Contemporary College Algebra and Trigonometry: A Graphing Approach

by Hungerford, Thomas W.

• ISBN13: 9780030299889
• ISBN10: 0030299888
• Edition: 1st
• Format: Hardcover
• Copyright: 2000-08-01
• Publisher: Brooks Cole

Table of Contents

Preface	ix
To the Instructor	xviii
To the Student	xxii
Algebra Review	1	(58)
The Real Number System	2	(14)
Excursion: Decimal Representation of Real Numbers	13	(3)
Integral Exponents	16	(9)
Roots, Radicals, and Rational Exponents	25	(7)
Polynomials	32	(9)
Rational Expressions	41	(18)
Review	51	(8)
Graphs and Technology	59	(70)
The Coordinate Plane	60	(11)
Graphs and Graphing Calculators	71	(13)
Solving Equations Graphically and Numerically	84	(7)
Lines	91	(12)
Linear Models	103	(26)
Review	118	(11)
Equations and Inequalities	129	(56)
First-Degree Equations and Applications	130	(11)
Quadratic Equations and Applications	141	(14)
Other Equations and Applications	155	(8)
Linear Inequalities	163	(8)
Polynomial and Rational Inequalities	171	(14)
Review	180	(5)
Functions and Graphs	185	(80)
Functions	186	(8)
Functional Notation	194	(10)
Graphs of Functions	204	(15)
Excusion: Parametric Graphing	217	(2)
Graphs and Transformations	219	(16)
Excusion: Symmetry	229	(6)
Operations on Functions	235	(7)
Average Rates of Change	242	(23)
Excursion: Instantaneous Rates of Change	250	(5)
Review	255	(10)
Polynomial and Rational Functions	265	(80)
Quadratic Functions and Models	266	(11)
Roots of Polynomials	277	(14)
Excursion: Synthetic Division	287	(4)
Graphs of Polynomial Functions	291	(12)
Excursion: Optimization Applications	300	(3)
Polynomial Models	303	(6)
Rational Functions	309	(16)
Excursion: Other Rational Functions	321	(4)
Complex Numbers	325	(6)
The Fundamental Theorem of Algebra	331	(14)
Review	338	(7)
Exponential and Logarithmic Functions	345	(84)
Exponential Functions	346	(11)
Applications of Exponential Functions	357	(11)
Common and Natural Logarithmic Functions	368	(10)
Properties of Logarithms	378	(14)
Excursion: Logarithms to Other Bases	385	(7)
Algebraic Solutions of Exponential and Logarithmic Equations	392	(7)
Exponential, Logarithmic, and Other Models	399	(11)
Inverse Functions	410	(19)
Review	420	(9)
Systems of Equations and Inequalities	429	(84)
Systems of Linear Equations in Two Variables	430	(15)
Excursion: Systems of Nonlinear Equations	441	(4)
Large Systems of Linear Equations	445	(8)
Matrix Solution Methods	453	(11)
Matrix Methods for Square Systems	464	(23)
Excursion: Matrix Algebra	477	(10)
Systems of Linear Inequalities	487	(8)
Introduction to Linear Programming	495	(18)
Review	505	(8)
Discrete Algebra	513	(70)
Sequences and Sums	514	(9)
Arithmetic Sequences	523	(5)
Geometric Sequences	528	(10)
Excursion: Infinite Series	533	(5)
The Binomial Theorem	538	(7)
Permutations and Combinations	545	(11)
Excursion: Distinguishable Permutations	554	(2)
Introduction to Probability	556	(12)
Mathematical Induction	568	(15)
Review	577	(6)
Analytic Geometry	583	(42)
Circles and Ellipses	584	(14)
Hyperbolas	598	(10)
Parabolas	608	(17)
Excursion: Rotations and Second-Degree Equations	616	(4)
Review	620	(5)
Triangle Trigonometry	625	(48)
Trigonometric Functions of Acute Angles	626	(8)
Applications of Right Triangle Trigonometry	634	(10)
The Law of Cosines	644	(11)
The Law of Sines	655	(18)
Excursion: The Area of a Triangle	664	(3)
Review	667	(6)
Trigonometric Functions	673	(84)
Angles and Their Measurement	674	(11)
Excursion: Arc Length and Angular Speed	681	(4)
The Sine, Cosine, and Tangent Functions	685	(7)
The Sine, Cosine, and Tangent Functions*	692	(6)
Algebra and Identities	698	(9)
Basic Graphs	707	(10)
Periodic Graphs and Simple Harmonic Motion	717	(19)
Excursion: Other Trigonometric Graphs	730	(6)
Other Trigonometric Functions	736	(21)
Excursion: Trigonometric Functions of Angles'	744	(3)
Review	747	(10)
Trigonometric Identities and Equations	757	(50)
Basic Identities and Proofs	758	(9)
Addition and Subtraction Identities	767	(8)
Other Identities	775	(6)
Trigonometric Equations	781	(11)
Excursion: Other Solution Methods for Trigonometric Equations	789	(3)
Inverse Trigonometric Functions	792	(15)
Review	800	(7)
Applications of Trigonometry	807	(56)
Plane Curves and Parametric Equations	808	(11)
Polar Coordinates	819	(9)
The Complex Plane and Polar Form for Complex Numbers	828	(6)
DeMoivre's Theorem and nth Roots of Complex Numbers	834	(8)
Vectors in the Plane	842	(21)
Review	857	(6)
Geometry Review Appendix	863	(6)
Program Appendix	869
Answers to Odd-Numbered Exercises	A-1
Index of Applications	I-1
Index	I-3