Preface 

ix  



Real Numbers and Their Properties 


2  (14) 


16  (9) 

Polynomials; The Binomial Theorem 


25  (12) 


37  (7) 


44  (9) 


53  (11) 


64  (20) 


75  (3) 


78  (3) 


81  (1) 

Internet Project The NFL Quarterback Rating System 


82  (2) 

Equations and Inequalities 




84  (7) 

Linear Applications and Modeling 


91  (12) 


103  (7) 


110  (10) 

Quadratic Applications and Modeling 


120  (9) 


129  (9) 


138  (10) 

Absolute Value Equations and Inequalities 


148  (17) 


155  (1) 


156  (4) 


160  (2) 

Internet Project Protecting Our Environment 


162  (3) 

Relations, Functions, and Graphs 



Relations and the Rectangular Coordinate System; Circles 


165  (15) 


180  (15) 


195  (13) 

Equations of Lines; Curve Fitting 


208  (12) 

Graphs of Relations and Functions 


220  (13) 

General Graphing Techniques 


233  (16) 

Operations and Composition 


249  (21) 


258  (3) 


261  (4) 


265  (3) 

Internet Project Modeling the Drift of Whittier, California 


268  (2) 

Polynomial and Rational Functions 



Quadratic Functions; Curve Fitting 


270  (14) 


284  (7) 

Zeros of Polynomial Functions 


291  (11) 

Polynomial Functions: Graphs, Applications, and Models 


302  (14) 

Rational Functions: Graphs, Applications, and Models 


316  (14) 


330  (16) 


337  (1) 


338  (4) 


342  (2) 

Internet Project Polynomial Modeling of Social Security Numbers 


344  (2) 

Exponential and Logarithmic Functions 




346  (12) 


358  (16) 


374  (10) 

Evaluating Logarithms and the ChangeofBase Theorem 


384  (11) 

Exponential and Logarithmic Equations 


395  (10) 

Applications and Models of Exponential Growth and Decay 


405  (19) 


415  (1) 


416  (4) 


420  (2) 

Internet Project Modeling Growth of Internet Hosts 


422  (2) 




424  (7) 

Right Triangles and Trigonometric Functions 


431  (15) 

Finding Trigonometric Function Values 


446  (14) 


460  (12) 


472  (11) 

The Unit Circle and Circular Functions 


483  (11) 

Graphs of the Sine and Cosine Functions 


494  (17) 


511  (3) 

Graphs of the Other Circular Functions 


514  (24) 


526  (4) 


530  (5) 


535  (1) 

Internet Project Modeling Sunset Times 


536  (2) 

Trigonometric Identities and Equations 




538  (7) 

Verifying Trigonometric Identities 


545  (8) 

Sum and Difference Identities 


553  (11) 

DoubleAngle Identities and HalfAngle Identities 


564  (13) 

Inverse Trigonometric Functions 


577  (13) 


590  (13) 

Equations Involving Inverse Trigonometric Functions 


603  (17) 


609  (3) 


612  (4) 


616  (1) 

Internet Project Modeling a Damped Pendulum 


617  (3) 

Applications of Trigonometry 



Oblique Triangles and the Law of Sines 


620  (14) 


634  (10) 

Vectors and the Dot Product 


644  (10) 


654  (6) 

Products and Quotients of Complex Numbers 


660  (10) 

De Moivre's Theorem; Powers and Roots of Complex Numbers 


670  (7) 

Polar Equations and Graphs 


677  (11) 

Parametric Equations, Graphs, and Applications 


688  (20) 


697  (2) 


699  (5) 


704  (1) 

Internet Project The Art of Undersampling 


705  (3) 

Systems of Equations and Inequalities 



Linear Systems of Equations 


708  (17) 

Matrix Solution of Linear Systems 


725  (10) 

Determinant Solution of Linear Systems 


735  (12) 


747  (6) 

Nonlinear Systems of Equations 


753  (10) 

Systems of Inequalities and Linear Programming 


763  (11) 


774  (14) 


788  (23) 


800  (2) 


802  (4) 


806  (1) 

Internet Project A Topic from Numerical Analysis 


807  (4) 




811  (9) 


820  (11) 


831  (10) 

Summary of the Conic Sections; Rectangular and Polar Forms 


841  (13) 


854  (10) 


858  (1) 


859  (2) 


861  (1) 

Internet Project Modeling the Path of a Bouncing Ball 


862  (2) 

Further Topics in Algebra 




864  (10) 

Arithmetic Sequences and Series 


874  (8) 

Geometric Sequences and Series 


882  (9) 

The Binomial Theorem Revisited 


891  (7) 


898  (7) 


905  (10) 


915  


925  


927  


929  

Internet Project Simulating Experiments Using Random Number Generators 


930  
Answers to Selected Exercises 

A1  
Index 

I1  
Index of Applications 

I7  