TY - BOOK
AU - Ayres,Frank
AU - Mendelson,Elliott
TI - Schaum's outline of calculus
T2 - McGraw-Hill's AccessEngineering
SN - 9780071795531
AV - QA303 .A96 2012
U1 - 515.076 23
PY - 2012///]
CY - New York
PB - McGraw-Hill
KW - Calculus
KW - Outlines, syllabi, etc
KW - Coordinates
KW - Curvature
KW - Differential calculus
KW - Differential equations
KW - Calculus, Integral
KW - Functional analysis
KW - Electronic books
KW - Internet resources
N1 - 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
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ER -