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Schaum's Outline of Calculus by Elliott Mendelson,Frank Ayres
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    • Product code: 15687
    • ISBN: 0070419736, ISBN13: 9780070419735, 578 pages, paperback
      Published by McGraw-Hill Professional on 1999
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    Description of Schaum's Outline of Calculus

    Students can gain a thorough understanding of differential and integral calculus with this powerful study tool. They'll also find the related analytic geometry much easier. The clear review of algebra and geometry in this edition will make calculus easier for students who wish to strengthen their knowledge in these areas.

    Updated to meet the emphasis in current courses, this new edition includes problems and examples using graphing calculators.

    Contents of Schaum's Outline of Calculus

    Linear 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


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