Calculus

Overview

Super Review Study Guides ? All You Need to Know!

REA?s Super Review of Calculus is an excellent study guide and textbook companion for students at all learning levels who are studying Calculus.

The Super Review of Calculus offers you:

  • Concise, yet comprehensive coverage ...
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Calculus Super Review

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Overview

Super Review Study Guides – All You Need to Know!

REA’s Super Review of Calculus is an excellent study guide and textbook companion for students at all learning levels who are studying Calculus.

The Super Review of Calculus offers you:

  • Concise, yet comprehensive coverage of Calculus
  • Student-friendly language to make learning easier
  • Easy-to-grasp, logically ordered Calculus reviews that prepare you for homework, quizzes, midterms, and finals
  • Calculus review questions in Q & A format following each topic or chapter
  • Easy-to-follow detailed answer explanations to each review question
  • Calculus quizzes to test your knowledge of the material and guide you toward areas that need further study

 

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Product Details

  • ISBN-13: 9780878911820
  • Publisher: Research & Education Association
  • Publication date: 6/28/2000
  • Series: Super Reviews Study Guides
  • Pages: 472
  • Product dimensions: 5.51 (w) x 8.24 (h) x 1.10 (d)

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What This Book Will Do For You...

REA's SUPER REVIEWS provides all you need to know to excel in class and succeed on midterms, finals, and even pop quizzes.

Think of this book as giving you access to your own private tutor. Here, right at your fingertips, is a brisk review to help you not only understand your textbook but also pick up where even some of the best lectures leave off.

Outstanding features include...
- Comprehensive yet concise coverage
- Targeted preparation for subject tests
- Easy-to-follow & format that helps you master the subject matter
- End-of-chapter quizzes that provide pretest tune-up

We think you'll agree that, whether you're prepping for your next test or want to be a stronger contributor in class, REA's truly provides all you need to know!

Larry B. Kling
Super Review Program Director

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Table of Contents

TABLE OF CONTENTS

1 FUNDAMENTALS
1.1 Number Systems
1.2 Inequalities
1.3 Absolute Value
1.4 Set Notation
1.5 Summation Notation
2 FUNCTIONS
2.1 Functions
2.2 Combination of Functions
2.3 Properties of Functions
2.4 Graphing a Function
2.5 Lines and Slopes
2.6 Parametric Equations
3 TRANSCENDENTAL FUNCTIONS
3.1 Trigonometric Functions
3.2 Inverse Trigonometric Functions
3.3 Exponential and Logarithmic Functions
Quiz: Fundamentals, Functions and Transcendental Functions
4 LIMITS
4.1 Definition
4.2 Theorems on Limits
4.3 One-Sided Limits
4.4 Special Limits
4.5 Continuity
Quiz: Limits
5 THE DERIVATIVE
5.1 The Definition and D- Method
5.2 Rules for Finding the Derivatives
5.3 Implicit Differentiation
5.4 Trigonometric Differentiation
5.5 Inverse Trigonometric Differentiation
5.6 Exponential and Logarithmic Differentiation
5.7 High Order Derivatives
Quiz: The Derivative
6 APPLICATIONS OF THE DERIVATIVE
6.1 Rolle's Theorem
6.2 The Mean Value Theorem
6.3 L'Hopital's Rule
6.4 Tangents and Normals
6.5 Minimum and Maximum Values
6.6 Curve Sketching and the Derivative Tests
6.7 Rectilinear Motion
6.8 Rate of Change and Related Rates
Quiz: Applications of the Derivative
7 THE DEFINITE INTEGRAL
7.1 Antiderivatives
7.2 Area
7.3 Definition of Definite Integral
7.4 Properties of Definite Integral
7.5 The Fundamental Theorem of Calculus
7.6 Indefinite Integral
Quiz: The Definite Integral
8 TECHNIQUES OF INTEGRATION
8.1 Table on Integrals
8.2 Integration by Parts
8.3 Partial Fractions
8.4 Trigonometric Substitution
8.5 Quadratic Functions
9 APPLICATIONS OF THE INTEGRAL
9.1 Area
9.2 Area of a Solid of Revolution
9.3 Work
9.4 Fluid Pressure
9.5 Area of Surface of Revolution
9.6 Arc Length
Quiz: Techniques of Integration and Applications of the Integra
10 PARAMETRIC EQUATIONS
10.1 Parametric Equations
10.2 Derivatives of Parametric Equations
10.3 Arc Length
11 POLAR COORDINATES
11.1 Polar Coordinates
11.2 Graphs of Polar Equations
11.3 Polar Equation of Lines, Circles and Conics
11.4 Areas in Polar Coordinates
12 ANALYTIC GEOMETRY
12.1 Three-Dimensional Coordinate System
12.2 Equations of a Line and Plane in Space
Quiz: The Parametric Equations, Polar Coordinates, and Analytic Geometry
13 VECTOR ANALYSIS
13.1 Two Dimensional Vectors
13.2 Three Dimensional Vectors
13.3 Vector Multiplication
13.4 Limits and Continuity
13.5 Differentiation (Velocity, Acceleration and Arc Length)
13.6 Curvatures, Tangental and Normal Components
13.7 Kepler's Laws
14 REAL VALUED FUNCTIONS
14.1 Opened and Closed Sets
14.2 Limits and Continuity
14.3 Graphing
14.4 Quadric Surfaces
Quiz: Vector Analysis and Real Valued Functions
15 PARTIAL DIFFERENTIATION
15.1 Limits and Continuity
15.2 Partial Derivatives
15.3 Increments and Differentials
15.4 Application of the Chain Rule
15.5 Directional Derivative and Gradients
15.6 Tangent Planes
15.7 Total Differential
15.8 TaylorÍs Theorem with Remainder
15.9 Maxima and Minima
15.10 Lagrange Multipliers
15.11 Exact Differentials
16 MULTIPLE INTEGRATION
16.1 Double Integrals: Iterated Integrals
16.2 Area and Volume
16.3 Moment of Inertia and Center of Mass
16.4 Polar Coordinates
16.5 The Triple Integrals
16.6 Cylindrical and Spherical Coordinates of Triple Integrals
16.7 Surface Area A
16.8 Improper Integrals
17 VECTOR FIELDS
17.1 Vector Fields
17.2 Line Integrals
17.3 Green's Theorem
17.4 Divergence and Curl
Quiz: Multiple Integration and Vector Fields
18 INFINITE SERIES
18.1 Indeterminate Forms
18.2 Infinite Sequence
18.3 Convergent and Divergent Series
18.4 Positive Term Series
18.5 Alternating Series: Absolute and Conditional Convergence
18.6 Power Series
18.7 Taylor Series
Quiz: Infinite Series

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