Thomas' Calculus, Early Transcendentals, Media Upgrade, Part One

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  • Edition: 11th
  • Format: Paperback
  • Copyright: 2007-01-05
  • Publisher: Pearson
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Thomas'Calculus Early Transcendentals Media Upgrade, Eleventh Edition,responds to the needs of today's readers by developing their conceptual understanding while strengthening their skills in algebra and trigonometry, two areas of knowledge vital to the mastery of calculus. This book offers a full range of exercises, a precise and conceptual presentation, and a new media package designed specifically to meet the needs of today's readers. The exercises gradually increase in difficulty, helping readers learn to generalize and apply the concepts. The refined table of contents introduces the exponential, logarithmic, and trigonometric functions in Chapter 7 of the text.Functions, Limits and Continuity, Differentiation, Applications of Derivatives, Integration, Applications of Definite Integrals, Integrals and Transcendental Functions, Techniques of Integration, Further Applications of Integration, Conic Sections and Polar Coordinates, Infinite Sequences and Series. For all readers interested in Calculus.

Table of Contents

Functions Functions and Their Graphs Identifying Functions
Mathematical Models Combining Functions
Shifting and Scaling Graphs
Graphing with Calculators and Computers
Exponential Functions
Inverse Functions and Logarithms
Limits and Continuity
Rates of Change and Limits Calculating
Limits Using the Limit Laws Precise
Definition of a Limit
One-Sided Limits and Limits at Infinity
Infinite Limits and Vertical Asymptotes Continuity
Tangents and Derivatives
The Derivative as a Function
Differentiation Rules for Polynomials, Exponentials, Products and Quotients
The Derivative as a Rate of Change
Derivatives of Trigonometric Functions
The Chain Rule and Parametric Equations
Implicit Differentiation Derivatives of Inverse Functions and Logarithms
Inverse Trigonometric Functions
Related Rates Linearization and Differentials
Applications of Derivatives
Extreme Values of Functions
The Mean Value Theorem
Monotonic Functions and the First Derivative Test
Concavity and Curve Sketching
Applied Optimization Problems
Indeterminate Forms and LHopitals Rule
Newtons Method Antiderivatives
Integration Estimating with Finite Sums Sigma Notation and Limits of Finite Sums
The Definite Integral
The Fundamental Theorem of Calculus
Indefinite Integrals and the Substitution Rule
Substitution and Area Between Curves
Applications of Definite
Integrals Volumes by Slicing and Rotation
About an Axis Volumes by Cylindrical
Shells Lengths of Plane Curves
Moments and Centers of Mass Areas of Surfaces of Revolution and The Theorems of Pappus Work
Fluid Pressures and Forces
Integrals and Transcendental Functions
The Logarithm Defined as an Integral Exponential Growth and Decay Relative
Rates of Growth Hyperbolic Functions
Techniques of Integration Basic
Integration Formulas
Integration by Parts
Integration of Rational Functions by Partial Fractions Trigonometric
Integrals Trigonometric Substitutions
Integral Tables and Computer Algebra Systems Numerical
Integration Improper Integrals
Further Applications of Integration Slope Fields and Separable
Differential Equations First-Order Linear
Differential Equations Eulers Method Graphical Solutions of Autonomous
Equations Applications of First-Order
Differential Equations
Conic Sections and Polar Coordinates
Conic Sections and Quadratic Equations Classifying
Conic Sections by Eccentricity Quadratic Equations and Rotations
Conics and Parametric Equations
The Cycloid Polar Coordinates Graphing in Polar Coordinates Area and Lengths in Polar Coordinates
Conic Sections in Polar Coordinates
Infinite Sequences and Series Sequences Infinite Series
The Integral Test Comparison Tests
The Ratio and Root Tests Alternating Series, Absolute and Conditional Convergence
Power Series Taylor and Maclaurin Series Convergence of Taylor Series; Error Estimates Applications of Power Series Fourier Serie?
Mathematical Induction Proofs of Limit Theorems Commonly
Occurring Limits Theory of the Real Numbers Complex Numbers
The Distributive Law for Vector Cross Products Determinants and Cramers Rule
The Mixed Derivative Theorem and the Increment Theorem
The Area of a Parallelograms Projection on a Plane
Table of Contents provided by Publisher. All Rights Reserved.

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