Finite Mathematics and Calculus with Applications pdf_Finite Mathematics and Calculus with Applications 下载

KEY BENEFIT: Lial, Greenwell, and Ritchey continue their tradition of integrating relevant, realistic applications with current data sources to provide an application-oriented text for students majoring in business, management, economics, or the life or social sciences. The many opportunities for technology use allow for increased visualization and a better understanding of difficult concepts. In addition to MyMathLab®, a complete online course solution, a comprehensive series of video lectures is available for this text. KEY TOPICS: Algebra Reference, Linear Functions, Systems of Linear Equations and Matrices, Linear Programming: The Graphical Method, Linear Programming: The Simplex Method, Mathematics of Finance, Logic, Sets and Probability, Counting Principles: Further Probability Topics, Statistics, Nonlinear Functions, The Derivative, Calculating the Derivative, Graphs and the Derivative, Applications of the Derivative, Integration, Further Techniques and Applications of Integration, Multivariable Calculus, Probability and Calculus. MARKET: For all readers interested in Finite Mathematics and Applied Calculus.

作者简介
Marge Lial was always interested in math; it was her favorite subject in the first grade! Marge's intense desire to educate both her students and herself has inspired the writing of numerous best-selling textbooks. Marge, who received Bachelor's and Master's degrees from California State University at Sacramento, is now affiliated with American River College.

Marge is an avid reader and traveler. Her travel experiences often find their way into her books as applications, exercise sets, and feature sets. She is particularly interested in archeology. Trips to various digs and ruin sites have produced some fascinating problems for her textbooks involving such topics as the building of Mayan pyramids and the acoustics of ancient ball courts in the Yucatan.
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Raymond N. Greenwell earned a B.A. in Mathematics and Physics from the University of San Diego, and an M.S. in Statistics, an M.S. in Applied Mathematics, and a Ph.D. in Applied Mathematics from Michigan State University, where he earned the graduate student teaching award in 1979. After teaching at Albion College in Michigan for four years, he moved to Hofstra University in1983, where he currently is Professor of Mathematics.

Raymond has published articles on fluid mechanics, mathematical biology, genetic algorithms, combinatorics, statistics, and undergraduate mathematics education. He is a member of MAA, AMS, SIAM, NCTM, and AMATYC. He is currently (2002-2005) governor of the Metropolitan New York Section of the MAA, as well as webmaster and liaison coordinator, and he received a distinguished service award from the Section in 2003. He is an outdoor enthusiast and leads trips in the Sierra Club’s Inner City Outings program.
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Nathan P. Ritchey earned a B.A. in Mathematics with a minor in Music from Mansfield University of Pennsylvania. He earned a M.S. in Applied Mathematics and a Ph.D. in Mathematics from Carnegie Mellon University. He is currently a Professor of Mathematics and Chair of the Department of Mathematics and Statistics at Youngstown State University. He has published articles in economics, honors education, medicine, mathematics, operations research, and student recruitment. Nate is a Consultant/Evaluator for the North Central Association's Higher Learning Commission and regularly participates in program evaluations.

In recognition of his numerous activities, Nate has received the Distinguished Professor Award for University Service, the Youngstown Vindicator's "People Who Make a Difference Award," the Watson Merit Award for Department Chairs, the Spirit in Education Award from the SunTex corporation, and the Provost's Merit Award for significant contributions to the Honors Program.

A father of four children, Nate enthusiastically coaches soccer and softball. He also loves music, playing several instruments, and is a tenor in the Shenango Valley Chorale. More information about Nate Ritchey can be found at: http://www.as.ysu.edu/~nate/
目录
Chapter R: Algebra Reference (shared with FM, CWA, and Brief)
R-1 Polynomials
R-2 Factoring
R-3 Rational Expressions
R-4 Equations
R-5 Inequalities
R-6 Exponents
R-7 Radicals

Chapter 1: Linear Functions (shared with FM, CWA, and Brief)
1-1 Slopes and Equations of Lines
1-2 Linear Functions and Applications
1-3 The Least Squares Line
Chapter Review
Extended Application: Using Extrapolation to Predict Life Expectancy

Chapter 2: Systems of Linear Equations and Matrices (FM)
2-1 Solution of Linear Systems by the Echelon Method
2-2 Solution of Linear Systems by the Gauss-Jordan Method
2-3 Addition and Subtraction of Matrices
2-4 Multiplication of Matrices
2-5 Matrix Inverses
2-6 Input-Output Models
Chapter Review
Extended Application: Contagion

Chapter 3: Linear Programming: The Graphical Method (FM)
3-1 Graphing Linear Inequalities
3-2 Solving Linear Programming Problems Graphically
3-3 Applications of Linear Programming
Chapter Review

Chapter 4: Linear Programming: The Simplex Method (FM)
4-1 Slack Variables and the Pivot
4-2 Maximization Problems
4-3 Minimization Problems; Duality
4-4 Nonstandard Problems
Chapter Review
Extended Application: Using Integer Programming in the Stock-Cutting Problem

Chapter 5: Mathematics of Finance (FM)
5-1 Simple and Compound Interest
5-2 Future Value of an Annuity
5-3 Present Value of an Annuity; Amortization
Chapter Review
Extended Application: Time, Money, and Polynomials

Chapter 6: Logic (FM)
6-1 Statements
6-2 Truth Tables and Equivalent Statements
6-3 The Conditional and Circuits
6-4 More on the Conditional
6-5 Analyzing Arguments and Proofs
6-6 Analyzing Arguments with Quantifiers
Chapter Review
Extended Application: Logic Puzzles

Chapter 7: Sets and Probability (FM)
7-1 Sets
7-2 Applications of Venn Diagrams
7-3 Introduction to Probability
7-4 Basic Concepts of Probability
7-5 Conditional Probability; Independent Events
7-6 Bayes' Theorem
Chapter Review
Extended Application: Medical Diagnosis

Chapter 8: Counting Principles: Further Probability Topics (FM)
8-1 The Multiplication Principle; Permutations
8-2 Combinations
8-3 Probability Applications of Counting Principles
8-4 Binomial Probability
8-5 Probability Distributions; Expected Value
Chapter Review
Extended Application: Optimal Inventory for a Service Truck

Chapter 9: Statistics (FM)
9-1 Frequency Distributions; Measures of Central Tendency
9-2 Measures of Variation
9-3 The Normal Distribution
9-4 Normal Approximation to the Binomial Distribution
Chapter Review
Extended Application: Statistics in the Law - The Castaneda Decision

Chapter 10: Nonlinear Functions (Chapter 2 of CWA)
10-1 Properties of Functions
10-2 Quadratic Functions; Translation and Reflection
10-3 Polynomial and Rational Functions
10-4 Exponential Functions
10-5 Logarithmic Functions
10-6 Applications: Growth and Decay; Mathematics of Finance
Chapter Review
Extended Application: Characteristics of the Monkeyface Prickleback

Chapter 11: The Derivative (Chapter 3 of CWA)
11-1 Limits
11-2 Continuity
11-3 Rates of Change
11-4 Definition of the Derivative
11-5 Graphical Differentiation
Chapter Review
Extended Application: A Model for Drugs Administered Intravenously (new)

Chapter 12: Calculating the Derivative (Chapter 4 of CWA)
12-1 Techniques for Finding Derivatives
12-2 Derivatives of Products and Quotients
12-3 The Chain Rule
12-4 Derivatives of Exponential Functions
12-5 Derivatives of Logarithmic Functions
Chapter Review
Extended Application: Electric Potential and Electric Field (new)

Chapter 13: Graphs and the Derivative (Chapter 5 of CWA)
13-1 Increasing and Decreasing Functions
13-2 Relative Extrema
13-3 Higher Derivatives, Concavity, and the Second Derivative Test
13-4 Curve Sketching
Chapter Review
Extended Application: A Drug Concentration Model for Orally Administered
Medications (new)

Chapter 14: Applications of the Derivative (Chapter 6 of CWA)
14-1 Absolute Extrema
14-2 Applications of Extrema
14-3 Further Business Applications: Economic Lot Size; Economic Order  Quantity; Elasticity of Demand
14-4 Implicit Differentiation
14-5 Related Rates
14-6 Differentials: Linear Approximation
Chapter Review
Extended Application: A Total Cost Model for a Training Program

Chapter 15: Integration (Chapter 7 of CWA)
15-1 Antiderivatives
15-2 Substitution
15-3 Area and the Definite Integral
15-4 The Fundamental Theorem of Calculus
15-5 The Area Between Two Curves
15-6 Numerical Integration
Chapter Review
Extended Application: Estimating Depletion Dates for Minerals

Chapter 16: Further Techniques and Applications of Integration (Chapter 8 of CWA)
16-1 Integration by Parts
16-2 Volume and Average Value
16-3 Continuous Money Flow
16-4 Improper Integrals
16-5 Solutions of Elementary and Separable Differential Equations (Section 10.1 of CWA)
Chapter Review
Extended Application: Estimating Learning Curves in Manufacturing with    Integrals

Chapter 17: Multivariable Calculus (Chapter 9 of CWA)
17-1 Functions of Several Variables
17-2 Partial Derivatives
17-3 Maxima and Minima
17-4 Lagrange Multipliers
17-5 Total Differentials and Approximations
17-6 Double Integrals
Chapter Review
Extended Application: Using Multivariable Fitting to Create a Response Surface Design

Chapter 18: Probability and Calculus (Chapter 11 of CWA)
18-1 Continuous Probability Models
18-2 Expected Value and Variance of Continuous Random Variables
18-3 Special Probability Density Functions
Chapter Review
Extended Application: Exponential Waiting Times

Tables
Table 1 Formulas of/from Geometry
Table 2 Area Under a Normal Curve
Table 3 Integrals

Answers to Selected Exercises
Photo Acknowledgements
Index