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# Schaum’s Outlines of Differential and Integral Calculus

PDF Free Download | Schaum’s Outlines of Theory and Problems of Differential and Integral Calculus Third Edition by Frank Ayres, Elliott Mendelson

## Contents of Differential and Integral Calculus

• ABSOLUTE VALUE; LINEAR COORDINATE SYSTEMS;
• INEQUALITIES
• THE RECTANGULAR COORDINATE SYSTEM
• LINES
• CIRCLES
• EQUATIONS AND THEIR GRAPHS
• FUNCTIONS
• LIMITS
• CONTINUITY
• THE DERIVATIVE
• RULES FOR DIFFERENTIATING FUNCTIONS
• IMPLICIT DIFFERENTIATION
• TANGENTS AND NORMALS
• MAXIMUM AND MINIMUM VALUES
• APPLIED PROBLEMS INVOLVING MAXIMA AND MINIMA
• RECTILINEAR AND CIRCULAR MOTION
• RELATED RATES
• DIFFERENTIATION OF TRIGONOMETRIC FUNCTIONS
• DIFFERENTIATION OF INVERSE TRIGONOMETRIC FUNCTIONS
• DIFFERENTIATION OF EXPONENTIAL AND LOGARITHMIC
• FUNCTIONS
• DIFFERENTIATION OF HYPERBOLIC FUNCTIONS
• PARAMETRIC REPRESENTATION OF CURVES
• CURVATURE
• PLANE VECTORS
• CURVILINEAR MOTION
• POLAR COORDINATES
• THE LAW OFTHE MEAN
• INDETERMINATE FORMS
• DIFFERENTIALS
• CURVE TRACING
• FUNDAMENTAL INTEGRATION FORMULAS
• INTEGRATION BY PARTS
• TRIGONOMETRIC INTEGRALS
• TRIGONOMETRIC SUBSTITUTIONS
• INTEGRATION BY PARTIAL FRACTIONS
• MISCELLANEOUS SUBSTITUTIONS
• INTEGRATION OF HYPERBOLIC FUNCTIONS
• APPLICATIONS OF INDEFINITE INTEGRALS
• THE DEFINITE INTEGRAL
• PLANE AREAS BY INTEGRATION
• EXPONENTIAL AND LOGARITHMIC FUNCTIONS; EXPONENTIAL GROWTH AND DECAY
• VOLUMES OF SOLIDS OF REVOLUTION
• VOLUMES OF SOLIDS WITH KNOWN CROSS SECTIONS
• CENTROIDS OF PLANE AREAS AND SOLIDS OF REVOLUTION
• MOMENTS OF INERTIA OF PLANE AREAS AND SOLIDS OF
• REVOLUTION
• FLUID PRESSURE
• WORK
• LENGTH OF ARC
• AREAS OF A SURFACE OF REVOLUTION
• CENTROIDS AND MOMENTS OF INERTIA OF ARCS AND
• SURFACES OF REVOLUTION
• PLANE AREA AND CENTROID OF AN AREA IN POLAR
• COORDINATES
• LENGTH AND CENTROID OF AN ARC AND AREA OF A
• SURFACE OF REVOLUTION IN POLAR COORDINATES
• IMPROPER INTEGRALS
• INFINITE SEQUENCES AND SERIES
• TESTS FOR THE CONVERGENCE AND DIVERGENCE OF
• POSITIVE SERIES
• SERIES WITH NEGATIVE TERMS
• COMPUTATIONS WITH SERIES
• POWER SERIES
• SERIES EXPANSION OF FUNCTIONS
• MACLAURIN’S AND TAYLOR’S FORMULAS WITH REMAINDERS
• COMPUTATIONS USING POWER SERIES
• APPROXIMATE INTEGRATION
• PARTIAL DERIVATIVES
• TOTAL DIFFERENTIALS AND TOTAL DERIVATIVES
• IMPLICIT FUNCTIONS
• SPACE VECTORS
• SPACE CURVES AND SURFACE
• DIRECTIONAL DERIVATIVES; MAXIMUM AND MINIMUM
• VALUES
• VECTOR DIFFERENTIATION AND INTEGRATION
• DOUBLE AND ITERATED INTEGRALS
• CENTROIDS AND MOMENTS OF INERTIA OF PLANE AREAS
• VOLUME UNDER A SURFACE BY DOUBLE INTEGRATION
• AREA OF A CURVED SURFACE BY DOUBLE INTEGRATION
• TRIPLE INTEGRALS
• MASSES OF VARIABLE DENSITY
• DIFFERENTIAL EQUATIONS
• DIFFERENTIAL EQUATIONS OF ORDER TWO

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