![]() Laboratory Project Taylor Polynomials.Ĥ Applications of Differentiation.Ĥ.2 Maximum and Minimum Values.Īpplied Project The Calculus of Rainbows.Ĥ.3 Derivatives and the Shapes of Curves.Ĥ.4 Graphing with Calculus and Calculators.Ĥ.5 Indeterminate Forms and l’Hospital’s Rule.Īpplied Project The Shape of a Can.ĥ.3 Evaluating Definite Integrals.ĭiscovery Project Area Functions.ĥ.4 The Fundamental Theorem of Calculus. Laboratory Project Bézier Curves.ģ.5 Implicit Differentiation.ģ.6 Inverse Trigonometric Functions and Their Derivatives.ģ.7 Derivatives of Logarithmic Functions.ĭiscovery Project Hyperbolic Functions.ģ.8 Rates of Change in the Natural and Social Sciences.ģ.9 Linear Approximations and Differentials. ![]() Writing Project Early Methods for Finding Tangents.Ģ.7 The Derivative as a Function.Ģ.8 What Does f' Say about f?.ģ.1 Derivatives of Polynomials and Exponential Functions.ģ.2 The Product and Quotient Rules.ģ.3 Derivatives of Trigonometric Functions. Principles of Problem Solving.Ģ.1 The Tangent and Velocity Problems.Ģ.2 The Limit of a Function.Ģ.3 Calculating Limits Using the Limit Laws.Ģ.5 Limits Involving Infinity.Ģ.6 Derivatives and Rates of Change. Laboratory Project Running Circles Around Circles. Each title is just one component in a comprehensive calculus course program that carefully integrates and coordinates print, media, and technology products for successful teaching and learning.ġ.1 Four Ways to Represent a Function.ġ.2 Mathematical Models: A Catalog of Essential Functions.ġ.3 New Functions from Old Functions.ġ.4 Graphing Calculators and Computers.ġ.6 Inverse Functions and Logarithms. CALCULUS: CONCEPTS AND CONTEXTS is highly regarded because this text offers a balance of theory and conceptual work to satisfy more progressive programs as well as those who are more comfortable teaching in a more traditional fashion. ![]() These cover a wide range of topics and are arranged in roughly the same order as the corresponding material in the Stewart text.Stewart's CALCULUS: CONCEPTS AND CONTEXTS, FOURTH EDITION offers a streamlined approach to teaching calculus, focusing on major concepts and supporting those with precise definitions, patient explanations, and carefully graded problems. ![]() The manual includes 24 extended exercises or projects, varying considerably in length, difficulty, and provided guidance. It shows how to learn and use calculus with the help of Mathematica-not as a "black box," but rather as a tool for exploring calculus concepts and how calculus can be used to solve problems. This is a manual to accompany James Stewart's Calculus: Concepts and Contexts, Third Edition. Mathematica Basics | Limits and the Derivative | Applications of the Derivative | Integration | Applications of the Integral | Differential Equations | Sequences and Series | Projects | Appendices
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