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Algebra and Trigonometry Enhanced with Graphing Utilities 7th edition [Kietas viršelis]

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  • Formatas: Hardback, 1200 pages, aukštis x plotis x storis: 100x100x100 mm, weight: 100 g
  • Išleidimo metai: 27-May-2016
  • Leidėjas: Pearson
  • ISBN-10: 0134119266
  • ISBN-13: 9780134119267
Kitos knygos pagal šią temą:
Algebra and Trigonometry Enhanced with Graphing Utilities 7th editionDidesnis paveikslėlis
  • Formatas: Hardback, 1200 pages, aukštis x plotis x storis: 100x100x100 mm, weight: 100 g
  • Išleidimo metai: 27-May-2016
  • Leidėjas: Pearson
  • ISBN-10: 0134119266
  • ISBN-13: 9780134119267
Kitos knygos pagal šią temą:
Pastovi nuoroda: https://www.kriso.lt/db/9780134119267.html
Raktažodžiai:
Prepare, Practice, Review

The Sullivans time-tested approach focuses students on the fundamental skills they need for the course: preparing for class, practicing with homework, and reviewing the concepts. The Enhanced with Graphing Utilities Series has evolved to meet todays course needs by integrating the usage of graphing calculators, active-learning, and technology in new ways to help students be successful in their course, as well as in their future endeavors.

 

In the Seventh Edition, there are several new features that appear in both the text and MyMathLab. Retain Your Knowledge problems offer the type of final exam material that students can use to maintain their skills throughout each chapter.

 

Also available with MyMathLab ®

MyMathLab 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. NEW! Guided Lecture Notes help students take thorough, organized, and understandable notes during class or while they watch the Author in Action videos. They ask students to complete definitions, procedures, and examples based on the content of the videos and text.







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Three Distinct Series xix
The Enhanced with Graphing Utilities Series xx
Preface to the Instructor xxi
Resources for Success xxvii
Applications Index xxix
To the Student xxxiv
R Review
R.1 Real Numbers
2(16)
Work with Sets
Classify Numbers
Evaluate Numerical Expressions
Work with Properties of Real Numbers
R.2 Algebra Essentials
18(13)
Graph Inequalities
Find Distance on the Real Number Line
Evaluate Algebraic Expressions
Determine the Domain of a Variable
Use the Laws of Exponents
Evaluate Square Roots
Use a Calculator to Evaluate Exponents
Use Scientific Notation
R.3 Geometry Essentials
31(9)
Use the Pythagorean Theorem and Its Converse
Know Geometry Formulas
Understand Congruent Triangles and Similar Triangles
R.4 Polynomials
40(10)
Recognize Monomials
Recognize Polynomials
Add and Subtract Polynomials
Multiply Polynomials
Know Formulas for Special Products
Divide Polynomials Using Long Division
Work with Polynomials in Two Variables
R.5 Factoring Polynomials
50(9)
Factor the Difference of Two Squares and the Sum and Difference of Two Cubes
Factor Perfect Squares
Factor a Second-Degree Polynomial: x2 + Bx + C
Factor by Grouping
Factor a Second-Degree Polynomial: Axe + Bx + C, A 0 1
Complete the Square
R.6 Synthetic Division
59(4)
Divide Polynomials Using Synthetic Division
R.7 Rational Expressions
63(11)
Reduce a Rational Expression to Lowest Terms
Multiply and Divide Rational Expressions
Add and Subtract Rational Expressions
Use the Least Common Multiple Method
Simplify Complex Rational Expressions
R.8 nth Roots; Rational Exponents
74(8)
Work with nth Roots
Simplify Radicals
Rationalize Denominators
Simplify Expressions with Rational Exponents
1 Graphs, Equations, and Inequalities 82(82)
1.1 The Distance and Midpoint Formulas; Graphing Utilities; Introduction to Graphing Equations
83(16)
Use the Distance Formula
Use the Midpoint Formula
Graphing Equations by Plotting Points
Graph Equations Using a Graphing Utility
Use a Graphing Utility to Create Tables
Find Intercepts from a Graph
Use a Graphing Utility to Approximate Intercepts
1.2 Solving Equations Using a Graphing Utility; Linear and Rational Equations
99(11)
Solve Equations Using a Graphing Utility
Solve Linear Equations
Solve Rational Equations
Solve Problems That Can Be Modeled by Linear Equations
1.3 Quadratic Equations
110(11)
Solve Quadratic Equations by Factoring
Solve Quadratic Equations Using the Square Root Method
Solve Quadratic Equations by Completing the Square
Solve Quadratic Equations Using the Quadratic Formula
Solve Problems That Can Be Modeled by Quadratic Equations
1.4 Complex Numbers; Quadratic Equations in the Complex Number System
121(8)
Add, Subtract, Multiply, and Divide Complex Numbers
Solve Quadratic Equations in the Complex Number System
1.5 Radical Equations; Equations Quadratic in Form; Absolute Value Equations; Factorable Equations
129(8)
Solve Radical Equations
Solve Equations Quadratic in Form
Solve Absolute Value Equations
Solve Equations by Factoring
1.6 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Jobs
137(9)
Translate Verbal Descriptions into Mathematical Expressions
Solve Interest Problems
Solve Mixture Problems
Solve Uniform Motion Problems
Solve Constant Rate Job Problems
1.7 Solving Inequalities
146(12)
Use Interval Notation
Use Properties of Inequalities
Solve Linear Inequalities Algebraically and Graphically
Solve Combined Inequalities Algebraically and Graphically
Solve Absolute Value Inequalities Algebraically and Graphically
Chapter Review
158(4)
Chapter Test
162(1)
Chapter Projects
163(1)
2 Graphs 164(42)
2.1 Intercepts: Symmetry; Graphing Key Equations
165(8)
Find Intercepts Algebraically from an Equation
Test an Equation for Symmetry
Know How to Graph Key Equations
2.2 Lines
173(16)
Calculate and Interpret the Slope of a Line
Graph Lines Given a Point and the Slope
Find the Equation of a Vertical Line
Use the Point-Slope Form of a Line; Identify Horizontal Lines
Write the Equation of a Line in Slope-Intercept Form
Find the Equation of a Line Given Two Points
Graph Lines Written in General Form Using Intercepts
Find Equations of Parallel Lines
Find Equations of Perpendicular Lines
2.3 Circles
189(7)
Write the Standard Form of the Equation of a Circle
Graph a Circle by Hand and by Using a Graphing Utility
Work with the General Form of the Equation of a Circle
2.4 Variation
196(6)
Construct a Model Using Direct Variation
Construct a Model Using Inverse Variation
Construct a Model Using Joint Variation or Combined Variation
Chapter Review
202(2)
Chapter Test
204(1)
Cumulative Review
204(1)
Chapter Project
205(1)
3 Functions and Their Graphs 206(74)
3.1 Functions
207(15)
Determine Whether a Relation Represents a Function
Find the Value of a Function
Find the Difference Quotient of a Function
Find the Domain of a Function Defined by an Equation
Form the Sum, Difference, Product, and Quotient of Two Functions
3.2 The Graph of a Function
222(9)
Identify the Graph of a Function
Obtain Information from or about the Graph of a Function
3.3 Properties of Functions
231(14)
Determine Even and Odd Functions from a Graph
Identify Even and Odd Functions from an Equation
Use a Graph to Determine Where a Function Is Increasing, Decreasing, or Constant
Use a Graph to Locate Local Maxima and Local Minima
Use a Graph to Locate the Absolute Maximum and the Absolute Minimum
Use a Graphing Utility to Approximate Local Maxima and Local Minima and to Determine Where a Function Is Increasing or Decreasing
Find the Average Rate of Change of a Function
3.4 Library of Functions; Piecewise-defined Functions
245(11)
Graph the Functions Listed in the Library of Functions
Graph Piecewise-defined Functions
3.5 Graphing Techniques: Transformations
256(12)
Graph Functions Using Vertical and Horizontal Shifts
Graph Functions Using Compressions and Stretches
Graph Functions Using Reflections about the x-Axis and the y-Axis
3.6 Mathematical Models: Building Functions
268(5)
Build and Analyze Functions
Chapter Review
273(4)
Chapter Test
277(1)
Cumulative Review
278(1)
Chapter Projects
278(2)
4 Linear and Quadratic Functions 280(50)
4.1 Properties of Linear Functions and Linear Models
281(10)
Graph Linear Functions
Use Average Rate of Change to Identify Linear Functions
Determine Whether a Linear Function Is Increasing, Decreasing, or Constant
Build Linear Models from Verbal Descriptions
4.2 Building Linear Models from Data
291(7)
Draw and Interpret Scatter Diagrams
Distinguish between Linear and Nonlinear Relations
Use a Graphing Utility to Find the Line of Best Fit
4.3 Quadratic Functions and Their Properties
298(12)
Graph a Quadratic Function Using Transformations
Identify the Vertex and Axis of Symmetry of a Quadratic Function
Graph a Quadratic Function Using Its Vertex, Axis, and Intercepts
Find a Quadratic Function Given Its Vertex and One Other Point
Find the Maximum or Minimum Value of a Quadratic Function
4.4 Build Quadratic Models from Verbal Descriptions and from Data
310(10)
Build Quadratic Models from Verbal Descriptions
Build Quadratic Models from Data
4.5 Inequalities Involving Quadratic Functions
320(4)
Solve Inequalities Involving a Quadratic Function
Chapter Review
324(3)
Chapter Test
327(1)
Cumulative Review
328(1)
Chapter Projects
329(1)
5 Polynomial and Rational Functions 330(77)
5.1 Polynomial Functions and Models
331(20)
Identify Polynomial Functions and Their Degree
Graph Polynomial Functions Using Transformations
Identify the Real Zeros of a Polynomial Function and Their Multiplicity
Analyze the Graph of a Polynomial Function
Build Cubic Models from Data
5.2 The Real Zeros of a Polynomial Function
351(15)
Use the Remainder and Factor Theorems
Use Descartes' Rule of Signs to Determine the Number of Positive and the Number of Negative Real Zeros of a Polynomial Function
Use the Rational Zeros Theorem to List the Potential Rational Zeros of a Polynomial Function
Find the Real Zeros of a Polynomial Function
Solve Polynomial Equations
Use the Theorem for Bounds on Zeros
Use the Intermediate Value Theorem
5.3 Complex Zeros; Fundamental Theorem of Algebra
366(6)
Use the Conjugate Pairs Theorem
Find a Polynomial Function with Specified Zeros
Find the Complex Zeros of a Polynomial Function
5.4 Properties of Rational Functions
372(10)
Find the Domain of a Rational Function
Find the Vertical Asymptotes of a Rational Function
Find the Horizontal or Oblique Asymptote of a Rational Function
5.5 The Graph of a Rational Function
382(11)
Analyze the Graph of a Rational Function
Solve Applied Problems Involving Rational Functions
5.6 Polynomial and Rational Inequalities
393(7)
Solve Polynomial Inequalities Algebraically and Graphically
Solve Rational Inequalities Algebraically and Graphically
Chapter Review
400(4)
Chapter Test
404(1)
Cumulative Review
404(1)
Chapter Projects
405(2)
6 Exponential and Logarithmic Functions 407(105)
6.1 Composite Functions
408(8)
Form a Composite Function
Find the Domain of a Composite Function
6.2 One-to-One Functions; Inverse Functions
416(12)
Determine Whether a Function Is One-to-One
Determine the Inverse of a Function Defined by a Map or a Set of Ordered Pairs
Obtain the Graph of the Inverse Function from the Graph of the Function
Find the Inverse of a Function Defined by an Equation
6.3 Exponential Functions
428(17)
Evaluate Exponential Functions
Graph Exponential Functions
Define the Number e
Solve Exponential Equations
6.4 Logarithmic Functions
445(13)
Change Exponential Statements to Logarithmic Statements and Logarithmic Statements to Exponential Statements
Evaluate Logarithmic Expressions
Determine the Domain of a Logarithmic Function
Graph Logarithmic Functions
Solve Logarithmic Equations
6.5 Properties of Logarithms
458(9)
Work with the Properties of Logarithms
Write a Logarithmic Expression as a Sum or Difference of Logarithms
Write a Logarithmic Expression as a Single Logarithm
Evaluate a Logarithm Whose Base Is Neither 10 Nor e
Graph a Logarithmic Function Whose Base Is Neither 10 Nor e
6.6 Logarithmic and Exponential Equations
467(8)
Solve Logarithmic Equations
Solve Exponential Equations
Solve Logarithmic and Exponential Equations Using a Graphing Utility
6.7 Financial Models
475(9)
Determine the Future Value of a Lump Sum of Money
Calculate Effective Rates of Return
Determine the Present Value of a Lump Sum of Money
Determine the Rate of Interest or the Time Required to Double a Lump Sum of Money
6.8 Exponential Growth and Decay Models; Newton's Law; Logistic Growth and Decay Models
484(11)
Find Equations of Populations That Obey the Law of Uninhibited Growth
Find Equations of Populations That Obey the Law of Decay
Use Newton's Law of Cooling
Use Logistic Models
6.9 Building Exponential, Logarithmic, and Logistic Models from Data
495(9)
Build an Exponential Model from Data
Build a Logarithmic Model from Data
Build a Logistic Model from Data
Chapter Review
504(5)
Chapter Test
509(1)
Cumulative Review
510(1)
Chapter Projects
511(1)
7 Trigonometric Functions 512(102)
7.1 Angles and Their Measure
513(14)
Convert between Decimal and Degree, Minute, Second Measures for Angles
Find the Length of an Arc of a Circle
Convert from Degrees to Radians and from Radians to Degrees
Find the Area of a Sector of a Circle
Find the Linear Speed of an Object Traveling in Circular Motion
7.2 Right Triangle Trigonometry
527(12)
Find the Values of Trigonometric Functions of Acute Angles
Use Fundamental Identities
Find the Values of the Remaining Trigonometric Functions, Given the Value of One of Them
Use the Complementary Angle Theorem
7.3 Computing the Values of Trigonometric Functions of Acute Angles
539(11)
Find the Exact Values of the Trigonometric Functions of π/4 = 45°
Find the Exact Values of the Trigonometric Functions of π/6 = 30° and π/3 = 60°
Use a Calculator to Approximate the Values of the Trigonometric Functions of Acute Angles
Model and Solve Applied Problems Involving Right Triangles
7.4 Trigonometric Functions of Any Angle
550(11)
Find the Exact Values of the Trigonometric Functions for Any Angle
Use Coterminal Angles to Find the Exact Value of a Trigonometric Function
Determine the Signs of the Trigonometric Functions of an Angle in a Given Quadrant
Find the Reference Angle of an Angle
Use a Reference Angle to Find the Exact Value of a Trigonometric Function
Find the Exact Values of the Trigonometric Functions of an Angle, Given Information about the Functions
7.5 Unit Circle Approach; Properties of the Trigonometric Functions
561(11)
Find the Exact Values of the Trigonometric Functions Using the Unit Circle
Know the Domain and Range of the Trigonometric Functions
Use Periodic Properties to Find the Exact Values of the Trigonometric Functions
Use Even-Odd Properties to Find the Exact Values of the Trigonometric Functions
7.6 Graphs of the Sine and Cosine Functions
572(15)
Graph Functions of the Form y = A sin (ωx) Using Transformations
Graph Functions of the Form y = A cos (ωx) Using Transformations
Determine the Amplitude and Period of Sinusoidal Functions
Graph Sinusoidal Functions Using Key Points
Find an Equation for a Sinusoidal Graph
7.7 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
587(8)
Graph Functions of the Form y = A tan (ωx) + B and y = A cot (ωx) + B
Graph Functions of the Form y = A csc (ωx) + B and y = A sec (ωx) + B
7.8 Phase Shift; Sinusoidal Curve Fitting
595(11)
Graph Sinusoidal Functions of the Form y = A sin (ωx — φ) + B
Build Sinusoidal Models from Data
Chapter Review
606(5)
Chapter Test
611(1)
Cumulative Review
612(1)
Chapter Projects
613(1)
8 Analytic Trigonometry 614(70)
8.1 The Inverse Sine, Cosine, and Tangent Functions
615(14)
Find the Exact Value of an Inverse Sine Function
Find an Approximate Value of an Inverse Sine Function
Use Properties of Inverse Functions to Find Exact Values of Certain Composite Functions
Find the Inverse Function of a Trigonometric Function
Solve Equations Involving Inverse Trigonometric Functions
8.2 The Inverse Trigonometric Functions (Continued)
629(5)
Find the Exact Value of Expressions Involving the Inverse Sine, Cosine, and Tangent Functions
Define the Inverse Secant, Cosecant, and Cotangent Functions
Use a Calculator to Evaluate sec-1x, csc-1x, and cot-1x
Write a Trigonometric Expression as an Algebraic Expression
8.3 Trigonometric Equations
634(10)
Solve Equations Involving a Single Trigonometric Function
Solve Trigonometric Equations Using a Calculator
Solve Trigonometric Equations Quadratic in Form
Solve Trigonometric Equations Using Fundamental Identities
Solve Trigonometric Equations Using a Graphing Utility
8.4 Trigonometric Identities
644(8)
Use Algebra to Simplify Trigonometric Expressions
Establish Identities
8.5 Sum and Difference Formulas
652(12)
Use Sum and Difference Formulas to Find Exact Values
Use Sum and Difference Formulas to Establish Identities
Use Sum and Difference Formulas Involving Inverse Trigonometric Functions
Solve Trigonometric Equations Linear in Sine and Cosine
8.6 Double-angle and Half-angle Formulas
664(11)
Use Double-angle Formulas to Find Exact Values
Use Double-angle Formulas to Establish Identities
Use Half-angle Formulas to Find Exact Values
8.7 Product-to-Sum and Sum-to-Product Formulas
675(4)
Express Products as Sums
Express Sums as Products
Chapter Review
679(3)
Chapter Test
682(1)
Cumulative Review
682(1)
Chapter Projects
683(1)
9 Applications of Trigonometric Functions 684(46)
9.1 Applications Involving Right Triangles
685(6)
Solve Right Triangles
Solve Applied Problems
9.2 The Law of Sines
691(10)
Solve SAA or ASA Triangles
Solve SSA Triangles
Solve Applied Problems
9.3 The Law of Cosines
701(7)
Solve SAS Triangles
Solve SSS Triangles
Solve Applied Problems
9.4 Area of a Triangle
708(7)
Find the Area of SAS Triangles
Find the Area of SSS Triangles
9.5 Simple Harmonic Motion; Damped Motion; Combining Waves
715(9)
Build a Model for an Object in Simple Harmonic Motion
Analyze Simple Harmonic Motion
Analyze an Object in Damped Motion
Graph the Sum of Two Functions
Chapter Review
724(2)
Chapter Test
726(1)
Cumulative Review
727(1)
Chapter Projects
728(2)
10 Polar Coordinates; Vectors 730(61)
10.1 Polar Coordinates
731(9)
Plot Points Using Polar Coordinates
Convert from Polar Coordinates to Rectangular Coordinates
Convert from Rectangular Coordinates to Polar Coordinates
Transform Equations between Polar and Rectangular Forms
10.2 Polar Equations and Graphs
740(16)
Identify and Graph Polar Equations by Converting to Rectangular Equations
Graph Polar Equations Using a Graphing Utility
Test Polar Equations for Symmetry
Graph Polar Equations by Plotting Points
10.3 The Complex Plane; De Moivre's Theorem
756(8)
Plot Points in the Complex Plane
Convert a Complex Number between Rectangular Form and Polar Form
Find Products and Quotients of Complex Numbers in Polar Form
Use De Moivre's Theorem
Find Complex Roots
10.4 Vectors
764(15)
Graph Vectors
Find a Position Vector
Add and Subtract Vectors Algebraically
Find a Scalar Multiple and the Magnitude of a Vector
Find a Unit Vector
Find a Vector from Its Direction and Magnitude
Model with Vectors
10.5 The Dot Product
779(7)
Find the Dot Product of Two Vectors
Find the Angle between Two Vectors
Determine Whether Two Vectors Are Parallel
Determine Whether Two Vectors Are Orthogonal
Decompose a Vector into Two Orthogonal Vectors
Compute Work
Chapter Review
786(3)
Chapter Test
789(1)
Cumulative Review
789(1)
Chapter Projects
790(1)
11 Analytic Geometry 791(70)
11.1 Conics
792(1)
Know the Names of the Conics
11.2 The Parabola
793(10)
Analyze Parabolas with Vertex at the Origin
Analyze Parabolas with Vertex at (h, k)
Solve Applied Problems Involving Parabolas
11.3 The Ellipse
803(11)
Analyze Ellipses with Center at the Origin
Analyze Ellipses with Center at (h, k)
Solve Applied Problems Involving Ellipses
11.4 The Hyperbola
814(14)
Analyze Hyperbolas with Center at the Origin
Find the Asymptotes of a Hyperbola
Analyze Hyperbolas with Center at (h, k)
Solve Applied Problems Involving Hyperbolas
11.5 Rotation of Axes; General Form of a Conic
828(8)
Identify a Conic
Use a Rotation of Axes to Transform Equations
Analyze an Equation Using a Rotation of Axes
Identify Conics without a Rotation of Axes
11.6 Polar Equations of Conics
836(6)
Analyze and Graph Polar Equations of Conics
Convert the Polar Equation of a Conic to a Rectangular Equation
11.7 Plane Curves and Parametric Equations
842(14)
Graph Parametric Equations by Hand
Graph Parametric Equations Using a Graphing Utility
Find a Rectangular Equation for a Curve Defined Parametrically
Use Time as a Parameter in Parametric Equations
Find Parametric Equations for Curves Defined by Rectangular Equations
Chapter Review
856(2)
Chapter Test
858(1)
Cumulative Review
859(1)
Chapter Projects
860(1)
12 Systems of Equations and Inequalities 861(100)
12.1 Systems of Linear Equations: Substitution and Elimination
862(15)
Solve Systems of Equations by Substitution
Solve Systems of Equations by Elimination
Identify Inconsistent Systems of Equations Containing Two Variables
Express the Solution of a System of Dependent Equations Containing Two Variables
Solve Systems of Three Equations Containing Three Variables
Identify Inconsistent Systems of Equations Containing Three Variables
Express the Solution of a System of Dependent Equations Containing Three Variables
12.2 Systems of Linear Equations: Matrices
877(16)
Write the Augmented Matrix of a System of Linear Equations
Write the System of Equations from the Augmented Matrix
Perform Row Operations on a Matrix
Solve a System of Linear Equations Using Matrices
12.3 Systems of Linear Equations: Determinants
893(10)
Evaluate 2 by 2 Determinants
Use Cramer's Rule to Solve a System of Two Equations Containing Two Variables
Evaluate 3 by 3 Determinants
Use Cramer's Rule to Solve a System of Three Equations Containing Three Variables
Know Properties of Determinants
12.4 Matrix Algebra
903(17)
Find the Sum and Difference of Two Matrices
Find Scalar Multiples of a Matrix
Find the Product of Two Matrices
Find the Inverse of a Matrix
Solve a System of Linear Equations Using an Inverse Matrix
12.5 Partial Fraction Decomposition
920(8)
Decompose P/Q, Where Q Has Only Nonrepeated Linear Factors
Decompose P/Q, Where Q Has Repeated Linear Factors
Decompose P/Q, Where Q Has a Nonrepeated Irreducible Quadratic Factor
Decompose P/Q, Where Q Has a Repeated Irreducible Quadratic Factor
12.6 Systems of Nonlinear Equations
928(10)
Solve a System of Nonlinear Equations Using Substitution
Solve a System of Nonlinear Equations Using Elimination
12.7 Systems of Inequalities
938(9)
Graph an Inequality by Hand
Graph an Inequality Using a Graphing Utility
Graph a System of Inequalities
12.8 Linear Programming
947(7)
Set Up a Linear Programming Problem
Solve a Linear Programming Problem
Chapter Review
954(4)
Chapter Test
958(1)
Cumulative Review
959(1)
Chapter Projects
960(1)
13 Sequences; Induction; the Binomial Theory. 961(46)
13.1 Sequences
962(13)
Write the First Several Terms of a Sequence
Write the Terms of a Sequence Defined by a Recursive Formula
Use Summation Notation
Find the Sum of a Sequence Algebraically and Using a Graphing Utility
Solve Annuity and Amortization Problems
13.2 Arithmetic Sequences
975(7)
Determine Whether a Sequence Is Arithmetic
Find a Formula for an Arithmetic Sequence
Find the Sum of an Arithmetic Sequence
13.3 Geometric Sequences; Geometric Series
982(10)
Determine Whether a Sequence Is Geometric
Find a Formula for a Geometric Sequence
Find the Sum of a Geometric Sequence
Determine Whether a Geometric Series Converges or Diverges
13.4 Mathematical Induction
992(4)
Prove Statements Using Mathematical Induction
13.5 The Binomial Theorem
996(6)
Evaluate (nj)
Use the Binomial Theorem
Chapter Review
1002(3)
Chapter Test
1005(1)
Cumulative Review
1005(1)
Chapter Projects
1006(1)
14 Counting and Probability 1007
14.1 Counting
1008(5)
Find All the Subsets of a Set
Count the Number of Elements in a Set
Solve Counting Problems Using the Multiplication Principle
14.2 Permutations and Combinations
1013(9)
Solve Counting Problems Using Permutations Involving n Distinct Objects
Solve Counting Problems Using Combinations
Solve Counting Problems Using Permutations Involving n Nondistinct Objects
14.3 Probability
1022(10)
Construct Probability Models
Compute Probabilities of Equally Likely Outcomes
Find Probabilities of the Union of Two Events
Use the Complement Rule to Find Probabilities
Chapter Review
1032(2)
Chapter Test
1034(1)
Cumulative Review
1035(1)
Chapter Projects
1035
Answers AN1
Credits C1
Index I1
Michael Sullivan, Emeritus Professor of Mathematics at Chicago State University, received a Ph.D. in mathematics from the Illinois Institute of Technology. Mike taught at Chicago State for 35 years before recently retiring. He is a native of Chicagos South Side and divides his time between Oak Lawn, Illinois, and Naples, Florida.

 

Mike is a member of the American Mathematical Society and the Mathematical Association of America. He is a past president of the Text and Academic Authors Association and is currently Treasurer of its Foundation. He is a member of the TAA Council of Fellows, and was awarded the TAA Mike Keedy award in 1997 and the Lifetime Achievement Award in 2007. In addition, he represents TAA on the Authors Coalition of America.

 

Mike has been writing textbooks for more than 35 years and currently has 15 books in print, 12 with Pearson Education. When not writing, he enjoys tennis, golf, gardening, and travel.

 

Mike has four children: Kathleen teaches college mathematics; Michael III teaches college mathematics and is his co-author on two precalculus series; Dan works in publishing; and Colleen teaches middle school and secondary school mathematics. Twelve grandchildren round out the family.

 

Mike Sullivan III is a professor of mathematics at Joliet Junior College. He holds graduate degrees from DePaul University in both mathematics and economics. Mike is an author or co-author on more than 20 books, including a statistics book and a developmental mathematics series. Mike is the father of three children and an avid golfer, who tries to spend as much of his limited free time as possible on the golf course.