Writing Project How Newton Discovered the Binomial Series.Ĩ.8 Applications of Taylor Polynomials.Īpplied Project Radiation from the Stars.ĩ Vectors and the Geometry of Space.ĩ.1 Three-Dimensional Coordinate Systems.ĭiscovery Project The Geometry of a Tetrahedron.ĩ.5 Equations of Lines and Planes. Laboratory Project Logistic Sequences.Ĩ.3 The Integral and Comparison Tests Estimating Sums.Ĩ.4 Other Convergence Tests.Ĩ.6 Representations of Functions as Power Series.Ĩ.7 Taylor and Maclaurin Series. Writing Project Newton, Leibniz, and the Invention of Calculus.ĥ.7 Additional Techniques of Integration.ĥ.8 Integration Using Tables and Computer Algebra Systems.ĭiscovery Project Patterns in Integrals.ĥ.9 Approximate Integration.Ħ Applications of Integration.ĭiscovery Project Rotating on a Slant.Ħ.3 Volumes by Cylindrical Shells.Ħ.5 Average Value of a Function.Ħ.6 Applications to Physics and Engineering.ĭiscovery Project Complementary Coffee Cups.Ħ.7 Applications to Economics and Biology.ħ.1 Modeling with Differential Equations.ħ.2 Direction Fields and Euler’s Method.Īpplied Project How Fast Does a Tank Drain?.Īpplied Project Which Is Faster, Going Up or Coming Down?.ħ.4 Exponential Growth and Decay.Īpplied Project Calculus and Baseball.Ĩ Infinite Sequences and Series. 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. 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.
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