Preparing for the Calculus AP Exam with Calculus
Graphical, Numerical Algebraic
2nd Edition
Published on 11. February 2006
Book
Paperback/Softback
336 pages
978-0-321-33574-6 (ISBN)
Description
This preparation manual, directly linked to Calculus: Graphical, Numerical, Algebraic by Finney, Demana, Waits, and Kennedy, will help to reinforce the important connections between what you will learn in class and what you will be tested on in the AP* Calculus Exam. Or, if you simply need a refresher for the exam, this guide has everything that you need to help pave your way to success.
More details
Edition
2nd Revised edition
Language
English
Place of publication
New Jersey
United States
Publishing group
Pearson Education (US)
Target group
Primary & secondary/elementary & high school
Edition type
Revised edition
Dimensions
Height: 276 mm
Width: 216 mm
Weight
789 gr
ISBN-13
978-0-321-33574-6 (9780321335746)
Copyright in bibliographic data is held by Nielsen Book Services Limited or its licensors: all rights reserved.
Schweitzer Classification
Other editions
Previous edition
Ray Barton | John Brunsting | John Diehl
Preparing for the Calculus AP Exam with Calculus
Graphical Numerical Algebraic
Book
04/2005
Addison Wesley
€17.32
Article exhausted; check for reprint
Person
Ray Barton teaches AP* Calculus BC at Olympus High School in Salt Lake City, Utah. He has been an Advanced Placement Calculus exam reader and is an active instructor for Teachers Teaching with Technology. He has coauthoredAdvanced Placement Calculus with the TI-89 andDifferential Equations with the TI-86. Ray received the Presidential Award for Excellence in Mathematics and Science Teaching in 1995. He is a strong proponent of using technology to teach mathematics. John R. Brunsting taught AP* Calculus at Hinsdale Central High School in Hinsdale, Illinois. He has been an Advanced Placement Calculus exam reader and table leader, as well as an AP* Calculus Test Development Committee member. He was a consultant for the Midwest Region of the College Board. Now retired, John is a director of Illinois Advanced Placement Institutes and Mathematics & Technology Institutes, providing summer training for AP* teachers. John J. Diehl has taught AP* Calculus and AP* Statistics at Hinsdale Central High School in Hinsdale, Illinois. He has been an Advanced Placement Statistics exam reader and table leader, as well as an AP* Statistics Test Development Committee member. John is a consultant for the Midwest Region of the College Board and a Teachers Teaching with Technology Institute instructor. John is coauthor of Advanced Placement Calculus with the TI-89. Greg Hill teaches AP* Calculus BC at Hinsdale Central High School in Hinsdale, Illinois. A nearly twenty-year veteran, he has been an Advanced Placement Calculus exam reader for the last five years. As a consultant for the College Board, Greg has presented numerous AP* Calculus workshops across the Midwest. An active Teachers Teaching with Technology instructor, Greg guides teachers in the appropriate uses of technology in algebra, precalculus, and calculus. Karyl Tyler teaches AP* Calculus AB at Hinsdale Central High School in Hinsdale, Illinois. Her twenty-eight years of teaching experience include eleven years of teaching calculus. Beyond her classroom, Karyl assists with instruction at Teachers Teaching with Technology Institutes, sharing her passion for using technology in the mathematics classroom. Steven L. Wilson teaches AP* Calculus AB at Hinsdale Central High School in Hinsdale, Illinois. His twelve years of teaching experience include eight years of teaching calculus. A versatile mathematician, Steve shares his deep understandings with students training for rigorous mathematics oral competitions.
Content
Part I Introduction to the AP* AB and BC Calculus Exams Part II Precalculus Review of Calculus Prerequisites Calculus Prerequisites Precalculus -- A Preparation for Calculus Functions Transformations Polynomial Functions Rational Functions Exponential Functions Sinusoidal Functions More Trigonometric Functions Inverse Trigonometric Functions Parametric Relations Numerical Derivatives and Integrals Part III Calculus Review of AB and BC Topics Functions, Graphs, and Limits Analysis of Graphs Limits of Functions Asymptotic and Unbounded Behavior Function Magnitudes and Their Rates of Change Continuity Intermediate and Extreme Value Theorems Parametric, Polar, and Vector Functions Derivatives Concept of the Derivative Differentiability and Continuity Slope of a Curve at a Point Local Linearity Instantaneous Rate of Change Relationships Between the Graphs of f and f' The Mean Value Theorem Equations Involving Derivatives Correspondences Between the Graphs of f, f' and f" Points of Inflection Concavity of Functions Extreme Value of Functions Analysis of Parametric, Polar, and Vector Curves Optimization Related Rates Implicit Differentiation Derivative as a Rate of Change Slopefields Euler's Method L'Hopital's Rule Derivatives of Basic Functions Derivative Rules Chain Rule Explorations Chain Rule Derivatives of Parametric, Polar, and Vector Functions Integrals Riemann Sums Definite Integral of a Rate of Change Basic Properties of Definite Integrals Applications of Integrals Fundamental Theorem of Calculus Antiderivative Basics Integration by Substitution Integration by Parts Integration by SimplePartial Fractions Improper Integrals Initial Value Problems Separable Differential Equations Numerical Approximations to Definite Integrals Polynomial Approximations and Series Concept of Series Geometric, Harmonic and Alternating Series Integral Test, Ratio Test, Comparison Test Taylor Polynomials Maclaurin and Taylor Series Manipulating Taylor Series Power Series Radius and Interval of Convergence Lagrange Error Bound Part IV Practice Examinations AB Exam 1 AB Exam 2 BC Exam 1 BC Exam 2 Part V Answers and Solutions Solutions for Part 2: Precalculus Review of Calculus Prerequisites Solutions for Part 3: Calculus Review of AB and BC Topics AB Exam 1 Solutions AB Exam 2 Solutions BC Exam 1 Solutions BC Exam 2 Solutions