Precalculus

by Dugopolski, Mark

• ISBN13: 9780321357793
• ISBN10: 0321357795
• Edition: 4th
• Format: Hardcover
• Copyright: 2007-01-01
• Publisher: Addison Wesley

Summary

Providing Strategies for Success: This edition provides numerous strategies for success for both students and instructors. Instructors will find the book easier to use with such additions as an Annotated Instructor's Edition, instructor notes within the exercise sets, and an Insider's Guide. Students will find success through features including highlights, exercise hints, art annotations, critical thinking exercises, and pop quizzes, as well as procedures, strategies, and summaries.

Table of Contents

Preface	ix
Supplements List	xiii
Function Gallery	xv
Prerequisites
Real Numbers and Their Properties	2	(73)
Integral Exponents and Scientific Notation	75
Rational Exponents and Radicals	26	(13)
Complex Numbers	39	(6)
Polynomials	45	(12)
Factoring Polynomials	57	(11)
Rational Expressions	68	(20)
Highlights	80	(2)
Review Exercises	82	(3)
Test	85	(3)
Equations, Inequalities, and Modeling
Equations in One Variable	88	(11)
Constructing Models to Solve Problems	99	(12)
Equations and Graphs in Two Variables	111	(614)
Linear Equations in Two Variables	725	(14)
Scatter Diagrams and Curve Fitting	739
Quadratic Equations	145	(17)
Linear and Absolute Value Inequalities	162	(23)
Highlights	175	(2)
Review Exercises	177	(4)
Test	181	(2)
Tying it all Together	183	(2)
Functions and Graphs
Functions	185	(14)
Graphs of Relations and Functions	199	(13)
Families of Functions, Transformations, and Symmetry	212	(14)
Operations with Functions	226	(12)
Inverse Functions	238	(14)
Constructing Functions with Variation	252	(16)
Highlights	260	(2)
Review Exercises	262	(3)
Test	265	(1)
Tying it all Together	266	(2)
Polynomial and Rational Functions
Quadratic Functions and Inequalities	268	(13)
Zeros of Polynomial Functions	281	(12)
The Theory of Equations	293	(10)
Miscellaneous Equations	303	(13)
Graphs of Polynomial Functions	316	(14)
Rational Functions and Inequalities	330	(24)
Highlights	346	(2)
Review Exercises	348	(3)
Test	351	(1)
Tying it all Together	352	(2)
Exponential and Logarithmic Functions
Exponential Functions and Their Applications	354	(15)
Logarithmic Functions and Their Applications	369	(14)
Rules-of Logarithms	383	(13)
More Equations and Applications	396	(21)
Highlights	409	(1)
Review Exercises	410	(3)
Test	413	(1)
Tying it all Together	414	(3)
The Trigonometric Functions
Angles and Their Measurements	417	(17)
The Sine and Cosine Functions	434	(12)
The Graphs of the Sine and Cosine Functions	446	(18)
The Other Trigonometric Functions and Their Graphs	464	(13)
The Inverse Trigonometric Functions	477	(11)
Right Triangle Trigonometry	488	(21)
Highlights	502	(2)
Review Exercises	504	(3)
Test	507	(1)
Tying il all Together	507	(2)
Trigonometric Identities and Conditional Equations
Basic Identities	509	(10)
Verifying Identities	519	(8)
Sum and Difference Identities	527	(10)
Double-Angle and Half-Angle Identities	537	(9)
Product and Sum Identities	546	(10)
Conditional Trigonometric Equations	556	(21)
Highlights	570	(2)
Review Exercises	572	(2)
Test	574	(1)
Tying it all Together	575	(2)
Applications of Trigonometry
The Law of Sines	577	(12)
The Law of Cosines	589	(11)
Vectors	600	(75)
Trigonometric Form of Complex Numbers	675
Powers and Roots of Complex Numbers	623	(6)
Polar Equations	629	(11)
Parametric Equations	640	(15)
Highlights	646	(2)
Review Exercises	648	(3)
Test	651	(1)
Tying it all Together	652	(3)
Systems of Equations and Inequalities
Systems of Linear Equations in Two Variables	655	(12)
Systems of Linear Equations in Three Variables	667	(12)
Nonlinear Systems of Equations	679	(9)
Partial Fractions	688	(9)
Inequalities and Systems of Inequalities in Two Variables	697	(9)
The Linear Programming Model	706	(14)
Highlights	713	(2)
Review Exercises	715	(2)
Test	717	(1)
Tying it all Together	718	(2)
Matrices and Determinants
Solving Linear Systems Using Matrices	720	(15)
Operations with Matrices	735	(8)
Multiplication of Matrices	743	(9)
Inverses of Matrices	752	(12)
Solution of Linear Systems in Two Variables Using Determinants	764	(7)
Solution of Linear Systems in Three Variables Using Determinants	771	(15)
Highlights	780	(2)
Review Exercises	782	(1)
Test	783	(1)
Tying it all Together	784	(2)
The Conic Sections
The Parabola	786	(11)
The Ellipse and the Circle	797	(14)
The Hyperbola	811	(20)
Highlights	825	(1)
Review Exercises	826	(2)
Test	828	(1)
Tying it all Together	829	(2)
Sequences, Series, and Probability
Sequences	831	(10)
Series	841	(9)
Geometric Sequences and Series	850	(13)
Counting and Permutations	863	(7)
Combinations, Labeling, and the Binomial Theorem	870	(10)
Probability	880	(12)
Mathematical Induction	892
Highlights	898	(2)
Review Exercises	900	(3)
Test	903
Appendix: Solutions to Try This Exercises	1	(1)
Answers to Selected Exercises	1	(1)
Credits	1	(1)
Index of Applications	1	(8)
Index	9