EVERYDAY FREE SHIPPING on $25 & up - Excludes marketplace items & rentals.
EVERYDAY FREE SHIPPING on $25 & up - Excludes marketplace items & rentals.
EVERYDAY FREE SHIPPING on $25 & up - Excludes marketplace items & rentals
Search
Calculus for Engineers and Scientists, Volume II

Calculus for Engineers and Scientists, Volume II - 98 edition

ISBN13: 978-0201307993

Cover of Calculus for Engineers and Scientists, Volume II 98 (ISBN 978-0201307993)
ISBN13: 978-0201307993
ISBN10: 0201307995
Cover type:
Edition/Copyright: 98
Publisher: Addison-Wesley Longman, Inc.
Published: 1998
International: No

USED
Sold Out
FREE Shipping on $25+
  • Ships Monday
  • 30-Day Returns
  • Condition: Very Good
Sold Out
More Shipping Options

Calculus for Engineers and Scientists, Volume II - 98 edition

ISBN13: 978-0201307993

Frank Giordano

ISBN13: 978-0201307993
ISBN10: 0201307995
Cover type:
Edition/Copyright: 98
Publisher: Addison-Wesley Longman, Inc.

Published: 1998
International: No
Summary

A calculus text for engineering and science majors covering all the calculus core material, through vector integral calculus, plus some basic material in differential equations. Designed for either a one-year or a more leisurely paced three-semester sequence. Developed for the Engineering/ Physics focused course, this new text covers only material essential for these students. This lean text can be covered in two semesters, or in a traditional three-semester course. It doesn't "skimp" on mathematical techniques, as these are critical for further courses. Key features include early coverage of vectors, optional graphing calculator material, optional computer algebra systems projects, a modeling focus, and discussion of differential equations material throughout the text.

  • Covers content necessary for Engineering/ Science majors in only two semesters (including vector integral calculus). Or, can be used in a more leisurely paced three-semester course.
  • Early coverage of vectors provides the background necessary for the study of electricity, fluid dynamics, and magnetism.
  • First order differential equations are covered in the first semester in conjunction with the Mean Value Theorem corollaries. Enables differential equations courses which follow calculus to begin at a higher level.
  • Coverage meets ABET (American Board for Engineering and Technology) requirements.
  • Graphing calculator use is optional.
  • Includes optional Computer Algebra System and group modeling projects.
  • Offers a strong mathematical modeling flavor.
  • Does not compromise the mathematical coverage and rigor necessary for engineering and science majors.

Table of Contents

Volume One

Chapter 1: Limits and Continuity

Limits and Rates of Change
Rules for Finding Limits
Continuity
Tangent Lines
Writing for Your Review
Practice Exercises
Additional Exercises-Theory, Examples, Applications

Chapter 2: Derivatives

The Derivative as a Function
The Derivative as a Rate of Change
Products, Quotients, and Negative Powers
Derivatives of Trigonometric Functions
The Chain Rule
Implicit Differentiation and Rational Exponents; Related Rates
Writing for Your Review
Practice Exercises
Additional Exercises-Theory, Examples, Applications

Chapter 3: Extreme Values and Differential Equations

Extreme Values of Functions
The Mean Value Theorem and Differential Equations
The Shape of a Graph
Graphical Solutions to Differential Equations
Exponential Functions and the Derivative of ex
Writing for Your Review
Practice Exercises
Additional Exercises-Theory, Examples, Applications

Chapter 4: Initial Value Problems

Indefinite Integrals, Differential Equations, and Modeling
Integral Rules; Integration by Substitution
First Order Differential Equations
Vectors in the Plane
Modeling Projectile Motion
Questions to Guide Your Review
Practice Exercises
Additional Exercises-Theory, Examples, Applications

Chapter 5: Definite Integrals

Estimating with Finite Sums
Riemann Sums and Definite Integrals
The Fundamental Theorem. The Natural Logarithm
Area
Substitution in Definite Integrals; Properties
The Mean Value Theorem and Proof of the Fundamental Theorem
Numerical Integration
Questions to Guide Your Review
Practice Exercises
Additional Exercises-Theory, Examples, Applications

Chapter 6: Applications of Derivatives and Integrals

Optimization
Linearization and Differentials
Newton's Method
Volume
Springs, Pumping, and Lifting
Fluid Forces
Questions to Guide Your Review
Practice Exercises
Additional Exercises-Theory, Examples, Applications

Chapter 7: Applications of Differential Equations

Growth and Decay; Linear First Order Differential Equations
Euler's Numerical Method
Models for Springs and Pendulums
Constant-Coefficient Homogeneous Second Order Linear Equations
Unforced Oscillatory Motion
Writing for Your Review
Practice Exercises
Additional Exercises-Theory, Examples, Applications

Chapter 8: Inverse Trigonometric Functions

Inverse Functions and Their Derivatives
Inverse Trigonometric Functions
Derivatives of Inverse Trigonometric Functions; Integrals
Writing for Your Review
Practice Exercises
Additional Exercises-Theory, Examples, Applications

Chapter 9: Techniques of Integration

Basic Integration Formulas
Integration by Parts-Running the Product Rule Backwards
Partial Fractions
Integration with a Computer Algebra System (CAS)
Numerical Integration: The Monte Carlo Method
Questions to Guide Your Review
Practice Exercises
Additional Exercises-Theory, Examples, Applications

Volume Two

Chapter 10: Vectors in Space

Vectors in Space
Dot Products
Cross Products
Lines and Planes in Space
Space Curves
Arc Length and the Unit Tangent Vector T
The TNB Frame; Tangential and Normal Components of Acceleration
Writing for Your Review
Practice Exercises
Additional Exercises-Theory, Examples, Applications

Chapter 11: Partial Derivatives

Functions, Limits, and Continuity
Partial Derivatives
The Chain Rule
Directional Derivatives, Gradient Vectors, and Tangent Planes
Linearization and Differentials
Partial Derivatives with Constrained Variables
Writing for Your Review
Practice Exercises
Additional Exercises-Theory, Examples, Applications

Chapter 12: Multiple Integrals

Double Integrals
Areas, Moments, and Center of Mass
Double Integrals in Polar Form
Triple Integrals in Rectangular Coordinates
Masses and Moments in Three Dimensions
Triple Integrals in Cylindrical and Spherical Coordinates
Substitutions in Multiple Integrals
Writing for Your Review
Practice Exercises
Additional Exercises-Theory, Examples, Applications

Chapter 13: Integration in Vector Fields

Line Integrals
Vector Fields, Work, Circulation, and Flux
Path Independence, Potential Functions, and Conservative Fields
Green's Theorem in the Plane
Surface Area and Surface Integrals
Parametrized Surfaces
Stokes's Theorem
The Divergence Theorem and a Unifed Theory
Writing for Your Review
Practice Exercises
Additional Exercises-Theory, Examples, Applications

Chapter 14: Extreme Values and Extensions of the Limit Concept

Extreme Values and Saddle Points for Multivariable Functions
Lagrange Multipliers
Extensions of the Limit Concept
L'Hôpital's Rule
Improper Integrals
Writing for Your Review
Practice Exercises
Additional Exercises-Theory, Examples, Applications

Chapter 15: Power Series

Power Series Representations of Functions
Taylor Series
Taylor's Theorem
Radius of Convergence
Convergence at Endpoints
Writing for Your Review
Practice Exercises
Additional Exercises-Theory, Examples, Applications

List price: $0.00
  • Marketplace
  • From
More Shipping Options