Calculus

Calculus: early transcendentals

by Sullivan, Michael

Type Book
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This volume provides a study of mathematical functions with applications, and an introduction to differential calculus. Topics include a review of algebra and functions, mathematical modeling with elementary functions, rates of change, inverse functions, logarithms and exponential functions, the derivative, differential equations, and Euler's method. Topics include graphical interpretations of the derivative, zeroes of functions, optimization, related rates, anti-differentiation, initial value …

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Title Statements

  • Full title :Calculus : early transcendentals / Michael Sullivan, Kathleen Miranda.

Summary

This volume provides a study of mathematical functions with applications, and an introduction to differential calculus. Topics include a review of algebra and functions, mathematical modeling with elementary functions, rates of change, inverse functions, logarithms and exponential functions, the derivative, differential equations, and Euler's method. Topics include graphical interpretations of the derivative, zeroes of functions, optimization, related rates, anti-differentiation, initial value problems, review of trigonometry, modeling with trigonometric functions, geometric sums and series, and the Fundamental Theorem of Calculus.

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Edition Statements

  • Publication Date:2014

Publication Statements

Notes

Includes index.

The Physical Object

  • Description:1 volume (various pagings) : : illustrations (chiefly color) ; : 28 cm

Edition Identifiers

  • ISBN:9781429254335, 1429254335, 1464152764, 9781464152764
  • oclc:ocn881132203
  • LC Classification:QA303.2
  • Dewey Decimal:515

Table of Contents

P. Preparing for Calculus -- 1. Limits and Continuity -- 2. The Derivative -- 3. More about Derivatives -- 4. Applications of the Derivative -- 5. The Integral -- 6. Applications of the Integral -- 7. Techniques of Integration -- 8. Infinite Series -- 9. Parametric Equations; Polar Equations -- 10. Vectors; Lines, Planes, and Quadric Surfaces in Space -- 11. Vector Functions -- 12. Functions of Several Variables -- 13. Directional Derivatives, Gradients, and Extrema -- 14. Multiple Integrals -- 15. Vector Calculus -- 16. Differential Equations -- Appendix A Precalculus Used in Calculus -- Appendix B Theorems, Proofs, and Definitions.

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