Calculus Super Review
Published on 1. January 2013
541 pages
978-0-7386-6567-2 (ISBN)
Description
Get all you need to know with Super Reviews! Each Super Review is packed with in-depth, student-friendly topic reviews that fully explain everything about the subject. The Calculus I Super Review includes a review of functions, limits, basic derivatives, the definite integral, combinations, and permutations. Take the Super Review quizzes to see how much you''ve learned - and where you need more study. Makes an excellent study aid and textbook companion. Great for self-study! DETAILS - From cover to cover, each in-depth topic review is easy-to-follow and easy-to-grasp - Perfect when preparing for homework, quizzes, and exams! - Review questions after each topic that highlight and reinforce key areas and concepts - Student-friendly language for easy reading and comprehension - Includes quizzes that test your understanding of the subject
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Research & Education Association
Calculus
Book
06/2000
Research & Education Association,U.S.
€33.63
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Content
- Intro
- REA's Books Are The Best...
- Title Page
- Copyright Page
- What this Super Review® Will Do for You
- Table of Contents
- CHAPTER 1 - Fundamentals
- 1.1 Number Systems
- 1.2 Inequalities
- 1.3 Absolute Value
- 1.4 Set Notation
- 1.5 Summation Notation
- CHAPTER 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
- CHAPTER 3 - Transcendental Functions
- 3.1 Trigonometric Functions
- 3.2 Inverse Trigonometric Functions
- 3.3 Exponential and Logarithmic Functions
- Quiz: Fundamentals, Functions and Transcendental Functions
- ANSWER KEY
- CHAPTER 4 - Limits
- 4.1 Definition
- 4.2 Theorems on Limits
- 4.3 One-Sided Limits
- 4.4 Special Limits
- 4.5 Continuity
- Quiz: Limits
- ANSWER KEY
- CHAPTER 5 - The Derivative
- 5.1 The Definition and ?-Method
- 5.2 Rules for Finding the Deriivatives
- 5.3 Implicit Differentiation
- 5.4 Trigonometric Differentiation
- 5.5 Inverse Trigonometric Dififeorentiation
- 5.6 Exponential and Logarithmic Differentiation
- 5.6.1 Steps in Logarithmic Differentiation
- 5.7 High Order Derivatives
- Quiz: The Derivative
- ANSWER KEY
- CHAPTER 6 - Applications of the Derivative
- 6.1 Rolle's Theorem
- 6.2 The Mean Value Theorem
- 6.3 L'Hôpital'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
- ANSWER KEY
- CHAPTER 7 - The Delfinite Integral
- 7.1 Antiderivatives
- 7.2 Area
- 7.3 Definition of Definite Integrals
- 7.4 Properties of Definite Integral
- 7.5 The Fundamental Theorem of Calculus
- 7.6 Indefinite Integral
- Quiz: The Definilte Integral
- ANSWER KEY
- CHAPTER 8 - Techniques of Integration
- 8.1 Table of Integrals
- 8.2 Integration by Parts
- 8.3 Partial Fractions
- 8.4 Trigonometric Substitution
- 8.5 Quadratic Functions
- CHAPTER 9 - Applications of the Integral
- 9.1 Area
- 9.2 Volume of a Solid of Resolution
- 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 Integral
- ANSWER KEY
- CHAPTER 10 - Parametric Equations
- 10.1 Parametric Equations
- 10.2 Derivatives of Parameitric Equations
- 10.3 Arc Length
- CHAPTER 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
- CHAPTER 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
- ANSWER KEY
- CHAPTER 13 - Vector Analysis
- 13.1 Two Dimensional Vectors
- 13.2 Three Dimensional Vectors
- 13.3 Vector Multiplication
- 13.4 Limits and Continuity
- 13.5 Diffeirentiation - (Velocity, Acceleration and Arc Length)
- 13.6 Curvatures, Tangential and Normal Comlponents
- 13.7 Kepler's Laws
- CHAPTER 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
- ANSWER KEY
- CHAPTER 15 - Partial Differentiation
- 15.1 Limits and Continuity
- 15.2 Partial Derivative
- 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 Taylor's Theorem with Remainder
- 15.9 Maxima and Minima
- 15.10 Lagrange Multipliers
- 15.11 Exact Differentials
- CHAPTER 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
- CHAPTER 17 - Vector Field
- 17.1 Vector Fields
- 17.2 Line Integrals
- 17.3 Green's Theorem
- 17.4 Divergence and Curl
- Quiz: Multiple Integration and Vector Fields
- ANSWER KEY
- CHAPTER 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
- ANSWER KEY
