Overview

Drawing on their decades of teaching experience, William Briggs and Lyle Cochran have created a calculus text that carries the teacher’s voice beyond the classroom. That voice–evident in the narrative, the figures, and the questions interspersed in the narrative–is a master teacher leading readers to deeper levels of understanding. The authors appeal to readers’ geometric intuition to introduce fundamental concepts and lay the foundation for the more rigorous development that follows. Comprehensive exercise sets have received praise for their creativity, quality, and scope.

Full Product Details

Author:   William L. Briggs ,  Lyle Cochran ,  Lyle Cochran
Publisher:   Pearson Education (US)
Imprint:   Pearson
Edition:   United States ed
Dimensions:   Width: 22.10cm , Height: 4.30cm , Length: 27.90cm
Weight:   2.380kg
ISBN:  

9780321336118

ISBN 10:   0321336119
Pages:   1264
Publication Date:   22 April 2010
Audience:   College/higher education ,  Tertiary & Higher Education
Replaced By:   9781292062327
Format:   Hardback
Publisher's Status:   Out of Print
Availability:   In Print  
Limited stock is available. It will be ordered for you and shipped pending supplier's limited stock.

Table of Contents

1. Functions 1.1 Review of Functions 1.2 Representing Functions 1.3 Trigonometric Functions and Their Inverses   2. Limits 2.1 The Idea of Limits 2.2 Definitions of Limits 2.3 Techniques for Computing Limits 2.4 Infinite Limits 2.5 Limits at Infinity 2.6 Continuity 2.7 Precise Definitions of Limits   3. Derivatives 3.1 Introducing the Derivative 3.2 Rules of Differentiation 3.3 The Product and Quotient Rules 3.4 Derivatives of Trigonometric Functions 3.5 Derivatives as Rates of Change 3.6 The Chain Rule 3.7 Implicit Differentiation 3.8 Related Rates   4. Applications of the Derivative 4.1 Maxima and Minima 4.2 What Derivatives Tell Us 4.3 Graphing Functions 4.4 Optimization Problems 4.5 Linear Approximation and Differentials 4.6 Mean Value Theorem 4.7 L’Hôpital’s Rule 4.8 Antiderivatives   5. Integration 5.1 Approximating Areas under Curves 5.2 Definite Integrals 5.3 Fundamental Theorem of Calculus 5.4 Working with Integrals 5.5 Substitution Rule   6. Applications of Integration 6.1 Velocity and Net Change 6.2 Regions between Curves 6.3 Volume by Slicing 6.4 Volume by Shells 6.5 Length of Curves 6.6 Physical Applications   7. Logarithmic and Exponential Functions 7.1 Inverse Functions 7.2 The Natural Logarithmic and Exponential Functions 7.3 Logarithmic and Exponential Functions with Other Bases 7.4 Exponential Models 7.5 Inverse Trigonometric Functions 7.6 L’Hôpital’s Rule Revisited and Growth Rates of Functions   8. Integration Techniques 8.1 Integration by Parts 8.2 Trigonometric Integrals 8.3 Trigonometric Substitutions 8.4 Partial Fractions 8.5 Other Integration Strategies 8.6 Numerical Integration 8.7 Improper Integrals 8.8 Introduction to Differential Equations   9. Sequences and Infinite Series 9.1 An Overview 9.2 Sequences 9.3 Infinite Series 9.4 The Divergence and Integral Tests 9.5 The Ratio, Root, and Comparison Tests 9.6 Alternating Series Review   10. Power Series 10.1 Approximating Functions with Polynomials 10.2 Power Series 10.3 Taylor Series 10.4 Working with Taylor Series   11. Parametric and Polar Curves 11.1 Parametric Equations 11.2 Polar Coordinates 11.3 Calculus in Polar Coordinates 11.4 Conic Sections   12. Vectors and Vector-Valued Functions 12.1 Vectors in the Plane 12.2 Vectors in Three Dimensions 12.3 Dot Products 12.4 Cross Products 12.5 Lines and Curves in Space 12.6 Calculus of Vector-Valued Functions 12.7 Motion in Space 12.8 Length of Curves 12.9 Curvature and Normal Vectors   13. Functions of Several Variables 13.1 Planes and Surfaces 13.2 Graphs and Level Curves 13.3 Limits and Continuity 13.4 Partial Derivatives 13.5 The Chain Rule 13.6 Directional Derivatives and the Gradient 13.7 Tangent Planes and Linear Approximation 13.8 Maximum/Minimum Problems 13.9 Lagrange Multipliers   14. Multiple Integration 14.1 Double Integrals over Rectangular Regions 14.2 Double Integrals over General Regions 14.3 Double Integrals in Polar Coordinates 14.4 Triple Integrals 14.5 Triple Integrals in Cylindrical and Spherical Coordinates 14.6 Integrals for Mass Calculations 14.7 Change of Variables in Multiple Integrals   15. Vector Calculus 15.1 Vector Fields 15.2 Line Integrals 15.3 Conservative Vector Fields 15.4 Green’s Theorem 15.5 Divergence and Curl 15.6 Surface Integrals 15.6 Stokes’ Theorem 15.8 Divergence Theorem

Reviews

Author Information

William Briggs has been on the mathematics faculty at the University of Colorado at Denver for twenty-three years. He received his BA in mathematics from the University of Colorado and his MS and PhD in applied mathematics from Harvard University. He teaches undergraduate and graduate courses throughout the mathematics curriculum with a special interest in mathematical modeling and differential equations as it applies to problems in the biosciences. He has written a quantitative reasoning textbook, Using and Understanding Mathematics; an undergraduate problem solving book, Ants, Bikes, and Clocks; and two tutorial monographs, The Multigrid Tutorial and The DFT: An Owner’s Manual for the Discrete Fourier Transform. He is the Society for Industrial and Applied Mathematics (SIAM) Vice President for Education, a University of Colorado President’s Teaching Scholar, a recipient of the Outstanding Teacher Award of the Rocky Mountain Section of the Mathematical Association of America (MAA), and the recipient of a Fulbright Fellowship to Ireland.   Lyle Cochran is a professor of mathematics at Whitworth University in Spokane, Washington. He holds BS degrees in mathematics and mathematics education from Oregon State University and a MS and PhD in mathematics from Washington State University. He has taught a wide variety of undergraduate mathematics courses at Washington State University, Fresno Pacific University, and, since 1995, at Whitworth University. His expertise is in mathematical analysis, and he has a special interest in the integration of technology and mathematics education. He has written technology materials for leading calculus and linear algebra textbooks including the Instructor’s Mathematica Manual for Linear Algebra and Its Applications by David C. Lay and the Mathematica Technology Resource Manual for Thomas’ Calculus. He is a member of the MAA and a former chair of the Department of Mathematics and Computer Science at Whitworth University.  

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions