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Algebra and Trigonometry,9780130810212

Algebra and Trigonometry

by Sullivan, Michael
Edition:
5th
ISBN13:

9780130810212

ISBN10:
0130810215
Format:
Paperback
Pub. Date:
9/1/1998
Publisher(s):
Prentice Hall
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Summary

The Eighth Edition of this highly dependable book retains its best features-accuracy, precision, depth, and abundant exercise sets-while substantially updating its content and pedagogy. Striving to teach mathematics as a way of life, Sullivan provides understandable, realistic applications that are consistent with the abilities of most readers. Chapter topics include Graphs; Trigonometric Functions; Exponential and Logarithmic Functions; Analytic Geometry; Analytic Trigonometry; Counting and Probability; and more. For individuals with an interest in learning algebra and trigonometry as it applies to their everyday lives.

Table of Contents

Preliminaries
1(40)
Real Numbers
1(4)
Approximations; Calculators
5(1)
Integer Exponents
6(2)
Polynomials
8(7)
Factoring Polynomials
15(5)
Rational Expressions
20(5)
Square Roots; Radicals
25(4)
Rational Exponents
29(3)
Geometry Topics
32(9)
Chapter Review
34(7)
Equations and Inequalities
41(77)
Equations
41(12)
Setting Up Equations: Applications
53(10)
Quadratic Equations
63(11)
Other Types of Equations
74(9)
Inequalities
83(2)
Linear Inequalities
85(6)
Polynomial and Rational Inequalities
91(9)
Equations and Inequalities Involving Absolute Value
100(18)
Chapter Review
105(13)
Graphs
118(36)
Rectangular Coordinates; Scatter Diagrams
118(8)
Graphs of Equations
126(4)
Lines
130(5)
Parallel and Perpendicular Lines; Circles
135(7)
Linear Curve Fitting
142(3)
Variation
145(9)
Chapter Review
148(6)
Functions and Their Graphs
154(39)
Functions
154(6)
More about Functions
160(6)
Graphing Techniques: Transformations
166(7)
Operations on Functions; Composite Functions
173(7)
Mathematical Models: Constructing Functions
180(13)
Chapter Review
185(8)
Polynomial and Rational Functions
193(77)
Quadratic Function; Curve Fitting
193(8)
Polynomial Functions
201(7)
Rational Functions
208(18)
Synthetic Division
226(1)
The Real Zeros of a Polynomial Function
227(18)
Complex Numbers; Quadratic Equations with a Negative Discriminant
245(3)
Complex Zerox; Fundamental Theorem of Algebra
248(22)
Chpter Review
252(18)
Exponential and Logarithimic Functions
270(36)
One-to-One Functions; Inverse Functions
270(6)
Exponential Functions
276(4)
Logarithmic Functions
280(3)
Properties of Logarithms; Curve Fitting
283(5)
Logarithmic and Exponential Equations
288(3)
Compound Interest
291(4)
Growth and Decay
295(3)
Logarithmic Scales
298(8)
Chapter Review
300(6)
Trigonometric Functions
306(49)
Angles and Their Measure
306(4)
Right Triangle Trigonometry
310(7)
Computing the Values of Trigonometric Functions of Given Angles
317(4)
Trigonometric Functions of General Angles
321(8)
Properties of the Trigonometric Functions; Unit Circle Approach
329(4)
Graphs of the Trigonometric Functions
333(3)
Sinusoidal Graphs; Sinusoidal Curve Fitting
336(19)
Chapter Review
346(9)
Analytic Trigonometry
355(48)
Trigonometric Identities
355(5)
Sum and Difference Formulas
360(6)
Double-Angle and Half-Angle Formulas
366(7)
Product-To-Sum and Sum-To-Product Formulas
373(3)
The Inverse Trigonometric Functions
376(10)
Trigonometric Equations
386(17)
Chapter Review
393(10)
Applications of Trigonometric Functions
403(32)
Solving Right Triangles
403(6)
The Law of Sines
409(9)
The Law of Cosines
418(6)
The Area of a Triangle
424(3)
Simple Harmonic Motion; Damped Motion
427(8)
Chapter Review
429(6)
Polar Coordinates: Vectors
435(39)
Polar Coordinates
435(4)
Polar Equations and Graphs
439(16)
The Complex Plane; Demoivre's Theorem
455(5)
Vectors
460(3)
The Dot Product
463(11)
Chapter Review
467(7)
Analytic Geometry
474(53)
The Parabola
474(7)
The Ellipse
481(10)
The Hyperbola
491(11)
Rotation of Axes; General Form of a Conic
502(4)
Polar Equations of Conics
506(3)
Plane Curves and Parametric Equations
509(18)
Chapter Review
514(13)
Systems of Equations and Inequalities
527(137)
Systems of Linear Equations: Substitution; Elimination
527(17)
Systems of Linear Equations: Matrices
544(22)
Systems of Linear Equations: Determinants
566(10)
Matrix Algebra
576(11)
Partial Fraction Decomposition
587(9)
Systems of Nonlinear Equations
596(25)
Systems of Inequalities
621(10)
Linear Programming
631(33)
Chapter Review
638(26)
Sequences; Induction; Counting; Probability
664(29)
Sequences
664(2)
Arithmetic Sequences
666(3)
Geometric Sequences; Geometric Series
669(5)
Mathematical Induction
674(3)
The Binomial Theorem
677(2)
Sets and Counting
679(2)
Permutations and Combinations
681(2)
Probability
683(10)
Chapter Review
686(7)
APPENDIX: GRAPHING UTILITIES 693
A.1 The Viewing Rectangle
693
A.2 Using a Graphing Utility to Graph Equations
693
A.3 Using a Graphing Utility to Locate Intercepts
695
A.4 Square Screens
697


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