Calculus Late Transcendentals Single Variable 9th Edition by Howard Anton, Irl Bivens, Stephen Davis ISBN 0470183470 9780470183472

Calculus Late Transcendentals Single Variable 9th Edition by Howard Anton, Irl C. Bivens, Stephen Davis – Ebook PDF Instant Download/Delivery: 0470183470, 978-0470183472

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Product details:

ISBN 10: 0470183470

ISBN 13: 978-0470183472

Author:  Howard Anton, Irl C. Bivens, Stephen Davis 

Calculus Late Transcendentals Single Variable 9th Edition: The ninth edition continues to provide engineers with an accessible resource for learning calculus. The book includes carefully worked examples and special problem types that help improve comprehension. New applied exercises demonstrate the usefulness of the mathematics. Additional summary tables with step-by-step details are also incorporated into the chapters to make the concepts easier to understand. The Quick Check and Focus on Concepts exercises have been updated as well. Engineers become engaged in the material because of the easy-to-read style and real-world examples.

 

Calculus Late Transcendentals Single Variable 9th Edition Table of contents:

• Before calculus

  • Functions
  • New functions from old
  • Families of functions
  • Inverse functions

• Limits and continuity

  • Limits (an intuitive approach)
  • Computing limits
  • Limits at infinity; end behavior of a function
  • Limits (discussed more rigorously)
  • Continuity
  • Continuity of trigonometric functions

• The derivative

  • Tangent lines and rates of change
  • The derivative function
  • Introduction to techniques of differentiation
  • The product and quotient rules
  • Derivatives of trigonometric functions
  • The chain rule
  • Implicit differentiation
  • Related rates
  • Local linear approximation; differentials

• The derivative in graphing and applications

  • Analysis of functions I: increase, decrease, and concavity
  • Analysis of functions II: relative extrema; graphing polynomials
  • Analysis of functions III: rational functions, cusps, and vertical tangents
  • Absolute maxima and minima
  • Applied maximum and minimum problems
  • Rectilinear motion
  • Newton’s method
  • Rolle’s theorem; mean-value theorem

• Integration

  • An overview of the area problem
  • The indefinite integral
  • Integration by substitution
  • The definition of area as a limit; sigma notation
  • The definite integral
  • The fundamental theorem of calculus
  • Rectilinear motion revisited: using integration
  • Average value of a function and its applications
  • Evaluating definite integrals by substitution

• Applications of the definite integral in geometry, science, and engineering

  • Area between two curves
  • Volumes by slicing; disks and washers
  • Volumes by cylindrical shells
  • Length of a plane curve
  • Area of a surface revolution
  • Work
  • Moments, centers of gravity, and centroids
  • Fluid pressure and force

• Exponential, logarithmic, and inverse trigonometric functions

  • Exponential and logarithmic functions
  • Derivatives and integrals involving logarithmic functions
  • Derivatives of inverse functions; derivatives and integrals involving exponential functions
  • Graphs and applications involving logarithmic and exponential functions
  • L’Hôpital’s rule; indeterminate forms
  • Logarithmic and other functions defined by integrals
  • Derivatives and integrals involving inverse trigonometric functions
  • Hyperbolic functions and hanging cubes

• Principles of integral evaluation

  • An overview of integration methods
  • Integration by parts
  • Integrating trigonometric functions
  • Trigonometric substitutions
  • Integrating rational functions by partial fractions
  • Using computer algebra systems and tables of integrals
  • Numerical integration; Simpson’s rule
  • Improper integrals

• Mathematical modeling with differential equations

  • Modeling with differential equations
  • Separation of variables
  • Slope fields; Euler’s method
  • First-order differential equations and applications

 

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