Further Applications of Integration.Ĩ.2: Area of a Surface of Revolution.Ĩ.3: Applications to Physics and Engineering.Ĩ.4: Applications to Economics and Biology.ĩ.1: Modeling with Differential Equations.ĩ.2: Direction Fields and Euler's Method.ĩ.4: Models for Population Growth.ġ0. Techniques of Integration.ħ.2: Trigonometric Integrals.ħ.3: Trigonometric Substitution.ħ.4: Integration of Rational Functions by Partial Fractions.ħ.5: Strategy for Integration.ħ.6: Integration Using Tables and Computer Algebra Systems.ħ.7: Approximate Integration.Ĩ. Applications of Integration.Ħ.3: Volumes by Cylindrical Shells.Ħ.5: Average Value of a Function.ħ. Applications of Differentiation.Ĥ.1: Maximum and Minimum Values.Ĥ.2: The Mean Value Theorem.Ĥ.3: How Derivatives Affect the Shape of a Graph.Ĥ.4: Indeterminate Forms and L'Hospital's Rule.Ĥ.5: Summary of Curve Sketching.Ĥ.6: Graphing with Calculus and Calculators.ĥ.3: The Fundamental Theorem of Calculus.ĥ.4: Indefinite Integrals and the Net Change Theorem.Ħ. 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.4: The Precise Definition of a Limit.Ģ.6: Limits at Infinity Horizontal Asymptotes.Ģ.7: Derivatives and Rates of Change.Ģ.8: The Derivative as a Function.ģ.1: Derivatives of Polynomials and Exponential Functions.ģ.2: The Product and Quotient Rules.ģ.3: Derivatives of Trigonometric Functions.ģ.5: Implicit Differentiation.ģ.6: Derivatives of Logarithmic Functions.ģ.7: Rates of Change in the Natural and Social Sciences.ģ.8: Exponential Growth and Decay.ģ.10: Linear Approximations and Differentials.Ĥ.
His patient examples and built-in learning aids will help you build your mathematical confidence and achieve your goals in the course.Ĭalculators, Computers, and Other Graphing Devices.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.5: Inverse Functions and Logarithms. With CALCULUS: EARLY TRANSCENDENTALS, Eighth Edition, Stewart conveys not only the utility of calculus to help you develop technical competence, but also gives you an appreciation for the intrinsic beauty of the subject. Success in your calculus course starts here! James Stewart's CALCULUS: EARLY TRANSCENDENTALS texts are world-wide best-sellers for a reason: they are clear, accurate, and filled with relevant, real-world examples.
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