Ayres, Frank, 1901-1994.

Schaum's outline of calculus [electronic resource] / Calculus Frank Ayres, Jr., Elliot Mendelson. - 6th ed. - New York : McGraw-Hill, [2012] - 1 electronic text : ill. - McGraw-Hill's AccessEngineering Schaum's outlines . - McGraw-Hill's AccessEngineering. Schaum's outline series. .

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.



9780071795531




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 resources.

QA303 / .A96 2012

515.076

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