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Princeton Review AP Calculus BC Prep, 2023: 5 Practice Tests plus Complete Content Review plus Strategies & Techniques [Mīkstie vāki]

  • Formāts: Paperback / softback, 768 pages, height x width: 276x213 mm
  • Sērija : College Test Preparation
  • Izdošanas datums: 02-Aug-2022
  • Izdevniecība: Random House Inc
  • ISBN-10: 0593450698
  • ISBN-13: 9780593450697
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Princeton Review AP Calculus BC Prep, 2023: 5 Practice Tests plus Complete Content Review plus Strategies & TechniquesPalielināt
  • Formāts: Paperback / softback, 768 pages, height x width: 276x213 mm
  • Sērija : College Test Preparation
  • Izdošanas datums: 02-Aug-2022
  • Izdevniecība: Random House Inc
  • ISBN-10: 0593450698
  • ISBN-13: 9780593450697
Citas grāmatas par šo tēmu:
Permanent link: https://www.kriso.lv/db/9780593450697.html
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This study guide includes 5 full-length practice tests, proven strategies for success, complete content review for all test topics, and access to online drills and pre-college information.

Make sure you’re studying with the most up-to-date prep materials! Look for the newest edition of this title, The Princeton Review AP Calculus BC Prep, 10th Edition (ISBN: 9780593516751, on-sale August 2023).

Publisher's Note: Products purchased from third-party sellers are not guaranteed by the publisher for quality or authenticity, and may not include access to online tests or materials included with the original product.
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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(60)
Practice Test 1
9(30)
Practice Test 1 Diagnostic Answer Key and Explanations
39(26)
How to Score Practice Test 1
65(2)
Part III About the AP Calculus BC Exam
67(10)
AB Calculus vs. BC Calculus
68(1)
Structure of the AP Calculus BC Exam
68(1)
How the AP Calculus BC Exam is Scored
69(1)
Past AP Calculus BC Score Distributions
69(1)
Overview of Content Topics
70(3)
General Overview of This Book
73(1)
How AP Exams Are Used
74(1)
Other Resources
75(1)
Designing Your Study Plan
75(2)
Part IV Test-Taking Strategies for the AP Calculus BC Exam
77(10)
1 How to Approach Multiple-Choice Questions
79(4)
2 How to Approach Free-Response Questions
83(4)
Part V Content Review for the AP Calculus BC Exam
87(548)
3 Limits and Continuity
89(32)
Introducing Calculus: Can Change Occur at an Instant?
90(1)
Defining Limits and Using Limit Notation
90(2)
Estimating Limit Values from Graphs
92(1)
Estimating Limit Values from Tables
93(1)
Determining Limits Using Algebraic Properties of Limits
94(1)
Determining Limits Using Algebraic Manipulation
95(2)
Selecting Procedures for Determining Limits
97(4)
Determining Limits Using the Squeeze Theorem
101(2)
Connecting Multiple Representations of Limits
103(2)
Exploring Types of Discontinuities
105(4)
Defining Continuity at a Point
109(2)
Confirming Continuity over an Interval
111(1)
Removing Discontinuities
112(1)
Connecting Infinite Limits and Vertical Asymptotes
113(2)
Connecting Limits at Infinity and Horizontal Asymptotes
115(1)
Working with the Intermediate Value Theorem (IVT)
116(3)
End of
Chapter 3 Drill
119(2)
4 Differentiation: Definition and Basic Derivative Rules
121(28)
Defining Average and Instantaneous Rates of Change at a Point
122(1)
Defining the Derivative of a Function and Using Derivative Notation
123(6)
Estimating Derivatives of a Function at a Point
129(3)
Connecting Differentiability and Continuity: Determining When Derivatives Do and Do Not Exist
132(1)
Applying the Power Rule
133(1)
Derivative Rules: Constant, Sum, Difference, and Constant Multiple
134(2)
Derivatives of cos x, sin x, ex, and In x
136(7)
The Product Rule
143(1)
The Quotient Rule
144(1)
Finding the Derivatives of Tangent, Cotangent, Secant, and/or Cosecant Functions
145(3)
End of
Chapter 4 Drill
148(1)
5 Differentiation: Composite, Implicit, and Inverse Functions
149(24)
The Chain Rule
150(4)
Implicit Differentiation
154(6)
Differentiating Inverse Functions
160(4)
Differentiating Inverse Trigonometric Functions
164(2)
Selecting Procedures for Calculating Derivatives
166(2)
Calculating Higher-Order Derivatives
168(3)
End of
Chapter 5 Drill
171(2)
6 Contextual Applications of Differentiation
173(30)
Interpreting the Meaning of the Derivative in Context
174(1)
Straight-Line Motion: Connecting Position, Velocity, and Acceleration
174(6)
Rates of Change in Applied Contexts Other Than Motion
180(1)
Introduction to Related Rates
180(1)
Solving Related Rates Problems
181(6)
Approximating Values of a Function Using Local Linearity and Linearization
187(10)
Using L'Hospital's Rule for Determining Limits of Indeterminate Forms
197(5)
End of
Chapter 6 Drill
202(1)
7 Analytical Applications of Differentiation
203(54)
Using the Mean Value Theorem
204(5)
Extreme Value Theorem, Global Versus Local Extrema, and Critical Points
209(1)
Determining Intervals on Which a Function Is Increasing or Decreasing
210(2)
Using the First Derivative Test to Determine Relative (Local) Extrema
212(2)
Using the Candidates Test to Determine Absolute (Global) Extrema
214(2)
Determining Concavity of Functions over Their Domains
216(3)
Using the Second Derivative Test to Determine Extrema
219(3)
Sketching Graphs of Function and Their Derivatives
222(15)
Connecting a Function, Its First Derivative, and Its Second Derivative
237(6)
Introduction to Optimization Problems
243(1)
Solving Optimization Problems
244(10)
Exploring Behaviors of Implicit Relations
254(1)
End of
Chapter 7 Drill
255(2)
8 Integration and Accumulation of Change
257(78)
Exploring Accumulations of Change
258(1)
Approximating Areas with Riemann Sums
259(13)
Riemann Sums, Summation Notation, and Definite Integral Notation
272(1)
The Fundamental Theorem of Calculus and Accumulation Functions
273(2)
Interpreting the Behavior of Accumulation Functions Involving Area
275(4)
Applying Properties of Definite Integrals
279(1)
The Fundamental Theorem of Calculus and Definite Integrals
280(1)
Finding Antiderivatives and Indefinite Integrals: Basic Rules and Notation
281(9)
Integrating Using Substitution
290(23)
Integrating Functions Using Long Division and Completing the Square
313(4)
Integration Using Integration by Parts
317(6)
Using Linear Partial Fractions
323(3)
Evaluating Improper Integrals
326(4)
Selecting Techniques for Antidifferentiation
330(2)
End of
Chapter 8 Drill
332(3)
9 Differential Equations
335(26)
Modeling Situations with Differential Equations
336(1)
Verifying Solutions for Differential Equations
336(1)
Sketching Slope Fields
337(4)
Reasoning Using Slope Fields
341(2)
Approximating Solutions Using Euler's Method
343(6)
Finding General Solutions Using Separation of Variables
349(1)
Finding Particular Solutions Using Initial Conditions and Separation of Variables
350(4)
Exponential Models with Differential Equations
354(2)
Logistic Models with Differential Equations
356(4)
End of
Chapter 9 Drill
360(1)
10 Applications of Integration
361(30)
Finding the Average Value of a Function on an Interval
362(2)
Connecting Position, Velocity, and Acceleration Functions Using Integrals
364(1)
Using Accumulation Functions and Definite Integrals in Applied Contexts
365(1)
Finding the Area Between Curves Expressed as Functions of x
366(2)
Finding the Area Between Curves Expressed as Functions of y
368(3)
Finding the Area Between Curves That Intersect at More Than Two Points
371(1)
Volumes with Cross-Sections: Squares and Rectangles
372(2)
Volumes with Cross-Sections: Triangles and Semicircles
374(1)
Volume with Disc Method: Revolving Around the x- or y-Axis
375(3)
Volume with Disc Method: Revolving Around Other Axes
378(1)
Volume with Washer Method: Revolving Around the x- or y-Axis
379(3)
Volume with Washer Method: Revolving Around Other Axes
382(3)
The Arc Length of a Smooth, Planar Curve and Distance Traveled
385(3)
End of
Chapter 10 Drill
388(3)
11 Parametric Equations, Polar Coordinates, and Vector-Valued Functions
391(18)
Defining and Differentiating Parametric Equations
392(2)
Second Derivatives of Parametric Equations
394(1)
Finding Arc Lengths of Curves Given by Parametric Equations
395(2)
Defining and Differentiating Vector-Valued Functions
397(1)
Integrating Vector-Valued Functions
398(2)
Solving Motion Problems Using Parametric and Vector-Valued Functions
400(2)
Defining Polar Coordinates and Differentiating in Polar Form
402(1)
Finding the Area of a Polar Region or the Area Bounded by a Single Polar Curve
403(2)
Finding the Area of the Region Bounded by Two Polar Curves
405(2)
End of
Chapter 11 Drill
407(2)
12 Infinite Sequences and Series
409(30)
Defining Convergent and Divergent Infinite Series
410(3)
Working with Geometric Series
413(2)
The nth Term Test for Divergence
415(1)
Integral Test for Convergence
416(1)
Harmonic Series and p-Series
417(2)
Comparison Tests for Convergence
419(3)
Alternating Series Test for Convergence
422(1)
Ratio Test for Convergence
423(1)
Determining Absolute or Conditional Convergence
424(1)
Alternating Series Error Bound
425(1)
Finding Taylor Polynomial Approximations of Functions
426(2)
Lagrange Error Bound
428(1)
Radius and Interval of Convergence of Power Series
429(1)
Finding Taylor or Maclaurin Series for a Function
430(2)
Representing Functions as Power Series
432(5)
End of
Chapter 12 Drill
437(2)
13 Answers to Practice Problem Sets
439(162)
14 Answers to End of
Chapter Drills
601(34)
Part VI Practice Tests 2 and 3
635(110)
15 Practice Test 2
637(30)
16 Practice Test 2: Answers and Explanations
667(26)
How to Score Practice Test 2
691(2)
17 Practice Test 3
693(32)
18 Practice Test 3: Answers and Explanations
725(20)
How to Score Practice Test 3
743(2)
About the Author 745