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Cracking the AP Calculus BC Exam, 2020 Edition [Mīkstie vāki]

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  • Formāts: Paperback / softback, 768 pages, height x width: 276x213 mm
  • Sērija : College Test Prep
  • Izdošanas datums: 06-Aug-2019
  • Izdevniecība: Random House USA Inc
  • ISBN-10: 0525568166
  • ISBN-13: 9780525568162
  • Mīkstie vāki
  • Cena: 30,43 €*
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  • Pievienot vēlmju sarakstam
  • Formāts: Paperback / softback, 768 pages, height x width: 276x213 mm
  • Sērija : College Test Prep
  • Izdošanas datums: 06-Aug-2019
  • Izdevniecība: Random House USA Inc
  • ISBN-10: 0525568166
  • ISBN-13: 9780525568162
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, targeted strategies for every question type, and access to online extras.

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 to Help Achieve a High Score.
• Comprehensive content review for all test topics
• Up-to-date information on the planned 2020 course changes via your online Student Tools
• Engaging activities to help you critically assess your progress
• Access to online drills, study plans, a handy list of formulas, helpful pre-college information, and more

Practice Your Way to Excellence.
• 3 full-length practice tests with detailed answer explanations
• Practice drills throughout each content review chapter
• Helpful reference guide of of key calculus formulas and comprehensive drills available online
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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(56)
Practice Test 1
9(28)
Practice Test 1 Answers and Explanations
37(26)
Part Ill: About the AP Calculus BC Exam 63(10)
AB Calculus vs. BC Calculus
64(1)
Structure of the Exam
64(1)
Overview of Content Topics
65(3)
General Overview of This Book
68(1)
How AP Exams Are Used
69(1)
Other Resources
70(1)
Designing Your Study Plan
70(3)
Part IV: Test-Taking Strategies for the AP Calculus BC Exam 73(10)
1 How to Approach Multiple-Choice Questions
75(4)
2 How to Approach Free-Response Questions
79(4)
Part V: Content Review for the AP Calculus BC Exam 83(558)
Unit 1: Differential Calculus Essentials
85(80)
3 Limits
87(14)
What is a Limit?
88(5)
Limits of Trigonometric Functions
93(4)
Practice Problem Set 1
97(3)
End of
Chapter 3 Drill
100(1)
4 Continuity
101(12)
The Definition of Continuity
102(2)
Types of Discontinuities
104(5)
Practice Problem Set 2
109(2)
End of
Chapter 4 Drill
111(2)
5 The Definition of the Derivative
113(12)
Deriving the Formula
114(5)
Differentiability
119(2)
Practice Problem Set 3
121(2)
End of
Chapter 5 Drill
123(2)
6 Basic Differentiation
125(28)
Notation
126(1)
The Power Rule
127(1)
The Addition Rule
128(1)
Higher Order Derivatives
129(1)
Practice Problem Set 4
130(2)
The Product Rule
132(1)
The Quotient Rule
133(1)
The Chain Rule
134(4)
Practice Problem Set 5
138(2)
Derivatives of Trig Functions
140(4)
Graphical Derivatives
144(4)
Practice Problem Set 6
148(2)
End of
Chapter 6 Drill
150(3)
7 Implicit Differentiation
153(12)
How to Do It
154(5)
Second Derivatives
159(3)
Practice Problem Set 7
162(1)
End of
Chapter 7 Drill
163(2)
Unit 2: Differential Calculus Applications
165(94)
8 Basic Applications of the Derivative
167(14)
Equations of Tangent Lines and Normal Lines
168(5)
Practice Problem Set 8
173(1)
The Mean Value Theorem for Derivatives
174(2)
Rolle's Theorem
176(2)
Practice Problem Set 9
178(1)
End of
Chapter 8 Drill
179(2)
9 Maxima, Minima, and Curve Stretching
181(28)
Applied Maxima and Minima Problems
182(10)
Practice Problem Set 10
192(1)
Curve Sketching
193(14)
Practice Problem Set 11
207(1)
End of
Chapter 9 Drill
208(1)
10 Motion
209(14)
Related Rates
210(5)
Practice Problem Set 12
215(1)
Position, Velocity, and Acceleration
215(5)
Practice Problem Set 13
220(1)
End of
Chapter 10 Drill
221(2)
11 Derivatives of Exponential and Logarithmic Functions
223(10)
The Derivative of In x
224(1)
The Derivative of ex
225(1)
The Derivative of logax
226(1)
The Derivative of ax
227(3)
Practice Problem Set 14
230(1)
End of
Chapter 11 Drill
231(2)
12 Other Topics in Differential Calculus
233(26)
The Derivative of an Inverse Function
234(3)
Practice Problem Set 15
237(1)
Derivatives of Parametric Functions
238(4)
Practice Problem Set 16
242(1)
L'Hopital's Rule
243(3)
Practice Problem Set 17
246(1)
Linearization
247(4)
Practice Problem Set 18
251(1)
Logarithmic Differentiation
251(5)
Practice Problem Set 19
256(1)
End of
Chapter 12 Drill
257(2)
Unit 3: Integral Calculus Essentials
259(84)
13 The Integral
261(16)
The Antiderivative
262(2)
Integrals of Trig Functions
264(1)
Addition and Subtraction
264(4)
Practice Problem Set 20
268(1)
u-Substitution
269(5)
Practice Problem Set 21
274(1)
End of
Chapter 13 Drill
275(2)
14 Definite Integrals
277(28)
Area Under a Curve
278(7)
Tabular Riemann Sums
285(8)
Practice Problem Set 22
293(1)
The Mean Value Theorem for Integrals
294(9)
Practice Problem Set 23
303(1)
End of
Chapter 14 Drill
304(1)
15 Integrals of Exponential, Logarithmic, and Trig Functions
305(12)
More Integrals of Trig Functions
307(2)
Integrating e and ax
309(4)
Practice Problem Set 24
313(1)
End of
Chapter 15 Drill
314(3)
16 Integration by Parts
317(8)
The Formula
318(4)
Practice Problem Set 25
322(1)
End of
Chapter 16 Drill
323(2)
17 Advanced Integrals of Trig Functions
325(18)
Inverse Trig Functions
326(6)
Practice Problem Set 26
332(1)
Advanced Integrals of Trig Functions
333(6)
Practice Problem Set 27
339(1)
End of
Chapter 17 Drill
340(3)
Unit 4: Integral Calculus Applications
343(298)
18 The Area Between Two Curves
345(12)
Vertical Slices
346(3)
Horizontal Slices
349(6)
Practice Problem Set 28
355(1)
End of
Chapter 18 Drill
356(1)
19 The Volume of a Solid of Revolution
357(22)
Washers and Disks
358(6)
Cylindrical Shells
364(4)
Volumes of Solids with Known Cross-Sections
368(7)
Practice Problem Set 29
375(2)
End of
Chapter 19 Drill
377(2)
20 Other Applications of the Integral
379(22)
Length of a Curve
380(2)
Parametric Functions
382(2)
Practice Problem Set 30
384(1)
The Method of Partial Fractions
384(6)
Practice Problem Set 31
390(1)
Improper Integrals
390(4)
Practice Problem Set 33
394(1)
Calculus of Polar Curves
395(4)
Practice Problem Set 33
399(1)
End of
Chapter 20 Drill
400(1)
21 Differential Equations
401(18)
Separation of Variables
402(4)
Euler's Method
406(6)
Slope Fields
412(4)
Practice Problem Set 34
416(1)
End of
Chapter 21 Drill
417(2)
22 Infinite Series
419(22)
Sequences and Series
420(2)
Geometric Series
422(2)
The Ratio Test
424(1)
Comparison Test
425(1)
Limit Comparison Test
426(2)
Conditional Convergence
428(1)
Alternating Series
429(1)
Integral Test
430(1)
Error Bound
431(1)
Power Series
432(1)
Taylor Series and Polynomials
433(4)
Practice Problem Set 35
437(2)
End of
Chapter 22 Drill
439(2)
23 Answers to Practice Problem Sets
441(164)
24 Answers to End of
Chapter Drills
605(36)
Part VI: Practice Tests 641
25 Practice Test 2
643(30)
26 Practice Test 2 Answers and Explanations
673(32)
27 Practice Test 3
705(32)
28 Practice Test 3 Answers and Explanations
737