

1  (79) 


1  (5) 


6  (4) 

Solving Equations (Review and Preview) 


10  (8) 

Rectangular Coordinates. Visualizing Data 


18  (14) 

Graphs and Graphing Utilities 


32  (11) 


43  (14) 

Symmetry and Graphs. Circles 


57  (23) 

Equations and Inequalities 


80  (49) 

Quadratic Equations: Theory and Examples 


80  (11) 


91  (12) 


103  (10) 


113  (16) 


129  (84) 

The Definition of a Function 


129  (16) 


145  (14) 

Shapes of Graphs. Average Rate of Change 


159  (12) 


171  (11) 

Methods of Combining Functions. Iteration 


182  (12) 


194  (19) 

Polynomial and Rational Functions. Applications to Optimization 


213  (112) 


213  (16) 


229  (17) 

Using Iteration to Model Population Growth (Optional Section) 


246  (14) 

Setting Up Equations That Define Functions 


260  (12) 

Maximum and Minimum Problems 


272  (15) 


287  (17) 


304  (21) 

Exponential and Logarithmic Functions 


325  (98) 


327  (9) 

The Exponential Function y = ex 


336  (11) 


347  (14) 


361  (10) 

Equations and Inequalities with Logs and Exponents 


371  (11) 


382  (12) 

Exponential Growth and Decay 


394  (29) 

The Trigonometric Functions 


423  (72) 


423  (14) 

Trigonometric Functions of Angles 


437  (11) 

Evaluating the Trigonometric Functions 


448  (12) 

Algebra and the Trigonometric Functions 


460  (10) 

RightTriangle Trigonometry 


470  (25) 

Graphs of the Trigonometric Functions 


495  (68) 

Trigonometric Functions of Real Numbers 


496  (12) 

Graphs of the Sine and Cosine Functions 


508  (17) 

Graphs of y = A sin(BxC) and y = A cos(BxC) 


525  (16) 


541  (6) 

Graphs of the Tangent and the Reciprocal Functions 


547  (16) 


563  (70) 


563  (12) 

The DoubleAngle Formulas 


575  (10) 

The ProducttoSum and SumtoProduct Formulas 


585  (8) 


593  (14) 

The Inverse Trigonometric Functions 


607  (26) 

Additional Topics in Trigonometry 


633  (96) 

RightTriangle Applications 


633  (18) 

The Law of Sines and the Law of Cosines 


651  (16) 

Vectors in the Plane: A Geometric Approach 


667  (10) 

Vectors in the Plane: An Algebraic Approach 


677  (13) 


690  (10) 

Introduction to Polar Coordinates 


700  (11) 

Curves in Polar Coordinates 


711  (18) 


729  (88) 

Systems of Two Linear Equations in Two Unknowns 


729  (14) 


743  (14) 


757  (14) 

The Inverse of a Square Matrix 


771  (13) 

Determinants and Cramer's Rule 


784  (13) 

Nonlinear Systems of Equations 


797  (8) 


805  (12) 


817  (81) 


817  (8) 


825  (14) 

Tangents to Parabolas (Optional Section) 


839  (2) 


841  (15) 


856  (11) 

The FocusDirectrix Property of Conics 


867  (8) 

The Conics in Polar Coordinates 


875  (5) 


880  (18) 

Roots of Polynomial Equations 


898  (75) 

The Complex Number System 


899  (7) 


906  (7) 

The Remainder Theorem and the Factor Theorem 


913  (9) 

The Fundamental Theorem of Algebra 


922  (12) 

Rational and Irrational Roots 


934  (8) 

Conjugate Roots and Descartes's Rule of Signs 


942  (7) 

Introduction to Partial Fractions 


949  (7) 

More About Partial Fractions 


956  (17) 

Additional Topics in Algebra 


973  


973  (6) 


979  (10) 

Introduction to Sequences and Series 


989  (11) 

Arithmetic Sequences and Series 


1000  (10) 

Geometric Sequences and Series 


1010  (5) 


1015  


1  (7) 


1  (3) 

Properties of the Real Numbers 


4  (3) 


7  (1) 


8  (29) 

Review of Integer Exponents 


8  (6) 


14  (7) 

Review of Rational Exponents 


21  (4) 


25  (6) 

Review of Fractional Expressions 


31  (6) 
Answers 

37  
Index 

1  