Precalculus A Problems-Oriented Approach (with CD-ROM and iLrn™ Tutorial)

by Cohen, David

• ISBN13: 9780534402129
• ISBN10: 0534402127
• Edition: 6th
• Format: Hardcover
• Copyright: 2004-12-14
• Publisher: Cengage Learning

Summary

Get a good grade in your precalculus course with Cohen's PRECALCULUS: A PROBLEMS-ORIENTED APPROACH and it's accompanying CD-ROM! Written in a clear, student-friendly style and providing a graphical perspective so you can develop a visual understanding of college algebra and trigonometry, this text provides you with the tools you need to be successful in this course. Preparing for exams is made easy with iLrn, an online tutorial resource, that gives you access to text-specific tutorials, step-by-step explanations, exercises, quizzes, and one-on-one online help from a tutor. Examples, exercises, applications, and real-life data found throughout the text will help you become a successful mathematics student!

Table of Contents

Fundamentals	1	(79)
Sets of Real Numbers	1	(5)
Absolute Value	6	(4)
Solving Equations (Review and Preview)	10	(8)
Rectangular Coordinates. Visualizing Data	18	(14)
Graphs and Graphing Utilities	32	(11)
Equations of Lines	43	(14)
Symmetry and Graphs, Circles	57	(23)
Equations and Inequalities	80	(49)
Quadratic Equations: Theory and Examples	80	(11)
Other Types of Equations	91	(12)
Inequalities	103	(10)
More on Inequalities	113	(16)
Functions	129	(84)
The Definition of a Function	129	(16)
The Graph of a Function	145	(14)
Shapes of Graphs. Average Rate of Change	159	(12)
Techniques in Graphing	171	(11)
Methods of Combining Functions. Iteration	182	(12)
Inverse Functions	194	(19)
Polynomial and Rational Functions. Applications to Optimization	213	(112)
Linear Functions	213	(16)
Quadratic Functions	229	(17)
Using Iteration to Model Population Growth (Optional Section)	246	(14)
Setting Up Equations That Define Functions	260	(12)
Maximum and Minimum Problems	272	(15)
Polynomial Functions	287	(17)
Rational Functions	304	(21)
Exponential and Logarithmic Functions	325	(98)
Exponential Functions	327	(9)
The Exponential Function y = ex	336	(11)
Logarithmic Functions	347	(14)
Properties of Logarithms	361	(10)
Equations and Inequalities with Logs and Exponents	371	(11)
Compound Interest	382	(12)
Exponential Growth and Decay	394	(29)
Trigonometric Functions of Angles	423	(64)
Trigonometric Functions of Acute Angles	423	(14)
Algebra and the Trigonometric Functions	437	(8)
Right-Triangle Applications	445	(14)
Trigonometric Functions of Angles	459	(13)
Trigonometric Identities	472	(15)
Trigonometric Functions of Real Numbers	487	(90)
Radian Measure	487	(9)
Radian Measure and Geometry	496	(10)
Trigonometric Functions of Real Numbers	506	(15)
Graphs of the Sine and Cosine Functions	521	(17)
Graphs of y = A sin(Bx -- C) and y = A cos(Bx -- C)	538	(16)
Simple Harmonic Motion	554	(6)
Graphs of the Tangent and the Reciprocal Functions	560	(17)
Analytical Trigonometry	577	(68)
The Addition Formulas	577	(12)
The Double-Angle Formulas	589	(10)
The Product-to-Sum and Sum-to-Product Formulas	599	(8)
Trigonometric Equations	607	(12)
The Inverse Trigonometric Functions	619	(26)
Additional Topics in Trigonometry	645	(76)
The Law of Sines and the Law of Cosines	645	(16)
Vectors in the Plane: A Geometric Approach	661	(10)
Vectors in the Plane: An Algebraic Approach	671	(13)
Parametric Equations	684	(10)
Introduction to Polar Coordinates	694	(11)
Curves in Polar Coordinates	705	(16)
Systems of Equations	721	(88)
Systems of Two Linear Equations in Two Unknowns	721	(14)
Gaussian Elimination	735	(14)
Matrices	749	(14)
The Inverse of a Square Matrix	763	(13)
Determinants and Cramer's Rule	776	(13)
Nonlinear Systems of Equations	789	(8)
Systems of Inequalities	797	(12)
The Conic Sections	809	(81)
The Basic Equations	809	(8)
The Parabola	817	(14)
Tangents to Parabolas (Optional Section)	831	(2)
The Ellipse	833	(15)
The Hyperbola	848	(11)
The Focus--Directrix Property of Conics	859	(8)
The Conics in Polar Coordinates	867	(5)
Rotation of Axes	872	(18)
Roots of Polynomial Equations	890	(75)
The Complex Number System	891	(7)
Division of Polynomials	898	(7)
The Remainder Theorem and the Factor Theorem	905	(9)
The Fundamental Theorem of Algebra	914	(12)
Rational and Irrational Roots	926	(8)
Conjugate Roots and Descartes's Rule of Signs	934	(7)
Introduction to Partial Fractions	941	(7)
More About Partial Fractions	948	(17)
Additional Topics in Algebra	965
Mathematical Induction	965	(6)
The Binomial Theorem	971	(10)
Introduction to Sequences and Series	981	(10)
Arithmetic Sequences and Series	991	(11)
Geometric Sequences and Series	1002	(5)
DeMoivre's Theorem	1007
A Appendix	1	(7)
A.1 Significant Digits	1	(3)
A.2 Properties of the Real Numbers	4	(3)
A.3 √2 is Irrational	7	(1)
B Appendix	8	(29)
B.1 Review of Integer Exponents	8	(6)
B.2 Review of nth Roots	14	(7)
B.3 Review of Rational Exponents	21	(4)
B.4 Review of Factoring	25	(6)
B.5 Review of Fractional Expressions	31	(6)
Answers	37
Index	1