Contemporary College Algebra and Trigonometry A Graphing Approach (with CD-ROM and iLrn Tutorial)

by Hungerford, Thomas W.

• ISBN13: 9780534466657
• ISBN10: 0534466656
• Edition: 2nd
• Format: Hardcover
• Copyright: 2004-10-07
• Publisher: Cengage Learning

Summary

Succeed in math with CONTEMPORARY COLLEGE ALGEBRA AND TRIGONOMETRY: A GRAPHING APPROACH with accompanying technology! With a student-friendly writing style, thorough integration of the graphing calculator, and the use of real data in examples and exercises, this mathematics text provides you with the tools you need to get a good grade. Studying is made easy with tools such as iLrn and Personal Tutor with SMARTHINKING, that provide you with live online tutoring, Interactive Video Skillbuilder CD-ROM with MathCue, and the Book Companion Website featuring online graphing calculator resources.

Table of Contents

Algebra Review	1	(59)
The Real Number System	2	(11)
Special Topics: Decimal Representations of Real Numbers	13	(2)
Integral Exponents	15	(8)
Roots, Radicals, and Rational Exponents	23	(7)
Polynomials	30	(6)
Factoring	36	(6)
Fractional Expressions	42	(18)
Chapter 0 Review	54	(3)
Discovery Project 0	57	(3)
Graphs, Lines, and Technology	60	(60)
The Coordinate Plane	61	(12)
Graphs and Graphing Technology	73	(13)
Lines	86	(13)
Linear Models	99	(21)
Chapter 1 Review	111	(6)
Discovery Project 1	117	(3)
Equations and Inequalities	120	(71)
First-Degree Equations and Applications	121	(12)
Special Topics: Variation	133	(5)
Quadratic Equations and Applications	138	(14)
Solving Equations Graphically and Numerically	152	(8)
Polynomial, Radical, and Absolute Value Equations	160	(9)
Linear Inequalities	169	(8)
Polynomial and Rational Inequalities	177	(14)
Chapter 2 Review	186	(3)
Discovery Project 2	189	(2)
Functions and Graphs	191	(87)
Functions	192	(10)
Functional Notation	202	(10)
Graphs of Functions	212	(18)
Special Topics: Parametric Graphing	230	(2)
Graphs and Transformations	232	(10)
Special Topics: Symmetry	242	(5)
Operations on Functions	247	(7)
Rates of Change	254	(8)
Special Topics: Instantaneous Rates of Change	262	(16)
Chapter 3 Review	268	(7)
Discovery Project 3	275	(3)
Polynomial and Rational Functions	278	(89)
Quadratic Functions and Models	279	(13)
Polynomial Functions and Roots	292	(11)
Special Topics: Synthetic Division	303	(3)
Graphs of Polynomial Functions	306	(11)
Special Topics: Optimization Applications	317	(6)
Polynomial Models	323	(6)
Rational Functions	329	(15)
Special Topics: Other Rational Functions	344	(4)
Complex Numbers	348	(6)
Theory of Equations	354	(13)
Chapter 4 Review	360	(6)
Discovery Project 4	366	(1)
Exponential and Logarithmic Functions	367	(91)
Exponential Functions	368	(12)
Applications of Exponential Functions	380	(12)
Common and Natural Logarithmic Functions	392	(11)
Properties of Logarithms	403	(7)
Special Topics: Logarithmic Functions to Other Bases	410	(9)
Algebraic Solutions of Exponential and Logarithmic Equations	419	(10)
Exponential, Logarithmic, and Other Models	429	(10)
Inverse Functions	439	(19)
Chapter 5 Review	450	(6)
Discovery Project 5	456	(2)
Systems of Equations	458	(94)
Systems of Linear Equations in Two Variables	459	(15)
Special Topics: Systems of Nonlinear Equations	474	(6)
Large Systems of Linear Equations	480	(8)
Matrix Solution Methods	488	(13)
Matrix Methods for Square Systems	501	(14)
Special Topics: Matrix Algebra	515	(10)
Systems of Linear Inequalities	525	(10)
Introduction to Linear Programming	535	(17)
Chapter 6 Review	546	(5)
Discovery Project 6	551	(1)
Discrete Algebra	552	(81)
Sequences and Sums	553	(11)
Arithmetic Sequences	564	(8)
Geometric Sequences	572	(6)
Special Topics: Infinite Series	578	(5)
The Binomial Theorem	583	(8)
Permutations and Combinations	591	(9)
Special Topics: Distinguishable Permutations	600	(3)
Introduction to Probability	603	(14)
Mathematical Induction	617	(16)
Chapter 7 Review	627	(4)
Discovery Project 7	631	(2)
Analytic Geometry	633	(45)
Circles and Ellipses	635	(15)
Hyperbolas	650	(10)
Parabolas	660	(10)
Rotations and Second-Degree Equations	670	(8)
Chapter 8 Review	674	(3)
Discovery Project 8	677	(1)
Triangle Trigonometry	678	(55)
Trigonometric Functions of Acute Angles	679	(9)
Alternate: Trigonometric Functions of Angles	688	(2)
Applications of Right Triangle Trigonometry	690	(11)
The Law of Cosines	701	(13)
The Law of Sines	714	(10)
Special Topics: The Area of a Triangle	724	(9)
Chapter 9 Review	728	(3)
Discovery Project 9	731	(2)
Trigonometric Functions	733	(85)
Angles and Their Measurement	734	(7)
Special Topics: Arc Length and Angular Speed	741	(5)
The Sine, Cosine, and Tangent Functions	746	(9)
Alternate: The Sine, Cosine, and Tangent Functions	755	(7)
Algebra and Identities	762	(8)
Basic Graphs	770	(10)
Periodic Graphs and Simple Harmonic Motion	780	(15)
Special Topics: Other Trigonometric Graphs	795	(6)
Other Trigonometric Functions	801	(17)
Chapter 10 Review	810	(6)
Discovery Project 10	816	(2)
Trigonometric Identities and Equations	818	(52)
Basic Identities and Proofs	819	(9)
Addition and Substraction Identities	828	(7)
Other Identities	835	(8)
Inverse Trigonometric Functions	843	(10)
Trigonometric Equations	853	(8)
Special Topics: Other Solution Methods for Trigonometric Equations	861	(9)
Chapter 11 Review	865	(3)
Discovery Project 11	868	(2)
Applications of Trigonometry	870	(62)
Plane Curves and Parametric Equations	871	(14)
Polar Coordinates	885	(12)
The Complex Plane and Polar Form for Complex Numbers	897	(7)
DeMoivre's Theorem and nth Roots of Complex Numbers	904	(8)
Vectors in the Plane	912	(20)
Chapter 12 Review	927	(3)
Discovery Project 121	930	(2)
Appendix 1: Geometry Review	932	(12)
Appendix 2: Programs	944
Answers	1	(1)
Index of Applications	1	(4)
Subject Index	5