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Finite Mathematics and Applied Calculus

Finite Mathematics and Applied Calculus - 07 edition

ISBN13: 978-0618332915

Cover of Finite Mathematics and Applied Calculus 07 (ISBN 978-0618332915)
ISBN13: 978-0618332915
ISBN10: 061833291X

Cover type: Hardback
Edition: 07
Copyright: 2007
Publisher: Houghton Mifflin Harcourt
Published: 2007
International: No
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Finite Mathematics and Applied Calculus - 07 edition

ISBN13: 978-0618332915

Frank C. Wilson

ISBN13: 978-0618332915
ISBN10: 061833291X

Cover type: Hardback
Edition: 07
Copyright: 2007
Publisher: Houghton Mifflin Harcourt
Published: 2007
International: No

Geared toward business and social science majors in a two-semester finite mathematics and applied calculus course, this text equips students with the analytical tools and technological skills they will need in the workplace. Plain language and an easy-to-read style help stress conceptual understanding and reinforce key terms and concepts. At the same time, the incorporation of real-life applications, examples, and data help engage students--even those who have never enjoyed mathematics. Pedagogy throughout the text helps students analyze data from a variety of approaches, including numeric, algebraic, graphical, literal, and technological. A robust supplement package and exciting new technology program provide students with extensive learning and support, so that instructors can spend more time teaching.

  • Make It Real projects ask students to collect and analyze data that often mirrors their own experiences. Students are able to better process this information and connect math to their own lives.
  • Technology Tips are scattered throughout the text and help guide students through new techniques on the graphing calculator such as graphing a function, solving an equation, or finding the value of a function.
  • Examples, Exercises, and Applications focus on the business or social science student and are based on engaging real-life data.
  • Eduspace, powered by Blackboard, Houghton Mifflin's online learning tool brings your students quality online homework, tutorials, multimedia, and testing that correspond to the Finite Mathematics and Applied Calculus text. This content is paired with the recognized course management tools of Blackboard. Use Eduspace to teach all or part of a course online.
  • Streamlined content allows instructors to cover the text in its entirety.

Table of Contents

Chapter 1

Linear Functions
Linear Models

Chapter 2

Systems of Two-Variable Linear Equations
Using Matrices to Solve Linear Systems of Equations
Linear System Applications

Chapter 3

Matrix Addition and Scalar Multiplication
Matrix Multiplication and Inverses
Solving Matrix Equations
Leontief Input-Output Models

Chapter 4

Graphing Linear Inequalities
Graphically Solving Linear Programming Problems
The Simplex Method: Solving Standard Maximization Problems
Standard Minimization Problems and the Dual
The Simplex Method: Solving Problems with Mixed Constraints

Chapter 5

Quadratic Function Models
Higher Order Polynomial Function Models
Exponential Models
Logarithmic Models
Choosing a Mathematical Model

Chapter 6

Solving Exponential and Logarithmic Equations
Simple Interest and Compound Interest
Future Value of an Increasing Annuity
Present Value of a Decreasing Annuity

Chapter 7

Cardinality and the Addition and Multiplication Principles
Permutations and Combinations
Introduction to Probability
Basic Probability Concepts

Chapter 8

Conditional Probability
Bayes' Theorem
Markov Chains
Random Variables and Expected Value
Measures of Central Tendency and Dispersion
Normal Distributions

Chapter 9

Average Rates of Change
Limits and Instantaneous Rates of Change
The Derivative as a Slope: Graphical Method
The Derivative as a Function: Algebraic Method
Interpreting the Derivative

Chapter 10

10.1 Basic Derivative Rules
10.2 Product Rule
10.3 Chain Rule
10.4 Exponential and Logarithmic Rules
10.5 Implicit Differentiation

Chapter 11

11.1 Maxima and Minima
11.2 Applications of Maxima and Minima
11.3 Concavity an the Second Derivative
11.4 Related Rates

Chapter 12

12.1 The Indefinite Integral
12.2 Integration by Substitution
Using Sums to Approximate Area
The Definite Integral
The Fundamental Theorem of Calculus

Chapter 13

Integration by Parts
Area Between Two Curves
The Differential Equations and Applications
The Differential Equations: Limited Growth and Logistic Models

Chapter 14

Multivariable Functions
Partial Derivatives
Multivariable Maxima and Minima
14.4 Constrained Maxima and Minima and Applications