College algebra
著者
書誌事項
College algebra
J. Wiley, c2012
3rd ed
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注記
Includes indexes
内容説明・目次
内容説明
The 3rd edition of Cynthia Young's College Algebra brings together all the elements that have allowed instructors and learners to successfully "bridge the gap" between classroom instruction and independent homework by overcoming common learning barriers and building confidence in students' ability to do mathematics. Written in a clear, voice that speaks to students and mirrors how instructors communicate in lecture, Young's hallmark pedagogy enables students to become independent, successful learners.
WileyPLUS sold separately from text.
目次
- 0 Prerequisites and Review 2 0.1 Real Numbers 4 0.2 Integer Exponents and Scientific Notation 18 0.3 Polynomials: Basic Operations 28 0.4 Factoring Polynomials 37 0.5 Rational Expressions 48 0.6 Rational Exponents and Radicals 63 0.7 Complex Numbers 73 Inquiry-Based Learning Project 81 Review 83 Review Exercises 86 Practice Test 88 1 Equations and Inequalities 90 1.1 Linear Equations 92 1.2 Applications Involving Linear Equations 102 1.3 Quadratic Equations 116 1.4 Other Types of Equations 130 1.5 Linear Inequalities 140 1.6 Polynomial and Rational Inequalities 151 1.7 Absolute Value Equations and Inequalities 162 Inquiry-Based Learning Project 170 Modeling Our World 172 Review 173 Review Exercises 174 Practice Test 178 Cumulative Test 179 2 Graphs 180 2.1 Basic Tools: Cartesian Plane, Distance, and Midpoint 182 2.2 Graphing Equations: Point-Plotting, Intercepts, and Symmetry 190 2.3 Lines 204 2.4 Circles 221 2.5 Linear Regression: Best Fit 230 Inquiry-Based Learning Project 256 Modeling Our World 258 Review 260 Review Exercises 261 Practice Test 264 Cumulative Test 265 3 Functions and Their Graphs 266 3.1 Functions 268 3.2 Graphs of Functions
- Piecewise-Defined Functions
- Increasing and Decreasing Functions
- Average Rate of Change 287 3.3 Graphing Techniques: Transformations 308 3.4 Operations on Functions and Composition of Functions 323 3.5 One-to-One Functions and Inverse Functions 334 3.6 Modeling Functions Using Variation 350 Inquiry-Based Learning Project 361 Modeling Our World 363 Review 364 Review Exercises 366 Practice Test 371 Cumulative Test 373 4 Polynomial and Rational Functions 374 4.1 Quadratic Functions 376 4.2 Polynomial Functions of Higher Degree 394 4.3 Dividing Polynomials: Long Division and Synthetic Division 410 4.4 The Real Zeros of a Polynomial Function 419 4.5 Complex Zeros: The Fundamental Theorem of Algebra 435 4.6 Rational Functions 445 Inquiry-Based Learning Project 466 Modeling Our World 467 Review 469 Review Exercises 472 Practice Test 476 Cumulative Test 477 5 Exponential and Logarithmic Functions 478 5.1 Exponential Functions and Their Graphs 480 5.2 Logarithmic Functions and Their Graphs 496 5.3 Properties of Logarithms 512 5.4 Exponential and Logarithmic Equations 521 5.5 Exponential and Logarithmic Models 532 Inquiry-Based Learning Project 544 Modeling Our World 545 Review 547 Review Exercises 549 Practice Test 552 Cumulative Test 553 6 Systems of Linear Equations and Inequalities 554 6.1 Systems of Linear Equations in Two Variables 556 6.2 Systems of Linear Equations in Three Variables 573 6.3 Partial Fractions 586 6.4 Systems of Linear Inequalities in Two Variables 598 6.5 The Linear Programming model 610 Inquiry-Based Learning Project 618 Modeling Our World 619 Review 621 Review Exercises 623 Practice Test 626 Cumulative Test 627 7 Matrices 628 7.1 Matrices and Systems of Linear Equations 630 7.2 Matrix Algebra 653 7.3 Matrix Equations
- The Inverse of a Square Matrix 667 7.4 The Determinant of a Square Matrix and Cramers Rule 681 Inquiry-Based Learning Project 696 Modeling Our World 697 Review 699 Review Exercises 702 Practice Test 705 Cumulative Test 707 8 Conics and Systems of Nonlinear Equations and Inequalities 708 8.1 Conic Basics 710 8.2 The Parabola 713 8.3 The Ellipse 726 8.4 The Hyperbola 739 8.5 Systems of Nonlinear Equations 752 8.6 Systems of Nonlinear Inequalities 763 Inquiry-Based Learning Application 771 Modeling Our World 773 Review 774 Review Exercises 777 Practice Test 780 Cumulative Test 781 9 Sequences, Series, and Probability 782 9.1 Sequences and Series 784 9.2 Arithmetic Sequences and Series 795 9.3 Geometric Sequences and Series 804 9.4 Mathematical Induction 816 9.5 The Binomial Theorem 821 9.6 Counting, Permutations, and Combinations 829 9.7 Probability 839 Inquiry-Based Learning Project 849 Modeling Our World 851 Review 852 Review Exercises 854 Practice Test 858 Cumulative Test 859 Answers to Odd Numbered Exercises 860 Applications Index 929 Subject Index 933
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