Schaum's outline of beginning calculus

Mendelson, Elliott.

Schaum's outline of beginning calculus [electronic resource] / Schaum's outlines beginning calculus. Beginning calculus. Elliott Mendelson. - 3rd ed. - New York : McGraw-Hill, c2008. - 1 online resource. - Schaum's outline series. McGraw Hill professional. . - Schaum's outline series. McGraw Hill professional. .

Title from PDF title page (viewed Jan. 14, 2008) Previous ed.: 1997. Includes index.

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'H©þpital'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.

"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.

9780071594530 (electronic bk.) 0071594531 (electronic bk.) 9780071815239 (electronic bk.) 0071815236 (electronic bk.)

9786611113988


Calculus--Problems, exercises, etc.
Calculus--Outlines, syllabi, etc.


Electronic books.
Outlines, syllabi, etc.
Problems, exercises, etc.

QA303 .M387 2008

515.076



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