Set 5
147(2)
Derivatives of Trig Functions
149(4)
Graphical Derivatives
153(5)
Practice Problem Set 6
158(3)
7 Implicit Differentiation
161(14)
How to Do It
162(6)
Second Derivatives
168(3)
Practice Problem Set 7
171(4)
Unit 1 Drill
172(3)
Unit 2 Differential Calculus Applications
175(90)
8 Basic Applications of the Derivative
177(14)
Equations of Tangent Lines and Normal Lines
178(6)
Practice Problem Set 8
184(1)
The Mean Value Theorem for Derivatives
185(2)
Rolle's Theorem
187(3)
Practice Problem Set 9
190(1)
9 Maxima and Minima
191(32)
Applied Maxima and Minima Problems
192(11)
Practice Problem Set 10
203(2)
Curve Sketching
205(16)
Practice Problem Set 11
221(2)
10 Motion
223(14)
Related Rates
224(6)
Practice Problem Set 12
230(1)
Position, Velocity, and Acceleration
231(5)
Practice Problem Set 13
236(1)
11 Exponential and Logarithmic Functions, Part One
237(10)
The Derivative of In x
238(1)
The Derivative of ex
239(1)
The Derivative of logax
240(1)
The Derivative of ax
241(3)
Practice Problem Set 14
244(3)
12 Other Topics in Differential Calculus
247(18)
The Derivative of an Inverse Function
248(4)
Practice Problem Set 15
252(1)
Differentials
252(4)
Practice Problem Set 16
256(1)
L'Hopital's Rule
257(4)
Practice Problem Set 17
261(4)
Unit 2 Drill
262(3)
Unit 3 Integral Calculus Essentials
265(70)
13 The Integral
267(16)
The Antiderivative
268(2)
Integrals of Trig Functions
270(1)
Addition and Subtraction
271(3)
Practice Problem Set 18
274(1)
U-Substitution
275(6)
Practice Problem Set 19
281(2)
14 Definite Integrals
283(32)
Area Under a Curve
284(7)
Tabular Riemann Sums
291(11)
Practice Problem Set 20
302(1)
The Mean Value Theorem for Integrals
303(10)
Practice Problem Set 21
313(2)
15 Exponential and Logarithmic Functions, Part Two
315(20)
Inverse Trig Functions
316(7)
Practice Problem Set 22
323(2)
More Integrals of Trig Functions
325(2)
Integrating ex and ax
327(4)
Practice Problem Set 23
331(4)
Unit 3 Drill
333(2)
Unit 4 Integral Calculus Applications
335(210)
16 The Area Between Two Curves
337(12)
Vertical Slices
338(3)
Horizontal Slices
341(7)
Practice Problem Set 24
348(1)
17 The Volume of a Solid of Revolution
349(22)
Washers and Disks
350(7)
Cylindrical Shells
357(5)
Volumes of Solids with Known Cross-Sections
362(7)
Practice Problem Set 25
369(2)
18 Differential Equations
371(12)
Separation of Variables
372(5)
Slope Fields
377(4)
Practice Problem Set 26
381(2)
Unit 4 Drill
382(1)
19 Solutions to Practice Problem Sets and Unit Drills
383(162)
Part VI Practice Tests 2 and 3
545(118)
Practice Test 2
547(56)
Practice Test 2 Answers and Explanations
573(30)
Practice Test 3
603(60)
Practice Test 3 Answers and Explanations
633(30)
Appendix 663(12)
About the Author 675