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010 |z  2012948439 
020 |a 9780071795531 
035 |a (Sirsi) a368993 
050 4 |a QA303  |b .A96 2012 
082 0 4 |a 515.076  |2 23 
100 1 |a Ayres, Frank,  |d 1901-1994. 
245 1 0 |a Schaum's outline of calculus  |h [electronic resource] /  |c Frank Ayres, Jr., Elliot Mendelson. 
246 3 0 |a Calculus 
250 |a 6th ed. 
260 |a New York :  |b McGraw-Hill,  |c [2012] 
300 |a 1 electronic text :  |b ill. 
490 1 |a McGraw-Hill's AccessEngineering 
490 1 |a Schaum's outlines 
500 |a Print version c2012. 
505 0 |a Linear coordinate systems. Absolute value. Inequalities -- Rectangular coordinate systems -- Lines -- Circles -- Equations and their graphs -- Functions -- Limits -- Continuity -- 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 -- Definite integral. Area under a curve -- Fundamental theorem of calculus -- 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 -- 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 first and second order -- Trigonometric formulas -- Geometric formulas. 
530 |a Also issued in print. 
588 |a Description based on cover image and table of contents, viewed on December 6, 2012. 
650 0 |a Calculus  |v Outlines, syllabi, etc. 
650 0 |a Coordinates  |v Outlines, syllabi, etc. 
650 0 |a Curvature  |v Outlines, syllabi, etc. 
650 0 |a Differential calculus  |v Outlines, syllabi, etc. 
650 0 |a Differential equations  |v Outlines, syllabi, etc. 
650 0 |a Calculus, Integral  |v Outlines, syllabi, etc. 
650 0 |a Functional analysis  |v Outlines, syllabi, etc. 
655 0 |a Electronic books. 
655 0 |a Internet resources. 
700 1 |a Mendelson, Elliott. 
830 0 |a McGraw-Hill's AccessEngineering. 
830 0 |a Schaum's outline series. 
856 4 0 |u https://accessengineeringlibrary.uam.elogim.com/content/book/9780071795531  |z Texto completo 
997 |a (c)2012 Cassidy Cataloguing Services, Inc.