000			03279nam a2200241Ia 4500
003			NULRC
005			20250520100711.0
008			250520s9999 xx 000 0 und d
020			_a9780071795531
040			_cNULRC
050			_aQA 303 .A97 2013
100			_aAyres, Jr., Frank. _eauthor
245		0	_aSchaum's outlines calculus : _b1,105 fully solved problems 30 problem-solving videos online / _cFrank Ayres, Jr. and Elliott Mendelson
250			_aSixth Edition
260			_aNew York : _bMcGraw Hill Education, _cc2013
300			_axii, 534 pages : _billustrations ; _c28 cm.
365			_bUSD16.22
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'Hopital's Rule -- Exponential Growth and Decay -- Applications of Integration I: Area and Arc Length -- Applications of Integration II: Volume -- Techniques of Integration I: Integration by Parts -- Techniques of Integration II: Trigonometric Integrands and Trigonometric Substitutions -- Techniques of Integration III: Integration by Partial Fractions -- Miscellaneous Substitutions -- Improper Integrals -- Applications of Integration II: 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 -- Surface 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 First and Second Order .
520			_aThis all-in-one-package includes more than 1,100 fully solved problems, examples, and practice exercises to sharpen your problem-solving skills. Plus, you will have access to 30 detailed videos featuring Math instructors who explain how to solve the most commonly tested problems--it's just like having your own virtual tutor! You'll find everything you need to build confidence, skills, and knowledge for the highest score possible.
650			_aCALCULUS
942			_2lcc _cBK
999			_c11791 _d11791