Calculus, Alternate

ISBN-10: 0395889022

ISBN-13: 9780395889022

Edition: 6th 1998 (Alternate)

List price: $348.95 Buy it from $94.47 Rent it from $23.74
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Description: This traditional text offers a balanced approach that combines the theoretical instruction of calculus with the best aspects of reform, including creative teaching and learning techniques such as the integration of technology, the use of real data, real-life applications, and mathematical models. The Calculus with Analytic Geometry Alternate, 6/e, offers a late approach to trigonometry for those instructors who wish to introduce it later in their courses.

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Book details

List price: $348.95
Edition: 6th
Copyright year: 1998
Publisher: CENGAGE Learning
Publication date: 2/1/1998
Binding: Hardcover
Pages: 1280
Size: 8.75" wide x 10.50" long x 1.50" tall
Weight: 6.182
Language: English

Ron Larson received his PhD. in mathematics from the University of Colorado and has been a professor of mathematics at The Pennsylvania State University since 1970. He has pioneered the use of multimedia to enhance the learning of mathematics, having authored over 30 software titles since 1990. Dr. Larson has also conducted numerous seminars and in-service workshops for math teachers around the country about using computer technology as a teaching tool and motivational aid. His Interactive Calculus (a complete text on CD-ROM) received the 1996 Texty Award for the most innovative mathematics instructional material at the college level, and it was the first mainstream college textbook to be offered on the Internet.

The Pennsylvania State University, The Behrend College Bio: Robert P. Hostetler received his Ph.D. in mathematics from The Pennsylvania State University in 1970. He has taught at Penn State for many years and has authored several calculus, precalculus, and intermediate algebra textbooks. His teaching specialties include remedial algebra, calculus, and math education, and his research interests include mathematics education and textbooks.

Bruce Edwards has been a mathematics professor at the University of Florida since 1976. Dr. Edwards majored in mathematics at Stanford University, graduating in 1968. He then joined the Peace Corps and spent four years teaching math in Colombia, South America. He returned to the United States and Dartmouth in 1972, and he received his PhD. in mathematics in 1976. Dr. Edwards' research interests include the area of numerical analysis, with a particular interest in the so-called CORDIC algorithms used by computers and graphing calculators to compute function values. His hobbies include jogging, reading, chess, simulation baseball games, and travel.

The Cartesian Plane and Functions
Real Numbers and the Real Line
The Cartesian Plane
Graphs of Equations
Lines in the Plane
Functions
Limits and Their Properties
An Introduction to Limits
Techniques for Evaluating Limits
Continuity
Infinite Limits
e-d Definition of Limits
Differentiation
The Derivative and the Tangent Line Problem
Velocity, Acceleration, and Other Rates of Change
Differentiation Rules for Powers, Constant Multiples, and Sums
Differentiation Rules for Products and Quotients
The Chain Rule
Implicit Differentiation
Related Rates
Applications of Differentiation
Extrema on an Interval
Rolle's Theorem and the Mean Value Theorem
Increasing and Decreasing Functions and the First Derivative Test
Concavity and the Second Derivative Test
Limits at Infinity
A Summary of Curve Sketching
Optimization Problems
Newton's Method
Differentials
Business and Economics Applications
Integration
Antiderivatives and Indefinite Integration
Area
Riemann Sums and the Definite Integral
The Fundamental Theorem of Calculus
Integration by Substitution
Numerical Integration
Applications of Integration
Area of a Region Between Two Curves
Volume: The Disc Method
Volume: The Shell Method
Arc Length and Surfaces of Revolution
Work
Fluid Pressure and Fluid Force
Moments, Centers of Mass, and Centroids
Exponential and Logarithmic Functions
Exponential Functions
Differentiation and Integration of Exponential Functions
Inverse Functions
Logarithmic Functions
Logarithmic Functions and Differentiation
Logarithmic Functions and Integration
Growth and Decay
Indeterminate Forms and L'Hopital's Rule
Trigonometric Functions and Inverse Trigonometric Functions
Review of Trigonometric Functions
Graphs and Limits of Trigonometric Functions
Derivatives of Trigonometric Functions
Integrals of Trigonometric Functions
Inverse Trigonometric Functions and Differentiation
Inverse Trigonometric Functions: Integration and Completing the Square
Hyperbolic Functions
Integration Techniques and Improper Integrals
Basic Integration Formulas
Integration by Parts
Trigonometric Integrals
Trigonometric Substitution
Partial Fractions
Integration by Tables and Other Integration Techniques
Improper Integrals
Infinite Series
Sequences
Series and Convergence
The Integral Test and p-Series
Comparisons of Series
Alternating Series
The Ratio and Root Tests
Taylor Polynomials and Approximations
Power Series
Representation of Functions by Power Series
Taylor and Maclaurin Series
Conic Sections
Parabolas
Ellipses
Hyperbolas
Rotation and the General Second-Degree Equation
Plane Curves, Parametric Equations, and Polar Coordinates
Plane Curves and Parametric Equations
Parametric Equations and Calculus
Polar Coordinates and Polar Graphs
Tangent Lines and Curve Sketching in Polar Coordinates
Area and Arc Length in Polar Coordinates
Polar Equations for Conics and Kepler's Laws
Vectors and Curves in the Plane
Vectors in the Plane
The Dot Product of Two Vectors
Vector-Valued Functions
Velocity and Acceleration
Tangent Vectors and Normal Vectors
Arc Length and Curvature
Solid Analytic Geometry and Vectors in Space
Space Coordinates and Vectors in Space
The Cross Product of Two Vectors in Space
Lines and Planes in Space
Surfaces in Space
Curves and Vector-Valued Functions in Space
Tangent Vectors, Normal Vectors, and Curvature in Space
Functions of Several Variables
Introduction to Functions of Several Variables
Limits and Continuity
Partial Derivatives
Differentials
Chain Rules for Functions of Several Variables
Directional Derivatives and Gradients
Tangent Planes and Normal Lines
Extrema of Functions of Two Variables
Applications of Extrema of Functions of Two Variables
Lagrange Multipliers
Multiple Integration
Iterated Integrals and Area in the Plane
Double Integrals and Volume
Change of Variables: Polar Coordinates
Center of Mass and Moments of Inertia
Surface Area
Triple Integrals and Applications
Cylindrical and Spherical Coordinates
Triple Integrals in Cylindrical and Spherical Coordinates
Change of Variables: Jacobians
Vector Analysis
Vector Fields
Line Integrals
Conservative Vector Fields and Independence of Path
Green's Theorem
Parametric Surfaces
Surface Integrals
Divergence Theorem
Stokes's Theorem
Differential Equations
Definitions and Basic Concepts
Separation of Variables in First-Order Equations
Exact First-Order Equations
First-Order Linear Differential Equations
Second-Order Homogeneous Linear Equations
Second-Order Nonhomogeneous Linear Equations
Series Solutions of Differential Equations
Proofs of Selected Theorems
Basic Differentiation Rules for Elementary Functions
Integration Tables Answers to Odd-Numbered Exercises
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