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Author Ayres, Frank, 1901-1994.

Uniform Title Schaum's outline of theory and problems of differential and integral calculus
Title Schaum's outlines calculus / Frank Ayres, Jr., PhD, Former Professor and Head of the Department of Mathematics, Dickinson College, Elliot Mendelson, PhD, Professor of Mathematics, Queens College.

Publication Info. New York : McGraw-Hill, [2013]

Copies

Location Call No. OPAC Message Status
 Axe 2nd Floor Stacks  515.076 Ay74s 2013    ---  Available
1 copy being processed for Axe Acquisitions Order.
Edition Sixth edition.
Description xii, 534 pages : illustrations ; 28 cm.
text txt rdacontent
unmediated n rdamedia
volume nc rdacarrier
Series Schaum's outlines
Schaum's outline series.
Note Revision of: Schaum's outline of theory and problems of differential and integral calculus. 3rd ed. c1990.
Includes index.
Summary More than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills.
Contents 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'Hôpital's rule -- Exponential growth and decay -- Applications of integration I: area and arc length -- Techniques of integration I: Volume -- Techniques of integration II: trigonometric integrands and trigonometric substitutions -- Techniques of integration III: integration by partial fractions -- Techniques of integration IV: miscellaneous substitutions -- Improper integrals -- Applications of integration III: 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 formula with remainder -- Partial derivatives -- Total differential. Differentiability. Chain rules -- Space vectors -- Surfaces 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 the first and second order.
Subject Calculus -- Outlines, syllabi, etc.
Calculus -- Problems, exercises, etc.
Calculus. (OCoLC)fst00844119
Genre/Form Outlines and syllabi.
Problems and exercises.
Outlines and syllabi. (OCoLC)fst01423836
Problems and exercises. (OCoLC)fst01423783
Added Author Mendelson, Elliott.
Added Title Calculus
ISBN 9780071795531 (pbk. ; acid-free paper)
0071795537 (pbk. ; acid-free paper)
9780071795548 (basic e-book)
9780071813839 (enhanced e-book)

 
    
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