Thomas' Calculus, Media Upgrade, Part One (Single Variable)
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Thomas' Calculus, Media Upgrade, Part One (Single Variable)

Thomas' Calculus, Media Upgrade, Part One (Single Variable)


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About the Book

<>Calculus hasn’t changed, but your students have. Many of today’s students have seen calculus before at the high school level.  However, professors report nationwide that students come into their calculus courses with weak backgrounds in algebra and trigonometry, two areas of knowledge vital to the mastery of calculus. Thomas’ Calculus, Media Upgrade, Eleventh Edition, Part One responds to the needs of today’s students by developing their conceptual understanding while maintaining a rigor appropriate to the calculus course.    Thomas’ Calculus, Media Upgrade, Eleventh Edition, Part One is now available with an enhanced MyMathLab™ course–the ultimate homework, tutorial and study solution for today’s students.  The enhanced MyMathLab course includes a rich and flexible set of course materials and features innovative Java™ Applets, Group Projects, and new MathXL® exercises.  This text is also available with WebAssign® and WeBWorK®.

Table of Contents:
(Practice Exercises, Additional Exercises, and Questions to Guide Your Review appear at the end of each chapter.)   Preliminaries Real Numbers and the Real Line Lines, Circles, and Parabolas Functions and Their Graphs Identifying Functions; Mathematical Models Combining Functions; Shifting and Scaling Graphs Trigonometric Functions Graphing with Calculators and Computers   2. Limits and Derivatives 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   3. Differentiation The Derivative as a Function Differentiation Rules The Derivative as a Rate of Change Derivatives of Trigonometric Functions The Chain Rule and Parametric Equations Implicit Differentiation Related Rates Linearization and Differentials   4. 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 L'Hopital's Rule Newton's Method Antiderivatives   5. 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   6. 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   7. Transcendental Functions Inverse Functions and their Derivatives Natural Logarithms The Exponential Function ax and loga x Exponential Growth and Decay Relative Rates of Growth Inverse Trigonometric Functions Hyperbolic Functions   8. 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   9. Further Applications of Integration Slope Fields and Separable Differential Equations First-Order Linear Differential Equations Euler's Method Graphical Solutions of Autonomous Equations Applications of First-Order Differential Equations   10. 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   11. 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 Series   Appendices 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 Cramer's Rule The Mixed Derivative Theorem and the Increment Theorem The Area of a Parallelogram's Projection on a Plane


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Product Details
  • ISBN-13: 9780321498755
  • Publisher: Pearson Education (US)
  • Publisher Imprint: Pearson
  • Height: 214 mm
  • No of Pages: 864
  • Weight: 1665 gr
  • ISBN-10: 0321498755
  • Publisher Date: 16 Feb 2007
  • Binding: Paperback
  • Language: English
  • Spine Width: 32 mm
  • Width: 259 mm


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Thomas' Calculus, Media Upgrade, Part One (Single Variable)
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