MARC Record from harvard_bibliographic_metadata

LEADER: 09638cam a2200469 a 4500
001 013589490-5
005 20130111134422.0
008 090130s2009 nyua 001 0 eng
010 $a 2009368199
016 7 $a014661743$2Uk
020 $a9780071508612
020 $a0071508619
035 0 $aocn272566921
040 $aDLC$beng$cDLC$dCOO$dQBX$dCGA$dOTP$dEDK$dOCLCQ$dYDXCP$dCDX$dOCLCQ$dBDX$dUKMGB
050 00 $aQA303$b.A96 2009
082 00 $a515$222
100 1 $aAyres, Frank,$d1901-1994.
245 10 $aSchaum's outlines calculus /$cFrank Ayres, Jr., Elliot Mendelson.
246 30 $aCalculus
250 $a5th ed.
260 $aNew York :$bMcGraw-Hill,$cc2009.
300 $a534 p. :$bill. ;$c28 cm.
490 1 $aSchaum's outline series
500 $aRev. ed. of: Schaum's outline of theory and problems of differential and integral calculus. 3rd ed. c1990.
500 $aIncludes index.
505 0 $a1: Linear Coordinate Systems: Absolute Value: Inequalities -- Linear coordinate system -- Finite intervals -- Infinite intervals -- Inequalities -- 2: Rectangular Coordinate Systems -- Coordinate axes -- Coordinates -- Quadrants -- Distance formula -- Midpoint formulas -- Proofs of geometric theorems -- 3: Lines -- Steepness of a line -- Sign of the slope -- Slope and steepness -- Equations of lines -- Point-slope equation -- Slope-intercept equation -- Parallel lines -- Perpendicular lines -- 4: Circles -- Equations of circles -- Standard equation of a circle -- 5: Equations And Their Graphs -- Graph of an equation -- Parabolas -- Ellipses -- Hyperbolas -- Conic sections -- 6: Functions -- 7: Limits -- Limit of a function -- Right and left limits -- Theorems on limits -- Infinity -- 8: Continuity -- Continuous function -- 9: Derivative -- Delta notation -- Derivative -- Notation for derivatives -- Differentiability -- 10: Rules For Differentiating Functions -- Differentiation -- Composite functions-the chain rule -- Alternative formulation of the chain rule -- Inverse functions -- Higher derivatives -- 11: Implicit Differentiation -- Implicit functions -- Derivatives of higher order -- 12: Tangent And Normal Lines -- Angles of intersection -- 13: Law Of The Mean: Increasing And Decreasing Functions -- Relative maximum and minimum -- Increasing and decreasing functions -- 14: Maximum And Minimum Values -- Critical numbers -- Second derivative test for relative extrema -- First derivative test -- Absolute maximum and minimum -- Tabular method for finding the absolute maximum and minimum.
505 0 $a15: Curve Sketching: Concavity: Symmetry -- Concavity -- Points of inflection -- Vertical asymptotes -- Horizontal asymptotes -- Symmetry -- Inverse functions and symmetry -- Even and odd functions -- Hints for sketching the graph of y=f(x) -- 16: Review Of Trigonometry -- Angle measure -- Directed angles -- Sine and cosine functions -- 17: Differentiation Of Trigonometric Functions -- Continuity of cos x and sin x -- Graph of sin x -- Graph of cos x -- Other trigonometric functions -- Derivatives -- Other relationships -- Graph of y=tan x -- Graph of y=sec x -- Angles between curves -- 18: Inverse Trigonometric Functions -- Derivative of sin-1 x -- Inverse cosine function -- Inverse tangent function -- 19: Rectilinear And Circular Motion -- Rectilinear motion -- Motion under the influence of gravity -- Circular motion -- 20: Related Rates -- 21: Differentials: Newton's Method -- Differential -- Newton's method -- 22: Antiderivatives -- Laws for antiderivatives -- 23: Definite Integral: Area Under A Curve -- Sigma notation -- Area under a curve -- Properties of the definite integral -- 24: Fundamental Theorem Of Calculus -- Mean-value theorem for integrals -- Average value of a function on a closed interval -- Fundamental theorem of calculus -- Change of variable in a definite integral -- 25: Natural Logarithm -- Natural logarithm -- Properties of the natural logarithm -- 26: Exponential And Logarithmic Functions -- Properties of e to the power of x -- General exponential function -- General logarithmic functions.
505 0 $a27: L'Hopital's Rule -- L'Hospital's Rule -- Indeterminate type 0-oo -- Indeterminate type oo-oo -- Indeterminate types 0, oo, and 1 -- 28: Exponential Growth And Decay -- Half-life -- 29: Applications Of Integration I: Area And Arc Length -- Area between a curve and the y axis -- Areas between curves -- Arc length -- 30: Applications Of Integration II: Volume -- Disk formula -- Washer method -- Cylindrical shell method -- Difference of shells formula -- Cross-section formula (slicing formula) -- 31: Techniques Of Integration I: Integration By Parts -- 32: Techniques Of Integration II: Trigonometric Integrands And Trigonometric Substitutions -- Trigonometric integrands -- Trigonometric substitutions -- 33: Techniques Of Integration III: Integration By Partial Fractions -- Method of partial fractions -- 34: Techniques Of Integration IV: Miscellaneous Substitutions -- 35: Improper Integrals -- Infinite limits of integration -- Discontinuities of the integrand --
505 0 $a36: Applications Of Integration III: Area Of A Surface Of Revolution -- 37: Parametric Representation Of Curves -- Parametric equations -- Arc length for a parametric curve -- 38: Curvature -- Derivative of arc length -- Curvature -- Radius of curvature -- Circle of curvature -- Center of curvature -- Evolute -- 39: Plane Vectors -- Scalars and vectors -- Sum and difference of two vectors -- Components of a vector -- Scalar product (or dot product) -- Scalar and vector projections -- Differentiation of vector functions -- 40: Curvilinear Motion -- Velocity in curvilinear motion -- Acceleration in curvilinear motion -- Tangential and normal components of acceleration -- 41: Polar Coordinates -- Polar and rectangular coordinates -- Some typical polar curves -- Angle of inclination -- Points of intersection -- Angle of intersection -- Derivative of the arc length -- Curvature -- 42: Infinite Sequences -- Infinite sequences -- Limit of a sequence -- Monotonic sequences --
505 0 $a43: Infinite Series -- Geometric series.
505 0 $a44: Series With Positive Terms: The Integral Test: Comparison Tests -- Series of positive terms -- 45: Alternating Series: Absolute And Conditional Convergence: The Ratio Test -- Alternating series -- 46: Power Series -- Power series -- Uniform convergence -- 47: Taylor And Maclaurin Series: Taylor's Formula With Remainder -- Taylor and Maclaurin series -- Applications of Taylor's formula with remainder -- 48: Partial Derivatives -- Functions of several variables -- Limits -- Continuity -- Partial derivatives -- Partial derivatives of higher order -- 49: Total Differential: Differentiability: Chain Rules -- Total differential -- Differentiability -- Chain rules -- Implicit differentiation -- 50: Space Vectors -- Vectors in space -- Direction cosines of a vector -- Determinants -- Vector perpendicular to two vectors -- Vector product of two vectors -- Triple scalar product -- Triple vector product -- Straight line -- Plane -- 51: Surfaces And Curves In Space -- Planes -- Spheres --
505 0 $aCylindrical surfaces -- Ellipsoid -- Elliptic paraboloid -- Elliptic cone -- Hyperbolic paraboloid -- Hyperboloid of one sheet -- Hyperboloid of two sheets -- Tangent line and normal plane to a space curve -- Tangent plane and normal line to a surface -- Surface of revolution -- 52: Directional Derivatives: Maximum And Minimum Values -- Directional derivatives -- Relative maximum and minimum values -- Absolute maximum and minimum values -- 53: Vector Differentiation And Integration -- Vector differentiation -- Space curves -- Surfaces -- Operation V -- Divergence and curl -- Integration -- Line integrals -- 54: Double And Iterated Integrals -- Double integral -- Iterated integral -- 55: Centroids And Moments Of Inertia Of Plane Areas -- Plane area by double integration -- Centroids -- Moments of inertia -- 56: Double Integration Applied To Volume Under A Surface And The Area Of A Curved Surface -- 57: Triple Integrals -- Cylindrical and spherical coordinates -- Triple integral --
505 0 $aEvaluation of triple integrals -- Centroids and moments of inertia -- 58: Masses Of Variable Density -- 59: Differential Equations Of First And Second Order -- Separable differential equations -- Homogeneous functions -- Integrating factors -- Second-order equations -- Appendix A -- Appendix B -- Index.
520 $aFrom the Publisher: Schaum's has Satisfied Students for 50 Years. Now Schaum's Biggest Sellers are in New Editions! For half a century, more than 40 million students have trusted Schaum's to help them study faster, learn better, and get top grades. Now Schaum's celebrates its 50th birthday with a brand-new look, a new format with hundreds of practice problems, and completely updated information to conform to the latest developments in every field of study. Schaum's Outlines-Problem Solved. More than 1.3 Million sold! This review of standard college courses in calculus has been updated to reflect the latest course scope and sequences. The new edition includes Green's and Stokes' theorems, as well as explanations of tough topics such as delta-epsilon proofs and Riemann Integrals.
650 0 $aCalculus$vOutlines, syllabi, etc.
650 0 $aCalculus$vProblems, exercises, etc.
700 1 $aMendelson, Elliott.
700 1 $aAyres, Frank,$d1901-1994.$tSchaum's outline of theory and problems of differential and integral calculus.
830 0 $aSchaum's outline series.
988 $a20130111
049 $aHLSS
906 $0DLC