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Algebra and Trigonometry

by
Edition:
1st
ISBN13:

9780534380298

ISBN10:
0534380298
Format:
Paperback
Pub. Date:
12/20/2000
Publisher(s):
Brooks Cole
List Price: $126.00

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This is the 1st edition with a publication date of 12/20/2000.
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Summary

James Stewart, the author of the worldwide best-selling calculus texts, along with two of his former Ph.D. students, Lothar Redlin and Saleem Watson, collaborated in writing this book to address a problem they frequently saw in their calculus courses. Many students were not prepared to "think mathematically" but attempted to memorize facts and mimic examples. ALGEBRA AND TRIGONOMETRY was designed specifically to help readers learn to think mathematically and to develop true problem-solving skills. Patient, clear, and accurate, the text consistently illustrates how useful and applicable mathematics is to real life. The new book follows the successful approach taken in the authors' previous books, COLLEGE ALGEBRA, Third Edition, and PRECALCULUS, Third Edition.

Table of Contents

Basic Algebra
2(72)
What Is Algebra?
3(6)
Real Numbers
9(11)
Exponents and Radicals
20(12)
Algebraic Expressions
32(12)
Discovery Project Visualizing a Formula
43(1)
Fractional Expressions
44(9)
Basic Equations
53(21)
Review
63(3)
Test
66(1)
Principles of Problem Solving
67(7)
Coordinates and Graphs
74(56)
The Coordinate Plane
75(9)
Discovery Project Visualizing Data
82(2)
Graphs of Equations
84(10)
Graphing Calculators and Computers
94(6)
Lines
100(30)
Review
115(3)
Test
118(1)
Principles of Modeling
119(11)
Equations and Inequalities
130(78)
Algebraic and Graphical Solutions of Equations
131(5)
Modeling with Equations
136(15)
Writing Project Equations Through the Ages
150(1)
Quadratic Equations
151(13)
Complex Numbers
164(7)
Other Equations
171(10)
Linear Inequalities
181(6)
Nonlinear Inequalities
187(9)
Absolute Value
196(12)
Review
199(3)
Test
202(1)
Focus on Problem Solving
203(5)
Functions
208(102)
What Is a Function?
209(11)
Graphs of Functions
220(11)
Applied Functions: Variation
231(5)
Average Rate of Change: Increasing and Decreasing Functions
236(11)
Transformations of Functions
247(11)
Extreme Values of Functions
258(10)
Combining Functions
268(12)
Laboratory Project Iteration and Chaos
278(2)
One-to-One Functions and Their Inverses
280(30)
Review
289(5)
Test
294(2)
Focus on Modeling
296(14)
Polynomial and Rational Functions
310(68)
Polynomial Functions and Their Graphs
311(15)
Dividing Polynomials
326(7)
Real Zeros of Polynomials
333(13)
Discovery Project Zeroing in on a Zero
345(1)
The Fundamental Theorem of Algebra
346(8)
Rational Functions
354(24)
Review
370(2)
Test
372(1)
Focus on Problem Solving
373(5)
Exponential and Logarithmic Functions
378(68)
Exponential Functions
379(8)
Discovery Project Exponential Explosion
386(1)
The Natural Exponential Function
387(10)
Logarithmic Functions
397(10)
Laws of Logarithms
407(5)
Exponential and Logarithmic Equations
412(7)
Applications of Exponential and Logarithmic Functions
419(27)
Review
434(3)
Test
437(1)
Focus on Modeling
438(8)
Trigonometric Functions of Angles
446(60)
Angle Measure
447(8)
Trigonometry of Right Triangles
455(11)
Trigonometric Functions of Angles
466(12)
Discovery Project Similarity
476(2)
The Law of Sines
478(8)
The Law of Cosines
486(20)
Review
494(4)
Test
498(2)
Focus on Problem Solving
500(6)
Trigonometric Functions of Real Numbers
506(60)
The Unit Circle
507(9)
Trigonometric Functions of Real Numbers
516(10)
Trigonometric Graphs
526(16)
Discovery Project Predator/Prey Models
540(2)
More Trigonometric Graphs
542(24)
Review
550(3)
Test
553(1)
Focus on Modeling
554(12)
Analytic Trigonometry
566(82)
Trigonometric Identities
567(8)
Addition and Subtraction Formulas
575(7)
Double-Angle, Half-Angle, and Product-Sum Formulas
582(10)
Inverse Trigonometric Functions
592(10)
Discovery Project Where to Sit at the Movies
600(2)
Trigonometric Equations
602(8)
Trigonometric Form of Complex Numbers; DeMoivre's Theorem
610(9)
Vectors
619(11)
The Dot Product
630(18)
Review
638(4)
Test
642(2)
Focus on Problem Solving
644(4)
Systems of Equations and Inequalities
648(86)
Systems of Equations
649(9)
Pairs of Lines
658(8)
Systems of Linear Equations
666(14)
The Algebra of Matrices
680(9)
Laboratory Project Will the Species Survive?
688(1)
Inverses of Matrices and Matrix Equations
689(10)
Determinants and Cramer's Rule
699(10)
Systems of Inequalities
709(5)
Partial Fractions
714(20)
Review
720(3)
Test
723(2)
Focus on Modeling
725(9)
Topics in Analytic Geometry
734(82)
Parabolas
736(9)
Laboratory Project Rolling Down a Ramp
744(1)
Ellipses
745(10)
Hyperbolas
755(9)
Shifted Conics
764(8)
Rotation of Axes
772(8)
Polar Coordinates
780(12)
Polar Equations of Conics
792(6)
Parametric Equations
798(18)
Review
806(4)
Test
810(2)
Focus on Modeling
812(4)
Sequences and Series
816(60)
Sequences and Summation Notation
817(10)
Arithmetic Sequences
827(6)
Geometric Sequences
833(10)
Discovery Project Finding Patterns
842(1)
Annuities and Installment Buying
843(7)
Mathematical Induction
850(7)
The Binomial Theorem
857(19)
Review
867(3)
Test
870(1)
Focus on Problem Solving
871(5)
Counting and Probability
876
Counting Principles
877
Permutations and Combinations
882
Probability
891
Laboratory Project Small Samples, Big Results
903
Expected Value
904
Review
907
Test
910
Focus on Modeling
911
Answers to Odd-Numbered Exercises and Chapter Tests A1
Index A65


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