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Pathways to College Mathematics, 2nd edition

Published by Pearson (July 15, 2020) © 2020

  • Robert F. Blitzer Miami Dade College
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Pathways to College Mathematics, 2nd Edition is a general survey of topics that prepares you for a variety of college math courses (primarily liberal arts mathematics, quantitative reasoning, statistics, finite mathematics, and mathematics for education majors). The content does go deep enough to prepare students for Intermediate Algebra or College Algebra, if needed. In a relatable and distinctive voice, author Bob Blitzer motivates students of many backgrounds and majors by engaging through compelling, real-world applications of the math. Abundant learning tools are fueled by Blitzer's unique background (degrees both in psychology and in mathematics, plus 30 years of teaching at Miami Dade College), giving you what you'll need to succeed in this course. It's the perfect text for a 1-semester, non-STEM-path focused alternative to the traditional 2-semester, Intro & Intermediate developmental algebra sequence, taken before a course like Liberal Arts Math, Statistics, or Intermediate Algebra. 

P. Prealgebra Pathways

  • P.1 Whole Numbers
  • P.2 Fractions and Mixed Numbers
  • P.3 Simplifying Fractions; Operations with Fractions
  • P.4 Decimals
  • Mid-Chapter Check Point
  • P.5 Operations with Decimals
  • P.6 Fractions and Decimals
  • P.7 Percents, Decimals, and Fractions
  • Chapter P Summary
  • Review Exercises
  • Chapter P Test

1. Numerical Pathways

  • 1.1 Sets, Venn Diagrams, and Set Operations
  • 1.2 The Integers; Order of Operations
  • 1.3 The Rational Numbers
  • 1.4 The Irrational Numbers
  • Mid-Chapter Check Point
  • 1.5 Real Numbers and their Properties
  • 1.6 Exponents and Scientific Notation
  • 1.7 Arithmetic and Geometric Sequences
  • Chapter 1 Summary
  • Review Exercises
  • Chapter 1 Test

2. Algebraic Pathways: Equations and Inequalities

  • 2.1 Algebraic Expression and Formulas
  • 2.2 Linear Equations in One Variable
  • 2.3 Applications of Linear Equalities
  • Mid-Chapter Check Point
  • 2.4 Ratios, Rates, and Proportions
  • 2.5 Modeling Using Variation
  • 2.6 Linear Equalities in One Variable
  • Chapter 2 Summary
  • Review Exercises
  • 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
  • Mid-Chapter Check Point
  • 3.4 Systems of Linear Equations in Two Variables
  • 3.5 Linear Equalities in Two Variables
  • Chapter 3 Summary
  • Review Exercises
  • Chapter 3 Test

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

  • 4.1 Operations with Polynomials; Polynomial Functions
  • 4.2 Factoring Polynomials
  • Mid-Chapter Check Point
  • 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 4 Summary
  • Review Exercises
  • Chapter 4 Test

5. Geometric Pathways: Measurement

  • 5.1 Measuring Length; The Metric System
  • 5.2 Measuring Area and Volume
  • Mid-Chapter Check Point
  • 5.3 Measuring Weight and Temperature
  • Chapter 5 Summary
  • Review Exercises
  • Chapter 5 Test

6. Geometric Pathways

  • 6.1 Points, Lines, Planes, and Angles
  • 6.2 Triangles
  • 6.3 Polygons, Perimeter, and Tessellations
  • Mid-Chapter Check Point
  • 6.4 Area and Circumference
  • 6.5 Volume
  • 6.6 A STEM Application: Right Triangle Trigonometry
  • Chapter 6 Summary
  • Review Exercises
  • 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
  • Mid-Chapter Check Point
  • 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 7 Summary
  • Review Exercises
  • Chapter 7 Test

8. Statistical Pathways

  • 8.1 Sampling, Frequency Distributions, and Graphs
  • 8.2 Measures of Central Tendency
  • Mid-Chapter Check Point
  • 8.3 Measures of Dispersion
  • 8.4 The Normal Distribution
  • Chapter 8 Summary
  • Review Exercises
  • Chapter 8 Test

Answers to Selected Exercises

Subject Index

Index of Applications

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