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

  • Formāts: Paperback / softback, 816 pages, height x width: 276x213 mm
  • Sērija : College Test Prep
  • Izdošanas datums: 01-Aug-2017
  • Izdevniecība: Princeton Review Publishing Corporation
  • ISBN-10: 1524710024
  • ISBN-13: 9781524710026
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  • Mīkstie vāki
  • Cena: 23,49 €
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  • Formāts: Paperback / softback, 816 pages, height x width: 276x213 mm
  • Sērija : College Test Prep
  • Izdošanas datums: 01-Aug-2017
  • Izdevniecība: Princeton Review Publishing Corporation
  • ISBN-10: 1524710024
  • ISBN-13: 9781524710026
Citas grāmatas par šo tēmu:
EVERYTHING YOU NEED TO SCORE A PERFECT 5. Ace the AP Calculus BC 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 BC Exam arms you to take on the test with:

Techniques That Actually Work.
• Tried-and-true strategies to 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 for a High Score.
• Up-to-date information on the 2018 AP Calculus BC 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

Practice Your Way to Excellence.
• 3 full-length practice tests with detailed answer explanations
• Practice drills throughout each content review chapter
• Step-by-step walk-throughs of key calculus formulas and sample questions
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Part I Using This Book to Improve Your AP Score
1(6)
Preview: Your Knowledge, Your Expectations
2(1)
Your Guide to Using This Book
2(1)
How to Begin
3(4)
Part II Practice Test 1
7(72)
Practice Test 1
9(70)
Practice Test 1 Answers and Explanations
39(40)
Part III About the AP Calculus BC Exam
79(10)
AB Calculus vs. BC Calculus
80(1)
Structure of the Exam
80(1)
Overview of Content Topics
81(4)
General Overview of This Book
85(1)
How AP Exams Are Used
86(1)
Other Resources
86(1)
Designing Your Study Plan
87(2)
Part IV Test-Taking Strategies for the AP Calculus BC Exam
89(10)
1 How to Approach Multiple-Choice Questions
91(4)
2 How to Approach Free-Response Questions
95(4)
Part V Content Review for the AP Calculus BC Exam
99(2)
Unit 1 Differential Calculus Essentials
101(80)
3 Limits
103(14)
What is a Limit?
104(6)
Limits of Trigonometric Functions
110(4)
Practice Problem Set 1
114(3)
4 Continuity
117(12)
The Definition of Continuity
118(2)
Types of Discontinuities
120(7)
Practice Problem Set 1
127(2)
5 The Definition of the Derivative
129(12)
Deriving the Formula
130(5)
Differentiability
135(3)
Practice Problem Set 1
138(3)
6 Basic Differentiation
141(26)
Notation
142(1)
The Power Rule
143(2)
The Addition Rule
145(1)
Higher Order Derivatives
146(1)
Practice Problem Set 1
147(1)
The Product Rule
148(1)
The Quotient Rule
149(2)
The Chain Rule
151(4)
Practice Problem Set 2
155(1)
Derivatives of Trig Functions
156(5)
Graphical Derivatives
161(5)
Practice Problem Set 3
166(1)
7 Implicit Differentiation
167(14)
How to Do It
168(6)
Second Derivatives
174(3)
Practice Problem Set 1
177(4)
Unit 1 Drill
178(3)
Unit 2 Differential Calculus Applications
181(102)
8 Basic Applications of the Derivative
183(14)
Equations of Tangent Lines and Normal Lines
184(6)
Practice Problem Set 1
190(1)
The Mean Value Theorem for Derivatives
191(2)
Rolle's Theorem
193(3)
Practice Problem Set 2
196(1)
9 Maxima and Minima
197(32)
Applied Maxima and Minima Problems
198(12)
Practice Problem Set 1
210(1)
Curve Sketching
211(16)
Practice Problem Set 2
227(2)
10 Motion
229(14)
Related Rates
230(6)
Practice Problem Set 1
236(1)
Position, Velocity, and Acceleration
237(5)
Practice Problem Set 2
242(1)
11 Exponential and Logarithmic Functions, Part One
243(10)
The Derivative of In x
244(1)
The Derivative of ex
245(1)
The Derivative of logax
246(1)
The Derivative of ax
247(3)
Practice Problem Set 1
250(3)
12 Other Topics in Differential Calculus
253(30)
The Derivative of an Inverse Function
254(4)
Practice Problem Set 1
258(1)
Derivatives of Parametric Functions
258(6)
Practice Problem Set 2
264(1)
L'Hopital's Rule
265(4)
Practice Problem Set 3
269(1)
Differentials
270(3)
Practice Problem Set 4
273(1)
Logarithmic Differentiation
274(5)
Practice Problem Set 5
279(4)
Unit 2 Drill
281(2)
Unit 3 Integral Calculus Essentials
283(86)
13 The Integral
285(16)
The Antiderivative
286(2)
Integrals of Trig Functions
288(1)
Addition and Subtraction
289(4)
Practice Problem Set 1
293(1)
U-Substitution
294(6)
Practice Problem Set 2
300(1)
14 Definite Integrals
301(32)
Area Under a Curve
302(7)
Tabular Riemann Sums
309(11)
Practice Problem Set 1
320(1)
The Mean Value Theorem for Integrals
321(10)
Practice Problem Set 2
331(2)
15 Exponential and Logarithmic Functions, Part Two
333(10)
More Integrals of Trig Functions
335(2)
Integrating ex and ax
337(4)
Practice Problem Set 1
341(2)
16 Integration by Parts
343(8)
The Formula
344(5)
Practice Problem Set 1
349(2)
17 Trig Functions
351(18)
Inverse Trig Functions
352(6)
Practice Problem Set 1
358(1)
Advanced Integrals of Trig Functions
359(7)
Practice Problem Set 2
366(3)
Unit 3 Drill
367(2)
Unit 4 Integral Calculus Applications
369(304)
18 The Area Between Two Curves
371(12)
Vertical Slices
372(3)
Horizontal Slices
375(7)
Practice Problem Set 1
382(1)
19 The Volume of a Solid of Revolution
383(22)
Washers and Disks
384(7)
Cylindrical Shells
391(5)
Volumes of Solids with Known Cross-Sections
396(7)
Practice Problem Set 1
403(2)
20 Other Applications of the Integral
405(22)
Length of a Curve
406(2)
Parametric Functions
408(2)
Practice Problem Set 1
410(1)
The Method of Partial Fractions
411(5)
Practice Problem Set 2
416(1)
Improper Integrals
417(4)
Practice Problem Set 3
421(1)
Calculus of Polar Curves
422(4)
Practice Problem Set 4
426(1)
21 Differential Equations
427(18)
Separation of Variables
428(4)
Euler's Method
432(7)
Slope Fields
439(3)
Practice Problem Set 1
442(3)
Unit 4 Drill
444(1)
22 Infinite Series
445(22)
Sequences and Series
446(2)
Geometric Series
448(2)
The Ratio Test
450(1)
Comparison Test
451(1)
Limit Comparison Test
452(2)
Conditional Convergence
454(2)
Alternating Series
456(1)
Integral Test
457(1)
Error Bound
458(1)
Power Series
459(1)
Taylor Series and Polynomials
460(4)
Practice Problem Set 1
464(3)
23 Answers to Practice Problem Sets and Unit Drills
467(206)
Part VI Practice Tests
673(120)
24 Practice Test 2
675(30)
25 Practice Test 2 Answers and Explanations
705(34)
26 Practice Test 3
739(32)
27 Practice Test 3 Answers and Explanations
771(22)
Appendix 793