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Discovering Calculus: v. 2 A Preliminary Version

Discovering Calculus: v. 2 A Preliminary Version


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About the Book

Written in response to the call for reform of the traditional calculus sequence, "Discovering Calculus: A Preliminary Version" focuses on the "what" and "why" of calculus. Intuition and discovery are emphasized and students are encouraged to be active learners. This two-volume text addresses the students' realm of experience and uses accessible language. Applications illustrate topics relevant to many areas of study, such as biology, physics, chemistry, engineering, fluid dynamics, economics and astronomy. Standard, conceptual and essay exercises encourage students to explore both the analytical and geometric aspects of calculus. Differential equations are used to motivate discussions of exponential and logarithmic functions, trigonometric functions and infinite series. Questions check students's mastery of the material and supplementary projects are included to extend concepts covered in the text for individual or group work. Although the use of technology is encouraged, the text is not tied to a specific calculator or CAS. An instructor's resource guide is also available to supplement the text.

Table of Contents:
Part 1 Infinite series: function approximation and Taylor polynomials; power series; infinite series of numbers; power series revisited; infinite series and improper integrals. Part 2 Three-dimensional vectors and functions of two variables: three-dimensional space and vector functions; functions of two variables; some common surfaces; describing functions of two variables; vector fields. Part 3 Partial variables: the tangent line problem; partial derivatives; some uses of the gradient; critical points and local extrema; conservative vector fields; optimization and Lagrange multipliers; some applications. Part 4 Multiple integration: volume; iterated integrals and Fubini's Theorem; change of variables for double integrals; line integrals and Green's Theorem.


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Product Details
  • ISBN-13: 9780070375826
  • Publisher: McGraw-Hill Education - Europe
  • Publisher Imprint: McGraw-Hill Inc.,US
  • Height: 230 mm
  • Weight: 660 gr
  • ISBN-10: 0070375828
  • Publisher Date: 01 May 1994
  • Binding: Paperback
  • Sub Title: v. 2 A Preliminary Version
  • Width: 213 mm


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