"After having written five developmental algebra textbooks, I decided to team up with Larry Perez from Saddleback College in California to write a paperback series beginning with Basic College Math or arithmetic. We know, first-hand, that teaching developmental mathematics is about so much more than the math. Today, many of our students are also in developmental reading and/or writing courses, so they don't read well. Many students are poor note-takers, do not know how to read/use a textbook, have poor study skills, and have never learned time-management skills. Instructors know that a major reason for high failure rates in developmental math courses is due to the fact that many of our students do not know how to be college students. They don't want to fail, they just don't know how to succeed! Larry and I have adapted what we do in the classroom to try to address the non-math needs of our students. But, we wondered, how can we do this in a textbook? Enter P.O.W.E.R.. P.O.W.E.R. is a five-step process to promote learning and critical thinking. Each step in the process--Prepare, Organize, Work, Evaluate, and Rethink--provides students with a proven framework that will help them achieve academic success. P.O.W.E.R. maximizes the success of students by using a research-based "best practices" approach. It is a scientifically-based framework promoting student success, with each step in the process based on empirical research findings related to students' academic performance in a college environment"--
Contents
Chapter 1: Real Numbers
Section 1.1 Set of Numbers
Section 1.2 Operations on Real Numbers
Section 1.3 Order of Operations
Section 1.4 Algebraic Expressions and Properties of Real Numbers
Chapter Summary
Chapter Review
Chapter Test
Chapter 2: Linear Equations in One Variable
Section 2.1 Linear Equations in One Variable
Section 2.2 Formulas and Percent
Section 2.3 Applications of Linear Equations
Section 2.4 Applications Involving Percents
Section 2.5 More Applications of Linear Equations
Chapter Summary
Chapter Review
Chapter TestCumulative
Review for Chapters 1 and 2
Chapter 3: Linear Inequalities and Absolute Value
Section 3.1 Linear Inequalities in One Variable
Section 3.2 Compound Inequalities in One Variable
Section 3.3 Absolute Value Equations and Inequalities
Chapter SummaryChapter Review
Chapter TestCumulative
Review for Chapters 1 – 3
Chapter 4: Linear Equations in Two Variables
Section 4.1 Introduction to Linear Equations in Two Variables
Section 4.2 Slope of a Line and Slope-Intercept Form
Section 4.3 Writing an Equation of a Line
Section 4.4 Linear and Compound Linear Inequalities in Two Variables
Section 4.5 Introduction to Functions
Chapter SummaryChapter Review
Chapter TestCumulative
Review for Chapters 1 – 4
Chapter 5: Solving Systems of Linear Equations
Section 5.1 Solving Systems of Linear Equations in Two Variables
Section 5.2 Solving Systems of Linear Equations in Three Variables
Section 5.3 Application of Systems of Linear Equations
Section 5.4 Solving Systems of Linear Equations Using Matrices
Chapter Summary
Chapter Review
Chapter Test
Cumulative Review for Chapters 1 – 5
Chapter 6: Polynomials and Polynomial Functions
Section 6.1 The Rules of Exponents
Section 6.2 More on Exponents and Scientific Notation
Section 6.3 Addition and Subtraction of Polynomials and Polynomial Functions
Section 6.4 Multiplication of Polynomials and Polynomial Functions
Section 6.5 Division of Polynomials and Polynomial Functions
Chapter SummaryChapter Review
Chapter Test
Cumulative Review for Chapters 1 – 6
Chapter 7: Factoring Polynomials
Section 7.1 The Greatest Common Factor and Factoring by Grouping
Section 7.2 Factoring Trinomials
Section 7.3 Special Factoring TechniquesPutting It All Together
Section 7.4 Solving Quadratic Equations by Factoring and Applications
Chapter Summary
Chapter Review
Chapter Test
Cumulative Review for Chapters 1 – 7
Chapter 8: Rational Expressions, Equations, and Functions
Section 8.1 Simplifying, Multiplying, and Dividing Rational Expressions and Functions
Section 8.2 Adding and Subtracting Rational Expressions
Section 8.3 Simplifying Complex Fractions
Section 8.4 Solving Rational EquationsPutting It All Together
Section 8.5 Application of Rational Equations
Section 8.6 VariationChapter SummaryChapter Review
Chapter Test
Cumulative Review for Chapters 1 – 8
Chapter 9: Radicals and Rational Exponents
Section 9.1 Radical Expressions and Functions
Section 9.2 Rational Exponents
Section 9.3 Simplifying Expressions Containing Square Roots
Section 9.4 Simplifying Expressions Containing Higher Roots
Section 9.5 Adding, Subtracting, and Multiplying Radicals
Section 9.6 Dividing RadicalsPutting It All Together
Section 9.7 Solving Radical Equations
Section 9.8 Complex Numbers
Chapter Summary
Chapter Review
Chapter TestCumulative Review for Chapters 1 – 9
Chapter 10: Quadratic Equations and Functions
Section 10.1 The Square Root Property and Completing the Square
Section 10.2 The Quadratic FormulaPutting It All TogetherSection 10.3 Equations in Quadratic Form
Section 10.4 Formulas and Applications
Section 10.5 Quadratic Functions and their Graphs
Section 10.6 Application of Quadratic Functions and Graphing Other Parabolas
Section 10.7 Quadratic and Rational Inequalities
Chapter Summary
Chapter ReviewChapter Test
Cumulative Review for Chapters 1 – 10
Chapter 11: Exponential and Logarithmic Functions
Section 11.1 Inverse Functions
Section 11.2 Exponential Functions
Section 11.3 Logarithmic Functions
Section 11.4 Properties of Logarithms
Section 11.5 Common and Natural Logarithms and Change of Base
Section 11.6 Solving Exponential and Logarithmic Equations
Chapter Summary
Chapter ReviewChapter Test
Cumulative Review for Chapters 1 – 11
Chapter 12: Nonlinear Functions, Conic Sections, and Nonlinear Systems
Section 12.1 Graphs of Other Useful Functions
Section 12.2 The Circle
Section 12.3 The Ellipse
Section 12.4 The HyperbolaPutting It All Together
Section 12.5 Nonlinear Systems of Equations
Sections 12.6 Second-Degree Inequalities and System of Inequalities
Chapter Summary
Chapter Review
Chapter TestCumulative Review for Chapters 1 – 12
Appendix
Section A Review of Fractions
Section B Geometry Review
Section C Synthetic Division and the Remainder Theorem
Section D Determinants and Cramer’s Rule
