Pathways to College Mathematics, 2nd edition

Robert F. Blitzer

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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. 

ISBN-13: 9780136880585

Subject: Developmental Math

Category: Pathways (Non-STEM & STEM)

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