Name: Mathematical Excursions
ISBN: 9781305965584

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Mathematical Excursions

MATHEMATICAL EXCURSIONS, Fourth Edition, teaches students that mathematics is a system of knowing and understanding our surroundings, and explores a selection of topics from various areas in mathematics. The topics were chosen to exemplify the power and diversity of mathematics and to connect math concepts to contemporary applications. For example, sending information across the Internet is better understood when one understands prime numbers; the perils of radioactive waste take on new meaning when one understands exponential functions; and the efficiency of the flow of traffic through an intersection is more interesting after seeing the system of traffic lights represented in a mathematical form. WebAssign is a flexible and fully customizable online instructional solution that puts powerful tools in your hands, enabling you to deploy assignments, add your own content, instantly assess individual student and class performance, and help your students master course concepts.

Instructors and students benefit from WebAssign content updates without having to transition to a new edition, including new problem types such as Responsive Labs, a new Activities Booklet, and more.

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Hardcopy textbook for Aufmann/Lockwood/Nation/Clegg's Mathematical Excursions. Buy direct for hassle-free returns. Included in Cengage Unlimited.

MATHEMATICAL EXCURSIONS

Digital Bundle: Mathematical Excursions, 4th WebAssign + VitalSource™ eBook (6-year access)

EPACK: K12AE MATHEMATICAL EXCU RSIONS WEBASSIGN + VS 6YR

K12 Print + Digital Bundle: Mathematical Excursions, 4th Student Edition + WebAssign (1-year access)

EPACK: K12AE MATHEMATICAL EXCU RSIONS + WEBASSIGN 1YR

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K12 Print + Digital Bundle: Mathematical Excursions, 4th Student Edition + WebAssign (6-year access)

EPACK: K12AE MATHEMATICAL EXCU RSIONS + WEBASSIGN 6YR

Mathematical Excursion, 4th K12 WebAssign (1-year access)

Our online learning platforms are designed to achieve better results. By increasing student engagement, improving teacher productivity, and using assessment to enable differentiation, we support growth. With Mathematical Excursion, our online solution goes further with content from the most trusted sources that not only aligns to your standards & certifications but creates a sense of belonging and inclusion.

WA IAC K12 MATHEMATICAL EXCURS ION 1YR

“Mathematical Excursions,” 5th Edition, with WebAssign develops students’ mathematical and analytical thinking skills for wherever their own excursions may lead. The authors prepare students for success with study strategies and an introduction to problem solving at the start and then help them discover key mathematical concepts and why they matter. Offering a wide range of topics that allows instructor creativity and flexibility, this new edition focuses on what students need to know for their lives and careers along with what will engage them. New coverage helps students make informed decisions and includes modern applications that students can relate to, including social media, streaming services, wind energy and hybrid vehicles. Exercise sets reinforce learning and range from drill and practice to interesting challenges such as Extensions and active learning Excursion exercises.

1. PROBLEM SOLVING.
Inductive and Deductive Reasoning. Excursion: The Monty Hall Problem. Estimation and Graphs. Excursion: Scientific Notation. Problem Solving with Patterns. Excursion: Polygonal Numbers. Problem-Solving Strategies. Excursion: Routes on a Probability Demonstrator.
Chapter 1 Summary.
Chapter 1 Review Exercises.
Chapter 1 Test.
2. SETS.
Basic Properties of Sets. Excursion: Fuzzy Sets. Complements, Subsets, and Venn Diagrams. Excursion: Subsets and Complements of Fuzzy Sets. Set Operations. Excursion: Union and Intersection of Fuzzy Sets. Applications of Sets. Excursion: Voting Systems. Infinite Sets. Excursion: Transfinite Arithmetic.
Chapter 2 Summary.
Chapter 2 Review Exercises.
Chapter 2 Test.
3. LOGIC.
Logic Statements and Quantifiers. Excursion: Switching Networks. Truth Tables Equivalent Statements and Tautologies. Excursion: Switching Networks-Part II. The Conditional and the Biconditional. Excursion: Logic Gates. The Conditional and Related Statements. Excursion: Sheffer's Stroke and the NAND Gate. Symbolic Arguments. Excursion: Fallacies. Arguments and Euler Diagrams. Excursion: Using Logic to Solve Cryptarithms.
Chapter 3 Summary.
Chapter 3 Review Exercises.
Chapter 3 Test.
4. APPORTIONMENT AND VOTING.
Introduction to Apportionment. Excursion: Apportioning the 1790 House of Representatives. Introduction to Voting. Excursion: Variations of the Borda Count Method. Weighted Voting Systems. Excursion: Blocking Coalitions and the Banzhaf Power Index.
Chapter 4 Summary.
Chapter 4 Review Exercises.
Chapter 4 Test.
5. THE MATHEMATICS OF GRAPHS.
Graphs and Euler Circuits. Excursion: Pen-Tracing Puzzles. Weighted Graphs. Excursion: Minimal Spanning Trees. Planarity and Euler's Formula. Excursion: The Five Regular Convex Polyhedra. Graph Coloring. Excursion: Modeling Traffic Lights with Graphs.
Chapter 5 Summary.
Chapter 5 Review Exercises.
Chapter 5 Test.
6. NUMERATION SYSTEMS AND NUMBER THEORY.
Early Numeration Systems. Excursion: A Rosetta Tablet for the Traditional Chinese Numeration System. Place-Value Systems. Excursion: Subtraction via the Nines Complement and the End-Around Carry. Different Base Systems. Excursion: Information Retrieval via a Binary Search. Arithmetic in Different Bases. Excursion: Subtraction in Base Two via the Ones Complement and the End-Around Carry. Prime Numbers. Excursion: The Distribution of the Primes. Topics from Number Theory. Excursion: A Sum of the Divisors Formula.
Chapter 6 Summary.
Chapter 6 Review Exercises.
Chapter 6 Test.
7. MEASUREMENT AND GEOMETRY.
Measurement. Excursion: Drawing with a Straightedge and a Compass. Basic Concepts of Euclidean Geometry. Excursion: Lines of Symmetry. Perimeter and Area of Plane Figures. Excursion: Tessellations. Properties of Triangles. Excursion: Topology: A Brief Introduction. Volume and Surface Area. Excursion: Water Displacement. Right Triangle Trigonometry. Excursion: Approximating the Value of a Trigonometric Ratio. Non-Euclidean Geometry. Excursion: Finding Geodesics. Fractals. Excursion: The Heighway Dragon Fractal.
Chapter 7 Summary.
Chapter 7 Review Exercises.
Chapter 7 Test.
8. MATHEMATICAL SYSTEMS.
Modular Arithmetic. Excursion: Computing the Day of the Week. Applications of Modular Arithmetic. Excursion: Public Key Cryptography. Introduction to Group Theory. Excursion: Wallpaper Groups.
Chapter 8 Summary.
Chapter 8 Review Exercises.
Chapter 8 Test.
9. APPLICATIONS OF FUNCTIONS.
Rectangular Coordinates and Functions. Excursion: Dilations of a Geometric Figure. Properties of Linear Functions. Excursion: Negative Velocity. Finding Linear Models. Excursion: A Linear Business Model. Systems of Linear Equations in Two Variables. Excursion: Rate-of-Wind and Rate-of-Current Problems. Quadratic Functions. Excursion: Reflective Properties of a Parabola. Exponential Functions. Excursion: Chess and Exponential Functions. Logarithmic Functions. Excursion: Benford's Law.
Chapter 9 Summary.
Chapter 9 Review Exercises.
Chapter 9 Test.
10. THE MATHEMATICS OF FINANCE.
Simple Interest. Excursion: Interest on a Car Loan. Compound Interest. Excursion: Consumer Price Index. Credit Cards and Consumer Loans. Excursion: Amortization Schedules. Stocks Bonds and Mutual Funds. Excursion: Treasury Bills. Home Ownership. Excursion: Federal Income Tax.
Chapter 10 Summary.
Chapter 10 Review Exercises.
Chapter 10 Test.
11. COMBINATORICS AND PROBABILITY.
The Counting Principle. Excursion: Decision Trees. Permutations and Combinations. Excursion: Choosing Numbers in Keno. Probability and Odds. Excursion: The Value of Pi by Simulation. Addition and Complement Rules. Excursion: Keno Revisited. Conditional Probability. Excursion: Sharing Birthdays. Expectation. Excursion: Chuck-a-luck.
Chapter 11 Summary.
Chapter 11 Review Exercises.
Chapter 11 Test.
12. STATISTICS.
Gathering, Organizing, and Displaying Data. Excursion: Stem-and-Leaf Diagrams. Measures of Central Tendency. Excursion: Linear Interpolation and Animation. Measures of Dispersion. Excursion: A Geometric View of Variance and Standard Deviation. Measures of Relative Position. Excursion: Quintiles. The Normal Distribution. Excursion: Confidence Intervals. Linear Regression and Correlation. Excursion: Exponential Regression.
Chapter 12 Summary.
Chapter 12 Review Exercises.
Chapter 12 Test.
Appendix APPLICATIONS OF EQUATIONS.
A.1 First-Degree Equations and Formulas.
A.2 Rate, Ratio, and Proportion.
A.3 Percent.
A.4 Second-Degree Equations.
Appendix Summary.
Appendix Review Exercises.
Appendix Test.

Digital Bundle: Mathematical Excursions, 4th WebAssign + VitalSource™ eBook (1-year access)

EPACK: K12AE MATHEMATICAL EXCU RSIONS WEBASSIGN + VS 1YR

1. PROBLEM SOLVING.
Inductive and Deductive Reasoning. Excursion: KenKen Puzzles: An Introduction. Problem Solving with Patterns. Excursion: Polygonal Numbers. Problem-Solving Strategies. Excursion: Routes on a Probability Demonstrator. Chapter 1 Summary. Chapter 1 Review. Chapter 1 Test.
2. SETS. 
Basic Properties of Sets. Excursion: Fuzzy Sets. Complements, Subsets, and Venn Diagrams. Excursion: Subsets and Complements of Fuzzy Sets. Set Operations. Excursion: Union and Intersection of Fuzzy Sets. Applications of Sets. Excursion: Voting Systems. Infinite Sets. Excursion: Transfinite Arithmetic. Chapter 2 Summary. Chapter 2 Review Exercises. Chapter 2 Test. 
3. LOGIC. 
Logic Statements and Quantifiers. Excursion: Switching Networks. Truth Tables, Equivalent Statements, and Tautologies. Excursion: Switching Networks-Part II. The Conditional and the Biconditional. Excursion: Logic Gates. The Conditional and Related Statements. Excursion: Sheffer's Stroke and the NAND Gate. Symbolic Arguments. Excursion: Fallacies. Arguments and Euler Diagrams. Excursion: Using Logic to Solve Cryptarithms. Chapter 3 Summary. Chapter 3 Review Exercises. Chapter 3 Test. 
4. APPORTIONMENT AND VOTING. 
Introduction to Apportionment. Excursion: Apportioning the 1790 House of Representatives. Introduction to Voting. Excursion: Variations of the Borda Count Method. Weighted Voting Systems. Excursion: Blocking Coalitions and the Banzhaf Power Index. Chapter 4 Summary. Chapter 4 Review Exercises. Chapter 4 Test. 
5. THE MATHEMATICS OF GRAPHS. 
Graphs and Euler Circuits. Excursion: Pen-Tracing Puzzles. Weighted Graphs. Excursion: Extending the Greedy Algorithm. Planarity and Euler's Formula. Excursion: The Five Regular Convex Polyhedra. Graph Coloring. Excursion: Modeling Traffic Lights with Graphs. Chapter 5 Summary. Chapter 5 Review Exercises. Chapter 5 Test. 
6. NUMERATION SYSTEMS AND NUMBER THEORY. 
Early Numeration Systems. Excursion: A Rosetta Tablet for the Traditional Chinese Numeration System. Place-Value Systems. Excursion: Subtraction via the Nines Complement and the End-Around Carry. Different Base Systems. Excursion: Information Retrieval via a Binary Search. Arithmetic in Different Bases. Excursion: Subtraction in Base Two via the Ones Complement and the End-Around Carry. Prime Numbers. Excursion: The Distribution of the Primes. Topics from Number Theory. Excursion: A Sum of the Divisors Formula. Chapter 6 Summary. Chapter 6 Review Exercises. Chapter 6 Test. 
7. MEASUREMENT AND GEOMETRY. 
Measurement. Excursion: Drawing with a Straightedge and a Compass. Basic Concepts of Euclidean Geometry. Excursion: Preparing a Circle Graph. Perimeter and Area of Plane Figures. Excursion: Perimeter and Area of a Rectangle with Changing Dimensions. Properties of Triangles. Excursion: Topology: A Brief Introduction. Volume and Surface Area. Excursion: Water Displacement. Right Triangle Trigonometry. Excursion: Approximating the Value of Trigonometric Ratios. Non-Euclidean Geometry. Excursion: Finding Geodesics. Fractals. Excursion: The Heighway Dragon Fractal. Chapter 7 Summary. Chapter 7 Review Exercises. Chapter 7 Test. 
8. MATHEMATICAL SYSTEMS. 
Modular Arithmetic. Excursion: Computing the Day of the Week. Applications of Modular Arithmetic. Excursion: Public Key Cryptography. Introduction to Group Theory. Excursion: Wallpaper Groups. Chapter 8 Summary. Chapter 8 Review Exercises. Chapter 8 Test. 
9. APPLICATIONS OF EQUATIONS. 
First-Degree Equations and Formulas. Excursion: Body Mass Index. Rate, Ratio, and Proportion. Excursion: Earned Run Average. Percent. Excursion: Federal Income Tax. Second-Degree Equations. Excursion: The Sum and Product of the Solutions of a Quadratic Equation. Chapter 9 Summary. Chapter 9 Review Exercises. Chapter 9 Test. 
10. APPLICATIONS OF FUNCTIONS. 
Rectangular Coordinates and Functions. Excursion: Dilations of a Geometric Figure. Properties of Linear Functions. Excursion: Negative Velocity. Finding Linear Models. Excursion: A Linear Business Model. Quadratic Functions. Excursion: Reflective Properties of a Parabola. Exponential Functions. Excursion: Chess and Exponential Functions. Logarithmic Functions. Excursion: Benford's Law. Chapter 10 Summary. Chapter 10 Review Exercises. Chapter 10 Test. 
11. THE MATHEMATICS OF FINANCE. 
Simple Interest. Excursion: Interest on a Car Loan. Compound Interest. Excursion: Consumer Price Index. Credit Cards and Consumer Loans. Excursion: Car Leases. Stocks, Bonds, and Mutual Funds. Excursion: Treasury Bills. Home Ownership. Excursion: Home Ownership Issues. Chapter 11 Summary. Chapter 11 Review Exercises. Chapter 11 Test. 
12. COMBINATORICS AND PROBABILITY. 
The Counting Principle. Excursion: Decision Trees. Permutations and Combinations. Excursion: Choosing Numbers in Keno. Probability and Odds. Excursion: The Value of Pi by Simulation. Addition and Complement Rules. Excursion: Keno Revisited. Conditional Probability. Excursion: Sharing Birthdays. Expectation. Excursion: Chuck-a-luck. Chapter 12 Summary. Chapter 12 Review Exercises. Chapter 12 Test. 
13. STATISTICS. 
Measures of Central Tendency. Excursion: Linear Interpolation and Animation. Measures of Dispersion. Excursion: Geometric View of Variance and Standard Deviation. Measures of Relative Position. Excursion: Stem-and-Leaf Diagrams. Normal Distribution. Excursion: Cut-Off Scores. Linear Regression and Correlation. Excursion: Exponential Regression. An Application of Linear Regression. Chapter 13 Summary. Chapter 13 Review Exercises. Chapter 13 Test.

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