



1  (10) 

Cartesian Coordinate System 


11  (8) 

Linear Equations and Inequalities 


19  (7) 


26  (12) 

Solving Equations Graphically, Numerically and Algebraically 


38  (10) 

Solving Inequalities Algebraically and Graphically 


48  (13) 


55  (2) 


57  (4) 



Modeling and Equation Solving 


61  (17) 

Functions and Their Properties 


78  (21) 


99  (8) 

Building Functions from Functions 


107  (18) 

Graphical Transformations 


125  (10) 


135  (20) 


147  (1) 


148  (2) 


150  (3) 


153  (2) 

Polynomial, Power and Rational Functions 



Linear and Quadratic Functions with Modeling 


155  (19) 

Power Functions with Modeling 


174  (12) 

Polynomial Functions of Higher Degree with Modeling 


186  (13) 

Real Zeros of Polynomial Functions 


199  (13) 


212  (8) 

Complex Zeros and the Fundamental Theorem of Algebra 


220  (7) 

Rational Functions and Equations 


227  (12) 

Solving Inequalities in One Variable 


239  (20) 


249  (1) 


249  (4) 


253  (4) 


257  (2) 

Exponential, Logistic, and Logarithmic Functions 



Exponential and Logistic Functions 


259  (13) 

Exponential and Logistic Modeling 


272  (10) 

Logarithmic Functions and Their Graphs 


282  (11) 

Properties of Logarithmic Functions 


293  (9) 

Equation Solving and Modeling 


302  (13) 


315  (22) 


327  (4) 


331  (4) 


335  (2) 



Angles and Their Measures 


337  (8) 

Trigonometric functions of Acute Angles 


345  (10) 

Trigonometry Extended: The Circular Functions 


355  (13) 

Graphs of Sine and Cosine: Sinusoids 


368  (11) 

Graphs of Tangent, Cotangent, Secant, and Cosecant 


379  (8) 

Graphs of Composite Trigonometric Functions 


387  (7) 

Inverse Trigonometric Functions 


394  (10) 

Solving Problems with Trigonometry 


404  (19) 


416  (2) 


418  (3) 


421  (2) 




423  (9) 

Proving Trigonometric Identities 


432  (7) 

Sum and Difference Identities 


439  (7) 

MultipleAngle Identities 


446  (7) 


453  (8) 


461  (18) 


471  (1) 


471  (2) 


473  (4) 


477  (2) 

Vectors, Parametric Equations, and Polar Equations 




479  (11) 


490  (7) 

Parametric Equations and Motion 


497  (13) 


510  (7) 

Graphs of Polar Equations 


517  (8) 

De Moivre's Theorem and nth Roots 


525  (18) 


534  (3) 


537  (3) 


540  (3) 



Solving Systems of Two Equations 


543  (9) 


552  (15) 

Multivariate Linear Systems and Row Operations 


567  (13) 


580  (7) 

Systems of Inequalities in Two Variables 


587  (16) 


595  (1) 


595  (2) 


597  (4) 


601  (2) 

Analytic Geometry in Two and Three Dimensions 



Conic Sections and Parabolas 


603  (11) 


614  (10) 


624  (11) 

Translations and Rotations of Axes 


635  (7) 

Polar Equations of Conics 


642  (9) 

Three Dimensional Cartesian Coordinate System 


651  (18) 


661  (3) 


664  (2) 


666  (3) 




669  (9) 


678  (5) 


683  (13) 


696  (15) 


711  (6) 

Statistics and Data (Graphical) 


717  (13) 

Statistics and Data (Algebraic) 


730  (23) 


744  (1) 


744  (3) 


747  (4) 


751  (2) 

An Introduction to Calculus: Limits, Derivatives, and Integrals 



Limits and Motion: The Tangent Problem 


753  (10) 

Limits and Motion: The Area Problem 


763  (8) 


771  (13) 

Numerical Derivatives and Integrals 


784  (13) 


791  (3) 


794  (2) 


796  (1) 
Appendix A: Algebra Review 

797  (18) 

A.1 Radicals and Rational Exponents 


797  (5) 

A.2 Polynomials and Factoring 


802  (6) 

A.3 Fractional Expressions 


808  (7) 
Glossary 

815  (16) 
Selected Answers 

831  (114) 
Applications Index 

945  (4) 
Index 

949  