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The Barnett, Ziegler, Byleen College Algebra series is designed to be user friendly and to maximize student comprehension. The goal of this series is to emphasize computational skills, ideas, and problem solving rather than mathematical theory. College Algebra with Trigonometry, 7/E, introduces a right angle approach to trigonometry and can be used in one or two semester college algebra with trig or precalculus courses. The large number of pedagogical devices employed in this text will guide a student through the course. Integrated throughout the text, the students and instructors will find Explore-Discuss boxes which encourage students to think critically about mathematical concepts. In each section, the worked examples are followed by matched problems that reinforce the concept that is being taught. In addition, the text contains an abundance of exercises and applications that will convince students that math is useful. A Smart CD is packaged with the seventh edition of the book. This CD reinforces important concepts, and provides students with extra practice problems.

Tabla de contenidos provista por Syndetics

• Preface(p. ix)
• Chapter Dependencies(p. xx)
• To the Student(p. xxiv)
• Chapter 1 Basic Algebraic Operations(p. 1)
• 1-1 Algebra and Real Numbers(p. 2)
• 1-2 Polynomials: Basic Operations(p. 12)
• 1-3 Polynomials: Factoring(p. 23)
• 1-4 Rational Expressions: Basic Operations(p. 33)
• 1-5 Integer Exponents(p. 42)
• 1-6 Rational Exponents(p. 51)
• 1-7 Radicals(p. 57)
• Chapter 1 Group Activity: Rational Number Representations(p. 67)
• Chapter 1 Review(p. 67)
• Chapter 2 Equations and Inequalities(p. 73)
• 2-1 Linear Equations and Applications(p. 74)
• 2-2 Systems of Linear Equations and Applications(p. 89)
• 2-3 Linear Inequalities(p. 98)
• 2-4 Absolute Value in Equations and Inequalities(p. 109)
• 2-5 Complex Numbers(p. 119)
• 2-6 Quadratic Equations and Applications(p. 130)
• 2-7 Equations Reducible to Quadratic Form(p. 145)
• 2-8 Polynomial and Rational Inequalities(p. 153)
• Chapter 2 Group Activity: Rates of Change(p. 162)
• Chapter 2 Review(p. 163)
• 1 and 2 Cumulative Review Exercise(p. 168)
• Chapter 3 Graphs and Functions(p. 173)
• 3-1 Basic Tools; Circles(p. 174)
• 3-2 Straight Lines(p. 191)
• 3-3 Functions(p. 207)
• 3-4 Graphing Functions(p. 223)
• 3-5 Combining Functions(p. 241)
• 3-6 Inverse Functions(p. 258)
• Chapter 3 Group Activity: Mathematical Modeling in Business(p. 274)
• Chapter 3 Review(p. 276)
• Chapter 4 Polynomial and Rational Functions(p. 283)
• 4-1 Polynomial Functions and Graphs(p. 285)
• 4-2 Finding Rational Zeros of Polynomials(p. 297)
• 4-3 Approximating Real Zeros of Polynomials(p. 310)
• 4-4 Rational Functions(p. 322)
• 4-5 Partial Fractions(p. 337)
• Chapter 4 Group Activity: Interpolating Polynomials(p. 345)
• Chapter 4 Review(p. 347)
• Chapter 5 Exponential and Logarithmic Functions(p. 353)
• 5-1 Exponential Functions(p. 354)
• 5-2 The Exponential Function with Base e(p. 365)
• 5-3 Logarithmic Functions(p. 376)
• 5-4 Common and Natural Logarithms(p. 385)
• 5-5 Exponential and Logarithmic Equations(p. 395)
• Chapter 5 Group Activity: Growth of Increasing Functions(p. 405)
• Chapter 5 Review(p. 405)
• 3, 4, and 5 Cumulative Review Exercise(p. 408)
• Chapter 6 Trigonometric Functions(p. 413)
• 6-1 Angles and Their Measure(p. 414)
• 6-2 Acute Angle Domains(p. 423)
• 6-3 General Angle and Real Number Domains(p. 435)
• 6-4 Exact Values for Special Angles and Real Numbers(p. 444)
• 6-5 Circular Functions(p. 454)
• 6-6 Graphing Basic Trigonometric Functions(p. 466)
• 6-7 Graphing y = k + A sin (Bx + C) and y = k + A cos (Bx + C)(p. 477)
• 6-8 Graphing More General Tangent, Cotangent, Secant, and Cosecant Functions(p. 493)
• 6-9 Inverse Trigonometric Functions(p. 501)
• Chapter 6 Group Activity: A Predator-Prey Analysis Involving Mountain Lions and Deer(p. 514)
• Chapter 6 Review(p. 515)
• Chapter 7 Trigonometric Identities and Conditional Equations(p. 523)
• 7-1 Basic Identities and Their Use(p. 524)
• 7-2 Sum, Difference, and Cofunction Identities(p. 533)
• 7-3 Double-Angle and Half-Angle Identities(p. 543)
• 7-4 Product-Sum and Sum-Product Identities(p. 552)
• 7-5 Trigonometric Equations(p. 557)
• Chapter 7 Group Activity: From M sin Bt + N cos Bt to A sin (Bt + C)--A Harmonic Analysis Tool(p. 569)
• Chapter 7 Review(p. 571)
• Chapter 8 Additional Topics in Trigonometry(p. 577)
• 8-1 Law of Sines(p. 578)
• 8-2 Law of Cosines(p. 588)
• 8-3 Geometric Vectors(p. 596)
• 8-4 Algebraic Vectors(p. 603)
• 8-5 Polar Coordinates and Graphs(p. 613)
• 8-6 Complex Numbers in Rectangular and Polar Forms(p. 627)
• 8-7 De Moivre's Theorem(p. 635)
• Chapter 8 Group Activity: Conic Sections and Planetary Orbits(p. 641)
• Chapter 8 Review(p. 644)
• 6, 7, and 8 Cumulative Review Exercise(p. 651)
• Chapter 9 Systems of Equations and Inequalities(p. 657)
• 9-1 Systems of Linear Equations and Augmented Matrices(p. 658)
• 9-2 Gauss-Jordan Elimination(p. 676)
• 9-3 Systems Involving Second-Degree Equations(p. 690)
• 9-4 Systems of Linear Inequalities in Two Variables(p. 699)
• 9-5 Linear Programming(p. 712)
• Chapter 9 Group Activity: Modeling with Systems of Linear Equations(p. 723)
• Chapter 9 Review(p. 725)
• Chapter 10 Matrices and Determinants(p. 731)
• 10-1 Matrices: Basic Operations(p. 732)
• 10-2 Inverse of a Square Matrix(p. 746)
• 10-3 Matrix Equations and Systems of Linear Equations(p. 756)
• 10-4 Determinants(p. 766)
• 10-5 Properties of Determinants(p. 774)
• 10-6 Cramer's Rule(p. 781)
• Chapter 10 Group Activity: Using Matrices to Find Cost, Revenue and Profit(p. 786)
• Chapter 10 Review(p. 787)
• 9 and 10 Cumulative Review Exercise(p. 792)
• Chapter 11 Sequences and Series(p. 795)
• 11-1 Sequences and Series(p. 796)
• 11-2 Mathematical Induction(p. 804)
• 11-3 Arithmetic and Geometric Sequences(p. 812)
• 11-4 Binomial Formula(p. 825)
• 11-5 Multiplication Principle, Permutations, and Combinations(p. 833)
• Chapter 11 Group Activity: Sequences Specified by Recursion Formulas(p. 845)
• Chapter 11 Review(p. 845)
• Chapter 12 Additional Topics in Analytic Geometry(p. 849)
• 12-1 Conic Sections; Parabola(p. 850)
• 12-2 Ellipse(p. 860)
• 12-3 Hyperbola(p. 871)
• 12-4 Translation of Axes(p. 883)
• 12-5 Parametric Equations(p. 893)
• Chapter 12 Group Activity: Focal Chords(p. 900)
• Chapter 12 Review(p. 901)
• 11 and 12 Cumulative Review Exercise(p. 907)
• Appendices
• Appendix A Significant Digits(p. 1)
• Appendix B Geometric Formulas(p. 4)
• Answers(p. 7)
• Applications Index(p. 1)
• Subject Index(p. 3)

Notas de autor provistas por Syndetics

Raymond A. Barnett received his B.A. in mathematical statistics from the University of California at Berkeley and his M.A. in mathematics from the University of Southern California
Michael R. Ziegler received his B.S. from Shippensburg State College and his M.S. and Ph.D. from the University of Delaware. After completing postdoctoral work at the University of Kentucky, he was appointed to the faculty of Marquette University where he currently holds the rank of Professor in the Department of Mathematics, Statistics, and Computer Science
Karl E. Byleen received his B.S., M.A., and Ph.D. degrees in mathematics from the University of Nebraska. He is currently an Associate Professor in the Department of Mathematics, Statistics, and Computer Science of Marquette University