College Algebra with Corequisite Support, 5th edition

Published by Pearson (January 2, 2019) © 2020

  • Judith A. Beecher Indiana University Purdue University Indianapolis
  • Judith A. Penna Indiana University Purdue University Indianapolis
  • Marvin L. Bittinger Indiana University Purdue University Indianapolis

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For courses in College Algebra.

Prepare. Visualize. Succeed.

College Algebra, 5th Edition helps students “see the math” through a focus on visualization and early introduction to functions, which allows for the use of graphs to provide a visual aspect to solving equations and inequalities. In addition, specific features enable students to visualize and make connections between concepts. The author team has expanded and enhanced the instruction on review topics needed for today's corequisite courses, or simply for students who come to the course underprepared; ongoing review features throughout reinforce the concepts and help students build understanding.

Hallmark features of this title

  • Functions are introduced in Chapter 1, starting the course with a new topic rather than a review of equation-solving covered in previous math courses.
    • Students learn the concept of a function by repeated exposure to the language, notation and use of functions throughout.
  • Classify the Function exercises in the Skill Maintenance section of the exercise sets ask students to identify a number of functions by their type (linear, quadratic, rational, etc.)
    • Throughout, the variety of functions increases and these exercises become more challenging.
  • Technology Connections are optional sections that guide students in the use of the graphing calculator as another way to check problems.
  • Zeros, solutions, and x-intercepts are a theme of the text. 

New and updated features of this title

  • Just-In-Time Review: Review of prerequisite algebra topics is now presented when students need it most.
    • A set of 25 numbered short review topics creates an efficient review of intermediate algebra topics.
    • This feature is placed at the back of the text. Just-In-Time icons are positioned throughout the text next to the example where review of an intermediate algebra topic would be helpful.
  • Data-Informed Exercises: The authors revised exercises for the 5th Edition by analyzing usage data to improve the quality and quantity of exercises that matter the most to instructors and students. For example, the authors adjusted sample homework assignments to ensure usage of the most widely used exercises.
  • Symmetry and Transformations: These topics are now presented in two sections rather than one due to reviewer feedback. Separating these concepts into two reasonable amounts of information allows for deeper student understanding.

Highlights of the DIGITAL UPDATE for MyLab Math

Instructors, contact your sales rep to ensure you have the most recent version of the course.  

  • To promote review, the Just-in-Time chapter now precedes Chapter 1 in the eText.
  • The Corequisite Resource Notebook corresponds with the integrated review content. The notebook reviews key prerequisite topics, previews upcoming course level material, and provides a variety of classroom activities to solidify mathematical ideas.

Features of MyLab Math for the 5th Edition

  • Integrated Review is incorporated into the College Algebra MyLab course, with carefully selected prerequisite topics and a new video series.
  • Set Up and Solve exercises ask students to first describe how they will set up and approach the problem. Skill Builder offers adaptive practice that is designed to increase students' ability to complete their assignments.
  • Guided Visualizations are interactive figures that help students visualize the concepts through directed explorations and purposeful manipulation.
  • Mindset videos and assignable, open-ended exercises are available to foster your students' growth mindset. College Algebra Essentials Video Series covers the essential topics an algebra & trigonometry student needs to understand to be successful in this course.
  1. Graphs, Functions, and Models
    • 1.1 Introduction to Graphing
    • 1.2 Functions and Graphs
    • 1.3 Linear Functions, Slope, and Applications
    • 1.4 Equations of Lines and Modeling
    • 1.5 Linear Equations, Functions, Zeros, and Applications
    • 1.6 Solving Linear Inequalities
  2. More on Functions
    • 2.1 Increasing, Decreasing, and Piecewise Functions; Applications
    • 2.2 The Algebra of Functions
    • 2.3 The Composition of Functions
    • 2.4 Symmetry
    • 2.5 Transformations
    • 2.6 Variation and Applications
  3. Quadratic Functions and Equations; Inequalities
    • 3.1 The Complex Numbers
    • 3.2 Quadratic Equations, Functions, Zeros, and Models
    • 3.3 Analyzing Graphs of Quadratic Functions
    • 3.4 Solving Rational Equations and Radical Equations
    • 3.5 Solving Equations and Inequalities with Absolute Value
  4. Polynomial Functions and Rational Functions
    • 4.1 Polynomial Functions and Models
    • 4.2 Graphing Polynomial Functions
    • 4.3 Polynomial Division; The Remainder Theorem and the Factor Theorem
    • 4.4 Theorems about Zeros of Polynomial Functions
    • 4.5 Rational Functions
    • 4.6 Polynomial Inequalities and Rational Inequalities
  5. Exponential Functions and Logarithmic Functions
    • 5.1 Inverse Functions
    • 5.2 Exponential Functions and Graphs
    • 5.3 Logarithmic Functions and Graphs
    • 5.4 Properties of Logarithmic Functions
    • 5.5 Solving Exponential Equations and Logarithmic Equations
    • 5.6 Applications and Models: Growth and Decay; Compound Interest
  6. Systems of Equations and Matrices
    • 6.1 Systems of Equations in Two Variables
    • 6.2 Systems of Equations in Three Variables
    • 6.3 Matrices and Systems of Equations
    • 6.4 Matrix Operations
    • 6.5 Inverses of Matrices
    • 6.6 Determinants and Cramer's Rule
    • 6.7 Systems of Inequalities and Linear Programming
    • 6.8 Partial Fractions
  7. Conic Sections
    • 7.1 The Parabola
    • 7.2 The Circle and the Ellipse
    • 7.3 The Hyperbola
    • 7.4 Nonlinear Systems of Equations and Inequalities
  8. Sequences, Series, and Combinatorics
    • 8.1 Sequences and Series
    • 8.2 Arithmetic Sequences and Series
    • 8.3 Geometric Sequences and Series
    • 8.4 Mathematical Induction
    • 8.5 Combinatorics: Permutations
    • 8.6 Combinatorics: Combinations
    • 8.7 The Binomial Theorem
    • 8.8 Probability

About our authors

Judy Beecher has an undergraduate degree in mathematics from Indiana University and a graduate degree in mathematics from Purdue University. She has taught at both the high school and college levels with many years of developmental math and precalculus teaching experience at Indiana University - Purdue University Indianapolis (IUPUI). In addition to her career in textbook publishing, she enjoys traveling, spending time with her grandchildren and promoting charity projects for a children's camp.

Judy Penna received her undergraduate degree in mathematics from Kansas State University and her graduate degree in mathematics from the University of Illinois. Since then, she has taught at Indiana University - Purdue University Indianapolis (IUPUI) and at Butler University, and continues to focus on writing quality textbooks for undergraduate mathematics students. In her free time she likes to travel, read, knit and spend time with her children.

Marvin Bittinger has been teaching math at the university level for more than 38 years. Since 1968, he has been employed at Indiana University - Purdue University Indianapolis (IUPUI) and is now professor emeritus of mathematics education. Professor Bittinger has authored over 190 publications on topics ranging from basic mathematics to algebra and trigonometry to applied calculus. He received his BA in mathematics from Manchester College and his PhD in mathematics education from Purdue University. Special honors include Distinguished Visiting Professor at the United States Air Force Academy and his election to the Manchester College Board of Trustees from 1992 to 1999. His hobbies include hiking in Utah, baseball, golf and bowling. Professor Bittinger has also had the privilege of speaking at many mathematics conventions, most recently giving a lecture entitled "Baseball and Mathematics." In addition, he also has an interest in philosophy and theology, particularly apologetics. Professor Bittinger currently lives in Carmel, Indiana with his wife Elaine. He has 2 grown and married sons, Lowell and Chris, and 4 granddaughters.

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