Limit search to available items
Book Cover
Author Ayres, Frank, 1901-1994.

Title Schaum's outline of theory and problems of differential and integral calculus / Frank Ayres, Jr. and Elliott Mendelson
Edition Third edition
Published New York : McGraw-Hill, [1990]


Location Call no. Vol. Availability
 W'PONDS  515 Ayr/Soo 1990  AVAILABLE
Description 484 pages : illustrations ; 28 cm
Series Schaum's outline series
Schaum's outline series.
Contents Machine derived contents note: Linear Coordinate Systems. Absolute Value. Inequalities. -- Rectangular Coordinate Systems. -- Lines. -- Circles. -- Equations and Their Graphs. -- Functions. -- Limits. -- Continuity. -- The Derivative. -- Rules for Differentiating Functions. -- Implicit Differentiation. -- Tangent and Normal Lines. -- Law of the Mean. -- Increasing and Decreasing Functions. -- Maximum and Minimum Values. -- Curve Sketching. -- Concavity. -- Symmetry. -- Review of Trigonometry. -- Differentiation of Trigonometric Functions. -- Inverse Trigonometric Functions. -- Rectilinear and Circular Motion. -- Related Rates. -- Differentials. Newton's Method. -- Antiderivatives. -- The Definite Integral. Area Under a Curve. -- The Fundamental Theorem of Calculus. -- The Natural Logarithm. -- Exponential and Logarithmic Functions. -- L'Hopital's Rule. -- Exponential Growth and Decay. -- Applications of Integration I: Area and Arc Length. -- Applications of Integration II: Volume. -- Techniques of Integration I: Integration by Parts. -- Techniques of Integration II: Trigonometric Integrands and Trigonometric Substitutions. -- Techniques of Integration III: Integration by Partial Fractions. -- Miscellaneous Substitutions. -- Improper Integrals. -- Applications of Integration II: Area of A Surface of Revolution. -- Parametric Representation of Curves. -- Curvature. -- Plane Vectors. -- Curvilinear Motion. -- Polar Coordinates. -- Infinite Sequences. -- Infinite Series. -- Series with Positive Terms. The Integral Test. Comparison Tests. -- Alternating Series. Absolute and Conditional Convergence. The Ratio Test. -- Power Series. -- Taylor and Maclaurin Series. Taylor's Formual with Remainder. -- Partial Derivatives. -- Total Differential. Differentiability. Chain Rules. -- Space Vectors. -- Surface and Curves in Space. -- Directional Derivatives. Maximum and Minimum Values. -- Vector Differentiation and Integration. -- Double and Iterated Integrals. -- Centroids and Moments of Inertia of Plane Areas. -- Double Integration Applied to Volume Under a Surface and the Area of A Curved Surface. -- Triple Integrals. -- Masses of Variable Density. -- Differential Equations of First and Second Order
Notes Cover title: Theory and problems of differential and integral calculus
Includes index
Spine title: Calculus
Subject Calculus -- Problems, exercises, etc.
Calculus -- Outlines, syllabi, etc.
Genre/Form Problems and exercises.
Author Mendelson, Elliott.
LC no. 89013068
ISBN 0070026629
Other Titles Calculus
Theory and problems of differential and integral calculus
Theory and problems of differential and integral calculus