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Algebra and Trigonometry

by
ISBN13:

9780132191401

ISBN10:
0132191407
Format:
Hardcover
Pub. Date:
1/1/2007
Publisher(s):
Pearson College Div
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Summary

Gets Them Engaged. Keeps Them Engaged Blitzer's philosophy: present the full scope of mathematics, while always (1) engaging the student by opening their minds to learning (2) keeping the student engaged on every page (3) explaining ideas directly, simply, and clearly so they don't get "lost" when studying and reviewing.

Table of Contents

Preface ix
Acknowledgments xiv
To the Student xvii
About the Author xix
Applications Index xx
Prerequisites: Fundamental Concepts of Algebra
1(82)
Algebraic Expressions and Real Numbers
2(15)
Exponents and Scientific Notation
17(14)
Radicals and Rational Exponents
31(14)
Polynomials
45(12)
Mid-Chapter Check Point
56(1)
Factoring Polynomials
57(11)
Rational Expressions
68(15)
Summary, Review, and Test
79(1)
Review Exercises
80(2)
Chapter P Test
82(1)
Equations and Inequalities
83(102)
Graphs and Graphing Utilities
84(10)
Linear Equations and Rational Equations
94(14)
Models and Applications
108(15)
Complex Numbers
123(6)
Quadratic Equations
129(21)
Mid-Chapter Check Point
148(2)
Other Types of Equations
150(14)
Linear Inequalities and Absolute Value Inequalities
164(21)
Summary, Review, and Test
178(2)
Review Exercises
180(3)
Chapter 1 Test
183(2)
Functions and Graphs
185(112)
Basics of Functions and Their Graphs
186(16)
More on Functions and Their Graphs
202(14)
Linear Functions and Slope
216(15)
More on Slope
231(10)
Mid-Chapter Check Point
240(1)
Transformations of Functions
241(15)
Combinations of Functions: Composite Functions
256(13)
Inverse Functions
269(11)
Distance and Midpoint Formulas; Circles
280(17)
Summary, Review, and Test
288(3)
Review Exercises
291(3)
Chapter 2 Test
294(2)
Cumulative Review Exercises (Chapters 1--2)
296(1)
Polynomial and Rational Functions
297(102)
Quadratic Functions
298(14)
Polynomial Functions and Their Graphs
312(14)
Dividing Polynomials: Remainder and Factor Theorems
326(11)
Zeros of Polynomial Functions
337(14)
Mid-Chapter Check Point
350(1)
Rational Functions and Their Graphs
351(19)
Polynomial and Rational Inequalities
370(11)
Modeling Using Variation
381(18)
Summary, Review, and Test
391(2)
Review Exercises
393(3)
Chapter 3 Test
396(2)
Cumulative Review Exercises (Chapters 1--3)
398(1)
Exponential and Logarithmic Functions
399(68)
Exponential Functions
400(12)
Logarithmic Functions
412(12)
Properties of Logarithms
424(10)
Mid-Chapter Check Point
433(1)
Exponential and Logarithmic Equations
434(12)
Exponential Growth and Decay; Modeling Data
446(21)
Summary, Review, and Test
459(2)
Review Exercises
461(4)
Chapter 4 Test
465(1)
Cumulative Review Exercises (Chapters 1--4)
466(1)
Trigonometric Functions
467(120)
Angles and Radian Measure
468(15)
Right Triangle Trigonometry
483(15)
Trigonometric Functions of Any Angle
498(13)
Trigonometric Functions of Real Numbers; Periodic Functions
511(9)
Mid-Chapter Check Point
519(1)
Graphs of Sine and Cosine Functions
520(20)
Graphs of Other Trigonometric Functions
540(13)
Inverse Trigonometric Functions
553(15)
Applications of Trigonometric Functions
568(19)
Summary, Review, and Test
579(3)
Review Exercises
582(3)
Chapter 5 Test
585(1)
Cumulative Review Exercises (Chapters 1--5)
586(1)
Analytic Trigonometry
587(58)
Verifying Trigonometric Identities
588(10)
Sum and Difference Formulas
598(10)
Double-Angle, Power-Reducing, and Half-Angle Formulas
608(11)
Mid-Chapter Check Point
618(1)
Product-to-Sum and Sum-to-Product Formulas
619(7)
Trigonometric Equations
626(19)
Summary, Review, and Test
640(1)
Review Exercises
641(2)
Chapter 6 Test
643(1)
Cumulative Review Exercises (Chapters 1--6)
644(1)
Additional Topics in Trigonometry
645(82)
The Law of Sines
646(11)
The Law of Cosines
657(8)
Polar Coordinates
665(10)
Graphs of Polar Equations
675(12)
Mid-Chapter Check Point
686(1)
Complex Numbers in Polar Form; DeMoivre's Theorem
687(11)
Vectors
698(13)
The Dot Product
711(16)
Summary, Review, and Test
720(3)
Review Exercises
723(2)
Chapter 7 Test
725(1)
Cumulative Review Exercises (Chapters 1--7)
726(1)
Systems of Equations and Inequalities
727(68)
Systems of Linear Equations in Two Variables
728(15)
Systems of Linear Equations in Three Variables
743(8)
Partial Fractions
751(9)
Systems of Nonlinear Equations in Two Variables
760(9)
Mid-Chapter Check Point
769(1)
Systems of Inequalities
769(12)
Linear Programming
781(14)
Summary, Review, and Test
788(2)
Review Exercises
790(2)
Chapter 8 Test
792(1)
Cumulative Review Exercises (Chapters 1--8)
793(2)
Matrices and Determinants
795(68)
Matrix Solutions to Linear Systems
796(12)
Inconsistent and Dependent Systems and Their Applications
808(8)
Matrix Operations and Their Applications
816(16)
Mid-Chapter Check Point
832(1)
Multiplicative Inverses of Matrices and Matrix Equations
832(14)
Determinants and Cramer's Rule
846(17)
Summary, Review, and Test
857(2)
Review Exercises
859(2)
Chapter 9 Test
861(1)
Cumulative Review Exercises (Chapters 1--9)
861(2)
Conic Sections and Analytic Geometry
863(76)
The Ellipse
864(12)
The Hyperbola
876(14)
The Parabola
890(13)
Mid-Chapter Check Point
902(1)
Rotation of Axes
903(12)
Parametric Equations
915(9)
Conic Sections in Polar Coordinates
924(15)
Summary, Review, and Test
932(2)
Review Exercises
934(2)
Chapter 10 Test
936(1)
Cumulative Review Exercises (Chapters 1--10)
937(2)
Sequences, Induction, and Probability
939
Sequences and Summation Notation
940(10)
Arithmetic Sequences
950(9)
Geometric Sequences and Series
959(14)
Mid-Chapter Check Point
972(1)
Mathematical Induction
973(8)
The Binomial Theorem
981(7)
Counting Principles, Permutations, and Combinations
988(10)
Probability
998
Summary, Review, and Test
1011(2)
Review Exercises
1013(3)
Chapter 11 Test
1016(1)
Cumulative Review Exercises (Chapters 1--11)
1017
Appendix Where Did That Come From? Selected Proofs 1(1)
Answers to Selected Exercises 1(1)
Subject Index 1(1)
Photo Credits 1


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