Название: Intermediate Algebra (12ed.) Автор: Bittinger M.,Beecher J.,Johnson B. Издательство: Pearson Education Жанр: Математика Год издания: 2015 Страниц: 929 ISBN: 978-0-321-92471-1, 0-321-92471-1 Язык: Английский Формат: PDF Размер: 49 Мб
The Bittinger Worktext Series recognizes that math hasn’t changed, but students–and the way they learn math–have. This latest edition continues the Bittinger tradition of objective-based, guided learning, while also integrating timely updates to the proven pedagogy. This edition has a greater emphasis on guided learning and helping students get the most out of all of the resources available, including new mobile learning resources, whether in a traditional lecture, hybrid, lab-based, or online course.
Это издание продолжает Биттингеровскую традицию объективного, управляемого обучения, а также интегрирует своевременные обновления проверенной педагогики. Это издание делает больший акцент на управляемом обучении и помогает студентам получить максимальную отдачу от всех доступных ресурсов, включая новые мобильные учебные ресурсы, будь то традиционная лекция, гибридный, лабораторный или онлайн-курс.
Index of Applications vii Preface xi R Review of Basic Algebra 1 Part 1 Operations R.1 ,e Set of Real Numbers 2 R.2 Operations with Real Numbers 11 R.3 Exponential Notation and Order of Operations 22 Part 2 Manipulations R.4 Introduction to Algebraic Expressions 31 R.5 Equivalent Algebraic Expressions 37 R.6 Simplifying Algebraic Expressions 45 R.7 Properties of Exponents and Scienti?c Notation 53 Summary and Review 65 Test 69 1 Solving Linear Equations and Inequalities 71 1.1 Solving Equations 72 1.2 Formulas and Applications 86 1.3 Applications and Problem Solving 95 Mid-Chapter Review 108 1.4 Sets, Inequalities, and Interval Notation 110 Translating for Success 119 1.5 Intersections, Unions, and Compound Inequalities 126 1.6 Absolute-Value Equations and Inequalities 138 Summary and Review 149 Test 155 2 Graphs, Functions, and Applications 157 2.1 Graphs of Equations 158 2.2 Functions and Graphs 172 2.3 Finding Domain and Range 186 Mid-Chapter Review 191 2.4 Linear Functions: Graphs and Slope 193 2.5 More on Graphing Linear Equations 204 Visualizing for Success 211 2.6 Finding Equations of Lines; Applications 216 Summary and Review 227 Test 236 Cumulative Review 239 3 Systems of Equations 241 3.1 Systems of Equations in Two Variables 242 3.2 Solving by Substitution 251 3.3 Solving by Elimination 257 3.4 Solving Applied Problems: Two Equations 266 Translating for Success 274 Mid-Chapter Review 279iv CONTENTS 3.5 Systems of Equations in ,ree Variables 281 3.6 Solving Applied Problems: ,ree Equations 288 3.7 Systems of Inequalities in Two Variables 295 Visualizing for Success 303 Summary and Review 308 Test 315 Cumulative Review 317 4 Polynomials and Polynomial Functions 319 4.1 Introduction to Polynomials and Polynomial Functions 320 4.2 Multiplication of Polynomials 331 4.3 Introduction to Factoring 342 4.4 Factoring Trinomials: x 2 + bx + c 348 Mid-Chapter Review 354 4.5 Factoring Trinomials: ax 2 + bx + c, a ? 1 356 4.6 Special Factoring 364 Visualizing for Success 370 4.7 Factoring: A General Strategy 375 4.8 Applications of Polynomial Equations and Functions 380 Translating for Success 387 Summary and Review 393 Test 399 Cumulative Review 401 5 Rational Expressions, Equations, and Functions 403 5.1 Rational Expressions and Functions: Multiplying, Dividing, and Simplifying 404 5.2 LCMs, LCDs, Addition, and Subtraction 416 5.3 Division of Polynomials 427 5.4 Complex Rational Expressions 435 Mid-Chapter Review 442 5.5 Solving Rational Equations 444 5.6 Applications and Proportions 452 Translating for Success 460 5.7 Formulas and Applications 466 5.8 Variation and Applications 470 Summary and Review 481 Test 487 Cumulative Review 489 6 Radical Expressions, Equations, and Functions 491 6.1 Radical Expressions and Functions 492 6.2 Rational Numbers as Exponents 503 6.3 Simplifying Radical Expressions 510 6.4 Addition, Subtraction, and More Multiplication 519 Mid-Chapter Review 525 6.5 More on Division of Radical Expressions 527 6.6 Solving Radical Equations 532 6.7 Applications Involving Powers and Roots 543 Translating for Success 545 6.8 ,e Complex Numbers 550 Summary and Review 561 Test 567 Cumulative Review 569 7 Quadratic Equations and Functions 571 7.1 ,e Basics of Solving Quadratic Equations 572 7.2 ,e Quadratic Formula 5867.3 Applications Involving Quadratic Equations 593 Translating for Success 599 7.4 More on Quadratic Equations 605 Mid-Chapter Review 614 7.5 Graphing f(x) = a(x - h) 2 + k 616 7.6 Graphing f(x) = ax 2 + bx + c 625 Visualizing for Success 630 7.7 Mathematical Modeling with Quadratic Functions 634 7.8 Polynomial Inequalities and Rational Inequalities 645 Summary and Review 653 Test 659 Cumulative Review 661
8 Exponential Functions and Logarithmic Functions 663 8.1 Exponential Functions 664 8.2 Composite Functions and Inverse Functions 678 8.3 Logarithmic Functions 695 8.4 Properties of Logarithmic Functions 706 Mid-Chapter Review 712 8.5 Natural Logarithmic Functions 714 Visualizing for Success 719 8.6 Solving Exponential Equations and Logarithmic Equations 723 8.7 Mathematical Modeling with Exponential Functions and Logarithmic Functions 730 Translating for Success 738 Summary and Review 744 Test 752 Cumulative Review 755 9 Conic Sections 757 9.1 Parabolas and Circles 758 9.2 Ellipses 771 Mid-Chapter Review 779 9.3 Hyperbolas 781 Visualizing for Success 785 9.4 Nonlinear Systems of Equations 789 Summary and Review 799 Test 805 Cumulative Review 807 Appendixes 813 A Fraction Notation 814 B Determinants and Cramer’s Rule 823 C Elimination Using Matrices 828 D !e Algebra of Functions 832 Answers A-1 Guided Solutions A-43 Glossary G-1 Index I-1
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Название: Intermediate Algebra (12ed.)