Addison-Wesley / Prentice Hall

Mathematics



College Algebra, 4/E
Robert F. Blitzer, Miami-Dade Community College

ISBN-10: 0132191415
ISBN-13: 9780132191418

Publisher: Prentice Hall
Copyright: 2007
Format: Cloth Bound w/CD-ROM; 832 pp
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Suggested retail price: $134.67
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Gets Them Engaged. Keeps Them Engaged.


Blitzer's philosophy: present the full scope of mathematics, while always (1) engaging the student by opening their minds to learning (2) keeping the student engaged on every page (3) explaining ideas directly, simply, and clearly so they don't get "lost" when studying and reviewing.

 

First, he gets students engaged in the study of mathematics by highlighting truly relevant, unique, and engaging applications. He explores math the way it evolved: by describing real problems and how math explains them. In doing so, it answers the question "When will I ever use this?"  

 

Then, Blitzer keeps students engaged by ensuring they don't get lost when studying. Examples are easy to follow because of a three-step learning system — "See it, Hear it, Try it" embedded into each and every one. He literally "walks" the student through each example by his liberal use of annotations — the instructor's "voice" that appears throughout.

 

 

HALLMARK FEATURES:

  • Relevant, diverse applications with updated real-world dataProvides more interesting, real-world applications than found in any similar text.
    • Topics include cigarette consumption, passion and commitment in humans, and online spending trends.
      • Brings relevance to examples, discussions, and applications
      • applications involving cost functions, revenue functions, and break-even points (section 5.1) presents business majors with important topics.
      • Peaks students' interest by showing them how important math is to their lives on a daily basis.
  • Exceptionally clear and accessible presentation–More so than any text in the market, Blitzer is fastidious about ensuring that students can follow the book when they get home from class.
    1. Features voice balloons that allow for very, specific annotations in examples. These annotations are the things that instructors say to students when teaching a particular example. These annotations, like an instructor, translate the math for students.
      • Further clarifies procedures and concepts for students.
      • Appears everywhere throughout the text, in examples and beside graphs, whereever a student needs help.
      • Helps the students remember what the instructor said in class - - they get help when they need it the most - - when they are at home trying to do their homewor
    2. Well-Constructed Examples ALWAYS USE THE SAME FORMAT–"See it, Hear it, Try it" No steps are omitted and each step is clearly explained.
      • Students always know what to expect when they read the examples at home because the format it always the same
      • The format helps clarify and reinforce learning - First, students read the algebraic expression. Then, the annotations (or instructor's voice) help clarify the steps needed to solve the example, and last, the concept is immediately reinforced as the student is asked to try and solve a similar problem - a Checkpoint Example - right away. This actively involves students in the learning process.

NEW TO THIS EDITION

 

  • Mid Chapter Checkpoints:  At approximately the midway point in the chapter, an integrated set of review exercises allows student to review skills and concepts learned separately over several sections.
    • Overwhelmingly positively received, this is a great way to check understanding at critical points within chapters instead of waiting until the entire chapter is covered.
  • Practice Plus Problems:  This category of exercises contains more challenging problems. They require students to combine skills and to revisit key concepts in order to solve.
    • Gives students the opportunity to further develop their problem solving skills
    • Acts as a checkpoint to determine if certain covered skills and concepts are grasped adequately
    • Tests conceptual understanding
  • Chapter Test Prep Videos:  An enhancement to the popular Chapter Tests feature of previous editions. New videos now compliment these chapter tests which appear at the end of every chapter.  New to this edition are videos which contain worked-out solutions to every exercise in each chapter test. These videos come packaged in the Student and Instructors Edition as well as electronically in MyMathLab.
    • The chapter tests allow students to test themselves, before actual quizzes and tests, on their mathematical understanding of key concepts covered in each chapter.
    • The videos support the chapter tests by providing students with the aid of “an instructor” when and where they need it most - - when they are at home studying.

OTHER STUDENT SUPPORT

  • Titled Examples–All examples have titles.
    • Enables students to immediately see the purpose of each example.
  • Chapter-end Tests–Follows the comprehensive collection of chapter review exercises.
    • Gives students the opportunity to see if they are prepared for an actual class test.

  • Cumulative Review Exercises–At the end of each chapter.
    • Provides students with the opportunity for continuous review.

    Specific mathematical content prepares students for calculus: such as factoring algebraic expressions containing fractional and negative exponents; relative maximum and relative minimum values of a function; and function's average rate of change.
    • Helps students who will be going on to Calculus, and gives them an enhanced understanding of functions' graphs and how those graphs are changing.

CONTENT FEATURES:

  • Complex numbers and the discussion of graphs and graphing utilities appear in Chapter 1.
    • Enables students to immediate apply their understanding of complex numbers to their work in solving quadratic equations, and sets the stage for using graphing to support the algebraic work in solving equations and inequalities developed in Chapter 1.

  • A general discussion on cost and average cost functions appears in section 3.6.
    • Makes it possible for students to model these functions from verbal conditions before exploring the behavior of their graphs.
  • Extensive, and well-organized exercise sets–At the end of each section exercises are organized by level within six category types: Practice Exercises, Application Exercises, Writing in Mathematics, Technology Exercises, Critical Thinking Exercises, and Group Exercises.
    • Helps instructors easily create well-rounded homework assignments. Presents students with an ongoing selection of novel applications.

  • Enrichment Essays and section openers–Includes the five all-time celebrity winners on Jeopardy!, and a comparison between the probability of dying and the probability of winning Florida's lottery.
    • Provides historical, interdisciplinary, and interesting connections throughout the text.

  • Study Tip boxes–Appear in abundance throughout the book.
    • Offers students suggestions for problem solving, point out common student errors, and provide informal tips and suggestions.

  • Technology boxes.
    • Illustrates the many capabilities of graphing utilities that go beyond just graphing.

  • Chapter Review Grids–Feature summaries of chapter material organized into two-column review charts.
    • Summarizes the definitions and concepts for every section of the chapter, and refers students to illustrative examples by example number and page number of these key concepts.

    

  • Refreshed Applications: Bob Blitzer believes that an engaged student is a motivated student. That is why his text is full of the most interesting and diverse applications which demonstrate how math relates directly to his students’ lives. In this new edition, Bob has refreshed many of these applications so that they are as current and “cutting edge” as possible.
      • Get's students engaged by showing them how math is both interesting and relevant to their everyday lives.
  • Mid Chapter Checkpoints:  At approximately the midway point in the chapter, an integrated set of review exercises allows student to review skills and concepts learned separately over several sections.
      • Overwhelmingly positively received, this is a great way to check understanding at critical points within chapters instead of waiting until the entire chapter is covered.
  • Practice Plus Problems:  This category of exercises contains more challenging problems. They require students to combine skills and to revisit key concepts in order to solve.
      • Gives students the opportunity to further develop their problem solving skills
      • Acts as a checkpoint to determine if certain covered skills and concepts are grasped adequately
      • Tests conceptual understanding
  • Chapter Test Prep Videos:  An enhancement to the popular Chapter Tests feature of previous editions. New videos now compliment these chapter tests which appear at the end of every chapter.  New to this edition are videos which contain worked-out solutions to every exercise in each chapter test. These videos come packaged in the Student and Instructors Edition as well as electronically in MyMathLab.
    • The chapter tests allow students to test themselves, before actual quizzes and tests, on their mathematical understanding of key concepts covered in each chapter.
    • The videos support the chapter tests by providing students with the aid of “an instructor” when and where they need it most - - when they are at home studying.

     

                      ·      Animations of key mathematical concepts are now integrated into MyMathLab.
  •  

    Section P.1 (Algebraic Expressions and Real Numbers) now includes an early discussion of mathematical modeling and mathematical models, central themes of the book. Mathematical models now appear throughout Chapter P. A new discussion of intersection and union of sets paves the way for this notation

    to be used throughout the book.

     

    Section P.2 (Exponents and Scientific Notation) includes negative numbers in scientific notation, as well as an expanded discussion of converting from decimal to scientific notation.

     

    Section 1.6 (Other Types of Equations) and Section 1.7 (Linear Inequalities and Absolute Value Inequalities) take the discussion of absolute value to a slightly higher level, including solutions of equations and inequalities such as Section 1.7 contains a new discussion of intersections and unions of intervals.

     

    Chapter 2 (Functions and Graphs) has been reorganized around the books central idea: functions. Functions are introduced in the first section. All subsequent topics are viewed from the perspective of functions and relations. New

    multipart exercises that require students to bring together their knowledge of functions appear throughout the chapter.

     

    Section 2.1 (Basics of Functions and Their Graphs) contains a more detailed discussion, including new graphics, of identifying domain and range from a function’s graph.

     

    Section 2.3 (Linear Functions and Slope) and Section 2.4 (More on Slope) develop lines and slope from the perspective of functions. Section 2.3 contains a new example on using intercepts to graph the general form of a line’s equation. Section 2.4 contains a more thoroughly developed example on writing equations of a line perpendicular to a given line.

     

    Section 2.5 (Transformation of Functions) adds the graph of the cube root function, to the table of common graphs, using this graph, as well as the other six graphs in the table, in the discussion of transformations. New

    graphics with clarifying voice balloons illustrate transformations. A new discussion of horizontally stretching and shrinking a graph is included among the transformations.

     

    Section 3.1 (Quadratic Functions) contains a new discussion on modeling quadratic functions from verbal condtions and solving problems that involve maximizing or minimizing these functions.

     

    Section 3.2 (Polynomial Functions and Their Graphs) now includes the Intermediate Value Theorem.

     

    Section 3.4 (Zeros of Polynomial Function) now covers this topic in one section, rather than two. Although there is a new discussion on the various kinds of zeros and a new example on finding these zeros, finding bounds for

    the roots of a polynomial equation has been omitted.

     

    Section 3.5 (Rational Functions and Their Graphs) includes a new discussion on using transformations of to graph rational functions.

     

    Section 3.6 (Polynomial and Rational Inequalities) is a reworked and expanded discussion of quadratic and rational inequalities that appeared in Chapter 1 of the previous edition. Solution procedures are now developed and organized around polynomial functions, rational functions, and their graphs.

     

    Section 4.1 (Exponential Functions) now defines e as the value that approaches as using this definition to develop the formula for compound interest subject to continuous compounding. New graphics illustrate transformations of exponential functions.

     

    Section 4,4 (Exponential and Logarithmic Equations) has been reorganized into four categories:

    • Solving exponential equations using like bases
    • Solving exponential equations using logarithms and logarithmic properties
    • Solving logarithmic equations using the definition of a logarithm
    • Solving logarithmic equations using the one-to-one property of logarithms.

    New examples appear throughout the section to ensure adequate coverage of each category.

     

    Section 4.5 (Exponential Growth and Decay; Modeling Data) contains new examples involving choosing models for data before technology is used to obtain these models.

     

    Section 6.3 (Matrix Operations and Their Applications) contains a new application, related to earlier work with transformations of functions, on using matrix operations to transform and manipulate computer graphics.

     

    Section 7.2 (The Hyperbola) contains a new detailed example on converting the equation of a hyperbola to standard form by completing the square on x and y.

     

     

    Chapter P. Prerequisites: Fundamental Concepts of Algebra.

    P.1 Algebraic Expressions and Real Numbers

    1.       Evaluate algebraic expressions.

    2.       Use mathematical models.

    3.       Find the intersection of two sets.

    4.       Find the union of two sets.

    5.       Recognize subsets of the real numbers.

    6.       Use inequality symbols.

    7.       Evaluate absolute value.

    8.       Use absolute value to express distance.

    9.       Identify properties of the real numbers.

    10.   Simplify algebraic expressions.

    P.2 Exponents and Scientific Notation

    1.       Use the product rule.

    2.       Use the quotient rule.

    3.       Use the zero-exponent rule.

    4.       Use the negative-exponent rule.

    5.       Use the power rule.

    6.       Find the power of a product.

    7.       Find the power of a quotient.

    8.       Simplify exponential expressions.

    9.       Use scientific notation.

    P.3 Radicals and Rational Exponents

    1.       Evaluate square roots.

    2.       Simplify expressions of the form Öa2

    3.       Use the product rule to simplify square roots.

    4.       Use the quotient rule to simplify square roots.

    5.       Add and subtract square roots.

    6.       Rationalize denominators.

    7.       Evaluate and perform operations with higher roots.

    8.       Understand and use rational exponents.

    P.4 Polynomials

    1.       Understand the vocabulary of polynomials.

    2.       Add and subtract polynomials.

    3.       Multiply polynomials.

    4.       Use FOIL in polynomial multiplication.

    5.       Use special products in polynomial multiplication.

    6.       Perform operations with polynomials in several variables.

    Mid-Chapter Check Point

    P.5 Factoring Polynomials

    1.       Factor out the greatest common factor of a polynomial.

    2.       Factor by grouping.

    3.       Factor trinomials.

    4.       Factor the difference of squares.

    5.       Factor perfect square trinomials.

    6.       Factor the sum and difference of two cubes.

    7.       Use a general strategy for factoring polynomials.

    8.       Factor algebraic expressions containing fractional and negative exponents.

    P.6 Rational Expressions

    1.       Specify numbers that must be excluded from the domain of rational expressions.

    2.       Simplify rational expressions.

    3.       Multiply rational expressions.

    4.       Divide rational expressions.

    5.       Add and subtract rational expressions.

    6.       Simplify complex rational expressions.


    Chapter 1. Equations and Inequalities

    1.1   Graphs and Graphing Utilities

    1.       Plot points in the rectangular coordinate system.

    2.       Graph equations in the rectangular coordinate system.

    3.       Interpret information about a graphing utility’s viewing rectangle or table.

    4.       Use a graph to determine intercepts.

    5.       Interpret information given by graphs.

    1.2   Linear Equations and Rational Equations

    1.       Solve Linear equations in one variable.

    2.       Solve linear equations containing fractions.

    3.       Solve rational equations with variables in the denominators.

    4.       Recognize identities, conditional equations, and inconsistent equations.

    1.3   Models and Applications

    1. Use linear equations to solve problems.

    1.4   Complex Numbers

    1.       Add and subtract complex numbers.

    2.       Multiply complex numbers.

    3.       Divide complex numbers.

    4.       Perform operations with square roots of negative numbers.

    1.5   Quadratic Equations

    1.       Solve quadratic equations by factoring.

    2.       Solve quadratic equations by the square root property.

    3.       Solve quadratic equations by completing the square.

    4.       Solve quadratic equations using the quadratic formula.

    5.       Use the discriminant to determine the number and type of solutions.

    6.       Determine the most efficient method to use when solving a quadratic equation.

    Mid-Chapter Check Point

    1.6   Other Types of Equations

    1.       Solve polynomial equations by factoring.

    2.       Solve radical equations.

    3.       Solve equations with rational exponents.

    4.       Solve equations that are quadratic in form.

    5.       Solve equations involving absolute value.

    1.7   Linear Inequalities and Absolute Value Inequalities

    1.       Use interval notation.

    2.       Find intersections and unions of intervals.

    3.       Solve linear inequalities.

    4.       Recognize inequalities with no solution or all real numbers as solutions.

    5.       Solve compound inequalities.

    6.       Solve absolute value inequalities.

     



    Chapter 2. Functions and Graphs.

    2.1 Basic Functions and Their Graphs

    1.       Find the domain and range of a relation.

    2.       Determine whether an equation is a function.

    3.       Determine whether an equation represents a function.

    4.       Evaluate a function.

    5.       Graph functions by plotting points.

    6.       Use the vertical line test to identify functions.

    7.       Obtain information about a function from its graph.

    8.       Identify the domain and range of a function from its graph.

    9.       Identify intercepts from a function’s graph.

    2.2 More on Functions and Their Graphs

    1.       Find and simplify a function’s difference quotient.

    2.       Understand and use piecewise functions.

    3.       Identify intervals on which a function increases, decreases, or is constant.

    4.       Use graphs to locate relative maxima or minima.

    5.       Identify even or odd functions and recognize their symmetries.

    6.       Graph step functions.

    2.3 Linear Functions and Slope

    1.       Calculate a line’s slope.

    2.       Write the point-slope form of the equation of a line.

    3.       Write and graph the slope-intercept form of the equation of a line.

    4.       Graph horizontal or vertical lines.

    5.       Recognize and use the general form of a line’s equation.

    6.       Use intercepts to graph the general form of a line’s equation.

    7.       Model data with linear functions and make predictions.

    2.4 More on Slope

    1.       Find slopes and equations of parallel and perpendicular line.

    2.       Interpret slope as rate of change.

    3.       Find a function’s average rate of change.

    Mid-Chapter Check Point

    2.5 Transformations of Functions

    1.       Recognize graphs of common functions.

    2.       Use vertical shifts to graph functions.

    3.       Use horizontal shifts to graph functions.

    4.       Use reflections to graph functions.

    5.       Use vertical stretching and shrinking to graph functions.

    6.       Use horizontal stretching to graph functions.

    7.       Graph functions involving a sequence of transformations.

    2.6 Combinations of Functions; Composite Functions

    1.       Find the domain of a function.

    2.       Combine functions using the algebra of functions, specifying domains.

    3.       Form composite functions.

    4.       Determine domains for composite functions.

    5.       Write functions as composition.

    2.7 Inverse Functions

    1.       Verify inverse functions.

    2.       Find the inverse of a function.

    3.       Use the horizontal line test to determine if a function has an inverse function.

    4.       Use the graph of a one-to-one function to graph its inverse function.

    5.       Find the inverse of a function and graph both functions on the same axes.

    2.8 Distance and Midpoint Formulas; Circles

    1.       Find the distance between two points.

    2.       Find the midpoint of a line segment.

    3.       Write the standard form of a circle’s equation.

    4.       Give the center and radius of a circle whose equation is in standard form.

    5.       Convert the general form of a circle’s equation to standard form.


    Chapter 3. Polynomial and Rational Functions.

    3.1 Quadratic Function

    1.       Recognize characteristics of parabolas.

    2.       Graph parabolas.

    3.       Determine a quadratic function’s minimum or maximum value.

    4.       Solve problems involving a quadratic function’s minimum or maximum value.

    3.2 Polynomial Functions and Their Graphs

    1.       Identify polynomial functions.

    2.       Recognize characteristics of graphs of polynomial functions.

    3.       Determine end behavior.

    4.       Use factoring to find zeros of polynomial functions.

    5.       Identify zeros and their multiplicities.

    6.       Use the Intermediate Value Theorem.

    7.       Understand the relationship between degree and turning points.

    8.       Graph polynomial functions.

    3.3 Dividing Polynomials: Remainder and Factor Theorems

    1.       Use long division to divide polynomials

    2.       Use synthetic division to divide polynomials.

    3.       Evaluate a polynomial using the Remainder Theorem.

    4.       Use the Factor Theorem to solve a polynomial equation.

    3.4 Zeros of Polynomial Functions

    1.       Use the Rational Zero Theorem to find possible rational zeros.

    2.       Find zeros of a polynomial function.

    3.       Solve polynomial equations

    4.       Use the Linear Factorization Theorem to find polynomials with given zeros.

    5.       Use Descartes’s Rule of Signs.

    3.5 Rational Functions and Their Graphs

    1.       Find the domain of rational functions.

    2.       Use arrow notation.

    3.       Identify vertical asymptotes.

    4.       Identify horizontal asymptotes.

    5.       Use transformations to graph rational functions.

    6.       Graph rational functions.

    7.       Identify slant asymptotes.

    8.       Solve applied problems involving rational functions.

    Mid-Chapter Check Point

    3.6 Polynomial and Rational Inequalities

    1.       Solve Polynomial Inequalities.

    2.       Solve rational inequalities.

    3.       Solve problems modeled by polynomial or rational inequalities.

    3.7 Modeling Using Variation

    1.       Solve direct variation problems.

    2.       Solve inverse variation problems.

    3.       Solve combined variation problems.

    4.       Solve problems involving joint variation. 



    Chapter 4. Exponential and Logarithmic Functions.

    4.1 Exponential Functions

    1.       Evaluate exponential functions.

    2.       Graph exponential functions.

    3.       Evaluate functions with base e.

    4.       Use compound interest formulas.

    4.2 Logarithmic Functions

    1.       Change from logarithmic to exponential form.

    2.       Change from exponential to logarithmic form.

    3.       Evaluate logarithms.

    4.       Use basic logarithmic properties.

    5.       Graph logarithmic functions.

    6.       Find the domain of a logarithmic function.

    7.       Use common logarithms.

    8.       Use natural logarithms.

    4.3 Properties of Logarithms

    1.       Use the product rule.

    2.       Use the quotient rule.

    3.       Use the power rule.

    4.       Expand logarithmic expressions.

    5.       Condense logarithmic expressions.

    6.       Use the change-of-base property.

    Mid-Chapter Check Point

    4.4 Exponential and Logarithmic Equations

    1.       Use like bases to solve exponential equations.

    2.       Use logarithms to solve exponential equations.

    3.       Use the definition of a logarithm to solve logarithmic equations.

    4.       Use the one-to-one property of logarithms to solve logarithmic equations.

    5.       Solve applied problems involving exponential and logarithmic equations.

    4.5 Exponential Growth and Decay; Modeling Data

    1.       Model exponential growth and decay.

    2.       Use logistic growth models.

    3.       Model data with exponential and logarithmic functions.

    4.       Express an exponential model in base e.



    Chapter 5. Systems of Equations and Inequalities.

    5.1 Systems of Linear Equations in Two Variables.

    1.       Decide whether an ordered air is a solution of a linear system.

    2.       Solve linear systems by substitution.

    3.       Solve linear systems by addition.

    4.       Identify systems that do not have exactly one ordered-pair solution.

    5.       Solve problems using systems of linear equations.

    5.2 Systems of Linear Equations in Three Variables

    1.       Verify the solution of a system of linear equations in three variables.

    2.       Solve systems of linear equations in three variables.

    3.       Solve problems using systems in three variables.

    5.3 Partial Fractions

    1.       Decompose P/Q, where Q has only distinct linear factors.

    2.       Decompose P/Q, where Q has only repeated linear factors.

    3.       Decompose P/Q, where Q has a nonrepeated prime quadratic factor.

    4.       Decompose P/Q, where Q has a prime, repeated quadratic factor.

    5.4 Systems of Nonlinear Equations in Two Variables

    1.       Recognize systems of nonlinear equations in two variables.

    2.       Solve nonlinear systems by substitution.

    3.       Solve nonlinear systems by addition.

    4.       Solve problems using systems of nonlinear equations.

    Mid-Chapter Check Point

    5.5 Systems of Inequalities

    1.       Graph a linear inequality in two variables.

    2.       Graph a nonlinear inequality in two variables.

    3.       Graph a system of inequalities.

    4.       Solve applied problems involving systems of inequalities.

    5.6 Linear Programming

    1.       Write an objective function describing a quantity that must be maximized or minimized.

    2.       Use inequalities to describe limitations in a situation.

    3.       Use linear programming to solve problems.



    Chapter 6. Matrices and Determinants.

    6.1 Matrix Solutions to Linear Systems

    1.       Write the augmented matrix for a linear system.

    2.       Perform matrix row operations.

    3.       Use matrices and Gaussian eliminations to solve systems.

    4.       Use matrices and Gauss-Jordan elimination to solve systems.

    6.2 Inconsistent and Dependent Systems and Their Applications

           1.  Apply Gaussian elimination to systems without unique solutions.

    6.3 Matrix Operations and Their Applications

    1.       Use matrix notation.

    2.       Understand what is meant by equal matrices.

    3.       Add and subtract matrices.

    4.       Perform scalar multiplication.

    5.       Solve matrix equations.

    6.       Multiply matrices.

    7.       Describe applied situations with matrix operations.

    Mid-Chapter Check Point

    6.4. Multiplicative Inverses of Matrices and Matrix Equations

    1.       Find the multiplicative inverse of a square matrix.

    2.       Use inverses to solve matrix equations.

    3.       Encode and decode messages.

    6.5 Determinants and Cramer's Rule

    1.       Evaluate a second-order determinant.

    2.       Solve a system of linear equations in two variables using Cramer’s rule.

    3.       Evaluate a third-order determinant.

    4.       Solve a system of linear equations in three variables using Cramer’s rule

    5.       Use determinants to identify inconsistent systems and systems with dependent equations.

    6.       Evaluate higher-order determinants.



    7. Conic Sections.

    7.1 The Ellipse

    1.       Graph ellipses at the origin.

    2.       Write equations of ellipses in standard form.

    3.       Graph ellipses not centered at the origin.

    4.       Solve applied problems involving ellipses.

    7.2 The Hyperbola

    1.       Locate a hyperbola’s vertices and foci.

    2.       Write equations of hyperbolas in standard form.

    3.       Graph hyperbolas centered at the origin.

    4.       Graph hyperbolas not centered at the origin.

    5.       Solve applied problems involving hyperbolas.

    Mid-Chapter Check Point

    7.3 The Parabola

    1.       Graph parabolas with vertices at the origin.

    2.       Write equations of parabolas in standard form.

    3.       Graph parabolas with vertices not at the origin.

    4.       Solve applied problems involving parabolas.

     


    8. Sequences, Induction, and Probability.

    8.1 Sequences and Summation Notation

    1.       Find particular terms of a sequence from the general term.

    2.       Use recursion formulas.

    3.       Use factorial notation.

    4.       Use summation notation.

    8.2 Arithmetic Sequences

    1.       Find the common difference for an arithmetic sequence.

    2.       Write terms of an arithmetic sequence.

    3.       Use the formula for a general term of an arithmetic sequence.

    4.       Use the formula for the sum of the first n terms of an arithmetic sequence.

    8.3 Geometric Sequences and Series

    1.       Find the common ration of a geometric sequence.

    2.       Write terms of a geometric sequence.

    3.       Use the formula for the general term of a geometric sequence.

    4.       Use the formula for the sum of the first n terms of a geometric sequence.

    5.       Find the value of annuity.

    6.       Use the formula for the sum of a infinite geometric series.

    Mid-Chapter Check Point

    8.4 Mathematical Induction

    1.       Understand the principle of mathematical induction.

    2.       Prove statements using mathematical induction.

    8.5 The Binomial Theorem

    1.       Evaluate a binomial coefficient.

    2.       Expand a binomial raised to a power.

    3.       Find a particular term in a binomial expansion.

    8.6 Counting Principles, Permutations, and Combinations

    1.       Use the Fundamental Counting Principle.

    2.       Use the permutations formula.

    3.       Distinguish between permutation problems and combination problems.

    4.       Use the combinations formula.

    8.7 Probability

    1.       Compute empirical probability.

    2.       Compute theoretical probability.

    3.       Find the probability that an event will not occur.

    4.       Find the probability of one event or a second event occurring.

    5.       Find the probability of one event and a second event occurring.



    Appendix: Where Did That Come From? Selected Proofs.

    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 is most energized by teaching mathematics and has taught a variety of mathematics courses at Miami-Dade College for nearly 30 years. He has received numerous teaching awards, including Innovator of the Year from the League for Innovations in the Community College, and was among the first group of recipients at Miami-Dade College for an endowed chair based on excellence in the classroom. Bob has written Intermediate Algebra for College Students, Introductory Algebra for College Students, Essentials of Intermediate Algebra for College Students, Introductory and Intermediate Algebra for College Students, Essentials of Introductory and Intermediate Algebra for College Students, Algebra for College Students, Thinking Mathematically, College Algebra, Algebra and Trigonometry, and Precalculus, all published by Pearson Prentice Hall.

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    • Instructor's Edition, 4/E
      Blitzer
      © 2007 | Prentice Hall | Cloth; 864 pages | Instock
      ISBN-10: 0131953664 | ISBN-13: 9780131953666


    • Instructor's Solutions Manual, 4/E
      Miller & Blitzer
      © 2007 | Prentice Hall | Paper; 880 pages | Instock
      ISBN-10: 013195363X | ISBN-13: 9780131953635
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      Mathematics
      © 2007 | Prentice Hall | On-line Supplement | Instock
      ISBN-10: 0131953702 | ISBN-13: 9780131953703


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      Trim
      © 2007 | Prentice Hall | Paper | Instock
      ISBN-10: 0132280264 | ISBN-13: 9780132280266
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      Mathematics
      © 2007 | Prentice Hall | On-line Supplement | Instock
      ISBN-10: 0131953699 | ISBN-13: 9780131953697
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      Blitzer
      © 2007 | Prentice Hall | Software | Instock
      ISBN-10: 0131992244 | ISBN-13: 9780131992245