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Category : Higher Education

Table of Contents

Preface

Supplements List

Acknowledgments

To the Student

About the Author

 

1. Numerical Pathways

1.1 Number Theory: Prime and Composite Numbers

1.2 The Integers; Order of Operations

1.3 The Rational Numbers

1.4 The Irrational Numbers

1.5 Real Numbers and Their Properties

1.6 Exponents and Scientific Notation

1.7 Arithmetic and Geometric Sequences

            Chapter Summary, Review, and Test

            Chapter 1 Test

 

2. Algebraic Pathways: Equations and Inequalities

2.1 Algebraic Expressions and Formulas

2.2 Linear Equations in One Variable

2.3 Applications of Linear Equations

2.4 Ratios, Rates and Proportions

2.5 Modeling Using Variation

2.6 Linear Inequalities in One Variable

            Chapter Summary, Review, and Test

            Chapter 2 Test

 

3. Algebraic Pathways: Graphs, Functions, Linear Functions, and Linear Systems

3.1 Graphing and Functions

3.2 Linear Functions and Their Graphs

3.3 The Point-Slope Form of the Equation of a Line; Scatter Plots and Regression Lines

3.4 Systems of Linear Equations in Two Variables

3.5 Linear Inequalities in Two Variables

            Chapter Summary, Review, and Test

            Chapter 3 Test

 

4. Algebraic Pathways: Polynomials, Quadratic Equations, and Quadratic Functions

4.1 Operations with Polynomials; Polynomial Functions

4.2 Factoring Polynomials

4.3 Solving Quadratic Equations by Factoring

4.4 Solving Quadratic Equations by the Square Root Property and the Quadratic Formula

4.5 Quadratic Functions and Their Graphs

            Chapter Summary, Review, and Test

            Chapter 4 Test

 

5. Geometric Pathways: Measurement

5.1 Measuring Length; The Metric System

5.2 Measuring Area and Volume

5.3 Measuring Weight and Temperature

            Chapter Summary, Review, and Test

            Chapter 5 Test

 

6. Geometric Pathways

6.1 Points, Lines, Planes, and Angles

6.2 Triangles

6.3 Polygons, Perimeter, and Tessellations

6.4 Area and Circumference

6.5 Volume

            Chapter Summary, Review, and Test

            Chapter 6 Test

 

7. Pathways to Probability: Counting Methods and Probability Theory

7.1 The Fundamental Counting Principle

7.2 Permutations

7.3 Combinations

7.4 Fundamentals of Probability

7.5 Probability with the Fundamental Counting Principle, Permutations, and Combinations

7.6 Events Involving Not and Or; Odds

7.7 Events Involving And; Conditional Probability

            Chapter Summary, Review, and Test

            Chapter 7 Test

 

8. Statistical Pathways

8.1 Sampling, Frequency Distributions, and Graphs

8.2 Measures of Central Tendency

8.3 Measures of Dispersion

8.4 The Normal Distribution

            Chapter Summary, Review, and Test

            Chapter 8 Test

 

Appendices

A. Basics of Percent

B. Applications of Percent

C. Bar, Line, and Circle Graphs

D. Sets, Venn Diagrams, and Set Operations

 

Answers to Selected Exercises

Subject Index

Index of Applications

Credits

Get Pathways to College Mathematics by Robert F. Blitzer, Miami Dade College

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