

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) 

Trigonometric Functions of Angles 


423  (64) 

Trigonometric Functions of Acute Angles 


423  (14) 

Algebra and the Trigonometric Functions 


437  (8) 

RightTriangle Applications 


445  (14) 

Trigonometric Functions of Angles 


459  (13) 


472  (15) 

Trigonometric Functions of Real Numbers 


487  (90) 


487  (9) 

Radian Measure and Geometry 


496  (10) 

Trigonometric Functions of Real Numbers 


506  (15) 

Graphs of the Sine and Cosine Functions 


521  (17) 

Graphs of y = A sin(Bx  C) and y = A cos(Bx  C) 


538  (16) 


554  (6) 

Graphs of the Tangent and the Reciprocal Functions 


560  (17) 


577  (68) 


577  (12) 

The DoubleAngle Formulas 


589  (10) 

The ProducttoSum and SumtoProduct Formulas 


599  (8) 


607  (12) 

The Inverse Trigonometric Functions 


619  (26) 

Additional Topics in Trigonometry 


645  (76) 

The Law of Sines and the Law of Cosines 


645  (16) 

Vectors in the Plane: A Geometric Approach 


661  (10) 

Vectors in the Plane: An Algebraic Approach 


671  (13) 


684  (10) 

Introduction to Polar Coordinates 


694  (11) 

Curves in Polar Coordinates 


705  (16) 


721  (88) 

Systems of Two Linear Equations in Two Unknowns 


721  (14) 


735  (14) 


749  (14) 

The Inverse of a Square Matrix 


763  (13) 

Determinants and Cramer's Rule 


776  (13) 

Nonlinear Systems of Equations 


789  (8) 


797  (12) 


809  (81) 


809  (8) 


817  (14) 

Tangents to Parabolas (Optional Section) 


831  (2) 


833  (15) 


848  (11) 

The FocusDirectrix Property of Conics 


859  (8) 

The Conics in Polar Coordinates 


867  (5) 


872  (18) 

Roots of Polynomial Equations 


890  (75) 

The Complex Number System 


891  (7) 


898  (7) 

The Remainder Theorem and the Factor Theorem 


905  (9) 

The Fundamental Theorem of Algebra 


914  (12) 

Rational and Irrational Roots 


926  (8) 

Conjugate Roots and Descartes's Rule of Signs 


934  (7) 

Introduction to Partial Fractions 


941  (7) 

More About Partial Fractions 


948  (17) 

Additional Topics in Algebra 


965  


965  (6) 


971  (10) 

Introduction to Sequences and Series 


981  (10) 

Arithmetic Sequences and Series 


991  (11) 

Geometric Sequences and Series 


1002  (5) 


1007  


1  (7) 


1  (3) 

A.2 Properties of the Real Numbers 


4  (3) 


7  (1) 


8  (29) 

B.1 Review of Integer Exponents 


8  (6) 


14  (7) 

B.3 Review of Rational Exponents 


21  (4) 


25  (6) 

B.5 Review of Fractional Expressions 


31  (6) 
Answers 

37  
Index 

1  