{"product_id":"the-calculus-tutoring-book-9780780310445","title":"The Calculus Tutoring Book","description":"\u003cb\u003eBook Synopsis\u003c\/b\u003e\u003cbr\u003eThis book fills an educational void by adapting unique classroom-tested techniques that students find most congenial...that strip the shroud of mystery from an esoteric subject...that prepare students for applications of calculus in later courses.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eTable of Contents\u003c\/b\u003e\u003cbr\u003ePreface.\u003cbr\u003e \u003cbr\u003e FUNCTIONS.\u003cbr\u003e \u003cbr\u003e Introduction.\u003cbr\u003e \u003cbr\u003e The Graph of a Function.\u003cbr\u003e \u003cbr\u003e The Trigonometric Functions.\u003cbr\u003e \u003cbr\u003e Inverse Functions and the Inverse Trigonometric Functions.\u003cbr\u003e \u003cbr\u003e Exponential and Logarithm Functions.\u003cbr\u003e \u003cbr\u003e Solving Inequalities Involving Elementary Functions.\u003cbr\u003e \u003cbr\u003e Graphs of Translations, Reflections, Expansions and Sums.\u003cbr\u003e \u003cbr\u003e Review of Problems for Chapter 1.\u003cbr\u003e \u003cbr\u003e LIMITS.\u003cbr\u003e \u003cbr\u003e Introduction.\u003cbr\u003e \u003cbr\u003e Finding Limits of Combinations of Functions.\u003cbr\u003e \u003cbr\u003e Indeterminate Limits.\u003cbr\u003e \u003cbr\u003e Review Problems for Chapter 2.\u003cbr\u003e \u003cbr\u003e THE DERIVATIVE PART I.\u003cbr\u003e \u003cbr\u003e Preview.\u003cbr\u003e \u003cbr\u003e Definition and Some Applications of the Derivative.\u003cbr\u003e \u003cbr\u003e Derivatives of the Basic Functions.\u003cbr\u003e \u003cbr\u003e Nondifferentiable Functions.\u003cbr\u003e \u003cbr\u003e Derivatives of Constant Multiples, Sums, Products and Quotients.\u003cbr\u003e \u003cbr\u003e The Derivative of a Composition.\u003cbr\u003e \u003cbr\u003e Implicit Differentiation and Logarithmic Differentiation.\u003cbr\u003e \u003cbr\u003e Antidifferentiation.\u003cbr\u003e \u003cbr\u003e Review Problems for Chapter 3.\u003cbr\u003e \u003cbr\u003e THE DERIVATIVE PART II.\u003cbr\u003e \u003cbr\u003e Relative Maxima and Minima.\u003cbr\u003e \u003cbr\u003e Absolute Maxima and Minima.\u003cbr\u003e \u003cbr\u003e L'Hôpital's Rule and Orders of Magnitude.\u003cbr\u003e \u003cbr\u003e Indeterminate Products, Differences and Exponential Forms.\u003cbr\u003e \u003cbr\u003e Drawing Graphs of Functions.\u003cbr\u003e \u003cbr\u003e Related Rates.\u003cbr\u003e \u003cbr\u003e Newton's Method.\u003cbr\u003e \u003cbr\u003e Differentials.\u003cbr\u003e \u003cbr\u003e Separable Differential Equations.\u003cbr\u003e \u003cbr\u003e Review Problems for Chapter 4.\u003cbr\u003e \u003cbr\u003e THE INTEGRAL PART I.\u003cbr\u003e \u003cbr\u003e Preview.\u003cbr\u003e \u003cbr\u003e Definition and Some Applications of the Integral.\u003cbr\u003e \u003cbr\u003e The Fundamental Theorem of Calculus.\u003cbr\u003e \u003cbr\u003e Numerical Integration.\u003cbr\u003e \u003cbr\u003e Nonintegrable Functions.\u003cbr\u003e \u003cbr\u003e Improper Integals.\u003cbr\u003e \u003cbr\u003e Review Problems for Chapter 5.\u003cbr\u003e \u003cbr\u003e THE INTEGRAL PART II.\u003cbr\u003e \u003cbr\u003e Further Applications of the Integral.\u003cbr\u003e \u003cbr\u003e The Centroid of a Solid Hemisphere.\u003cbr\u003e \u003cbr\u003e Area and Arc Length.\u003cbr\u003e \u003cbr\u003e The Surface Area of a Cone and a Sphere.\u003cbr\u003e \u003cbr\u003e Integrals with a Variable Upper Limit.\u003cbr\u003e \u003cbr\u003e Review Problems for Chapter 6.\u003cbr\u003e \u003cbr\u003e ANTIDIFFERENTIATION.\u003cbr\u003e \u003cbr\u003e Introduction.\u003cbr\u003e \u003cbr\u003e Substitution.\u003cbr\u003e \u003cbr\u003e Pre-Table Algebra I.\u003cbr\u003e \u003cbr\u003e Pre-Table Algebra II: Partial Faction Decomposition.\u003cbr\u003e \u003cbr\u003e Integration by Parts.\u003cbr\u003e \u003cbr\u003e Recursion Formulas.\u003cbr\u003e \u003cbr\u003e Trigonometric Substitution.\u003cbr\u003e \u003cbr\u003e Choosing a Method.\u003cbr\u003e \u003cbr\u003e Combining Techniques of Antidifferentiation with the Fundamental Theorem.\u003cbr\u003e \u003cbr\u003e Review Problems for Chapter 7.\u003cbr\u003e \u003cbr\u003e SERIES.\u003cbr\u003e \u003cbr\u003e Introduction.\u003cbr\u003e \u003cbr\u003e Geometric Series.\u003cbr\u003e \u003cbr\u003e Convergence Tests for Positive Series I.\u003cbr\u003e \u003cbr\u003e Convergence Tests for Positive Series II.\u003cbr\u003e \u003cbr\u003e Alternating Series.\u003cbr\u003e \u003cbr\u003e Power Series Functions.\u003cbr\u003e \u003cbr\u003e Power Series Representations for Elementary Functions I.\u003cbr\u003e \u003cbr\u003e Power Series Representations for Elementary Functions II (Maclaurin Series).\u003cbr\u003e \u003cbr\u003e The Taylor Reminder Formula and an Estimate for the Number e.\u003cbr\u003e \u003cbr\u003e Power Series in Powers of x - b (Taylor Series).\u003cbr\u003e \u003cbr\u003e Review Problems for Chapter 8.\u003cbr\u003e \u003cbr\u003e VECTORS.\u003cbr\u003e \u003cbr\u003e Introduction.\u003cbr\u003e \u003cbr\u003e Vector Addition, Subtraction, Scalar Multiplication and Norms.\u003cbr\u003e \u003cbr\u003e The Dot Product.\u003cbr\u003e \u003cbr\u003e The Cross Product.\u003cbr\u003e \u003cbr\u003e The Scalar Triple Product.\u003cbr\u003e \u003cbr\u003e The Velocity Vector.\u003cbr\u003e \u003cbr\u003e The Acceleration Vector.\u003cbr\u003e \u003cbr\u003e Review Problems for Chapter 9.\u003cbr\u003e \u003cbr\u003e TOPICS IN THREE-DIMENSIONAL ANALYTIC GEOMETRY.\u003cbr\u003e \u003cbr\u003e Spheres.\u003cbr\u003e \u003cbr\u003e Planes.\u003cbr\u003e \u003cbr\u003e Lines.\u003cbr\u003e \u003cbr\u003e Cylindrical and Quadric Surfaces.\u003cbr\u003e \u003cbr\u003e Cylindrical and Spherical Coordinates.\u003cbr\u003e \u003cbr\u003e Review Problems for Chapter 10.\u003cbr\u003e \u003cbr\u003e PARTIAL DERIVATIVES.\u003cbr\u003e \u003cbr\u003e Graphs and Level Sets.\u003cbr\u003e \u003cbr\u003e Partial Derivatives.\u003cbr\u003e \u003cbr\u003e Chain Rules for First-Order Partial Derivatives.\u003cbr\u003e \u003cbr\u003e Chain Rules for Second-Order Partial Derivatives.\u003cbr\u003e \u003cbr\u003e Maxima and Minima.\u003cbr\u003e \u003cbr\u003e The Gradient.\u003cbr\u003e \u003cbr\u003e Differentials and Exact Differential Equations.\u003cbr\u003e \u003cbr\u003e Review Problems for Chapter 11.\u003cbr\u003e \u003cbr\u003e MULTIPLE INTEGRALS.\u003cbr\u003e \u003cbr\u003e Definition and Some Applications of the Double Integral.\u003cbr\u003e \u003cbr\u003e Computing Double Integrals.\u003cbr\u003e \u003cbr\u003e Double Integration in Polar Coordinates.\u003cbr\u003e \u003cbr\u003e Area and Volume.\u003cbr\u003e \u003cbr\u003e Further Applications of the Double Integral.\u003cbr\u003e \u003cbr\u003e Triple Integrals.\u003cbr\u003e \u003cbr\u003e Triple Integration in Spherical Coordinates.\u003cbr\u003e \u003cbr\u003e Center of Mass.\u003cbr\u003e \u003cbr\u003e Review Problems for Chapter 12.\u003cbr\u003e \u003cbr\u003e APPENDIX.\u003cbr\u003e \u003cbr\u003e A1: Distance and Slope.\u003cbr\u003e \u003cbr\u003e A2: Equations of Lines.\u003cbr\u003e \u003cbr\u003e A3: Circles, Ellipses, Hyperbolas and Parabolas.\u003cbr\u003e \u003cbr\u003e A4: The Binomial Theorem.\u003cbr\u003e \u003cbr\u003e A5: Determinants.\u003cbr\u003e \u003cbr\u003e A6: Polar Coordinates.\u003cbr\u003e \u003cbr\u003e Solutions to the Problems.\u003cbr\u003e \u003cbr\u003e Abbreviations Used in the Solutions.\u003cbr\u003e \u003cbr\u003e List of Symbols.\u003cbr\u003e \u003cbr\u003e Index.\u003cbr\u003e \u003cbr\u003e Authors' Biographies.","brand":"John Wiley \u0026 Sons Inc","offers":[{"title":"Default Title","offer_id":49404987408727,"sku":"9780780310445","price":97.16,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0817\/1739\/5799\/files\/9780780310445.jpg?v=1730488292","url":"https:\/\/bookcurl.com\/products\/the-calculus-tutoring-book-9780780310445","provider":"Book Curl","version":"1.0","type":"link"}