Preface 

ix  
To the Instructor 

xx  
To the Student 

xxiv  


1  (58) 


2  (16) 

Excursion: Decimal Representation of Real Numbers 


15  (3) 

Solving Equations Algebraically 


18  (10) 

Excursion: Absolute Value Equations 


26  (2) 


28  (10) 


38  (21) 


51  (8) 


59  (58) 

Graphs and Graphing Calculators 


60  (13) 

Solving Equations Graphically and Numerically 


73  (7) 

Applications of Equations 


80  (11) 

Optimization Applications 


91  (5) 


96  (21) 


109  (8) 


117  (88) 


118  (9) 


127  (9) 


136  (14) 

Graphs and Transformations 


150  (15) 


159  (6) 


165  (9) 


174  (12) 


186  (19) 


195  (10) 

Polynomial and Rational Functions 


205  (100) 


206  (7) 


213  (11) 

Excursion: Synthetic Division 


221  (3) 

Real Roots of Polynomials 


224  (8) 

Graphs of Polynomial Functions 


232  (17) 

Excursion: Polynomial Models 


244  (5) 


249  (18) 

Excursion: Other Rational Functions 


263  (4) 

Polynomial and Rational Inequalities 


267  (14) 

Excursion: Absolute Value Inequalities 


278  (3) 


281  (7) 


288  (17) 


295  (10) 

Exponential and Logarithmic Functions 


305  (84) 

Radicals and Rational Exponents 


306  (14) 

Excursion: Radical Equations 


313  (7) 


320  (20) 

Excursion: Compound Interest and the Number e 


334  (6) 

Common and Natural Logarithmic Functions 


340  (20) 

Excursion: Logarithmic Functions to Other Bases 


352  (8) 

Algebraic Solutions of Exponential and Logarithmic Equations 


360  (9) 

Exponential, Logarithmic, and Other Models 


369  (20) 


381  (8) 


389  (76) 

Angles and Their Measurement 


390  (11) 

The Sine, Cosine, and Tangent Functions 


401  (8) 


409  (9) 


418  (10) 

Periodic Graphs and Simple Harmonic Motion 


428  (19) 

Excursion: Other Trigonometric Graphs 


441  (6) 

Other Trigonometric Functions 


447  (18) 


456  (9) 


465  (42) 

Right Triangle Trigonometry 


466  (15) 


481  (7) 


488  (19) 


501  (6) 

Trigonometric Identities and Equations 


507  (56) 

Basic Identities and Proofs 


508  (9) 

Addition and Subtraction Identities 


517  (13) 

Excursion: Lines and Angles 


526  (4) 


530  (8) 


538  (11) 

Inverse Trigonometric Functions 


549  (14) 


557  (6) 

Applications of Trigonometry 


563  (46) 

The Complex Plane and Polar Form for Complex Numbers 


564  (6) 

DeMoivre's Theorem and nth Roots of Complex Numbers 


570  (8) 


578  (15) 


593  (16) 


603  (6) 


609  (72) 

Plane Curves and Parametric Equations 


610  (14) 


624  (14) 

Translations and Rotations of Conics 


638  (17) 

Excursion: Rotation of Axes 


649  (6) 


655  (9) 

Polar Equations of Conics 


664  (17) 


675  (6) 


681  (50) 

Systems of Linear Equations in Two Variables 


682  (11) 

Large Systems of Linear Equations 


693  (15) 

Matrix Methods for Square Systems 


708  (11) 

Systems of Nonlinear Equations 


719  (12) 


726  (5) 


731  (48) 


732  (10) 


742  (5) 


747  (10) 

Excursion: Infinite Series 


752  (5) 


757  (7) 


764  (15) 


774  (5) 
Algebra Review Appendix 

779  (18) 
Geometry Review Appendix 

797  (6) 
Program Appendix 

803  (4) 
Answers to OddNumbered Exercises 

807  
Index of Applications 

1  (4) 
Index 

5  