College Algebra /
- 4
- EUA Pearson 2006
- 725 22cm de ancho X 25cm de largo
- Serie .
Contents
Preface to the Instructor xi
List of Applications xvii
Photo Credits xxi
To the Student xxiv
Chapter R
Review
R.1 Real Numbers 2
R.2 Algebra Review 16
R.3 Geometry Review 29
R.4 Polynomials 35
R.5 Factoring Polynomials 45
R.6 Synthetic Division 53
R.7 Rational Expressions 57
R.8 nth Roots: Rational Exponents 68
Chapter Review 76
Chapter 1
Graphs, Equations, and Inequalities
1.1 Rectangular Coordinates: Graphing Utilities; Introduction to Graphing Equations 84
1.2 Solving Equations Using a Graphing Utility, Linear and Rational Equations 100
1.3 Quadratic Equations 112
1.4 Complex Numbers; Quadratic Equations in the Complex Number System 124
1.5 Radical Equations: Equations Quadratic in Form; Absolute Value Equations: Factorable Equations 133
1.6 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Jobs 141
1.7 Solving Inequalities 150
1.8 Lines 163
1.9 Circles 180
Chapter Review 187
Chapter Test 194
Chapter Projects 195
1
83
vii AR
Jos
OS
CONTENTS in
503
Chapter 5
Systems of Equations and Inequalities
5.1 Systems of Lincar Equations. Substitution and Elmination 50t
5.2 Systems of Linear Equations Matrices 519
5.3 Systems of Lincar Equations. Determinants 516
5.4 Matrix Algebra 546
5.5 Partial Fraction Decomposition 563
5.6 Systems of Linear Inequalities 571
5.7 Linear Programming 580
Chapter Review 588
Chapter Test 592
Chapter Projects 593
Cumulative Review 594
Chapter 6
Analytic Geometry
6.1 Conics 596
6.2 The Parabola 597
6.3 The Ellipse 608
6.4 The Hyperbola 619
6.5 Systems of Nonlinear Equations and Inequalities 633
Chapter Review 645
Chapter Test 647
Chapter Projects 647
Cumulative Review 648
595
Chapter 7
Sequences; Induction; the Binomial Theorem
7.1 Sequences 650
7.2 Arithmetic Sequences 662
7.3 Geometric Sequences; Geometric Series 668
7.4 Mathematical Induction 677
7.5 The Binomial Theorem 681
Chapter Review 688
Chapter Test 690
Chapter Projects 691
Cumulative Review 692
Chapter 8
Counting and Probability
8.1 Sets and Counting 694
8.2 Permutations and Combinations 700
8.3 Probability 711
Chapter Review 722
Chapter Test 725
Chapter Projects 726
Cumulative Review 726
Answers
AN1
11
Index
Three Distinct Series
Students have different goals, learning styles, and levels of preparation. Instructors have different teaching philosophics, styles, and techniques. Rather than write one series to fit all, the Sullivans have written three distinct series. All share the same goal to develop a high level of mathematical understanding and an appreciation for the way mathematics can describe the world around us. The manner of reaching that goal, however, differs from series to series.
Contemporary Series, Seventh Edition
The Contemporary Series is the most traditional in approach, yet modern in its treatment of precalculus mathematics. Graphing utility coverage is optional and can
be included or excluded based on instructor preference. College Algebra. College Algebra Essentials, Algebra & Trigonometry, Trigonometry. Precalculus. Precalculus Essentials
Enhanced with Graphing Utilities Series, Fourth Edition
This series provides a more thorough integration of graphing utilities into topies, al-lowing students to explore mathematical concepts and foreshadow ideas usually studied in later courses Using technology, the approach to solving certain problems differs from the Contemporary series, while the emphasis on understanding con-cepts and building strong skills does not.
College Algebra, College Algebra Essentials, Algebra & Trigonometry, Trigonometry, Precalculus
Graphing, Data, and Analysis Series, Third Edition
This series differs from the others, utilizing a functions approach which serves as the organizing principle tying concepts together. Each chapter introduces a new type of function, then develops all concepts pertaining to that particular function. The solu-tions of equations and inequalities, instead of being developed as stand-alone topics, are developed in the context of the underlying functions. Technology is integrated at the same level as the Enhanced with Graphing Utilities series (described above).
College Algebra, Algebra & Trigonometry, Precalculus