Rent 9780131874763 | Precalculus: Concepts Through Functions, A Right Triangle Approach to Trigonometry | Sullivan, Michael; Sullivan III, Michael @knetbooks.com

Summary Table of Contents

This new text embodies Sullivan/Sullivanrs"s hallmarks - accuracy, precision, depth, strong student support, and abundant exerciseswhile exposing students early (Chapter One) to the study of functionsand taking aright triangle approachto trigonometry."IT WORKS"for instructors and students because it focuses students on thefundamentals:preparingfor class,practicingtheir homework, andreviewing. After completing the book, students will be prepared to handle the algebra found in subsequent courses such as finite mathematics, business mathematics, and engineering calculus and will have a solid understanding of the concept of a function.

... MORE

Preface to the Instructor	p. xiii
List of Applications	p. xix
Photo Credits	p. xxiii
To the Student	p. xxiv
Foundations: A Prelude To Functions	p. 1
The Distance and Midpoint Formulas	p. 2
Graphs of Equations in Two Variables; Intercepts; Symmetry	p. 8
Lines	p. 18
Circles	p. 33
Functions and Their Graphs	p. 39
Functions	p. 40
The Graph of a Function	p. 54
Properties of Functions	p. 63
Library of Functions; Piecewise-defined Functions	p. 75
Graphing Techniques: Transformations	p. 85
Mathematical Models: Constructing Functions	p. 97
Chapter Review	p. 105
Chapter Test	p. 111
Chapter Projects	p. 112
Linear and Quadratic Functions	p. 113
Properties of Linear Functions	p. 114
Building Linear Functions from Data; Direct Variation	p. 125
Quadratic Functions and Their Zeros	p. 133
Properties of Quadratic Functions	p. 144
Inequalities Involving Quadratic Functions	p. 154
Quadratic Models	p. 158
Complex Zeros of a Quadratic Function	p. 167
Equations and Inequalities Involving the Absolute Value Function	p. 170
Chapter Review	p. 175
Chapter Test	p. 179
Chapter Projects	p. 179
Cumulative Review	p. 180
Polynomial and Rational Functions	p. 181
Polynomial Functions and Models	p. 182
Properties of Rational Functions	p. 203
The Graph of a Rational Function; Inverse and Joint Variation	p. 213
Polynomial and Rational Inequalities	p. 231
The Real Zeros of a Polynomial Function	p. 236
Complex Zeros; Fundamental Theorem of Algebra	p. 250
Chapter Review	p. 256
Chapter Test	p. 259
Chapter Projects	p. 260
Cumulative Review	p. 261
Exponential and Logarithmic Functions	p. 263
Composite Functions	p. 264
One-to-One Functions; Inverse Functions	p. 271
Exponential Functions	p. 284
Logarithmic Functions	p. 300
Properties of Logarithms	p. 312
Logarithmic and Exponential Equations	p. 320
Compound Interest	p. 325
Exponential Growth and Decay; Newton's Law; Logistic Growth and Decay	p. 334
Building Exponential, Logarithmic, and Logistic Functions from Data	p. 345
Chapter Review	p. 353
Chapter Test	p. 359
Chapter Projects	p. 359
Cumulative Review	p. 360
Trigonometric Functions	p. 361
Angles and Their Measure	p. 362
Right Triangle Trigonometry	p. 375
Computing the Values of Trigonometric Functions of Acute Angles	p. 386
Trigonometric Functions of General Angles	p. 397
Unit Circle Approach; Properties of the Trigonometric Functions	p. 407
Graphs of the Sine and Cosine Functions	p. 418
Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions	p. 433
Phase Shift; Sinusoidal Curve Fitting	p. 439
Chapter Review	p. 450
Chapter Test	p. 456
Chapter Projects	p. 457
Cumulative Review	p. 458
Analytic Trigonometry	p. 459
The Inverse Sine, Cosine, and Tangent Functions	p. 460
The Inverse Trigonometric Functions (Continued)	p. 472
Trigonometric Identities	p. 477
Sum and Difference Formulas	p. 485
Double-angle and Half-angle Formulas	p. 494
Product-to-Sum and Sum-to-Product Formulas	p. 503
Trigonometric Equations (I)	p. 507
Trigonometric Equations (II)	p. 613
Chapter Review	p. 520
Chapter Test	p. 524
Chapter Projects	p. 524
Cumulative Review	p. 525
Applications of Trigonometric Functions	p. 527
Applications Involving Right Triangles	p. 528
The Law of Sines	p. 533
The Law of Cosines	p. 544
Area of a Triangle	p. 550
Simple Harmonic Motion; Damped Motion; Combining Waves	p. 555
Chapter Review	p. 564
Chapter Test	p. 568
Chapter Projects	p. 569
Cumulative Review	p. 570
Polar Coordinates; Vectors	p. 571
Polar Coordinates	p. 572
Polar Equations and Graphs	p. 580
The Complex Plane; De Moivre's Theorem	p. 596
Vectors	p. 604
The Dot Product	p. 615
Vectors in Space	p. 623
The Cross Product	p. 632
Chapter Review	p. 638
Chapter Test	p. 642
Chapter Projects	p. 643
Cumulative Review	p. 644
Analytic Geometry	p. 645
Conics	p. 646
The Parabola	p. 647
The Ellipse	p. 656
The Hyperbola	p. 666
Rotation of Axes; General Form of a Conic	p. 678
Polar Equations of Conics	p. 686
Plane Curves and Parametric Equations	p. 692
Chapter Review	p. 704
Chapter Test	p. 707
Chapter Projects	p. 707
Cumulative Review	p. 708
Systems of Equations and Inequalities	p. 709
Systems of Linear Equations: Substitution and Elimination	p. 710
Systems of Linear Equations: Matrices	p. 724
Systems of Linear Equations: Determinants	p. 739
Matrix Algebra	p. 749
Partial Fraction Decomposition	p. 765
Systems of Nonlinear Equations	p. 772
Systems of Inequalities	p. 781
Linear Programming	p. 789
Chapter Review	p. 796
Chapter Test	p. 801
Chapter Projects	p. 802
Cumulative Review	p. 803
Sequences; Induction; The Binomial Theorem	p. 805
Sequences	p. 806
Arithmetic Sequences	p. 815
Geometric Sequences; Geometric Series	p. 820
Mathematical Induction	p. 831
The Binomial Theorem	p. 834
Chapter Review	p. 841
Chapter Test	p. 843
Chapter Projects	p. 844
Cumulative Review	p. 844
Counting and Probability	p. 895
Sets and Counting	p. 846
Permutations and Combinations	p. 851
Probability	p. 861
Chapter Review	p. 871
Chapter Test	p. 874
Chapter Projects	p. 875
Cumulative Review	p. 875
A Preview of Calculus: The Limit, Derivative, and Integral of a Function	p. 877
Finding Limits Using Tables and Graphs	p. 878
Algebra Techniques for Finding Limits	p. 883
One-sided Limits; Continuous Functions	p. 890
The Tangent Problem; The Derivative	p. 897
The Area Problem; The Integral	p. 905
Chapter Review	p. 911
Chapter Test	p. 915
Chapter Projects	p. 916
Review	p. 1
Algebra Essentials	p. 1
Geometry Essentials	p. 11
Polynomials	p. 19
Factoring Polynomials	p. 29
Synthetic Division	p. 38
Rational Expressions	p. 41
nth Roots; Rational Exponents	p. 52
Solving Equations	p. 60
Interval Notation; Solving Inequalities	p. 66
Problem Solving: Applications of Linear Equations	p. 74
Complex Numbers	p. 82
Graphing Utilities	p. 1
The Viewing Rectangle	p. 1
Using a Graphing Utility to Graph Equations	p. 3
Using a Graphing Utility to Locate Intercepts and Check for Symmetry	p. 7
Using a Graphing Utility to Solve Equations	p. 9
Square Screens	p. 11
Using a Graphing Utility to Graph Inequalities	p. 12
Using a Graphing Utility to Solve Systems of Linear Equations	p. 14
Using a Graphing Utility to Graph a Polar Equation	p. 15
Using a Graphing Utility to Graph Parametric Equations	p. 16
Answers	p. 1
Index	p. 1
Table of Contents provided by Ingram. All Rights Reserved.

RENT TEXTBOOKS

Precalculus: Concepts Through Functions, A Right Triangle Approach to Trigonometry

Why Rent from Knetbooks?

Top 5 reasons to order all your textbooks from Knetbooks:

Related Products