Schaum's outline series

Cover title: 3,000 solved problems in calculus

A collection of problems in various fields of calculus and their solutions

Includes index

Inequalities -- Absolute value -- Lines -- Circles -- Functions and their graphs -- Limits -- Continuity -- Derivative -- Chain rule -- Trigonometric functions and their derivatives -- Rolle's theorem, the mean value theorem, and the sign of the derivative -- Higher-order derivatives and implicit differentiation -- Maxima and minima -- Related rates curve sketching -- Graphs -- Applied maximum and minimum problems -- Rectilinear motion -- Area and arc length -- Volume -- Natural logarithm -- Exponential functions -- L'Hôpital's rule -- Exponential growth and decay -- Inverse trigonometric functions -- Integration by parts -- Trigonometric integrations and substitutions -- Integration of rational functions: the methos of partial fractions -- Integrals for surface area, work centroids -- Improper integrals -- Planar vectors -- Parametric equations, vector functions, curvilinear motion -- Polar coordinates -- Infinite sequences -- Power series -- Taylor and Maclauren series -- Vectors in space. lines and planes -- Functions of several variables -- Partial derivatives -- Directional derivatives and the gradient extreme values -- Multiple integrals and their applications -- Vector functions in space. Divergence and curl. Line intergrals -- Differential equations