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College Algebra Essentials

ISBN: 9780132203135 | 0132203138
Edition: 2nd
Format: Hardcover
Publisher: Prentice Hall
Pub. Date: 1/1/2007

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SummaryTable of Contents
Gets Them Engaged. Keeps Them Engaged. In a Shorter Text!Blitzer's philosophy: present the full scope of mathematics, while always (1) engaging the reader by opening their minds to learning (2) keeping the reader engaged on every page (3) explaining ideas directly, simply, and clearly so they don't get "lost" when studying and reviewing. Prerequisites: Fundamental Concepts of Algebra; Equations and Inequalities; Functions and Graphs; Polynomial and Rational Functions; Exponential and Logarithmic Functions; Systems of Equations and Inequalities.... MORE
Prefaceix
Acknowledgmentsxiii
To the Studentxv
About the Authorxvii
Applications Indexxviii
Prerequ... MORE
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)
Systems of Equations and Inequalities
467(68)
Systems of Linear Equations in Two Variables
468(15)
Systems of Linear Equations in Three Variables
483(8)
Partial Fractions
491(9)
Systems of Nonlinear Equations in Two Variables
500(9)
Mid-Chapter Check Point
509(1)
Systems of Inequalities
509(12)
Linear Programming
521(14)
Summary, Review, and Test
528(2)
Review Exercises
530(2)
Chapter 5 Test
532(1)
Cumulative Review Exercises (Chapters 1--5)
533(2)
Matrices and Determinants
535(68)
Matrix Solutions to Linear Systems
536(12)
Inconsistent and Dependent Systems and Their Applications
548(8)
Matrix Operations and Their Applications
556(16)
Mid-Chapter Check Point
572(1)
Multiplicative Inverses of Matrices and Matrix Equations
572(14)
Determinants and Cramer's Rule
586(17)
Summary, Review, and Test
597(2)
Review Exercises
599(2)
Chapter 6 Test
601(1)
Cumulative Review Exercises (Chapters 1--6)
601(2)
Conic Sections
603(44)
The Ellipse
604(12)
The Hyperbola
616(15)
Mid-Chapter Check Point
630(1)
The Parabola
631(16)
Summary, Review, and Test
643(1)
Review Exercises
643(2)
Chapter 7 Test
645(1)
Cumulative Review Exercises (Chapters 1--7)
646(1)
Sequences, Induction, and Probability
647
Sequences and Summation Notation
648(10)
Arithmetic Sequences
658(9)
Geometric Sequences and Series
667(14)
Mid-Chapter Check Point
680(1)
Mathematical Induction
681(8)
The Binomial Theorem
689(7)
Counting Principles, Permutations, and Combinations
696(10)
Probability
706
Summary, Review, and Test
719(2)
Review Exercises
721(3)
Chapter 8 Test
724(1)
Cumulative Review Exercises (Chapters 1--8)
725
Appendix: Where Did That Come From? Selected Proofs1(1)
Answers to Selected Exercises1(1)
Subject Index1(1)
Photo Credits1

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