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| Genre/Form: | Problems, exercises, etc Outlines, syllabi, etc |
|---|---|
| Document Type: | Book |
| All Authors / Contributors: |
Elliott Mendelson |
| ISBN: | 9780071635356 0071635351 9780071487542 0071487549 |
| OCLC Number: | 173601293 |
| Notes: | Previous ed.: 1997. Includes index. |
| Description: | xi, 395 p. : ill. ; 28 cm. |
| Contents: | Coordinate systems on a line -- Coordinate systems in a plane -- Graphs of equations -- Straight lines -- Intersections of graphs -- Symmetry -- Functions and their graphs -- Limits -- Special limits -- Continuity -- The slope of a tangent line -- The derivative -- More on the derivative -- Maximum and minimum problems -- The chain rule -- Implicit differentiation -- The mean-value theorem and the sign of the derivative -- Rectilinear motion and instantaneous velocity -- Instantaneous rate of change -- Related rates -- Approximation by differentials; Newton's method -- Higher-order derivatives -- Applications of the second derivative and graph sketching -- More maximum and minimum problems -- Angle measure -- Sine and cosine functions -- Graphs and derivatives of sine and cosine functions -- The tangent and other trigonometric functions -- Antiderivatives -- The definite integral -- The fundamental theorem of calculus -- Applications of integration I: area and arc length -- Applications of integration II: volume -- The natural logarithm -- Exponential functions -- L'Hôpital's rule: exponential growth and decay -- Inverse trigonometric functions -- Integration by parts -- Trigonometric integrands and trigonometric substitutions -- Integration of rational function: the method of partial fractions. |
| Series Title: | Schaum's outline series. |
| Other Titles: | Schaum's outlines beginning calculus Beginning calculus |
| Responsibility: | Elliott Mendelson. |
Abstract:
Presents beginning calculus course information in an easy-to-follow, topic-by-topic format. This title provides you with many examples, solved problems, and practice exercises to test your skills. It
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