Schaum's outline series

Includes index

Previous edition: 1997

Coordinate systems on a line -- Coordinate systems in a plane -- Graphs of equations -- Straight lines -- Intersections of graphs -- Symmetry -- Functions and their graphs -- Limits -- Special limits -- Continuity -- The slope of a tangent line -- The derivative -- More on the derivative -- Maximum and minimum problems -- The chain rule -- Implicit differentiation -- The mean-value theorem and the sign of the derivative -- Rectilinear motion and instantaneous velocity -- Instantaneous rate of change -- Related rates -- Approximation by differentials; Newton's method -- Higher-order derivatives -- Applications of the second derivative and graph sketching -- More maximum and minimum problems -- Angle measure -- Sine and cosine functions -- Graphs and derivatives of sine and cosine functions -- The tangent and other trigonometric functions -- Antiderivatives -- The definite integral -- The fundamental theorem of calculus -- Applications of integration I: area and arc length -- Applications of integration II: volume -- The natural logarithm -- Exponential functions -- L'Hôpital's rule: exponential growth and decay -- Inverse trigonometric functions -- Integration by parts -- Trigonometric integrands and trigonometric substitutions -- Integration of rational function: the method of partial fractions

A concise study guide for beginning calculus students that provides step-by-step instructions in solving problems; covers fundamentals; and contains 226 fully solved problems as well as over 1500 supplementary problems with answers