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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