Mathematical Excursion, Enhanced Edition

By presenting problem solving in purposeful and meaningful contexts, MATHEMATICAL EXCURSIONS, 2/e, provides users in the Liberal Arts course with a glimpse into the nature of mathematics and how it is used to understand our world. Highlights of the book include the proven Aufmann Interactive Method and multi-part Excursion exercises that emphasize collaborative learning. An extensive technology program provides users with a comprehensive set of support tools. This Enhanced Edition includes instant access to WebAssign®, the most widely-used and reliable homework system. WebAssign® presents over 500 problems, as well as links to relevant book sections, that help users grasp the concepts needed to succeed in this course. As an added bonus, the Start Smart Guide has been bound into this book. This guide contains instructions to help users learn the basics of WebAssign quickly.

Problem Solving
Inductive and Deductive Reasoning
Problem Solving with Patterns
Problem-Solving Strategies
Sets
Basic Properties of Sets
Complements, Subsets, and Venn Diagrams
Set Operations
Applications of Sets
Infinite Sets
Logic
Logic Statements and Quantifiers
Truth Tables, Equivalent Statements, and Tautologies
The Conditional and the Biconditional
The Conditional and Related Statements
Arguments
Euler Diagrams
Numeration Systems And Number Theory
Early Numeration Systems
Place-Value Systems
Different Base Systems
Arithmetic in Different Bases
Prime Numbers
Topics from Number Theory
Applications Of Equations
First-Degree Equations and Formulas
Rate, Ratio, and Proportion
Percent
Second-Degree Equations
Applications Of Functions
Rectangular Coordinates and Functions
Properties of Linear Functions
Finding Linear Models
Quadratic Functions
Exponential Functions
Logarithmic Functions
Mathematical Systems
Modular Arithmetic
Applications of Modular Arithmetic
Introduction to Group Theory
Geometry
Basic Concepts of Euclidean Geometry
Perimeter and Area of Plane Figures
Properties of Triangles
Volume and Surface Area
Introduction to Trigonometry
Non-Euclidean Geometry
Fractals
The Mathematics Of Graphs
Traveling Roads and Visiting Cities
Efficient Routes
Planarity and Euler's Formula
Map Coloring and Graphs
The Mathematics Of Finance
Simple IntereSt. Compound IntereSt. Credit Cards and Consumer Loans
Stocks, Bonds, and Mutual Funds
Home Ownership
Combinatorics And Probability
The Counting Principle
Permutations and Combinations
Probability and Odds
Addition and Complement Rules
Conditional Probability
Expectation
Statistics
Measures of Central Tendency
Measures of Dispersion
Measures of Relative Position
Normal Distributions
Linear Regression and Correlation
Apportionment And Voting
Introduction to Apportionment
Introduction to Voting
Weighted Voting Systems
Appendix: The Metric System Of Measurement
Web Appendix: Algebra Review
Table of Contents provided by Publisher. All Rights Reserved.

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Mathematical Excursion, Enhanced Edition

Summary

Table of Contents

Supplemental Materials