College Algebra: An Early Functions Approach (4e) : 9780134470023

College Algebra: An Early Functions Approach (4e)

Blitzer
 
Edition
 
4
ISBN
 
9780134470023
ISBN 10
 
0134470028
Published
 
03/01/2017
Published by
 
Pearson Higher Ed USA
Pages
 
960
Format
 
Available on demand
 
Title type
Book
$322.99
 
 
Title type
 
$65.00
 
 
Description

For courses in College Algebra.

 

Show students that our world is profoundly mathematical

Bob Blitzer continues to inspire students with his engaging approach to mathematics, making this beloved series the #1 in the market year after year. Blitzer draws on his unique background in mathematics and behavioural science to present a wide range of vivid applications in real-life situations. Students of all majors stay engaged because Blitzer uses pop-culture and up-to-date references to connect math to students’ lives, showing that our world is profoundly mathematical.

 

With the new edition, Blitzer takes student engagement with the mathematical world to a whole new level drawing from applications across all fields as well as topics that are of interest to any college student (e.g., student loan debt, grade inflation, sleep hours of college students). Applications are also brought to life online in a new, assignable video series that explore the entertaining and mathematical Blitzer Bonus boxes. The new edition also aims to help more students to succeed in the course with just-in-time support in the text–such as Brief Review of prerequisite topics, Achieving Success boxes, and Retain the Concepts exercises.

Table of contents
  • P. Prerequisites: Fundamental Concepts of Algebra
  • 1. Functions and Graphs
  • 2. Equations and Inequalities
  • 3. Polynomial and Rational Functions
  • 4. Exponential and Logarithmic Functions
  • 5. Systems of Equations and Inequalities
  • 6. Matrices and Determinants
  • 7. Conic Sections
  • 8. Sequences, Induction, and Probability
New to this edition
About the Book


  • Engage students with the mathematical world around them.
    • UPDATED! Outstanding applications from diverse fields are the centerpiece of this series, drawing from the author’s unique background in behavioral science. Students stay engaged when they see the context and understand the relevance of math. In this new edition, the author continues to raise the bar with new applications throughout that are relevant to college students, including student-loan debt, grade inflation, political orientation of college freshmen, sleep hours of college students, and the number of hours college students study per week.
  • Support students of all majors in their goal to be successful--in this course and beyond.
    • Achieving Success boxes appear at the end of many sections in Chapters 1 through 5 with strategies for persistence and success in college mathematics courses.
    • “Retaining the Concepts” section exercises focus on objectives that appeared previously in the text, to ensure students continue to apply and maintain mastery of the material. If students are not certain how to solve one of these, they can refer to the specific section and worked example provided next to each exercise.
  • Help students to study efficiently and apply their understanding with extensive and varied exercise sets
    • Learning Guide. Organized by the textbook's learning objectives, the Learning Guide is available as a print supplement to help students make the most of their textbook for test preparation. Activities are now included to give students an opportunity to discover and reinforce the concepts in an active learning environment and are ideal for group work in class.
    • Brief Review boxes summarize the most critical prerequisite mathematical skills students should know in order to master the chapter’s objectives. This feature appears whenever a particular skill is first needed and eliminates the need for reteaching that skill. For more detail, students are referred to the appropriate section and objective in a previous chapter where the topic is fully developed.
    • Retaining the Concepts exercises are a chance for students to review previously covered objectives in order to help maintain their mastery of the material and keep skills fresh. Beginning with Chapter 2 each Exercise Set contains three review exercises under the header “Retaining the Concepts.”  These exercises are also available to assign through MyLab™ Math.


Content and Organizational Changes in the Fourth Edition
  • Section P.1 (Algebraic Expressions, Mathematical Models, and Real Numbers) follows an example on the cost of attending college (Example 2) with a new Blitzer Bonus, “Is College Worthwhile?”
  • Section P.7 (Rational Expressions) uses the least common denominator to combine rational expressions with different denominators, including expressions having no common factors in their denominators.
  • Section 1.1 (Graphing and Graphing Utilities) contains a new example of a graph with more than one x-intercept (Example 5(d)).
  • Section 1.3 (More on Functions and Their Graphs) contains a new discussion on graphs with three forms of symmetry (Examples 2 and 3) before presenting even and odd functions. A new example (Example 4) addresses identifying even or odd functions from graphs.
  • Section 1.4 (Linear Functions and Slope) includes a new Blitzer Bonus, “Slope and Applauding Together.”
  • Section 2.3 (Complex Numbers) includes a new example on dividing complex numbers where the numerator is of the form bi (Example 3). (This is then followed by an example picked up from the Third Edition where the numerator is of the form bi.)
  • Section 2.4 (Quadratic Equations) provides a step-by-step procedure for solving quadratic equations by completing the square. This procedure forms the framework for the solutions in Examples 3 and 4.
  • Section 2.4 (Quadratic Equations) contains an example on the quadratic formula (Example 5) where the formula is used to solve a quadratic equation with rational solutions, an equation that students can also solve by factoring.
  • Section 2.4 (Quadratic Equations) has a new application of the Pythagorean Theorem (Example 10) involving HDTV screens. The example is followed by a new Blitzer Bonus, “Screen Math.”
  • Section 2.5 (Other Types of Equations) includes an example on solving an equation quadratic in form (Example 8), (x2 - 5)2 + 3(x2 - 5) - 10 = 0, where u is a binomial (x2 - 5).
  • Section 3.5 (Rational Functions and Their Graphs) opens with a discussion of college students and videogames. This is revisited in a new example (Example 9, “Putting the Video-Game Player Inside the Game”) involving the Oculus Rift, a virtual reality headset that enables users to experience video games as immersive three-dimensional environments.
  • Section 5.1 (Systems of Linear Equations in Two Variables) contains a new discussion on problems involving mixtures, important for many STEM students. A new example (Example 8) illustrates the procedure for solving a mixture problem.
  • Section 6.1 (Matrix Solutions to Linear Systems) has a new opening example (Example 1) showing the details on how to write an augmented matrix.
  • Section 7.1 (The Ellipse) includes a new example (Example 5) showing the details on graphing an ellipse centered at (hk) by completing the square.
  • Section 7.3 (The Parabola) adds a new objective on identifying conics of the form Ax2 Cy2 + Dx Ey = 0 without completing the square, supported by an example (Example 7).
  • Section 8.2 (Arithmetic Sequences) contains a new example (Example 3) on writing the general term of an arithmetic sequence.
  • Section 8.7 (Probability) uses the popular lottery games Powerball (Example 5) and Mega Millions (Exercises 27–30) as applications of probability and combinations.


Also available with MyLab Math

MyLab™ Math is an online homework, tutorial, and assessment program designed to work with this text to engage students and improve results. Within its structured environment, students practice what they learn, test their understanding, and pursue a personalized study plan that helps them absorb course material and understand difficult concepts. The new edition continues to expand the comprehensive auto-graded exercise options. In addition, MyLab Math includes new options designed to help students of all levels and majors to stay engaged and succeed in the course. 

  • Students enter the course with widely varying skill levels, so MyLab Math includes personalized support and targeted practice to help all students succeed.
    • Skill Builder offers adaptive practice that is designed to increase a student’s ability to complete assignments. By monitoring student performance on homework, Skill Builder adapts to each student’s needs and provides just-in-time, in-assignment practice to help them improve their proficiency of key learning objectives.
    • Workspace Assignments allow students to work through an exercise step-by-step, adjusting to the path each student takes and allowing them to show their mathematical reasoning as they progress, receiving feedback when and where they need it most. When accessed via a mobile device, Workspace exercises use handwriting recognition software that allows students to naturally write out their answers with their fingertip or stylus.
  • Engage students with the mathematical world around them, and develop their visualization skills to strengthen their understanding of the concepts.
    • Blitzer Bonus Videos bring the applications from the text to life, helping students make visual connections to algebra and the world around them. These are ideal for the classroom, or they can be assigned to students in MyLab Math as media assignments or through the new exercises that assess conceptual understanding of the videos.         
    • Guided Visualizations are interactive figures that help students visualize the concepts through directed explorations and purposeful manipulation. They encourage active learning, critical thinking, and conceptual understanding, and they can be assigned as homework with correlating exercises. Additional Exploratory Exercises are available to help students think more conceptually about the figures and provide an excellent framework for group projects or lecture discussions. For easy access, Guided Visualizations are available in the Multimedia Library and are HTML based, making them compatible with iPad and tablet devices.
  • Support students in their desire to be successful--in this course and beyond.
    • Retaining the Concepts exercises are a chance for students to review previously covered objectives in order to help maintain their mastery of the material and keep skills fresh. Beginning with Chapter 2 each Exercise Set contains three review exercises under the header “Retaining the Concepts.”  These exercises are also available to assign through MyLab Math.
    • Video Program includes fresh, interactive videos that walk students through the concepts from every objective of the text. The videos provide an active learning environment where students can work at their own pace.
  • Easier course set-up for instructors
    • Enhanced Sample Assignments make course set-up easier by giving instructors a starting point for each chapter. Each assignment, carefully curated for this specific text, with selections from Bob Blitzer, includes a thoughtful mix of question types (e.g., conceptual, skills, etc.) specific to that topic.
  • Foster in-class student engagement and peer-to-peer learning
    • UPDATED! Learning Guide, organized by the textbook's learning objectives, is available as a print supplement to help students make the most of their textbook for test preparation. Learning Guides are now included to give students an opportunity to discover and reinforce the concepts in an active learning environment and are ideal for group work in class
    • Learning Catalyticshelps instructors generate class discussion, customize lectures, and promote peer-to-peer learning with real-time analytics. As a student response tool, Learning Catalytics uses students’ smartphones, tablets, or laptops to engage them in more interactive tasks and thinking.
      • Upload a full PowerPoint® deck for easy creation of slide questions.
      • Team names are no longer case sensitive.
      • Help your students develop critical thinking skills.
      • Monitor responses to find out where your students are struggling.
      • Rely on real-time data to adjust your teaching strategy.
      • Automatically group students for discussion, teamwork, and peer-to-peer learning.
Features & benefits
  • Engage students with the mathematical world around them.
    • UPDATED! Outstanding applications from diverse fields are the centerpiece of this series, drawing from the author’s unique background in behavioral science. Students stay engaged when they see the context and understand the relevance of math. In this new edition, the author continues to raise the bar with new applications throughout that are relevant to college students, including student-loan debt, grade inflation, political orientation of college freshmen, sleep hours of college students, and the number of hours college students study per week.
    • Chapter Opening and Section-Opening Scenarios begin every chapter and section with a unique application of mathematics in students’ lives outside the classroom.  The often humorous tone of these openers is intended to help fearful and reluctant students overcome their negative perceptions about math. These scenarios are revisited throughout the chapter in examples, discussions, and exercises.
    • Blitzer Bonuses provide historical, interdisciplinary, and otherwise interesting connections to the algebra being studied, showing students that math is an interesting and dynamic discipline. New to this edition, these are brought to life in in a new video series and related assignments. 
  • Support students of all majors in their goal to be successful--in this course and beyond.
    • NEW! Achieving Success boxes appear at the end of many sections in Chapters 1 through 5 with strategies for persistence and success in college mathematics courses.
    • NEW! “Retaining the Concepts” section exercises focus on objectives that appeared previously in the text, to ensure students continue to apply and maintain mastery of the material. If students are not certain how to solve one of these, they can refer to the specific section and worked example provided next to each exercise.
    • Learning Objectives, framed in the context of a student question (What am I supposed to learn?), are clearly stated at the beginning of each section. These objectives help students recognise and focus on the section’s most important ideas. The objectives are restated in the margin at their point of use.
    • Voice balloons offer the support and guidance of an instructor’s voice. These translate algebraic ideas into everyday English, clarify problem-solving procedures, present alternative ways of understanding concepts, and connect problem solving to concepts students have already learned.
    • Check Point Examples follow a similar matched problem and offer students the opportunity to test their understanding of the example by working a similar exercise. The answers to the Check Points are provided in the answer section. 
    • Detailed Worked-Out Examples make the purpose of the example clear. Examples are clearly written and provide students with detailed step-by-step solutions. No steps are omitted and each step is thoroughly explained to the right of the mathematics.
    • Great Question! takes the content from each Study Tip and presents it in the context of a student question. Answers to the questions offer suggestions for problem solving, point out common errors to avoid, and provide informal hints and suggestions.
    • Integration of Technology Using Graphic and Numerical Approaches to Problems are side-by-side features in the technology boxes that show how graphing utilities verify and visualise algebraic results. Even for those not using graphing utilities, these displays will help students understand different approaches to problem solving.
    • Discovery boxes, found throughout the text, encourage students to further explore algebraic concepts. These explorations are optional and their omission does not interfere with the continuity of the topic at hand.
    • Chapter Summaries organise chapter material into easy-to-use two-column review charts. These summarise the definitions and concepts for every section of the chapter and refer students to illustrative examples.
  • Help students to study efficiently and apply their understanding with extensive and varied exercise sets
    • UPDATED! Learning Guide. Organised by the textbook's learning objectives, the Learning Guide is available as a print supplement to help students make the most of their textbook for test preparation. Activities are now included to give students an opportunity to discover and reinforce the concepts in an active learning environment and are ideal for group work in class.
    • NEW! Brief Review boxes summarise the most critical prerequisite mathematical skills students should know in order to master the chapter’s objectives. This feature appears whenever a particular skill is first needed and eliminates the need for reteaching that skill. For more detail, students are referred to the appropriate section and objective in a previous chapter where the topic is fully developed.
    • NEW! Retaining the Concepts exercises are a chance for students to review previously covered objectives in order to help maintain their mastery of the material and keep skills fresh. Beginning with Chapter 2 each Exercise Set contains three review exercises under the header “Retaining the Concepts.” 
    • Concept and Vocabulary Checks are short-answer exercises that precede the exercise sets to assess students’ understanding of the definitions and concepts presented in each section.
    • Practice Plus Problems contains more challenging practice problems that often require students to combine several skills or concepts. With an average of ten Practice Plus problems per exercise set, instructors have the flexibility to create assignments that take practice to a more challenging level. 
    • Mid-Chapter Checkpoints appear approximately at the midway point in each chapter and contain a set of review exercises that allow students to review skills and concepts from several sections before the end-of-chapter exercises.
    • Graphing and Functions that model data appear in nearly every section and exercise set. Graphing is introduced in Chapter 1 and functions are introduced in Chapter 2, with an integrated graphing functional approach emphasised throughout the book. Examples and exercises use graphs of functions to explore relationships between data and to provide ways of visualising a problem’s solution. Because functions are the core of this course, students are repeatedly shown how functions relate to equations and graphs.
    • “Make Sense?” classroom discussion exercises contain four critical thinking exercises that foster participation in the learning process. These questions ask students to determine whether statements are sensible, and to explain why or why not, allowing instructors to quickly gauge students’ understanding of concepts.
    • Preview Exercises at the end of each exercise set prepare students for material in the section ahead. Some problems review important material from the past and others are designed to get students thinking about concepts that they will soon encounter.
    • True/False problems challenge students to use their critical thinking skills by asking students to change the wording of false statements so that they become true.
    • End-of-Chapter Materials include a comprehensive collection of Review Exercises for each of the chapter’s sections right after the chapter Summary.
      • Cumulative Review Exercises, beginning at the end of Chapter 2, ensure that students remember previously learned material, keeping the fundamental skills and concepts fresh in their minds as they move on to the next chapter.
      • Chapter Tests cover all of the important topics in the chapter, helping students study for the real thing.
Author biography

Bob Blitzer is a native of Manhattan and received a Bachelor of Arts degree with dual majors in mathematics and psychology (minor: English literature) from the City College of New York. His unusual combination of academic interests led him toward a Master of Arts in mathematics from the University of Miami and a doctorate in behavioral sciences from Nova University. Bob’s love for teaching mathematics was nourished for nearly 30 years at Miami Dade College, where he received numerous teaching awards, including Innovator of the Year from the League for Innovations in the Community College and an endowed chair based on excellence in the classroom. In addition to College Algebra, Bob has written textbooks covering developmental mathematics, introductory algebra, intermediate algebra, trigonometry, algebra and trigonometry, precalculus, and liberal arts mathematics, all published by Pearson. When not secluded in his Northern California writer’s cabin, Bob can be found hiking the beaches and trails of Point Reyes National Seashore and tending to the chores required by his beloved entourage of horses, chickens, and irritable roosters.

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