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Thomas' Calculus






Edition:  11
Pub Date: 
Publisher:  Addison-Wesley
Summary: (Practice Exercises, Additional Exercises, and Questions to Guide Your Review appear at the END of each chapter.) Preliminaries. Real Numbers and the Real Line. Lines, Circles, and Parabolas. Functions and Their Graphs. Identifying Functions; Mathematical Models. Combining Functions; Shifting and Scaling Graphs. Trigonometric Functions. Graphing with Calculators and Computers. 2. Limits and Derivatives. Rates of Chan...ge and Limits. Calculating Limits Using the Limit Laws. Precise Definition of a Limit. One-Sided Limits and Limits at Infinity. Infinite Limits and Vertical Asymptotes. Continuity. Tangents and Derivatives. 3. Differentiation. The Derivative as a Function. Differentiation Rules. The Derivative as a Rate of Change. Derivatives of Trigonometric Functions. The Chain Rule and Parametric Equations. Implicit Differentiation. Related Rates. Linearization and Differentials. 4. Applications of Derivatives. Extreme Values of Functions. The Mean Value Theorem. Monotonic Functions and the First Derivative Test. Concavity and Curve Sketching. Applied Optimization Problems. Indeterminate Forms and L'Hopital's Rule. Newton's Method. Antiderivatives. 5. Integration. Estimating with Finite Sums. Sigma Notation and Limits of Finite Sums. The Definite Integral. The Fundamental Theorem of Calculus. Indefinite Integrals and the Substitution Rule. Substitution and Area Between Curves. 6. Applications of Definite Integrals. Volumes by Slicing and Rotation About an Axis. Volumes by Cylindrical Shells. Lengths of Plane Curves. Moments and Centers of Mass. Areas of Surfaces of Revolution and The Theorems of Pappus. Work. Fluid Pressures and Forces. 7. TranscENDental Functions. Inverse Functions and their Derivatives. Natural Logarithms. The Exponential Function. ax and loga x. Exponential Growth and Decay. Relative Rates of Growth. Inverse Trigonometric Functions. Hyperbolic Functions. 8. Techniques of Integration. Basic Integration Formulas. Integration by Parts. Integration of Rational Functions by Partial Fractions. Trigonometric Integrals. Trigonometric Substitutions. Integral Tables and Computer Algebra Systems. Numerical Integration. Improper Integrals. 9. Further Applications of Integration. Slope Fields and Separable Differential Equations. First-Order Linear Differential Equations. Euler's Method. Graphical Solutions of Autonomous Equations.

Weir, Maurice D. is the author of Thomas' Calculus, published 2004 under ISBN 9780321185587 and 0321185587. Twenty Thomas' Calculus textbooks are available for sale on ValoreBooks.com, one used from the cheapest price of $14.24, or buy new starting at $61.08.
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Thomas' Calculus

ISBN-13: 9780321185587

ISBN: 0321185587

Edition: 11th

Pub Date:
Publisher: Addison-Wesley
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