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College Algebra Essentials,9780131090408
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College Algebra Essentials

by
Edition:
1st
ISBN13:

9780131090408

ISBN10:
0131090402
Format:
Hardcover
Pub. Date:
1/1/2004
Publisher(s):
Prentice Hall

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Summary

For courses in College Algebra. This book takes the same approach as the regular Blitzer College Algebra 3e version, but has been condensed by deleting the last 3 chapters (Chapter 6 Matrices and Determinants, Chapter 7 Conic Sections and Analytic Geometry, and Chapter 8 Sequences, Induction, and Probability). This text explores math the way it evolved: by describing real problems and how math explains them. It is interesting, lively (with applications you won't see in any other math book), and exceedingly clear. 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. Students are strongly supported by a consistent pedagogical framework. A See it, Hear it, Try it? format consistently walks students through each and every example in just the same way that an instructor would teach this example in class. Blitzer liberally inserts voice balloons and annotations throughout the text helping clarify the more difficult concepts for students.

Table of Contents

Preface ix
To the Student xii
Applications Index xxi
Prerequisites: Fundamental Concepts of Algebra
1(74)
Real Numbers and Algebraic Expressions
2(11)
Exponents and Scientific Notation
13(11)
Radicals and Rational Exponents
24(12)
Polynomials
36(12)
Factoring Polynomials
48(11)
Rational Expressions
59(16)
Summary
71(1)
Review Exercises or Algebra Skills Diagnostic Test
71(2)
Chapter P Test
73(2)
Equations, Inequalities, and Mathematical Models
75(100)
Graphs and Graphing Utilities
76(8)
Linear Equations
84(11)
Formulas and Applications
95(13)
Complex Numbers
108(6)
Quadratic Equations
114(17)
Other Types of Equations
131(13)
Linear Inequalities
144(13)
Quadratic and Rational Inequalities
157(18)
Summary
168(2)
Review Exercises
170(3)
Chapter 1 Test
173(2)
Functions and Graphs
175(104)
Lines and Slope
176(17)
Distance and Midpoint Formulas; Circles
193(8)
Basics of Functions
201(13)
Graphs of Functions
214(21)
Transformations of Functions
235(13)
Combinations of Functions; Composite Functions
248(12)
Inverse Functions
260(19)
Summary
270(2)
Review Exercises
272(4)
Chapter 2 Test
276(2)
Cumulative Review Exercises
278(1)
Polynomial and Rational Functions
279(94)
Quadratic Functions
280(13)
Polynomial Functions and Their Graphs
293(11)
Dividing Polynomials: Remainder and Factor Theorems
304(11)
Zeros of Polynomial Functions
315(10)
More on Zeros of Polynomial Functions
325(10)
Rational Functions and Their Graphs
335(18)
Modeling Using Variation
353(20)
Summary
366(2)
Review Exercises
368(3)
Chapter 3 Test
371(1)
Cumulative Review Exercises
372(1)
Exponential and Logarithmic Functions
373(65)
Exponential Functions
374(11)
Logarithmic Functions
385(13)
Properties of Logarithms
398(9)
Exponential and Logarithmic Equations
407(11)
Modeling with Exponential and Logarithmic Functions
418(20)
Summary
432(1)
Review Exercises
433(4)
Chapter 4 Test
437(1)
Cumulative Review Exercises
437(1)
Systems of Equations and Inequalities
438(70)
Systems of Linear Equations in Two Variables
439(17)
Systems of Linear Equations in Three Variables
456(9)
Partial Fractions
465(9)
Systems of Nonlinear Equations in Two Variables
474(9)
Systems of Inequalities
483(10)
Linear Programming
493(15)
Summary
502(1)
Review Exercises
503(3)
Chapter 5 Test
506(1)
Cumulative Review Exercises
507(1)
Matrices and Determinants
508(73)
Matrix Solutions to Linear Systems
509(14)
Inconsistent and Dependent Systems and Their Applications
523(9)
Matrix Operations and Their Applications
532(15)
Multiplicative Inverses of Matrices and Matrix Equations
547(15)
Determinants and Cramer's Rule
562(19)
Summary
575(1)
Review Exercises
576(3)
Chapter 6 Test
579(1)
Cumulative Review Exercises
579(2)
Conic Sections and Analytic Geometry
581(48)
The Ellipse
582(13)
The Hyperbola
595(16)
The Parabola
611(18)
Summary
625(1)
Review Exercises
626(1)
Chapter 10 Test
627(1)
Cumulative Review Exercises
628(1)
Sequences, Induction, and Probability
629(1)
Sequences and Summation Notation
630(11)
Arithmetic Sequences
641(9)
Geometric Sequences
650(14)
Mathematical Induction
664(9)
The Binomial Theorem
673(8)
Counting Principles, Permutations, and Combinations
681(11)
Probability
692(13)
Summary
705(2)
Review Exercises
707(3)
Chapter 8 Test
710(1)
Cumulative Review Exercises
711
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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