Title Statements

  • Full title :Calculus / Earl W. Swokowski.

Edition Statements

  • Publication Date:©1991.
  • Edition:5th ed., Classic ed

Publication Statements

  • Publisher(s):Brooks/Cole
  • Place of Publication:Pacific Grove, Calif
  • Language:eng
  • Publication Date:©1991.

Notes

Revised edition of: Calculus with analytic geometry. 4th ed. ©1988.

The Physical Object

  • Description:xxii, 1053, 106 pages : : illustrations (chiefly color) ; : 26 cm

Edition Identifiers

  • ISBN:0534382126, 9780534382124, 0534983928, 9780534983925, 9780534435387, 0534435386, 0534924921, 9780534924928
  • oclc:ocm48208700
  • LC Classification:QA303
  • Dewey Decimal:515/.15

Table of Contents

1. Precalculus review -- Algebra -- Functions -- Trigonometry -- 2. Limits of functions -- Introduction to limits -- Definition of limit -- Techniques for finding limits -- Limits involving infinity -- Continuous functions -- 3. The derivative -- Tangent lines and rates of change -- Definition of derivative -- Techniques of differentiation -- Derivatives of the trigonometric functions -- Increments and differentials -- The chain rule -- Implicit differentiation -- Related rates -- 4. Applications of the derivative -- Extrema of functions -- The mean value theorem -- The first derivative test -- Concavity and the second derivative test -- Summary of graphical methods -- Optimization problems -- Rectilinear motion and other applications -- Newton's method -- 5. Integrals -- Antiderivatives and indefinite integrals -- Change of variables in indefinite integrals -- Summation of notation and area -- The definite integral -- Properties of the definite integral -- The fundamental theorem of calculus -- Numerical integration -- 6. Applications of the definite integral -- Area -- Solids of revolution -- Volumes by cylindrical shells -- Volumes by cross sections -- Arc length and surfaces o…

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