Algebra and Trigonometry Enhanced with Graphing / Edition 1

Algebra and Trigonometry Enhanced with Graphing / Edition 1

by Michael Sullivan
     
 

ISBN-10: 0135042267

ISBN-13: 9780135042267

Pub. Date: 05/28/1996

Publisher: Prentice Hall Professional Technical Reference

Written by the authors while using graphing utilities in their own classrooms, these texts fully utilize graphing utilities in order for students to explore and discover important precalculus concepts. This series combines the successful writing style of the authors with cutting edge technology. Professors and students alike will find that these texts present the

Overview

Written by the authors while using graphing utilities in their own classrooms, these texts fully utilize graphing utilities in order for students to explore and discover important precalculus concepts. This series combines the successful writing style of the authors with cutting edge technology. Professors and students alike will find that these texts present the material at the correct pace -- with an appropriate emphasis on the technology as a tool and mathematics as the subject.

Product Details

ISBN-13:
9780135042267
Publisher:
Prentice Hall Professional Technical Reference
Publication date:
05/28/1996
Edition description:
Older Edition
Pages:
950
Product dimensions:
8.27(w) x 10.31(h) x 1.82(d)

Table of Contents

Preface to the Instructorxi
Preface to the Studentxvii
List of Applicationsxxvii
Photo Creditsxxxiii
Chapter RReview1
R.1Real Numbers2
R.2Algebra Review17
R.3Geometry Review25
R.4Integer Exponents30
R.5Polynomials39
R.6Factoring Polynomials50
R.7Rational Expressions59
R.8Square Roots; Radicals71
R.9Rational Exponents79
Chapter 1Graphs89
1.1Rectangular Coordinates; Graphing Utilities90
1.2Introduction to Graphing Equations100
1.3Solving Equations Using a Graphing Utility; Linear and Quadratic Equations109
1.4Setting Up Equations; Applications127
1.5Radical Equations; Equations Quadratic in Form; Absolute Value Equations142
1.6Solving Inequalities149
1.7Lines163
1.8Circles180
Chapter 2Linear and Quadratic Functions195
2.1Functions196
2.2Linear Functions and Models215
2.3Quadratic Functions226
2.4Quadratic Models237
Chapter 3Functions and Their Graphs255
3.1Symmetry; Graphing Key Equations256
3.2Properties of Functions263
3.3Library of Functions; Piecewise-Defined Functions276
3.4Graphing Techniques: Transformations286
3.5Operations on Functions; Composite Functions299
3.6Mathematical Models: Constructing Functions309
Chapter 4Polynomial and Rational Functions323
4.1Power Functions and Models324
4.2Polynomial Functions and Models330
4.3Rational Functions I343
4.4Rational Functions II: Analyzing Graphs355
4.5Polynomial and Rational Inequalities365
Chapter 5The Zeros of a Polynomial Function379
5.1Synthetic Division380
5.2The Real Zeros of a Polynomial Function384
5.3Complex Numbers; Quadratic Equations with a Negative Discriminant398
5.4Complex Zeros; Fundamental Theorem of Algebra407
Chapter 6Exponential and Logarithmic Functions417
6.1One-to-One Functions; Inverse Functions418
6.2Exponential Functions431
6.3Logarithmic Functions445
6.4Properties of Logarithms457
6.5Logarithmic and Exponential Equations467
6.6Compound Interest471
6.7Growth and Decay482
6.8Exponential, Logarithmic, and Logistic Models493
Chapter 7Systems of Equations and Inequalities511
7.1Systems of Linear Equations: Two Equations Containing Two Variables512
7.2Systems of Linear Equations: Three Equations Containing Three Variables523
7.3Systems of Linear Equations: Matrices529
7.4Systems of Linear Equations: Determinants547
7.5Matrix Algebra559
7.6Systems of Linear Inequalities; Linear Programming577
7.7Partial Fraction Decomposition593
Chapter 8Trigonometric Functions609
8.1Angles and Their Measure610
8.2Right Triangle Trigonometry624
8.3Computing the Values of Trigonometric Functions of Given Angles636
8.4Trigonometric Functions of General Angles643
8.5Properties of the Trigonometric Functions; Unit Circle Approach654
8.6Graphs of the Sine and Cosine Functions666
8.7Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions682
8.8Phase Shift; Sinusoidal Curve Fitting689
Chapter 9Analytic Trigonometry709
9.1The Inverse Sine, Cosine, and Tangent Functions710
9.2The Inverse Trigonometric Functions (continued)722
9.3Trigonometric Identities727
9.4Sum and Difference Formulas734
9.5Double-Angle and Half-Angle Formulas745
9.6Product-to-Sum and Sum-to-Product Formulas755
9.7Trigonometric Equations I759
9.8Trigonometric Equations II765
Chapter 10Applications of Trigonometric Functions779
10.1Applications Involving Right Triangles780
10.2Law of Sines788
10.3Law of Cosines800
10.4Area of a Triangle806
10.5Simple Harmonic Motion; Damped Motion; Combining Waves812
Chapter 11Polar Coordinates; Vectors829
11.1Polar Coordinates830
11.2Polar Equations and Graphs839
11.3The Complex Plane; De Moivre's Theorem857
11.4Vectors866
11.5The Dot Product878
Chapter 12Analytic Geometry891
12.1Conics892
12.2The Parabola893
12.3The Ellipse905
12.4The Hyperbola917
12.5Rotation of Axes; General Form of a Conic932
12.6Polar Equations of Conics941
12.7Plane Curves and Parametric Equations948
12.8Systems of Nonlinear Equations963
Chapter 13Sequences; Induction; the Binomial Theorem981
13.1Sequences982
13.2Arithmetic Sequences997
13.3Geometric Sequences; Geometric Series1003
13.4Mathematical Induction1014
13.5The Binomial Theorem1018
Chapter 14Counting and Probability1031
14.1Sets and Counting1032
14.2Permutations and Combinations1038
14.3Probability of Equally Likely Outcomes1049
14.4Obtaining Probabilities from Data1062
AnswersAN1
IndexI1

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