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Schaum's outline of calculus [electronic resource] /

por Ayres, Frank; Mendelson, Elliott.
Tipo de material: materialTypeLabelLibroNúmero de ubicación: 515.076Series: McGraw-Hill's AccessEngineering: ; Schaum's outline series: Editor: New York : McGraw-Hill, [2012]Edición: 6th ed.Descripción: 1 electronic text : ill.ISBN: 9780071795531.Otro título: Calculus.Materia(s): Calculus -- Outlines, syllabi, etc | Coordinates -- Outlines, syllabi, etc | Curvature -- Outlines, syllabi, etc | Differential calculus -- Outlines, syllabi, etc | Differential equations -- Outlines, syllabi, etc | Calculus, Integral -- Outlines, syllabi, etc | Functional analysis -- Outlines, syllabi, etc | Electronic books | Internet resourcesRecursos en línea: Subscription required Also issued in print.
Contenidos:
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.
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Tipo de ítem Ubicación actual Colección Signatura topográfica Estado Fecha de vencimiento
Recurso Electrónico Recurso Electrónico Biblioteca Fundación Área Andina - Medellín
Colección digital Disponible
Recurso Electrónico Recurso Electrónico Biblioteca Fundación Área Andina - Pereira
Colección digital Disponible
Recurso Electrónico Recurso Electrónico Biblioteca Fundación Área Andina - Valledupar
Colección digital Disponible
Recurso Electrónico Recurso Electrónico Biblioteca General Fundación Área Andina - Bogotá
Colección digital Disponible

Print version c2012.

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.

Also issued in print.

Description based on cover image and table of contents, viewed on December 6, 2012.


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