Overview

Full Product Details

Author:   Marvin Bittinger ,  David Ellenbogen ,  Scott Surgent ,  Gene Kramer
Publisher:   Pearson Education (US)
Imprint:   Pearson
Edition:   2nd edition
ISBN:  

9780135165683

ISBN 10:   0135165687
Pages:   744
Publication Date:   26 July 2019
Audience:   College/higher education ,  Tertiary & Higher Education
Format:   Hardback
Publisher's Status:   Active
Availability:   Available To Order  
We have confirmation that this item is in stock with the supplier. It will be ordered in for you and dispatched immediately.

Table of Contents

Table of Contents Preface Prerequisite Skills Diagnostic Test Functions, Graphs, and Models R.1 Graphs and Equations R.2 Functions and Models R.3 Finding Domain and Range R.4 Slope and Linear Functions R.5 Nonlinear Functions and Models R.6 Exponential and Logarithmic Functions R.7 Mathematical Modeling and Curve Fitting Chapter Summary Chapter Review Exercises Chapter Test Extended Technology Application: Average Price of a Movie Ticket Differentiation 1.1 Limits: A Numerical and Graphical Approach 1.2 Algebraic Limits and Continuity 1.3 Average Rates of Change 1.4 Differentiation Using Limits and Difference Quotients 1.5 Leibniz Notation and the Power and Sum—Difference Rules 1.6 The Product and Quotient Rules 1.7 The Chain Rule 1.8 Higher-Order Derivatives Chapter Summary Chapter Review Exercises Chapter Test Extended Technology Application: Path of a Baseball: The Tale of the Tape Exponential and Logarithmic Functions 2.1 Exponential and Logarithmic Functions of the Natural Base, e 2.2 Derivatives of Exponential (Base-e) Functions 2.3 Derivatives of Natural Logarithmic Functions 2.4 Applications: Uninhibited and Limited Growth Models 2.5 Applications: Exponential Decay231 2.6 The Derivatives of ax and loga x Chapter Summary Chapter Review Exercises Chapter Test Extended Technology Application: The Business of Motion Picture Revenue and DVD Release Applications of Differentiation 3.1 Using First Derivatives to Classify Maximum and Minimum Values and Sketch Graphs 3.2 Using Second Derivatives to Classify Maximum and Minimum Values and Sketch Graphs 3.3 Graph Sketching: Asymptotes and Rational Functions 3.4 Optimization: Finding Absolute Maximum and Minimum Values 3.5 Optimization: Business, Economics, and General Applications 3.6 Marginals, Differentials, and Linearization 3.7 Elasticity of Demand 3.8 Implicit Differentiation and Logarithmic Differentiation 3.9 Related Rates Chapter Summary Chapter Review Exercises Chapter Test Extended Technology Application: Maximum Sustainable Harvest Integration 4.1 Antidifferentiation 4.2 Antiderivatives as Areas 4.3 Area and Definite Integrals 4.4 Properties of Definite Integrals: Additive Property, Average Value, and Moving Average 4.5 Integration Techniques: Substitution 4.6 Integration Techniques: Integration by Parts 4.7 Numerical Integration Chapter Summary Chapter Review Exercises Chapter Test Extended Technology Application: Business and Economics: Distribution of Wealth Applications of Integration 5.1 Consumer and Producer Surplus; Price Floors, Price Ceilings, and Deadweight Loss 5.2 Integrating Growth and Decay Models 5.3 Improper Integrals 5.4 Probability 5.5 Probability: Expected Value; the Normal Distribution 5.6 Volume 5.7 Differential Equations Chapter Summary Chapter Review Exercises Chapter Test Extended Technology Application: Curve Fitting and Volumes of Containers Functions of Several Variables 6.1 Functions of Several Variables 6.2 Partial Derivatives 6.3 Maximum—Minimum Problems 6.4 An Application: The Least-Squares Technique 6.5 Constrained Optimization: Lagrange Multipliers and the Extreme-Value Theorem 6.6 Double Integrals Chapter Summary Chapter Review Exercises Chapter Test Extended Technology Application: Minimizing Employees’ Travel Time in a Building Trigonometric Functions 7.1 Basics of Trigonometry 7.2 Derivatives of Trigonometric Functions 7.3 Integration of Trigonometric Functions 7.4 Inverse Trigonometric Functions and Applications Chapter Summary Chapter Review Exercises Chapter Test Extended Technology Application Differential Equations 8.1 Direction Fields, Autonomic Forms, and Population Models 8.2 Applications: Inhibited Growth Models 8.3 First-Order Linear Differential Equations 8.4 Higher-Order Differential Equations and a Trigonometry Connection Chapter Summary Chapter Review Exercises Chapter Test Extended Technology Application Sequences and Series 9.1 Arithmetic Sequences and Series 9.2 Geometric Sequences and Series 9.3 Simple and Compound Interest 9.4 Annuities and Amortization 9.5 Power Series and Linearization 9.6 Taylor Series and a Trigonometry Connection Chapter Summary Chapter Review Exercises Chapter Test Extended Technology Application Probability Distributions 10.1 A Review of Sets 10.2 Theoretical Probability 10.3 Discrete Probability Distributions 10.4 Continuous Probability Distributions: Mean, Variance, and Standard Deviation Chapter Summary Chapter Review Exercises Chapter Test Extended Technology Application Systems and Matrices (online only) 11.1 Systems of Linear Equations 11.2 Gaussian Elimination 11.3 Matrices and Row Operations 11.4 Matrix Arithmetic: Equality, Addition, and Scalar Multiples 11.5 Matrix Multiplication, Multiplicative Identities, and Inverses 11.6 Determinants and Cramer’s Rule 11.7 Systems of Linear Inequalities and Linear Programming Chapter Summary Chapter Review Exercises Chapter Test Extended Technology Application Combinatorics and Probability (online only) 12.1 Compound Events and Odds 12.2 Combinatorics: The Multiplication Principle and Factorial Notation 12.3 Permutations and Distinguishable Arrangements 12.4 Combinations and the Binomial Theorem 12.5 Conditional Probability and the Hypergeometric Probability Distribution Model 12.6 Independent Events, Bernoulli Trials, and the Binomial Probability Model 12.7 Bayes Theorem Chapter Summary Chapter Review Exercises Chapter Test Extended Technology Application Cumulative Review Appendix A: Review of Basic Algebra Appendix B: Indeterminate Forms and l’Hôpital’s Rule Appendix C: Regression and Microsoft Excel Appendix D: Areas for a Standard Normal Distribution Appendix E: Using Tables of Integration Formulas Answers Index of Applications Index

Reviews

Author Information

"Marvin Bittinger has been teaching math at the university level for more than thirty-eight years. Since 1968, he has been employed at Indiana University Purdue University Indianapolis, and is now professor emeritus of mathematics education. Professor Bittinger has authored over 250 publications on topics ranging from basic mathematics to algebra and trigonometry to applied calculus. He received his BA in mathematics from Manchester College and his PhD in mathematics education from Purdue University. Special honors include Distinguished Visiting Professor at the United States Air Force Academy and his election to the Manchester College Board of Trustees from 1992 to 1999. His hobbies include hiking in Utah, baseball, golf, and bowling. Professor Bittinger has also had the privilege of speaking at many mathematics conventions, most recently giving a lecture entitled ""Baseball and Mathematics."" In addition, he also has an interest in philosophy and theology, in particular, apologetics. Professor Bittinger currently lives in Carmel, Indiana, with his wife, Elaine. He has two grown and married sons, Lowell and Chris, and four granddaughters.   David Ellenbogen has taught math at the college level for over thirty years, spending most of that time in the Massachusetts and Vermont community college systems, where he has served on both curriculum and developmental math committees. He has also taught at St. Michael's College and the University of Vermont. Professor Ellenbogen has been active in the American Mathematical Association of Two Year Colleges since 1985, having served on its Developmental Mathematics Committee and as a Vermont state delegate.  He has been a member of the Mathematical Association of America since 1979 and has authored dozens of publications on topics ranging from prealgebra to calculus and has delivered lectures at numerous conferences on the use of language in mathematics. Professor Ellenbogen received his BA in mathematics from Bates College and his MA in community college mathematics education from the University of Massachusetts at Amherst, and a certificate of graduate study in Ecological Economics from the University of Vermont. Professor Ellenbogen has a deep love for the environment and the outdoors, and serves on the boards of three nonprofit organizations in his home state of Vermont. In his spare time, he enjoys playing jazz piano, hiking, biking, and skiing. He has two sons, Monroe and Zack. Scott Surgent received his B.S. and M.S. degrees in mathematics from the University of California—Riverside, and has taught mathematics at Arizona State University in Tempe, Arizona, since 1994. He is an avid sports fan and has authored books on hockey, baseball, and hiking. Scott enjoys hiking and climbing the mountains of the western United States. He was active in search and rescue, including six years as an Emergency Medical Technician with the Central Arizona Mountain Rescue Association (Maricopa County Sheriff’s Office) from 1998 until 2004. Scott and his wife, Beth, live in Scottsdale, Arizona. Gene Kramer received his PhD from the University of Cincinnati, where he researched the well-posedness of initial-boundary value problems for nonlinear wave equations.  He is currently a professor of mathematics at the University of Cincinnati Blue Ash College.  He is active in scholarship of teaching and learning research and is a member of the Academy of the Fellows for Teaching and Learning at the University of Cincinnati.  He is a co-founder and an editor for The Journal for Research and Practice in College Teaching and serves as a Peer Reviewer for the Higher Learning Commission. "

Tab Content 6

Author Website:  

Customer Reviews

Recent Reviews

No review item found!

Add your own review!

Countries Available

All regions