Mathematical Thinking and Quantitative Reasoning

by Aufmann, Richard N.; Lockwood, Joanne; Nation, Richard D.; Clegg, Daniel K.

• ISBN13: 9780618777372
• ISBN10: 0618777377
• Edition: 1st
• Format: Hardcover
• Copyright: 2007-01-12
• Publisher: Cengage Learning

Summary

Designed for the non-traditional Liberal Arts course, Mathematical Thinking and Quantitative Reasoning focuses on practical topics that students need to learn in order to be better quantitative thinkers and decision-makers. The author team's approach emphasizes collaborative learning and critical thinking while presenting problem solving in purposeful and meaningful contexts. While this text is more concise than the author team's Mathematical Excursions (? 2007), it contains many of the same features and learning techniques, such as the proven Aufmann Interactive Method. An extensive technology package provides instructors and students with a comprehensive set of support tools.

Table of Contents

Problem Solving

Inductive and Deductive Reasoning

Problem-Solving Strategies

Problem Solving Using Sets

Logic and its Applications

Logic Statements and Quantifiers

Truth Tables and Applications

The Conditional and Related Statements

Arguments

Euler Diagrams

Algebraic Models

First-Degree Equations and Formulas

Rate, Ratio, and Proportion

Percent

Direct and Inverse Variation

Measurement and Geometric Models

The Metric System

The U.S. Customary System

Basic Concepts of Euclidean Geometry

Perimeter and Area of Plane Figures

Properties of Triangles

Volume and Surface Area

Introduction to Trigonometry

Linear Models

Rectangular Coordinates and Functions

Properties of Linear Functions

Finding Linear Models

Linear Regression and Correlation

Nonlinear Models

Introduction to Nonlinear Functions

Exponential Functions

Logarithmic Functions

The Mathematics of Finance

Simple Interest

Compound Interest

Credit Cards and Consumer Loans

Stocks, Bonds, and Mutual Funds

Home Ownership

Probability and Statistics

Counting Methods

Introduction to Probability

Measures of Central Tendency

Measures of Dispersion

Measures of Relative Position

Normal Distributions

Inferential Statistics

Apportionment and Voting

Introduction to Apportionment

Introduction to Voting

Weighted Voting Systems

The Mathematics of Graphs

Traveling Roads and Visiting Cities

Efficient Routes

Map Coloring and Graphs Web

Appendix: Algebra Review (Available only online at this textbook's Online Study Center)

Table of Contents provided by Publisher. All Rights Reserved.