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College Algebra and Trigonometry

ISBN: 9780201347128 | 0201347121
Edition: 2nd
Format: Hardcover
Publisher: Pearson College Div
Pub. Date: 7/1/1998

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SummaryTable of Contents
The Dugopolski Precalculus series for 1999 is technology optional. With this approach, teachers will be able to choose to offer either a strong technology-oriented course, or a course that does not make use of technology. For departments requiring both options, this text provides the advantage of flexibility. College Algebra and Trigonometry is designed for students who are pursuing further study in mathematics, but is equally appropriate for those who are not. For those students who will study additional mathematics, this text will provide the... MORE
Prefacevii
List of Supplements
xii
Index of Applicationsxvi
Prerequisites
... MORE
Real Numbers and Their Properties
1(15)
Integral Exponents
16(13)
Rational Exponents and Radicals
29(13)
Polynomials
42(12)
Factoring Polynomials
54(11)
Rational Expressions
65(18)
Highlights
76(2)
Review Exercises
78(2)
Test
80(3)
Equations and Inequalities
Linear Equations
83(11)
Applications
94(15)
Complex Numbers
109(8)
Quadratic Equations
117(15)
Linear and Absolute Value Inequalities
132(13)
Quadratic and Rational Inequalities
145(18)
Highlights
156(2)
Review Exercises
158(3)
Test
161(1)
Tying It All Together
161(2)
Functions and Graphs
The Cartesian Coordinate System
163(13)
Functions
176(15)
Graphs of Relations and Functions
191(16)
Transformations and Symmetry of Graphs
207(15)
Operations with Functions
222(12)
Inverse Functions
234(13)
Variation
247(16)
Highlights
255(2)
Review Exercises
257(3)
Test
260(1)
Tying It All Together
261(2)
Polynomial and Rational Functions
Linear Functions
263(16)
Quadratic Functions
279(12)
Zeros of Polynomial Functions
291(12)
The Theory of Equations
303(10)
Miscellaneous Equations
313(14)
Graphs of Polynomial Functions
327(12)
Graphs of Rational Functions
339(22)
Highlights
353(2)
Review Exercises
355(3)
Test
358(1)
Tying It All Together
359(2)
Exponential and Logarithmic Functions
Exponential Functions
361(16)
Logarithmic Functions
377(12)
Properties of Logarithms
389(13)
More Equations and Applications
402(19)
Highlights
414(1)
Review Exercises
415(2)
Test
417(1)
Tying It All Together
418(3)
The Trigonometric Functions
Angles and Their Measurements
421(17)
The Sine and Cosine Functions
438(14)
The Graphs of the Sine and Cosine Functions
452(16)
The Other Trigonometric Functions and Their Graphs
468(12)
The Inverse Trigonometric Functions
480(11)
Right Triangle Trigonometry
491(22)
Highlights
505(2)
Review Exercises
507(3)
Test
510(1)
Tying It All Together
511(2)
Trigonometric Identities and Conditional Equations
Basic Identities
513(9)
Verifying Identities
522(8)
Sum and Difference Identities
530(10)
Double-Angle and Half-Angle Identities
540(9)
Product and Sum Identities
549(10)
Conditional Equations
559(20)
Highlights
574(1)
Review Exercises
575(1)
Test
576(1)
Tying It All Together
577(2)
Applications of Trigonometry
The Law of Sines
579(12)
The Law of Cosines
591(11)
Vectors
602(13)
Trigonometric Form of Complex Numbers
615(7)
Powers and Roots of Complex Numbers
622(6)
Polar Equations
628(10)
Parametric Equations
638(13)
Highlights
643(2)
Review Exercises
645(2)
Test
647(1)
Tying It All Together
648(3)
Systems of Equations and Inequalities
Systems of Linear Equations in Two Variables
651(13)
Systems of Linear Equations in Three Variables
664(12)
Nonlinear Systems of Equations
676(9)
Partial Fractions
685(8)
Inequalities and Systems of Inequalities in Two Variables
693(9)
Linear Programming
702(13)
Highlights
710(1)
Review Exercises
711(1)
Test
712(1)
Tying It All Together
713(2)
Matrices and Determinants
Solving Linear Systems Using Matrices
715(15)
Operations with Matrices
730(7)
Multiplication of Matrices
737(8)
Inverses of Matrices
745(12)
Solution of Linear Systems in Two Variables Using Determinants
757(6)
Solution of Linear Systems in Three Variables Using Determinants
763(16)
Highlights
773(2)
Review Exercises
775(1)
Test
776(1)
Tying It All Together
777(2)
The Conic Sections
The Parabola
779(11)
The Ellipse and the Circle
790(14)
The Hyperbola
804(17)
Highlights
816(1)
Review Exercises
817(2)
Test
819(1)
Tying It All Together
819(2)
Sequences, Series, and Probability
Sequences
821(11)
Series
832(8)
Geometric Sequences and Series
840(13)
Counting and Permutations
853(7)
Combinations, Labeling, and the Binomial Theorem
860(11)
Probability
871(12)
Mathematical Induction
883(6)
Highlights
889(2)
Review Exercises
891(2)
Test
893
Answers to Odd-numbered ExercisesA-1
IndexI-1

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