{"product_id":"9781605011103","title":"Calculus Study Guide","description":"\u003cp\u003eBoost Your grades with this illustrated Study Guide. You will use it from high school all the way to graduate school and beyond. \u003c\/p\u003e  \u003cp\u003e\u003cb\u003eFeatures\u003c\/b\u003e\u003c\/p\u003e  \u003cul\u003e   \u003cli\u003eIncludes both Calculus I and II \u003c\/li\u003e   \u003cli\u003eClear and concise explanations \u003c\/li\u003e   \u003cli\u003eDifficult concepts are explained in simple terms \u003c\/li\u003e   \u003cli\u003eIllustrated with graphs and diagrams \u003c\/li\u003e   \u003cli\u003eSearch for the words or phrases \u003c\/li\u003e   \u003cli\u003eAccess the guide anytime, anywhere - at home, on the train, in the subway. \u003c\/li\u003e   \u003cli\u003eUse your down time to prepare for an exam. \u003c\/li\u003e   \u003cli\u003eAlways have the guide available for a quick reference. \u003c\/li\u003e     \u003c\/ul\u003e  \u003cp\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003c\/p\u003e  \u003cp\u003e\u003cb\u003eIntroduction: \u003c\/b\u003eFunctions\u003c\/p\u003e  \u003cp\u003e\u003cb\u003eLimits and Continuity: \u003c\/b\u003eLimit of a Sequence | Limit of a Function | Limit of a function at infinity | Continuity | Classification of Discontinuities\u003c\/p\u003e  \u003cp\u003e\u003cb\u003eDerivative:\u003c\/b\u003e Computing the derivative | Quotient Rules | The Chain Rule | Implicit Function | Related Rates | Product Rule\u003cbr\u003e    \u003cb\u003eTable of derivatives:\u003c\/b\u003e General differentiation rules | Derivatives of simple functions | Derivatives of exponential and logarithmic functions | Derivatives of trigonometric functions | Derivatives of hyperbolic functions | Derivatives of Inverse Trigonometric Functions\u003c\/p\u003e  \u003cp\u003e\u003cb\u003eIntegration (Antiderivative): \u003c\/b\u003eIntegral | Arbitrary Constant of Integration | The Fundamental Theorem of Calculus\u003cbr\u003e    \u003cb\u003eTable of Integrals: \u003c\/b\u003eRules for integration of general functions | Integrals of simple functions | Rational functions | Irrational functions | Logarithms | Exponential functions | Trigonometric functions | Inverse Trigonometric Functions | Hyperbolic functions | Inverse hyperbolic functions | Definite integrals lacking closed-form antiderivatives | The \"sophomore's dream\" | Integral Curve | Euler-Maclaurin Formula | Trapezium rule\u003c\/p\u003e  \u003cp\u003e\u003cb\u003eLogarithms and Exponentials:\u003c\/b\u003e E - base of natural logarithm | Ln(x) | Hiperbolic functions\u003c\/p\u003e  \u003cp\u003e\u003cb\u003eApplications of the Definite Integral in Geometry: \u003c\/b\u003eArea of a Surface of Revolution | Solid of Revolution\u003c\/p\u003e  \u003cp\u003e\u003cb\u003eTechniques of Integration: \u003c\/b\u003eIntegration by Parts | The ILATE rule | Integration by Substitution | Trigonometric Substitution | Partial Fractions in Integration of Rational Function | Numeric Integration | Simpson Rule\u003c\/p\u003e  \u003cp\u003e\u003cb\u003ePrinciples of Integral Evaluation: \u003c\/b\u003eMethods of Contour Integration | Cauchy's Integral Formula | Improper Integrals | L'Hopital's Rule\u003c\/p\u003e  \u003cp\u003e\u003cb\u003eDifferential Equations: \u003c\/b\u003eFirst-Order Differential Equation | Linear Differential Equation\u003cbr\u003e    \u003cb\u003eExamples:\u003c\/b\u003e A separable first order linear ordinary differential equation | Non-separable first order linear ordinary differential equations | A simple mathematical model | Harmonic Oscillator | Stiff Equation\u003c\/p\u003e  \u003cp\u003e\u003cb\u003eNumerical Integration Methods: \u003c\/b\u003eNumerical Ordinary Differential Equations | Euler's Method | Runge-Kutta Methods | Multistep Method\u003c\/p\u003e  \u003cp\u003e\u003cb\u003eSeries: \u003c\/b\u003eTaylor Polynomials | Taylor Series | List of Taylor series | Lagrange Polynomial\u003c\/p\u003e","brand":"MobileReference","offers":[{"title":"Default Title","offer_id":47147929010416,"sku":"9781605011103","price":9.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9781605011103_p0.jpg?v=1763827153","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9781605011103","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}