by Ignacio Bello, Jack R. Britton and Anton Kaul

ISBN13: 978-0618775248

ISBN10: 0618775242

Cover type:

Edition/Copyright: 9TH 08

Publisher: Houghton Mifflin Harcourt

Published: 2008

International: No

ISBN10: 0618775242

Cover type:

Edition/Copyright: 9TH 08

Publisher: Houghton Mifflin Harcourt

Published: 2008

International: No

Topics in Contemporary Mathematics is uniquely designed to help students see math at work in the contemporary world by presenting problem solving in purposeful and meaningful contexts.

**1. Problem Solving**

1.1 Inductive reasoning

1.2 Estimation: A Problem Solving tool

1.3 Graph Interpretation: A Problem Solving Tool

**2. Sets**

2.1 Sets: A Problem-Solving Tool

2.2 Set Operations

2.3 Venn Diagrams

2.4 The Number of Elements in a Set: A Problem-Solving Tool

2.5 Infinite Sets

**3. Logic**

3.1 Statements

3.2 Truth Tables: A Problem-Solving Tool

3.3 The Conditional and the Biconditional

3.4 Variations of the Conditional and Implications

3.5 Euler Diagrams: A Problem-Solving Tool

3.6 Truth Tables and Validity Arguments

Online Only: 3.7 Switching Networks: A Problem-Solving Tool

**4. Numeration Systems**

4.1 Egyptian, Babylonian, and Roman Numeration Systems

4.2 The Hindu-Arabic (Decimal) System

4.3 Number Systems with Bases Other Than 10

4.4 Binary Arithmetic

4.5 Octal and Hexadecimal Arithmetic

**5. Number Theory and the Real Numbers**

5.1 Number Theory: Primes and Composites

5.2 Whole Numbers, Integers, and Order or Operations

5.3 The Rational Numbers

5.4 Decimals, Scientific Notation, and Significant Digits

5.5 Rationals as Decimals: Percents

5.6 Real Numbers, Square Roots, and Decimal Representation

5.7 Radicals

5.8 Number Sequences

**6. Equations, Inequalities, and Problem Solving**

6.1 Solutions of First-Degree Sentences

6.2 Graphs of Algebraic Sentences

6.3 Sentences Involving Absolute Values

6.4 Quadratic Equations

6.5 Modeling and Problem Solving

6.6 Ratio Proportion, and Variation

**7. Functions and Graphs**

7.1 Graphing Relations and Functions

7.2 Linear Functions, Relations, and Applications

7.3 Slopes and Equations of A Line

7.4 Quadratic Functions and Their Graphs

7.5 Exponential and Logarithmic Functions

7.6 Two Linear Equations in Two Variables

7.7 Linear Inequalities

Online Only: 7.8 Linear Programming

**8. Geometry**

8.1 Points, lines, planes, and angles

8.2 Triangles and Other Polygons

8.3 Perimeter and Circumfrence

8.4 Area Measure and the Pythagorean Theorem

8.5 Volume and Surface Area

Online Only: 8.6 Right Triangle Trigonometry

8.7 Networks, Non-Euclidean Geometry, and Topology

Online Only: 8.8 Chaos and Fractals

**9. Mathematical Systems and Matrices**

9.1 Matrix Operations

9.2 Solving of Linear Equations with Matrices

9.3 Clock and Modular Arithmetic

9.4 Abstract Mathematical Systems: Groups and Fields

9.4 Game Theory

**10. Counting Techniques**

10.1 The Sequential Counting Principle (SCP): A Problem-Solving Tool

10.2 Permutations

10.3 Combinations

10.4 Miscellaneous Counting Methods

**11. Probability**

11.1 Sample Spaces and Probability

11.2 Poker Improbabilities

11.3 Computation and Probability

11.4 Conditional Probability

11.5 Independent Events

11.6 Odds and Mathematical Expectation

**12. Statictics**

12.1 Sampling and Frequency Distribution

12.2 The Measures Central Tendency: The Mean, the Median, and the Mode

12.3 Measures of Depression: The Range and Standard Deviation

12.4 The Normal Dsitribution: A Problem Solving Tool

12.5 Statistical Graphics: A Problem-Solving Tool

12.6 Making Predictions: Linear Regression

12.7 Scattergrams and Correlation

**13. Your Money and Your Math**

13.1 Interest, Taxes, and Discounts

13.2 Credit Cards and Comsumer Credit

13.3 Annual Percentage Rate (APR) and the Rules of 78

13.4 Buying a House

13.5 Investing in Stocks, Bonds, and Mutual Funds

**Online Only: 14. Voting and Apportionment**

14.1 Voting Systems

14.2 Voting Objections

14.3 Apportionment Methods

14.4 Apportionment Objections

**Online Only: 15. Graph Theory**

15.1 Introduction to Graph Theory

15.2 Euler Paths and Euler Circuits

15.3 Hamilton Paths and Hamilton Circuits

15.4 Trees

Ignacio Bello, Jack R. Britton and Anton Kaul

ISBN13: 978-0618775248ISBN10: 0618775242

Cover type:

Edition/Copyright: 9TH 08

Publisher: Houghton Mifflin Harcourt

Published: 2008

International: No

Topics in Contemporary Mathematics is uniquely designed to help students see math at work in the contemporary world by presenting problem solving in purposeful and meaningful contexts.

Table of Contents

**1. Problem Solving**

1.1 Inductive reasoning

1.2 Estimation: A Problem Solving tool

1.3 Graph Interpretation: A Problem Solving Tool

**2. Sets**

2.1 Sets: A Problem-Solving Tool

2.2 Set Operations

2.3 Venn Diagrams

2.4 The Number of Elements in a Set: A Problem-Solving Tool

2.5 Infinite Sets

**3. Logic**

3.1 Statements

3.2 Truth Tables: A Problem-Solving Tool

3.3 The Conditional and the Biconditional

3.4 Variations of the Conditional and Implications

3.5 Euler Diagrams: A Problem-Solving Tool

3.6 Truth Tables and Validity Arguments

Online Only: 3.7 Switching Networks: A Problem-Solving Tool

**4. Numeration Systems**

4.1 Egyptian, Babylonian, and Roman Numeration Systems

4.2 The Hindu-Arabic (Decimal) System

4.3 Number Systems with Bases Other Than 10

4.4 Binary Arithmetic

4.5 Octal and Hexadecimal Arithmetic

**5. Number Theory and the Real Numbers**

5.1 Number Theory: Primes and Composites

5.2 Whole Numbers, Integers, and Order or Operations

5.3 The Rational Numbers

5.4 Decimals, Scientific Notation, and Significant Digits

5.5 Rationals as Decimals: Percents

5.6 Real Numbers, Square Roots, and Decimal Representation

5.7 Radicals

5.8 Number Sequences

**6. Equations, Inequalities, and Problem Solving**

6.1 Solutions of First-Degree Sentences

6.2 Graphs of Algebraic Sentences

6.3 Sentences Involving Absolute Values

6.4 Quadratic Equations

6.5 Modeling and Problem Solving

6.6 Ratio Proportion, and Variation

**7. Functions and Graphs**

7.1 Graphing Relations and Functions

7.2 Linear Functions, Relations, and Applications

7.3 Slopes and Equations of A Line

7.4 Quadratic Functions and Their Graphs

7.5 Exponential and Logarithmic Functions

7.6 Two Linear Equations in Two Variables

7.7 Linear Inequalities

Online Only: 7.8 Linear Programming

**8. Geometry**

8.1 Points, lines, planes, and angles

8.2 Triangles and Other Polygons

8.3 Perimeter and Circumfrence

8.4 Area Measure and the Pythagorean Theorem

8.5 Volume and Surface Area

Online Only: 8.6 Right Triangle Trigonometry

8.7 Networks, Non-Euclidean Geometry, and Topology

Online Only: 8.8 Chaos and Fractals

**9. Mathematical Systems and Matrices**

9.1 Matrix Operations

9.2 Solving of Linear Equations with Matrices

9.3 Clock and Modular Arithmetic

9.4 Abstract Mathematical Systems: Groups and Fields

9.4 Game Theory

**10. Counting Techniques**

10.1 The Sequential Counting Principle (SCP): A Problem-Solving Tool

10.2 Permutations

10.3 Combinations

10.4 Miscellaneous Counting Methods

**11. Probability**

11.1 Sample Spaces and Probability

11.2 Poker Improbabilities

11.3 Computation and Probability

11.4 Conditional Probability

11.5 Independent Events

11.6 Odds and Mathematical Expectation

**12. Statictics**

12.1 Sampling and Frequency Distribution

12.2 The Measures Central Tendency: The Mean, the Median, and the Mode

12.3 Measures of Depression: The Range and Standard Deviation

12.4 The Normal Dsitribution: A Problem Solving Tool

12.5 Statistical Graphics: A Problem-Solving Tool

12.6 Making Predictions: Linear Regression

12.7 Scattergrams and Correlation

**13. Your Money and Your Math**

13.1 Interest, Taxes, and Discounts

13.2 Credit Cards and Comsumer Credit

13.3 Annual Percentage Rate (APR) and the Rules of 78

13.4 Buying a House

13.5 Investing in Stocks, Bonds, and Mutual Funds

**Online Only: 14. Voting and Apportionment**

14.1 Voting Systems

14.2 Voting Objections

14.3 Apportionment Methods

14.4 Apportionment Objections

**Online Only: 15. Graph Theory**

15.1 Introduction to Graph Theory

15.2 Euler Paths and Euler Circuits

15.3 Hamilton Paths and Hamilton Circuits

15.4 Trees

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