Precalculus Functions and Graphs (with CD-ROM and iLrn™ Tutorial)

by Swokowski, Earl; Cole, Jeffery

• ISBN13: 9780534999902
• ISBN10: 0534999905
• Additional ISBN(s): 9780534396435, 9780534435745, 9780840068576
• Edition: 10th
• Format: Hardcover
• Copyright: 2004-12-03
• Publisher: Brooks Cole
• More Book Details
• Purchase Benefits

Summary

This latest edition in the highly respected Swokowski/Cole precalculus series retains the elements that have made it so popular with instructors and students alike: its exposition is clear, the time-tested exercise sets feature a variety of applications, its uncluttered layout is appealing, and the difficulty level of problems is appropriate and consistent. Mathematically sound, PRECALCULUS: FUNCTIONS AND GRAPHS, Tenth Edition, effectively prepares students for further courses in mathematics through its excellent, time-tested problem sets. This edition has been improved in many respects including the addition of technology inserts with specific keystrokes for the TI-83 Plus and the TI-86, ideal for students who are working with a calculator for the first time. The design of the text makes the technology inserts easily identifiable, so if a professor prefers to skip these sections it is simple to do so.

Table of Contents

List of Graphing Calculator Topics	x
Preface	xii
Topics from Algebra	1	(92)
Real Numbers	2	(17)
Exponents and Radicals	19	(12)
Algebraic Expressions	31	(17)
Equations	48	(19)
Complex Numbers	67	(8)
Inequalities	75	(18)
Chapter 1 Review Exercises	87	(3)
Chapter 1 Discussion Exercises	90	(3)
Graphs and Functions	93	(114)
Rectangular Coordinate Systems	94	(9)
Graphs of Equations	103	(16)
Lines	119	(19)
Definition of Function	138	(18)
Graphs of Functions	156	(17)
Quadratic Functions	173	(16)
Operations on Functions	189	(18)
Chapter 2 Review Exercises	199	(6)
Chapter 2 Discussion Exercises	205	(2)
Polynomial and Rational Functions	207	(72)
Polynomial Functions of Degree Greater Than 2	208	(11)
Properties of Division	219	(8)
Zeros of Polynomials	227	(14)
Complex and Rational Zeros of Polynomials	241	(8)
Rational Functions	249	(18)
Variation	267	(12)
Chapter 3 Review Exercises	275	(2)
Chapter 3 Discussion Exercises	277	(2)
Inverse, Exponential, and Logarithmic Functions	279	(80)
Inverse Functions	280	(11)
Exponential Functions	291	(13)
The Natural Exponential Function	304	(11)
Logarithmic Functions	315	(15)
Properties of Logarithms	330	(8)
Exponential and Logarithmic Equations	338	(21)
Chapter 4 Review Exercises	352	(3)
Chapter 4 Discussion Exercises	355	(4)
The Trigonometric Functions	359	(102)
Angles	360	(11)
Trigonometric Functions of Angles	371	(18)
Trigonometric Functions of Real Numbers	389	(19)
Values of the Trigonometric Functions	408	(8)
Trigonometric Graphs	416	(15)
Additional Trigonometric Graphs	431	(8)
Applied Problems	439	(22)
Chapter 5 Review Exercises	452	(7)
Chapter 5 Discussion Exercises	459	(2)
Analytic Trigonometry	461	(68)
Verifying Trigonometric Identities	462	(6)
Trigonometric Equations	468	(15)
The Addition and Subtraction Formulas	483	(11)
Multiple-Angle Formulas	494	(10)
Product-to-Sum and Sum-to-Product Formulas	504	(5)
The Inverse Trigonometric Functions	509	(20)
Chapter 6 Review Exercises	525	(3)
Chapter 6 Discussion Exercises	528	(1)
Applications of Trigonometry	529	(66)
The Law of Sines	530	(10)
The Law of Cosines	540	(9)
Vectors	549	(16)
The Dot Product	565	(11)
Trigonometric Form for Complex Numbers	576	(7)
De Moivre's Theorem and nth Roots of Complex Numbers	583	(12)
Chapter 7 Review Exercises	589	(4)
Chapter 7 Discussion Exercises	593	(2)
Systems of Equations and Inequalities	595	(96)
Systems of Equations	596	(10)
Systems of Linear Equations in Two Variables	606	(8)
Systems of Inequalities	614	(10)
Linear Programming	624	(8)
Systems of Linear Equations in More Than Two Variables	632	(16)
The Algebra of Matrices	648	(10)
The Inverse of a Matrix	658	(6)
Determinants	664	(7)
Properties of Determinants	671	(8)
Partial Fractions	679	(12)
Chapter 8 Review Exercises	685	(3)
Chapter 8 Discussion Exercises	688	(3)
Sequences, Series, and Probability	691	(84)
Infinite Sequences and Summation Notation	692	(16)
Arithmetic Sequences	708	(7)
Geometric Sequences	715	(9)
Mathematical Induction	724	(7)
The Binomial Theorem	731	(9)
Permutations	740	(7)
Distinguishable Permutations and Combinations	747	(9)
Probability	756	(19)
Chapter 9 Review Exercises	770	(3)
Chapter 9 Discussion Exercises	773	(2)
Topics from Analytic Geometry	775	(80)
Parabolas	776	(10)
Ellipses	786	(14)
Hyperbolas	800	(12)
Plane Curves and Parametric Equations	812	(15)
Polar Coordinates	827	(17)
Polar Equations of Conies	844	(11)
Chapter 10 Review Exercises	850	(2)
Chapter 10 Discussion Exercises	852	(3)
Appendixes	855
I Common Graphs and Their Equations	856	(2)
II A Summary of Graph Transformations	858	(2)
III Graphs of Trigonometric Functions and Their Inverses	860	(2)
IV Values of the Trigonometric Functions of Special Angles on a Unit Circle	862
Answers to Selected Exercises	1	(88)
Index of Applications	89	(6)
Index	95