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5 Steps to a 5 AP Calculus BC 2018 4th Edition by William Ma ISBN 1259863956 978-1259863950

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Product details:

ISBN 10: 1259863956 

ISBN 13: 978-1259863950

Author: William Ma

Get ready to ace your AP Calculus BC Exam with this easy-to-follow study guide

5 Steps to a 5: AP Calculus BC introduces an easy to follow, effective 5-step study plan to help you build the skills, knowledge, and test-taking confidence you need to achieve a high score on the exam. This wildly popular test prep guide matches the latest course syllabus and the latest exam. You’ll get three full-length practice tests, detailed answers to each question, study tips, information on how the exam is scores, and much more.

5 Steps to a 5: AP Calculus BC 2018 features:

• 3 Practice Exams
• An interactive, customizable AP Planner app to help you organize your time
• Powerful analytics you can use to assess your test readiness

Table of contents:

Step 1: Set Up Your Study Plan

  • What You Need to Know About the AP Calculus BC Exam

    • What Is Covered on the AP Calculus BC Exam?

    • What Is the Format of the AP Calculus BC Exam?

    • What Are the Advanced Placement Exam Grades?

    • How Is the AP Calculus BC Exam Grade Calculated?

    • Which Graphing Calculators Are Allowed for the Exam?

    • Calculators and Other Devices Not Allowed for the AP Calculus BC Exam

    • Other Restrictions on Calculators

  • How to Plan Your Time

    • Three Approaches to Preparing for the AP Calculus BC Exam

    • Calendar for Each Plan

Step 2: Determine Your Test Readiness

  • Take a Diagnostic Exam

    • Getting Started

    • Diagnostic Test

    • Answers to Diagnostic Test

    • Solutions to Diagnostic Test

    • Calculate Your Score

Step 3: Develop Strategies for Success

  • How to Approach Each Question Type

    • Multiple-Choice Questions

    • Free-Response Questions

    • Using a Graphing Calculator

    • Taking the Exam

Step 4: Review the Knowledge You Need to Score High

Big Idea 1: Limits

  • Limits and Continuity

    • The Limit of a Function

    • Limits Involving Infinities

    • Continuity of a Function

    • Rapid Review

    • Practice Problems

    • Cumulative Review Problems

    • Solutions

Big Idea 2: Derivatives

  • Differentiation

    • Derivatives of Algebraic Functions

    • Derivatives of Trigonometric, Inverse Trigonometric, Exponential, and Logarithmic Functions

    • Implicit Differentiation

    • Approximating a Derivative

    • Derivatives of Inverse Functions

    • Higher Order Derivatives

    • Rapid Review, Practice Problems, Cumulative Review, Solutions

  • Graphs of Functions and Derivatives

    • Rolle’s Theorem, Mean Value Theorem, Extreme Value Theorem

    • Determining the Behavior of Functions

    • Sketching Graphs of Functions

    • Graphs of Derivatives

    • Parametric, Polar, and Vector Representations

    • Rapid Review, Practice Problems, Cumulative Review, Solutions

  • Applications of Derivatives

    • Related Rate Problems

    • Applied Maximum and Minimum Problems

    • Rapid Review, Practice Problems, Cumulative Review, Solutions

  • More Applications of Derivatives

    • Tangent and Normal Lines

    • Linear Approximations

    • Motion Along a Line

    • Parametric, Polar, and Vector Derivatives

    • Rapid Review, Practice Problems, Cumulative Review, Solutions

Big Idea 3: Integrals and the Fundamental Theorem of Calculus

  • Integration

    • Evaluating Basic Integrals

    • Integration by U-Substitution

    • Techniques of Integration

    • Rapid Review, Practice Problems, Cumulative Review, Solutions

  • Definite Integrals

    • Riemann Sums and Definite Integrals

    • Fundamental Theorems of Calculus

    • Evaluating Definite Integrals

    • Improper Integrals

    • Rapid Review, Practice Problems, Cumulative Review, Solutions

  • Areas, Volumes, and Arc Lengths

    • Approximating the Area Under a Curve

    • Area and Definite Integrals

    • Volumes and Definite Integrals

    • Integration of Parametric, Polar, and Vector Curves

    • Rapid Review, Practice Problems, Cumulative Review, Solutions

  • More Applications of Definite Integrals

    • Average Value of a Function

    • Distance Traveled Problems

    • Definite Integral as Accumulated Change

    • Differential Equations

    • Slope Fields and Logistic Differential Equations

    • Euler’s Method

    • Rapid Review, Practice Problems, Cumulative Review, Solutions

Big Idea 4: Series

  • Series

    • Sequences and Series

    • Types of Series

    • Convergence Tests

    • Alternating Series

    • Power Series

    • Taylor Series

    • Operations on Series

    • Rapid Review, Practice Problems, Cumulative Review, Solutions

Step 5: Build Your Test-Taking Confidence

  • AP Calculus BC Practice Exam 1

  • AP Calculus BC Practice Exam 2

  • Formulas and Theorems

  • Bibliography

  • Websites

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Tags: William Ma, 5 Steps to a 5, AP Calculus BC, 2018