000			02047nam a2200193Ia 4500
003			NULRC
005			20250520100536.0
008			250520s9999 xx 000 0 und d
020			_a70414653
040			_cNULRC
050			_aQA 303 .M381 1985
100			_aMendelson, Elliott _eauthor
245		0	_aSchaum's outline series theory and problems of beginning calculus / _cElliott Mendelson
260			_aNew York : _bMcGraw Hill Education, _cc1985
300			_a344 pages : _billustrations ; _c28 cm.
520			_aContents: 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. The sign of the derivative -- Rectilinear motion. Instantaneous velocity -- Instantaneous rate of change -- Related rates -- Approximation by differentials -- Higher-order derivatives -- Applications of the second derivative -- More maximum and minimum problems -- Angle measure -- The sine and cosine functions -- Graphs and derivatives of the 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; trigonometric substitutions -- Integration of rational functions: the method of partial fractions -- App. A. Trigonometric formulas -- App. B. Basic integration formulas -- App. C. Geometric formulas -- App. D. Trigonometric functions -- App. E. Natural logarithms -- App. F. Exponential functions.
650			_aCALCULUS
942			_2lcc _cBK
999			_c7317 _d7317