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    Calculus

    ISBN-10: 0547167024
    ISBN-13: 9780547167022
    Author(s): Ron Larson, Bruce H. Edwards, Robert P. Hostetler
    Description: The Larson CALCULUS program has a long history of innovation in the calculus market. It has been widely praised by a generation of users for its solid and effective pedagogy that addresses the needs of a broad range of teaching and learning styles  More...
    List price: $305.95
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    List Price: $305.95
    Edition: 9th
    Publisher: Brooks/Cole
    Binding: Hardcover
    Pages: 1328
    Size: 9.00" wide x 11.00" long x 1.75" tall
    Weight: 6.468
    Language: English

    The Larson CALCULUS program has a long history of innovation in the calculus market. It has been widely praised by a generation of users for its solid and effective pedagogy that addresses the needs of a broad range of teaching and learning styles and environments. Each title is just one component in a comprehensive calculus course program that carefully integrates and coordinates print, media, and technology products for successful teaching and learning.

    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.

    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.

    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'Hopital'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 Integration Techniques
    Indeterminate Forms and L'Hopital's Rule
    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
    Vector-Valued Functions
    Section Project: Witch of Agnesi
    Differentiation and Integration of Vector-Valued Functions
    Velocity and Acceleration
    Tangent Vectors and Normal Vectors
    Arc Length and Curvature
    Functions of Several Variables
    Introduction to Functions of Several Variables
    Limits and Continuity
    Partial Derivatives
    Section Project: Moir? Fringes
    Differentials
    Chain Rules for Functions of Several Variables
    Directional Derivatives and Gradients
    Tangent Planes and Normal Lines
    Section Project: Wildflowers
    Extrema of Functions of Two Variables
    Applications of Extrema of Functions of Two Variables
    Section Project: Building a Pipeline
    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
    Section Project: Center of Pressure on a Sail
    Surface Area
    Section Project: Capillary Action
    Triple Integrals and Applications
    Triple Integrals in Cylindrical and Spherical Coordinates
    Section Project: Wrinkled and Bumpy Spheres
    Change of Variables: Jacobians
    Vector Analysis
    Vector Fields
    Line Integrals
    Conservative Vector Fields and Independence of Path
    Green's Theorem
    Section Project: Hyperbolic and Trigonometric Functions
    Parametric Surfaces
    Surface Integrals
    Section Project: Hyperboloid of One Sheet
    Divergence Theorem
    Stokes's Theorem
    Section Project: The Planimeter
    Bonus Online Material
    Additional Topics in Differential Equations (please visit URL to come)
    Exact First-Order Equations
    Second-Order Homogeneous Linear Equations
    Second-Order Nonhomogeneous Linear Equations
    Section Project: Parachute Jump
    Series Solutions of Differential Equations
    Book Appendices
    Proofs of Selected Theorems
    Integration Tables
    Online Appendices
    Precalculus Review (please visit URL to come)
    Real Numbers and the Real Number Line
    The Cartesian Plane
    Review of Trigonometric Functions
    Rotation and the General Second-Degree Equation (please visit URL to come)
    Complex Numbers (please visit URL to come)
    Business and Economic Applications (please visit URL to come)

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