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Calculus 8th Edition by Ron Larson, Robert Hostetler, Bruce Edwards 061850298X 9780618502981

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Calculus 8th Edition Ron Larson Digital Instant Download

Author(s): Ron Larson, Robert P. Hostetler, Bruce H. Edwards
ISBN(s): 9780618502981, 061850298X
Edition: 8
File Details: PDF, 56.04 MB
Year: 2005
Language: english
SKU: EB-4145738 Category: Tags: , ,

Calculus 8th Edition by Ron Larson, Robert Hostetler, Bruce Edwards – Ebook PDF Instant Download/Delivery: 061850298X, 9780618502981

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Product details:

ISBN 10: 061850298X

ISBN 13: 9780618502981

Author: Ron Larson, Robert P. Hostetler, Bruce H. Edwards

Designed for the three-semester calculus course for math and science majors, Calculus continues to offer instructors and students new and innovative teaching and learning resources. This was the first calculus text to use computer-generated graphics, to include exercises involving the use of computers and graphing calculators, to be available in an interactive CD-ROM format, to be offered as a complete, online calculus course, and to offer a two-semester Calculus I with Precalculus text. Every edition of the series has made the mastery of traditional calculus skills a priority, while embracing the best features of new technology and, when appropriate, calculus reform ideas. Now, the Eighth Edition is the first calculus program to offer algorithmic homework and testing created in Maple so that answers can be evaluated with complete mathematical accuracy. Two primary objectives guided the authors in writing this book: to develop precise, readable materials for students that clearly define and demonstrate concepts and rules of calculus and to design comprehensive teaching resources for instructors that employ proven pedagogical techniques and saves the instructor time. The Eighth Edition continues to provide an evolving range of conceptual, technological, and creative tools that enable instructors to teach the way they want to teach and students to learn they way they learn best.

Calculus 8th Table of contents:

Preparation for Calculus

Graphs and Models
Linear Models and Rates of Change
Functions and Their Graphs
Fitting Models to Data

Limits and Their Properties

A Preview of Calculus
Finding Limits Graphically and Numerically
Evaluating Limits Analytically
Continuity and One-Sided Limits
Infinite Limits
Section Project: Graphs and Limits of Trigonometric Functions

Differentiation

The Derivative and the Tangent Line Problem
Basic Differentiation Rules and Rates of Change
The Product and Quotient Rules and Higher-Order Derivatives
The Chain Rule
Implicit Differentiation
Section Project: Optical Illusions
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
Section Project: Rainbows
Concavity and the Second Derivative Test
Limits at Infinity
A Summary of Curve Sketching
Optimization Problems
Section Project: Connecticut River
Newton’s Method
Differentials

Integration

Antiderivatives and Indefinite Integration
Area
Riemann Sums and Definite Integrals
The Fundamental Theorem of Calculus
Section Project: Demonstrating the Fundamental Theorem
Integration by Substitution
Numerical Integration

Logarithmic, Exponential, and Other Transcendental Functions

The Natural Logarithmic Function: Differentiation
The Natural Logarithmic Function: Integration
Inverse Functions
Exponential Functions: Differentiation and Integration
Bases Other Than e and Applications
Section Project: Using Graphing Utilities to Estimate Slope
Inverse Trigonometric Functions: Differentiation
Inverse Trigonometric Functions: Integration
Hyperbolic Functions
Section Project: St. Louis Arch

Differential Equations

Slope Fields and Euler’s Method
Differential Equations: Growth and Decay
Separation of Variables and the Logistic Equation
First-Order Linear Differential Equations
Section Project: Weight Loss

Applications of Integration

Area of a Region Between Two Curves
Volume: The Disk Method
Volume: The Shell Method
Section Project: Saturn
Arc Length and Surfaces of Revolution
Work
Section Project: Tidal Energy
Moments, Centers of Mass, and Centroids
Fluid Pressure and Fluid Force

Integration Techniques, L’Hôpital’s Rule, and Improper Integrals

Basic Integration Rules
Integration by Parts
Trigonometric Integrals
Section Project: Power Lines
Trigonometric Substitution
Partial Fractions
Integration by Tables and Other Techniques
Indeterminate Forms and L’Hôpital’s Rule
Improper Integrals

Infinite Series

Sequences
Series and Convergence
Section Project: Cantor’s Disappearing Table
The Integral Test and p-Series
Section Project: The Harmonic Series
Comparisons of Series
Section Project: Solera Method
Alternating Series
The Ratio and Root Tests
Taylor Polynomials and Approximations
Power Series
Representation of Functions by Power Series
Taylor and Maclaurin Series

Conics, Parametric Equations, and Polar Coordinates

Conics and Calculus
Plane Curves and Parametric Equations
Section Project: Cycloids
Parametric Equations and Calculus
Polar Coordinates and Polar Graphs
Section Project: Anamorphic Art
Area and Arc Length in Polar Coordinates
Polar Equations of Conics and Kepler’s Laws

Vectors and the Geometry of Space

Vectors in the Plane
Space Coordinates and Vectors in Space
The Dot Product of Two Vectors
The Cross Product of Two Vectors in Space
Lines and Planes in Space
Section Project: Distances in Space
Surfaces in Space
Cylindrical and Spherical Coordinates

Vector-Valued Functions

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Tags: Ron Larson, Robert Hostetler, Bruce Edwards, Calculus