000			03504nam a22003017a 4500
003			OSt
005			20231106054708.0
008			231106b ||||| |||| 00| 0 eng d
020			_a978001795531
040			_aCvSU-CCAT Campus Library. _bEnglish. _cCvSU-CCAT Campus Library. _erda.
050			_aCIR QA 303 _bA97 2013
100			_aAyres, Frank, 1901-1994. _97901
245			_aSchaum's outlines : _bCalculus / _cFrank Ayres, Jr., Elliott Mendelson.
250			_aSixth edition
260			_aNew York : _bMcGraw-Hill, _cc2013.
300			_axii, 534 pages : _billustrations; _c28 cm.
490			_aSchaum's outline series
500			_aRevision of: Schaum's outline of theory and problems of differential and integral calculus. 3rd ed. c1990
504			_aIncludes index
505			_aLinear coordinate systems. Absolute value. Inequalities Rectangular coordinate systems Lines Circles Equations and their graphs Functions Limits Continuity The derivative Rules for differentiating functions Implicit differentiation Tangent and normal lines Law of the mean. Increasing and decreasing functions Maximum and minimum values Curve sketching. Concavity. Symmetry Review of trigonometry Differentiation of trigonometric functions Inverse trigonometric functions Rectilinear and circular motion Related rates Differentials. Newton's method Antiderivatives The definite integral. Area under a curve The fundamental theorem of calculus The natural logarithm Exponential and logarithmic functions L'Hôpital's rule Exponential growth and decay Applications of integration I: area and arc length Techniques of integration I: Volume Techniques of integration II: trigonometric integrands and trigonometric substitutions Techniques of integration III: integration by partial fractions Techniques of integration IV: miscellaneous substitutions Improper integrals Applications of integration III: area of a surface of revolution Parametric representation of curves Curvature Plane vectors Curvilinear motion Polar coordinates Infinite sequences Infinite series Series with positive terms. The integral test. Comparison tests Alternating series. Absolute and conditional convergence. The ratio test Power series Taylor and Maclaurin series. Taylor's formula with remainder Partial derivatives Total differential. Differentiability. Chain rules Space vectors Surfaces and curves in space Directional derivatives. Maximum and minimum values Vector differentiation and integration Double and iterated integrals Centroids and moments of inertia of plane areas Double integration applied to volume under a surface and the area of a curved surface Triple integrals Masses of variable density Differential equations of the first and second order
520			_aMore than 40 million students have trusted Schaum's to help them succeed in the classroom and on exams. Schaum's is the key to faster learning and higher grades in every subject. Each Outline presents all the essential course information in an easy-to-follow, topic-by-topic format. You also get hundreds of examples, solved problems, and practice exercises to test your skills
546			_aIn English text.
650			_aCalculus. _9259
650			_aCalculus _vProblems, exercises, etc. _93250
700			_aMendelson, Elliott, author. _97902
942			_cBK _eSixth edition _hQA 303 A97 2013 _kCIR _2lcc
999			_c2424 _d2424