000 02609nam a2200217Ia 4500
003 OSt
005 20240313163405.0
008 180620b1988 xxu||||| |||| 00| 0 eng d
020 _a0070991480
020 _a9780070991484
040 _cJUIT, Solan
082 _a515.076 MEN
100 _aMendelson, Elliott
245 _aSchaum's 3000 Problem in Calculus
_cby Elliott Mendelson
260 _aNew York:
_bMcGraw-Hill,
_c1988.
300 _av, 442p.
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 Formual 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.
650 _aCalculus - Problems and Solutions
906 _a2dc5de117f000001006454ea41f2bc66
942 _2ddc
_cTB
999 _c17420
_d17420