About the Book
The 5th edition of Beginning and Intermediate Algebra by Sherri Messersmith and Nathalie Vega-Rhodes represents the most evolved version of the P.O.W.E.R. series textbooks yet. To each chapter we have added a new Get Ready chapter opener that contains prerequisite/corequisite lessons, with exercises, to prepare students to learn the concepts coming up in the chapter. Also new to this edition are the two academic mindset topics of developing a growth mindset and developing grit. The power (no pun intended) of the Internet is that it allows us to enhance the learning and teaching experience for students and instructors. We can do things that we couldn’t dream of even 10 years ago! That’s where Nathalie Vega-Rhodes comes in. A long-time P.O.W.E.R. math textbook user and outstanding instructor, Nathalie has a lot of experience using digital tools. Better yet, she and Sherri have the same philosophy of teaching, love for students, and belief in addressing all of their students’ needs in the classroom.
What makes P.O.W.E.R. a unique tool for the classroom? A major challenge in developmental courses is that students at this level struggle with basic study skills and habits. Maybe this is one of their first college courses or perhaps they are adults returning to school after a long absence. Either way, many of the individuals taking this course don’t know how to be good students. Instructors often don’t have the time, the resources or the expertise to teach success skills AND the math concepts. The P.O.W.E.R. Learning Framework was developed by successful author, psychologist, student success instructor and researcher, Bob Feldman. It is a method of accomplishing any task using five simple and consistent steps. Prepare. Organize. Work. Evaluate. Rethink. The P.O.W.E.R. framework that Math instructors have come to know and love is at the core of each section and new study strategies and exercises have been integrated with every chapter better help students successfully learn math concepts while at the same time developing habits that will serve them well throughout their college careers and in their daily lives. The conversational writing style, practical applications, innovative student resources and expanded available in ALEKS makes this an appealing and very teachable option for faculty.
Table of Contents:
Beginning & Intermediate Algebra with POWER Learning
Chapter 1 The Real Number System and Geometry
1.1 Review of Fractions
1.2 Exponents and Order of Operations
1.3 Geometry Review
1.4 Sets of Numbers and Absolute Value
1.5 Addition and Subtraction of Real Numbers
1.6 Multiplication and Division of Real Numbers
1.7 Algebraic Expressions and Properties of Real Numbers
Chapter 2 Rules of Exponents
2.1A Basic Rules of Exponents: The Product Rule and Power Rules
2.1B Basic Rules of Exponents: Combining the Rules
2.2A Integer Exponents: Real-Number Bases
2.2B Integer Exponents: Variable Bases
2.3 The Quotient Rule
2.4 Scientific Notation
Chapter 3 Linear Equations and Inequalities in One Variable
3.1 Solving Linear Equations Part I
3.2 Solving Linear Equations Part II
3.3 Applications of Linear Equations
3.4 Applications Involving Percents
3.5 Geometry Applications and Solving Formulas
3.6 Applications of Linear Equations to Proportions, Money Problems, and d=rt
3.7 Linear Inequalities in One Variable
3.8 Compound Inequalities in One Variable
Chapter 4 Linear Equations in Two Variables and Functions
4.1 Introduction to Linear Equations in Two Variables
4.2 Graphing by Plotting Points and Finding Intercepts
4.3 The Slope of a Line
4.4 The Slope-Intercept Form of a Line
4.5 Writing an Equation of a Line
4.6 Introduction to Functions
Chapter 5 Solving Systems of Linear Equations
5.1 Solving Systems by Graphing
5.2 Solving Systems by the Substitution Method
5.3 Solving Systems by the Elimination Method
5.4 Applications of Systems of Two Equations
5.5 Solving Systems of Three Equations and Applications
5.6 Solving Systems of Linear Equations Using Matrices
Chapter 6 Polynomials
6.1 Review of the Rules of Exponents
6.2 Addition and Subtraction of Polynomials
6.3 Multiplication of Polynomials
6.4 Division of Polynomials
Chapter 7 Factoring Polynomials
7.1 The Greatest Common Factor and Factoring by Grouping
7.2 Factoring Trinomials of the Form x2+bx+c
7.3 Factoring Trinomials of the Form ax2+bx+c (a≠1)
7.4 Factoring Special Trinomials and Binomials
7.5 Solving Quadratic Equations by Factoring
7.6 Applications of Quadratic Equations
Chapter 8 Rational Expressions
8.1 Rational Expressions and Functions
8.2 Multiplying and Dividing Rational Expressions
8.3 Finding the Least Common Denominator
8.4 Adding and Subtracting Rational Expressions
8.5 Simplifying Complex Fractions
8.6 Solving Rational Equations
8.7 Applications of Rational Equations
8.8 Variation
Chapter 9 More Equations and Inequalities
9.1 Absolute Value Equations
9.2 Absolute Value Inequalities
9.3 Linear and Compound Linear Inequalities in Two Variables
Chapter 10 Radicals and Rational Exponents
10.1 Finding Roots
10.2 Rational Exponents
10.3 Simplifying Expressions Containing Square Roots
10.4 Simplifying Expressions Containing Higher Roots
10.5 Adding, Subtracting, and Multiplying Radicals
10.6 Dividing Radicals
10.7 Solving Radical Equations
10.8 Complex Numbers
Chapter 11 Quadratic Equations
11.1 Review of Solving Equations by Factoring
11.2 The Square Root Property and Completing the Square
11.3 The Quadratic Formula
11.4 Equations in Quadratic Form
11.5 Formulas and Applications
Chapter 12 Functions and Their Graphs
12.1 Relations and Functions
12.2 Graphs of Functions and Transformations
12.3 Quadratic Functions and Their Graphs
12.4 Applications of Quadratic Functions and Graphing Other Parabolas
12.5 Quadratic and Rational Inequalities
12.6 The Algebra of Functions
Chapter 13 Exponential and Logarithmic Functions
13.1 Inverse Functions
13.2 Exponential Functions
13.3 Logarithmic Functions
13.4 Properties of Logarithms
13.5 Common and Natural Logarithms and Change of Base
13.6 Solving Exponential and Logarithmic Equations
Chapter 14 Conic Sections, Nonlinear Systems, and Nonlinear Inequalities
14.1 The Circle
14.2 The Ellipse and the Hyperbola
14.3 Nonlinear Systems of Equations
14.4 Second-Degree Inequalities and Systems of Inequalities
Chapter 15 Sequences and Series (online only)
15.1 Sequences and Series
15.2 Arithmetic Sequences and Series
15.3 Geometric Sequences and Series
15.4 The Binomial Theorem
Appendix A Prealgebra Topics (online only)
Appendix B Beginning Algebra Review (online only)
Appendix C Additional Topics (online only)
About the Author :
Sherri Messersmith has been teaching at College of DuPage in Glen Ellyn, Illinois, since 1994. She has over 25 years of experience teaching many different courses from developmental mathematics through calculus. She earned a bachelor of science degree in the teaching of mathematics at the University of Illinois at Urbana-Champaign and went on to teach at the high level for two years. Sherri returned to UIUC and earned a master of science in applied mathematics and stayed on at the university to teach and coordinate large sections of undergraduate math courses. Sherri has authored several textbook, and she has also appeared in videos accompanying several McGraw-Hill texts. Sherri lives outside of Chicago with her husband, Phil, and their daughters, Alex and Cailen. In her precious free time, she likes to read, play the guitar, and travel -- the manuscripts for this and her previous books have accompanied her from Spain to Greece and many points in between.
Nathalie Vega-Rhodes career in higher education began seventeen years ago and has encompassed a number of student-focused positions. For nearly a decade, she has taught mathematics ranging from developmental courses to calculus, as well as student success courses. She holds a Bachelor of Arts in Mathematics from the University of Houston and a Master of Science in Mathematics from the University of HoustonClear Lake. In addition to teaching, as Mathematics Technology Coordinator at Lone Star CollegeKingwood, she assists math faculty with technology-related pedagogical and implementation strategies. Her earliest work in higher education focused on academic support, first as a tutor and supplemental instruction (SI) leader, and then as a coordinator for a math tutoring and SI program. In her free time, Nathalie enjoys scuba diving and traveling with her husband, hanging out with her dog, and reading.
Bob Feldman still remembers those moments of being overwhelmed when he started college at Wesleyan University. I wondered whether I was up to the challenges that faced me, he recalls, andalthough I never would have admitted it at the timeI really had no idea what it took to be successful at college.
That experience, along with his encounters with many students during his own teaching career, led to a life-long interest in helping students navigate the critical transition that they face at the start of their own college careers. Professor Feldman, who went on to receive a doctorate in psychology from the University of WisconsinMadison, is now Deputy Chancellor and Professor of Psychological and Brain Sciences at the University of Massachusetts Amherst. He is founding director of POWER Up for Student Success, the first-year experience course for incoming students.
Professor Feldmans proudest professional accomplishment is winning the College Outstanding Teaching Award at UMass. He also has been named a Hewlett Teaching Fellow and was Senior Online Instruction Fellow. He has taught courses at Mount Holyoke College, Wesleyan University, and Virginia Commonwealth University. Professor Feldman is a Fellow of the American Psychological Association, the Association for Psychological Science, and the American Association for the Advancement of Science. He is a winner of a Fulbright Senior Research Scholar and Lecturer award and has written over 200 scientific articles, book chapters, and books. His books, some of which have been translated into Spanish, French, Portuguese, Dutch, Japanese, and Chinese, include Improving the First Year of College: Research and Practice; Understanding Psychology, 12/e; and Development Across the Life Span, 7/e. His research interests encompass the study of honesty and truthfulness in everyday life, development of nonverbal behavior in children, and the social psychology of education. His research has been supported by grants from the National Institute of Mental Health and the National Institute on Disabilities and Rehabilitation Research.
With the last of his three children completing college, Professor Feldman occupies his spare time with pretty decent cooking and earnest, but admittedly unpolished, piano playing. He also loves to travel. He lives with his wife, who is an educational psychologist, in a home overlooking the Holyoke mountain range in western Massachusetts.
