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Algebra and Trigonometry Enhanced with Graphing Utilities 6th edition [Kietas viršelis]

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  • Formatas: Hardback, 1152 pages, aukštis x plotis: 276x216 mm
  • Išleidimo metai: 09-Feb-2012
  • Leidėjas: Pearson
  • ISBN-10: 0321784839
  • ISBN-13: 9780321784834
Kitos knygos pagal šią temą:
Algebra and Trigonometry Enhanced with Graphing Utilities 6th editionDidesnis paveikslėlis
  • Formatas: Hardback, 1152 pages, aukštis x plotis: 276x216 mm
  • Išleidimo metai: 09-Feb-2012
  • Leidėjas: Pearson
  • ISBN-10: 0321784839
  • ISBN-13: 9780321784834
Kitos knygos pagal šią temą:
Pastovi nuoroda: https://www.kriso.lt/db/9780321784834.html
Raktažodžiai:

Michael Sullivan's time-tested approach focuses students on the fundamental skills they need for the course: preparing for class, practicing with homework, and reviewing the concepts. The Enhanced with Graphing Utilities Serieshas evolved to meet today's course needs by integrating the usage of graphing calculator, active-learning, and technology in new ways to help students be successful in their course, as well as in their future endeavors.

To the Student xii
Preface to the Instructor xiv
Applications Index xxi
Photo Credits xxviii
R Review
1(80)
R.1 Real Numbers
2(15)
R.2 Algebra Essentials
17(13)
R.3 Geometry Essentials
30(9)
R.4 Polynomials
39(10)
R.5 Factoring Polynomials
49(10)
R.6 Synthetic Division
59(3)
R.7 Rational Expressions
62(11)
R.8 nth Roots; Rational Exponents
73(8)
1 Graphs, Equations, and Inequalities
81(82)
1.1 The Distance and Midpoint Formulas; Graphing Utilities; Introduction to Graphing Equations
82(16)
1.2 Solving Equations Using a Graphing Utility; Linear and Rational Equations
98(11)
1.3 Quadratic Equations
109(11)
1.4 Complex Numbers; Quadratic Equations in the Complex Number System
120(8)
1.5 Radical Equations; Equations Quadratic in Form; Absolute Value Equations; Factorable Equations
128(8)
1.6 Problem Solving: Interest, Mixture, Uniform Motion, Constant Rate Job Applications
136(9)
1.7 Solving Inequalities
145(18)
Chapter Review
157(4)
Chapter Test
161(1)
Chapter Projects
161(2)
2 Graphs
163(42)
2.1 Intercepts; Symmetry; Graphing Key Equations
164(8)
2.2 Lines
172(16)
2.3 Circles
188(7)
2.4 Variation
195(10)
Chapter Review
201(2)
Chapter Test
203(1)
Cumulative Review
203(1)
Chapter Project
204(1)
3 Functions and Their Graphs
205(72)
3.1 Functions
206(13)
3.2 The Graph of a Function
219(10)
3.3 Properties of Functions
229(12)
3.4 Library of Functions; Piecewise-defined Functions
241(11)
3.5 Graphing Techniques: Transformations
252(12)
3.6 Mathematical Models: Building Functions
264(13)
Chapter Review
270(3)
Chapter Test
273(1)
Cumulative Review
274(1)
Chapter Projects
275(2)
4 Linear and Quadratic Functions
277(49)
4.1 Linear Functions and Their Properties
278(10)
4.2 Linear Models: Building Linear Functions from Data
288(7)
4.3 Quadratic Functions and Their Properties
295(12)
4.4 Build Quadratic Models from Verbal Descriptions and from Data
307(9)
4.5 Inequalities Involving Quadratic Functions
316(10)
Chapter Review
321(2)
Chapter Test
323(1)
Cumulative Review
324(1)
Chapter Projects
325(1)
5 Polynomial and Rational Functions
326(72)
5.1 Polynomial Functions and Models
327(19)
5.2 The Real Zeros of a Polynomial Function
346(13)
5.3 Complex Zeros; Fundamental Theorem of Algebra
359(5)
5.4 Properties of Rational Functions
364(11)
5.5 The Graph of a Rational Function
375(10)
5.6 Polynomial and Rational Inequalities
385(13)
Chapter Review
391(3)
Chapter Test
394(1)
Cumulative Review
395(1)
Chapter Projects
396(2)
6 Exponential and Logarithmic Functions
398(104)
6.1 Composite Functions
399(7)
6.2 One-to-One Functions; Inverse Functions
406(13)
6.3 Exponential Functions
419(17)
6.4 Logarithmic Functions
436(13)
6.5 Properties of Logarithms
449(9)
6.6 Logarithmic and Exponential Equations
458(7)
6.7 Financial Models
465(10)
6.8 Exponential Growth and Decay Models; Newton's Law; Logistic Growth and Decay Models
475(11)
6.9 Building Exponential, Logarithmic, and Logistic Models from Data
486(16)
Chapter Review
494(5)
Chapter Test
499(1)
Cumulative Review
500(1)
Chapter Projects
501(1)
7 Trigonometric Functions
502(99)
7.1 Angles and Their Measure
503(13)
7.2 Right Triangle Trigonometry
516(11)
7.3 Computing the Values of Trigonometric Functions of Acute Angles
527(12)
7.4 Trigonometric Functions of Any Angle
539(10)
7.5 Unit Circle Approach; Properties of the Trigonometric Functions
549(11)
7.6 Graphs of the Sine and Cosine Functions
560(15)
7.7 Graphs of the Tangent, Cotangent, Cosecant, and Secant Functions
575(7)
7.8 Phase Shift; Sinusoidal Curve Fitting
582(19)
Chapter Review
593(5)
Chapter Test
598(1)
Cumulative Review
599(1)
Chapter Projects
600(1)
8 Analytic Trigonometry
601(68)
8.1 The Inverse Sine, Cosine, and Tangent Functions
602(13)
8.2 The Inverse Trigonometric Functions (Continued)
615(6)
8.3 Trigonometric Equations
621(9)
8.4 Trigonometric Identities
630(8)
8.5 Sum and Difference Formulas
638(12)
8.6 Double-angle and Half-angle Formulas
650(10)
8.7 Product-to-Sum and Sum-to-Product Formulas
660(9)
Chapter Review
664(3)
Chapter Test
667(1)
Cumulative Review
667(1)
Chapter Projects
668(1)
9 Applications of Trigonometric Functions
669(44)
9.1 Applications Involving Right Triangles
670(5)
9.2 The Law of Sines
675(11)
9.3 The Law of Cosines
686(6)
9.4 Area of a Triangle
692(6)
9.5 Simple Harmonic Motion; Damped Motion; Combining Waves
698(15)
Chapter Review
707(2)
Chapter Test
709(1)
Cumulative Review
710(1)
Chapter Projects
711(2)
10 Polar Coordinates; Vectors
713(59)
10.1 Polar Coordinates
714(9)
10.2 Polar Equations and Graphs
723(16)
10.3 The Complex Plane; De Moivre's Theorem
739(8)
10.4 Vectors
747(13)
10.5 The Dot Product
760(12)
Chapter Review
767(3)
Chapter Test
770(1)
Cumulative Review
771(1)
Chapter Projects
771(1)
11 Analytic Geometry
772(68)
11.1 Conics
773(1)
11.2 The Parabola
774(9)
11.3 The Ellipse
783(11)
11.4 The Hyperbola
794(14)
11.5 Rotation of Axes; General Form of a Conic
808(8)
11.6 Polar Equations of Conics
816(6)
11.7 Plane Curves and Parametric Equations
822(18)
Chapter Review
835(3)
Chapter Test
838(1)
Cumulative Review
838(1)
Chapter Projects
839(1)
12 Systems of Equations and Inequalities
840(96)
12.1 Systems of Linear Equations: Substitution and Elimination
841(14)
12.2 Systems of Linear Equations: Matrices
855(15)
12.3 Systems of Linear Equations: Determinants
870(9)
12.4 Matrix Algebra
879(17)
12.5 Partial Fraction Decomposition
896(8)
12.6 Systems of Nonlinear Equations
904(10)
12.7 Systems of Inequalities
914(9)
12.8 Linear Programming
923(13)
Chapter Review
929(4)
Chapter Test
933(1)
Cumulative Review
934(1)
Chapter Projects
934(2)
13 Sequences; Induction; the Binomial Theorem
936(44)
13.1 Sequences
937(13)
13.2 Arithmetic Sequences
950(6)
13.3 Geometric Sequences; Geometric Series
956(9)
13.4 Mathematical Induction
965(4)
13.5 The Binomial Theorem
969(11)
Chapter Review
975(2)
Chapter Test
977(1)
Cumulative Review
978(1)
Chapter Projects
978(2)
14 Counting and Probability
980
14.1 Counting
981(5)
14.2 Permutations and Combinations
986(9)
14.3 Probability
995
Chapter Review
1005(2)
Chapter Test
1007(1)
Cumulative Review
1008(1)
Chapter Projects
1008
Answers 1(1)
Index 1
Michael Sullivan, Emeritus Professor of Mathematics at Chicago State University, received a Ph.D. in mathematics from the Illinois Institute of Technology. Mike taught at Chicago State for 35 years before recently retiring. He is a native of Chicagos South Side and divides his time between a home in Oak Lawn IL and a condo in Naples FL.

 

Mike is a member of the American Mathematical Society and the Mathematical Association of America. He is a past president of the Text and Academic Authors Association and is currently Treasurer of its Foundation. He is a member of the TAA Council of Fellows and was awarded the TAA Mike Keedy award in 1997 and the Lifetime Achievement Award in 2007. In addition, he represents TAA on the Authors Coalition of America.

 

Mike has been writing textbooks for more than 35 years and currently has 15 books in print, twelve with Pearson Education. When not writing, he enjoys tennis, golf, gardening, and travel.

 

Mike has four children: Kathleen, who teaches college mathematics; Michael III, who also teaches college mathematics, and who is his coauthor on two precalculus series; Dan, who is a sales director for Pearson Education; and Colleen, who teaches middle-school and secondary school mathematics. Twelve grandchildren round out the family.

 

Mike Sullivan III is a professor of mathematics at Joliet Junior College. He holds graduate degrees from DePaul University in both mathematics and economics. Mike is an author or co-author on more than 20 books, including a statistics book and a developmental mathematics series. Mike is the father of three children and an avid golfer who tries to spend as much of his limited free time as possible on the golf course.