9780134107165

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Bob Blitzer’s distinctive and relatable voice motivates students of diverse backgrounds and majors, engaging them in the math through compelling, real-world applications. Pathways to College Mathematics provides a general survey of topics to prepare students for liberal arts math, quantitative reasoning, or introductory statistics. This course offers an alternate path through developmental math, giving students who are going on to a non-STEM college-level course a one-semester alternative to the traditional two-semester algebra course. With a prerequisite of basic math or prealgebra, it’s intended to accelerate non-STEM students through their developmental sequence, but can also prepare students for intermediate algebra if they intend to follow a STEM pathway.

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Bob Blitzer is a native of Manhattan and received a Bachelor of Arts degree with dual majors in mathematics and psychology (minor: English literature) from the City College of New York. His unusual combination of academic interests led him toward a Master of Arts in mathematics from the University of Miami and a doctorate in behavioral sciences from Nova University. Bob is most energized by teaching mathematics and has taught a variety of mathematics courses at Miami-Dade College for nearly 30 years. He has received numerous teaching awards, including Innovator of the Year from the League for Innovations in the Community College, and was among the first group of recipients at Miami-Dade College for an endowed chair based on excellence in the classroom. Bob has written Intermediate Algebra for College Students, Introductory Algebra for College Students, Essentials of Intermediate Algebra for College Students, Introductory and Intermediate Algebra for College Students, Essentials of Introductory and Intermediate Algebra for College Students, Algebra for College Students, Thinking Mathematically, College Algebra, Algebra and Trigonometry, Precalculus, and Trigonometry all published by Pearson.

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

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Pathways to College Mathematics

Pathways to College Mathematics

0134107160

Summary

Author Biography

Table of Contents

Supplemental Materials