Calculus Tutoring Book

ISBN-10: 0780310446

ISBN-13: 9780780310445

Edition: 1986

List price: $125.00 Buy it from $19.43
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This book fills an educational void by adapting unique classroom-tested techniques that students find most congenial...that strip the shroud of mystery from an esoteric subject...that prepare students for applications of calculus in later courses.
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Book details

List price: $125.00
Copyright year: 1986
Publisher: John Wiley & Sons, Incorporated
Publication date: 10/19/1993
Binding: Paperback
Pages: 544
Size: 8.00" wide x 10.00" long x 1.00" tall
Weight: 2.530
Language: English

Preface
Functions
Introduction
The Graph of a Function
The Trigonometric Functions
Inverse Functions and the Inverse Trigonometric Functions
Exponential and Logarithm Functions
Solving Inequalities Involving Elementary Functions
Graphs of Translations, Reflections, Expansions and Sums
Review of Problems for Chapter 1
Limits
Introduction
Finding Limits of Combinations of Functions
Indeterminate Limits
Review Problems for Chapter 2
The Derivative Part I: Preview
Definition and Some Applications of the Derivative
Derivatives of the Basic Functions
Nondifferentiable Functions
Derivatives of Constant Multiples, Sums, Products and Quotients
The Derivative of a Composition
Implicit Differentiation and Logarithmic Differentiation
Antidifferentiation
Review Problems for Chapter 3
The Derivative Part II: Relative Maxima and Minima
Absolute Maxima and Minima
L'H(pital's Rule and Orders of Magnitude
Indeterminate Products, Differences and Exponential Forms
Drawing Graphs of Functions
Related Rates
Newton's Method
Differentials
Separable Differential Equations
Review Problems for Chapter 4
The Integral Part I: Preview
Definition and Some Applications of the Integral
The Fundamental Theorem of Calculus
Numerical Integration
Nonintegrable Functions
Improper Integals
Review Problems for Chapter 5
The Integral Part II: Further Applications of the Integral
The Centroid of a Solid Hemisphere
Area and Arc Length
The Surface Area of a Cone and a Sphere
Integrals with a Variable Upper Limit
Review Problems for Chapter 6
Antidifferentiation
Introduction
Substitution
Pre-Table Algebra I
Pre-Table Algebra II: Partial Faction Decomposition
Integration by Parts
Recursion Formulas
Trigonometric Substitution
Choosing a Method
Combining Techniques of Antidifferentiation with the Fundamental Theorem
Review Problems for Chapter 7
Series
Introduction
Geometric Series
Convergence Tests for Positive Series I
Convergence Tests for Positive Series II
Alternating Series
Power Series Functions
Power Series Representations for Elementary Functions I
Power Series Representations for Elementary Functions II (Maclaurin Series)
The Taylor Reminder Formula and an Estimate for the Number e
Power Series in Powers of x - b (Taylor Series)
Review Problems for Chapter 8
Vectors
Introduction
Vector Addition, Subtraction, Scalar Multiplication and Norms
The Dot Product
The Cross Product
The Scalar Triple Product
The Velocity Vector
The Acceleration Vector
Review Problems for Chapter 9
Topics in Three-Dimensional Analytic Geometry
Spheres
Planes
Lines
Cylindrical and Quadric Surfaces
Cylindrical and Spherical Coordinates
Review Problems for Chapter 10
Partial Derivatives
Graphs and Level Sets
Partial Derivatives
Chain Rules for First-Order Partial Derivatives
Chain Rules for Second-Order Partial Derivatives
Maxima and Minima
The Gradient
Dif
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