Preface 

vii  

Fundamental Concepts of Algebra 


1  (52) 


2  (14) 


16  (11) 


27  (13) 


40  (13) 


50  (2) 


52  (1) 

Equations and Inequalities 


53  (72) 


54  (8) 


62  (12) 


74  (14) 


88  (6) 


94  (9) 


103  (9) 


112  (13) 


120  (3) 


123  (2) 


125  (106) 

Rectangular Coordinate Systems 


126  (6) 


132  (10) 


142  (15) 


157  (16) 


173  (12) 


185  (11) 


196  (9) 


205  (11) 


216  (15) 


222  (6) 


228  (3) 

Polynomial and Rational functions 


231  (54) 

Polynomial Functions of Degree Greater Than 2 


232  (8) 


240  (8) 


248  (10) 

Complex and Rational Zeros of Polynomials 


258  (7) 


265  (20) 


282  (2) 


284  (1) 

Exponential and Logarithmic functions 


285  (60) 


286  (10) 

The Natural Exponential Function 


296  (8) 


304  (16) 


320  (8) 

Exponential and Logarithmic Equations 


328  (17) 


340  (3) 


343  (2) 

The Trigonometric functions 


345  (94) 


346  (10) 

Trigonometric Functions of Angles 


356  (17) 

Trigonometric Functions of Real Numbers 


373  (18) 

Values of the Trigonometric Functions 


391  (8) 


399  (12) 

Additional Trigonometric Graphs 


411  (8) 


419  (20) 


431  (7) 


438  (1) 


439  (64) 

Verifying Trigonometric Identities 


440  (5) 


445  (12) 

The Addition and Subtraction Formulas 


457  (11) 


468  (10) 

ProducttoSum and SumtoProduct Formulas 


478  (5) 

The Inverse Trigonometric Functions 


483  (20) 


498  (3) 


501  (2) 

Applications of Trigonometry 


503  (60) 


504  (10) 


514  (9) 


523  (14) 


537  (10) 

Trigonometric Form for Complex Numbers 


547  (6) 

De Moivre's Theorem and nth Roots of Complex Numbers 


553  (10) 


558  (4) 


562  (1) 

Systems of Equations and Inequalities 


563  (90) 


564  (9) 

Systems of Linear Equations in Two Variables 


573  (9) 


582  (8) 


590  (9) 

Systems of Linear Equations in More Than Two Variables 


599  (14) 


613  (9) 


622  (6) 


628  (6) 

Properties of Determinants 


634  (8) 


642  (11) 


648  (3) 


651  (2) 

Sequences, Series, and Probability 


653  (78) 

Infinite Sequences and Summation Notation 


654  (10) 


664  (7) 


671  (9) 


680  (7) 


687  (9) 


696  (7) 

Distinguishable Permutations and Combinations 


703  (9) 


712  (19) 


725  (3) 


728  (3) 

Topics from Analytic Geometry 


731  (70) 


732  (9) 


741  (13) 


754  (12) 

Plane Curves and Parametric Equations 


766  (11) 


777  (13) 

Polar Equations of Conics 


790  (11) 


796  (2) 


798  (3) 
Appendixes 

801  (1) 

I Common Graphs and Their Equations 


802  (2) 

II A Summary of Graph Transformations 


804  (2) 

III Graphs of Trigonometric Functions and Their Inverses 


806  (2) 

IV Values of the Trigonometric Functions of Special Angles on a Unit Circle 


808  
Answers to Selected Exercises 

A1  
Index of Applications 

A75  
Index 

A80  