Brief Calculus An Applied Approach, Enhanced Edition (with Enhanced WebAssign 1-Semester Printed Access Card)

ISBN-10: 1439047804

ISBN-13: 9781439047804

Edition: 8th 2010

List price: $202.95
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Book details

List price: $202.95
Edition: 8th
Copyright year: 2010
Publisher: Brooks/Cole
Publication date: 4/22/2009
Binding: Hardcover
Pages: 736
Size: 8.25" wide x 10.00" long x 1.25" tall
Weight: 3.520
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.

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.

A Precalculus Review
The Real Number Line and Order
Absolute Value and Distance on the Real Number Line
Exponents and Radicals
Factoring Polynomials
Fractions and Rationalization
Functions, Graphs, and Limits
The Cartesian Plane and the Distance Formula
Graphs of Equations
Lines in the Plane and Slope
Functions
Limits
Continuity
Differentiation
The Derivative and the Slope of a Graph
Some Rules for Differentiation
Rates of Change: Velocity and Marginals
The Product and Quotient Rules
The Chain Rule
Higher-Order Derivatives
Implicit Differentiation
Related Rates
Applications of the Derivative
Increasing and Decreasing Functions
Extrema and the First-Derivative Test
Concavity and the Second-Derivative
Optimization Problems
Business and Economics Applications
Asymptotes
Curve Sketching: A Summary
Differentials and Marginal Analysis
Exponential and Logarithmic Functions
Exponential Functions
Natural Exponential Functions
Derivatives of Exponential Functions
Logarithmic Functions
Derivatives of Logarithmic Functions
Exponential Growth and Decay
Integration and Its Applications
Antiderivatives and Indefinite Integrals
The General Power Rule and Substitution
Exponential and Logarithmic Integrals
Area and the Fundamental Theorem of Calculus
The Area of a Region Bounded by Two Graphs
The Definite Integral as the Limit of a Sum
Techniques of Integration
Integration by Parts and Present Value
Partial Fractions and Logistic Growth
Integration Tables
Numerical Integration
Improper Integrals
Functions of Several Variables
The Three-Dimensional Coordinate System
Surfaces in Space
Functions of Several Variables
Partial Derivatives
Extrema of Functions of Two Variables
Lagrange Multipliers
Least Squares Regression Analysis
Double Integrals and Area in the Plane
Applications of Double Integrals
Alternate Introduction to the Fundamental Theorem of Calculus
Formulas
Differentiation and Integration Formulas
Formulas from Business and Finance
Differential Equations
Solutions of Differential Equations
Separation of Variables
First-Order Linear Differential Equations
Applications of Differential Equations
Properties and Measurement (web only)
Review of Algebra, Geometry, and Trigonometry
Units of Measurements
Graphing Utility Programs (web only)
Graphing Utility Programs
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