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Algebra with Trigonometry for College Students,9780030223143
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Algebra with Trigonometry for College Students

by
Edition:
4th
ISBN13:

9780030223143

ISBN10:
0030223148
Format:
Paperback
Pub. Date:
1/20/1998
Publisher(s):
Brooks Cole
List Price: $96.95

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This is the 4th edition with a publication date of 1/20/1998.
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Summary

Pat McKeague's passion and dedication to teaching mathematics and his ongoing participation in mathematical organizations provides the most current and reliable textbook for both instructors and students. Pat McKeague's main goal is to write a textbook that is user-friendly. Students are able to develop a thorough understanding of the concepts essential to their success in mathematics because of his attention to detail, exceptional writing style, and organization of mathematical concepts. The Sixth Edition of Algebra with Trigonometry for College Students is another extraordinary textbook with exceptional clarity and accessibility.

Table of Contents

Preface to the Instructor ix(6)
Preface to the Student xv
1 Basic Definitions and Properties
1(72)
1.1 Fundamental Definitions and Notation
3(11)
1.2 Properties of Real Numbers
14(10)
1.3 Arithmetic with Real Numbers
24(8)
1.4 Exponents and Scientific Notation
32(9)
1.5 Polynomials: Sums, Differences, and Products
41(10)
1.6 Factoring
51(8)
1.7 Special Factoring
59(7)
Review for Chapter 1
66(7)
2 Equations and Inequalities in One Variable
73(62)
2.1 Linear and Quadratic Equations in One Variable
75(11)
2.2 Formulas
86(9)
2.3 Applications
95(13)
2.4 Linear Inequalities in One Variable
108(9)
2.5 Equations with Absolute Value
117(5)
2.6 Inequalities Involving Absolute Value
122(6)
Review for Chapter 2
128(7)
3 Equations and Inequalities in Two Variables
135(80)
3.1 Paired Data and the Rectangular Coordinate System
136(15)
3.2 The Slope of a Line
151(9)
3.3 The Equation of a Line
160(10)
3.4 Linear Inequalities in Two Variables
170(8)
3.5 Introduction to Functions
178(10)
3.6 Function Notation
188(10)
3.7 Variation
198(10)
Review for Chapter 3
208(7)
4 Rational Expressions
215(68)
4.1 Basic Properties and Reducing to Lowest Terms
217(12)
4.2 Division of Polynomials
229(8)
4.3 Multiplication and Division with Rational Expressions
237(7)
4.4 Addition and Subtraction with Rational Expressions
244(9)
4.5 Complex Fractions
253(5)
4.6 Equations Involving Rational Expressions
258(8)
4.7 Applications
266(10)
Review for Chapter 4
276(7)
5 Rational Exponents and Roots
283(58)
5.1 Rational Exponents
285(10)
5.2 More Expressions Involving Rational Exponents
295(5)
5.3 Simplified Form for Radicals
300(10)
5.4 Addition and Subtraction with Radical Expressions
310(4)
5.5 Multiplication and Division with Radical Expressions
314(5)
5.6 Equations with Radicals
319(8)
5.7 Complex Numbers
327(7)
Review for Chapter 5
334(7)
6 Quadratic Equations
341(64)
6.1 Completing the Square
342(9)
6.2 The Quadratic Formula
351(10)
6.3 Additional Items Involving Solutions to Equations
361(9)
6.4 Equations That Are Quadratic in Form
370(8)
6.5 Graphing Parabolas
378(11)
6.6 Quadratic Inequalities
389(11)
Review for Chapter 6
400(5)
7 Systems of Equations
405(48)
7.1 Systems of Linear Equations in Two Variables
406(10)
7.2 Systems of Linear Equations in Three Variables
416(6)
7.3 Introduction to Matrices and Determinants
422(9)
7.4 Cramer's Rule
431(5)
7.5 Applications
436(10)
Review for Chapter 7
446(7)
8 Exponential and Logarithmic Functions
453(38)
8.1 Exponential Functions and the Inverse of a Function
454(9)
8.2 Logarithms Are Exponents
463(6)
8.3 Properties of Logarithms
469(4)
8.4 Common Logarithms and Natural Logarithms
473(6)
8.5 Exponential Equations and Change of Base
479(7)
Review for Chapter 8
486(5)
9 Sequences and Series
491(36)
9.1 Sequences
492(6)
9.2 Series
498(5)
9.3 Arithmetic Sequences
503(4)
9.4 Geometric Sequences
507(6)
9.5 The Binomial Expansion
513(8)
Review for Chapter 9
521(6)
10 Conic Sections
527(30)
10.1 The Circle
528(6)
10.2 Ellipses and Hyperbolas
534(10)
10.3 Second-Degree Inequalities and Nonlinear Systems
544(9)
Review for Chapter 10
553(4)
11 Introduction to Trigonometry
557(82)
11.1 Degrees, Radians, and Special Triangles
558(12)
11.2 Trigonometric Functions
570(8)
11.3 Trigonometric Functions and Calculators
578(11)
11.4 Graphing I: Amplitude and Period
589(14)
11.5 Graphing II: Phase Shift
603(10)
11.6 Finding an Equation from Its Graph
613(10)
11.7 Inverse Trigonometric Functions
623(7)
Review for Chapter 11
630(9)
12 Trigonometric Identities and Equations
639(36)
12.1 Introduction to Identities
640(7)
12.2 Proving Identities
647(5)
12.3 Sum and Difference Formulas
652(7)
12.4 Double-Angle and Half-Angle Formulas
659(6)
12.5 Solving Trigonometric Equations
665(6)
Review for Chapter 12
671(4)
13 Triangles
675
13.1 Definition II: Right Triangle Trigonometry
676(14)
13.2 The Law of Sines
690(6)
13.3 The Ambiguous Case
696(6)
13.4 The Law of Cosines
702(5)
Review for Chapter 13
707
Answers to Odd-Numbered Problems, Chapter Reviews, and Chapter Tests A-1
Index I-1


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