Synopses & Reviews
Intermediate Algebra, 1e, authored by Sherri Messersmith presents content in bite-size pieces, focusing not only on learning mathematical concepts, but also explaining the why behind those concepts. For students, learning mathematics is not just about the memorization of concepts and formulas, but it is also about the journey of learning how to problem solve. By breaking the sections down into manageable chunks, the author has identified the core places where students traditionally struggle, and then assists them in understanding that material to be successful moving forward. Proven pedagogical features, such as You Try problems after each example, reinforce a students mastery of a concept. While teaching in the classroom, Messersmith has created worksheets for each section that fall into three categories: review worksheets/basic skills, worksheets to teach new content, and worksheets to reinforce/pull together different concepts. These worksheets are a great way to both enhance instruction and to give the students more tools to be successful in studying a given topic. The author is also an extremely popular lecturer, and finds it important to be in the video series that accompany her texts. Finally, the author finds it important to not only provide quality, but also an abundant quantity of exercises and applications. The book is accompanied by numerous useful supplements, including McGraw-Hills online homework management system, MathZone as well as ALEKS.
MESSERSMITH is rigorous enough to prepare students for the next level yet easy to read and understand. The exposition is written as if a professor is teaching in a lecture to be more accessible to students. The language is mathematically sound yet easy enough for students to understand.
Synopsis
Building a Better Path To Success!
Connecting Knowledge – Sherri prepares her students for success by refreshing their knowledge of arithmetic. By helping students see the connection between arithmetic and algebra, Sherri found that her students were more confident in their abilities as they progressed through the course. This classroom tested practice was integrated into the texts so that both instructors and students could benefit. Messersmith accomplishes this by including arithmetic examples for most sections before the use of algebraic examples. Also, the author has developed through classroom use a series of Basic Skills Worksheets that can easily be integrated into the classroom.
Presenting Concepts in “Bite Size” Pieces – By breaking down the sections into manageable pieces, the author has identified the core places where students traditionally struggle and then assists them in understanding that material to be successful moving forward.
Mastering Concepts - With the textbook and Connect Mathematics hosted by ALEKS, a new online homework and assessment tool, students can practice and master their understanding of algebraic concepts.
Messersmith is rigorous enough to prepare students for the next level yet easy to read and understand. The exposition is written as if a professor is teaching in a lecture to be more accessible to students. The language is mathematically sound yet easy enough for students to understand.
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.
Table of Contents
Chapter 1: Real Numbers and Basic Geometry Concepts
1.1 Sets of Numbers
1.2 Operations on Real Numbers
1.3 Algebraic Expressions and Properties of Real Numbers
Chapter 2: Linear Equations and Inequalities in One Variable
2.1 Solving Linear Equations in One Variable
2.2 Applications of Linear Equations
2.3 Geometry Applications and Solving Formulas
2.4 More Applications of Linear Equations
2.5 Linear Inequalities in One Variable
2.6 Compound Inequalities in One Variable
2.7 Absolute Value Equations and Inequalities
Chapter 3: Linear Equations in Two Variables and Functions
3.1 Introduction to Linear Equations in Two Variables
3.2 Slope of a Line and Slope-Intercept Form
3.3 Writing an Equation of a Line
3.4 Linear and Compound Linear Inequalities in Two Variables
3.5 Introduction to Functions
Chapter 4: Solving Systems of Linear Equations
4.1 Solving Systems of Linear Equations in Two Variables
4.2 Solving Systems of Linear Equations in Three Variables
4.3 Applications of Systems of Linear Equations
4.4 Solving Systems of Linear Equations Using Matrices
Chapter 5: Polynomials and Polynomial Functions
5.1 The Rules of Exponents
5.2 More on Exponents and Scientific Notation
5.3 Addition and Subtraction of Polynomials and Polynomial Functions
5.4 Multiplication of Polynomials and Polynomial Functions
5.5 Division of Polynomials and Polynomial Functions
Chapter 6: Factoring Polynomials
6.1 The Greatest Common Factor and Factoring by Grouping
6.2 Factoring Trinomials
6.3 Special Factoring Techniques
Putting It All Together
6.4 Solving Quadratic Equations by Factoring
6.5 Applications of Quadratic Equations
Chapter 7: Rational Expressions, Equations, and Functions
7.1 Simplifying, Multiplying, and Dividing Rational Expressions and Functions
7.2 Adding and Subtracting Rational Expressions
7.3 Simplifying Complex Fractions
7.4 Solving Rational Equations
Putting It All Together
7.5 Applications of Rational Equations
7.6 Variation
Chapter 8: Radicals and Rational Exponents
8.1 Radical Expressions and Functions
8.2 Rational Exponents
8.3 Simplifying Expressions Containing Square Roots
8.4 Simplifying Expressions Containing Higher Roots
8.5 Adding, Subtracting, and Multiplying Radicals
8.6 Dividing Radicals
Putting It All Together
8.7 Solving Radical Equations
8.8 Complex Numbers
Chapter 9: Quadratic Equations and Functions
9.1 The Square Root Property and Completing the Square
9.2 The Quadratic Formula
Putting It All Together
9.3 Equations in Quadratic Form
9.4 Formulas and Applications
9.5 Quadratic Functions and Their Graphs
9.6 Applications of Quadratic Functions and Graphing Other Parabolas
9.7 Quadratic and Rational Inequalities
Chapter 10: Exponential, and Logarithmic Functions
10.1 Composite and Inverse Functions
10.2 Exponential Functions
10.3 Logarithmic Functions
10.4 Properties of Logarithms
10.5 Common and Natural Logarithms and Change of Base
10.6 Solving Exponential and Logarithmic Equation
Chapter 11: Nonlinear Functions, Conic Sections, and Nonlinear Systems
11.1 Graphs of Other Useful Functions
11.2 The Distance Formula, Midpoint, and Circle
11.3 The Ellipse
11.4 The Hyperbola
Putting It All Together
11.5 Nonlinear Systems of Equations
11.6 Second-Degree Inequalities and Systems of Inequalities
Chapter 12: Sequences and Series (Online Only)
12.1 Sequences and Series
12.2 Arithmetic Sequences and Series
12.3 Geometric Sequences and Series
12.4 The Binomial Theorem
A Appendix
A.1 Geometry Review
A.2 Determinants and Cramers Rule
A.3 Graphing Polynomial Functions
A.4 Synthetic Division and the Remainder Theorem