Calgary Public Library

Schaum's outline of beginning calculus, Elliott Mendelson

eng

index present

non fiction

Schaum's outline of beginning calculus

electronic resource

dictionaries

190788883

Elliott Mendelson

Schaum's outline seriesMcGraw Hill professional

"Devoted to the essentials of calculus. It carefully develops the principles of differentiation and integration and places special emphasis on the provision of all the steps used in the explanation of the basic ideas and the working out of the solved problems"--Pref

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

Schaum's outlines beginning calculusBeginning calculus