College algebra
著者
書誌事項
College algebra
（McGraw-Hill international editions）（International student edition）
McGraw-Hill Higher Education, c2010
2nd ed
- : pbk
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注記
Includes index
内容説明・目次
内容説明
Three components contribute to a theme sustained throughout the Coburn Series: that of laying a firm foundation, building a solid framework, and providing strong connections. Not only does Coburn present a sound problem-solving process to teach students to recognize a problem, organize a procedure, and formulate a solution, the text encourages students to see beyond procedures in an effort to gain a greater understanding of the big ideas behind mathematical concepts.
Written in a readable, yet mathematically mature manner appropriate for college algebra level students, Coburn's College Algebra uses narrative, extensive examples, and a range of exercises to connect seemingly disparate mathematical topics into a cohesive whole. Coburn's hallmark applications are born out of the author's extensive experiences in and outside the classroom, and appeal to the vast diversity of students and teaching methods in this course area.
Benefiting from the feedback of hundreds of instructors and students across the country, College Algebra second edition, continues to emphasize connections in order to improve the level of student engagement in mathematics and increase their chances of success in college algebra.
目次
- Chapter R: A Review of Basic Concepts and SkillsR-1The Language, Notation, and Numbers of MathematicsR-2Algebraic Expressions and the Properties of Real NumbersR-3Exponents, Scientific Notation, and a Review of PolynomialsR-4Factoring PolynomialsR-5Rational ExpressionsR-6Radicals and Rational ExponentsChapter 1: Equations and Inequalities1-1Linear Equations, Formulas, and Problem Solving1-2Linear Inequalities in One Variable1-3Absolute Value Equations and Inequalities1-4Complex Numbers1-5Solving Quadratic Equations1-6Solving Other Types of EquationChapter 2: Relations, Functions and Graphs2-1Rectangular Coordinates
- Graphing Circles and Relations2-2Graphs of Linear Equations2-3Linear Equations and Rates of Change2-4Functions, Notation, and Graphs of Functions2-5Analyzing the Graph of a Function2-6Toolbox Functions and Transformations2-7Piecewise-Defined Functions2-8The Algebra and Composition of FunctionsChapter 3: Polynomial and Rational Functions3-1Quadratic Functions and Applications3-2Synthetic Division
- The Remainder and Factor Theorems3-3The Zeroes of Polynomial Functions3-4Graphing Polynomial Functions3-5Graphing Rational Functions3-6Additional Insights into Rational Functions3-7Polynomial and Rational Inequalities3-8Variation: Function Models in ActionChapter 4: Exponential and Logarithmic Functions4-1One-to-One and Inverse Functions4-2Exponential Functions4-3Logarithms and Logarithmic Functions4-4Properties of Logarithms
- Solving Exponential and Logarithmic Equations4-5Applications from Business, Finance, and ScienceChapter 5: Systems of Equations and Inequalities5-1Linear Systems in Two Variables with Applications5-2Linear Systems in Three Variables with Applications5-3Nonlinear Systems of Equations and Inequalities5-4Systems of Inequalities and Linear ProgrammingChapter 6: Matrices and Matrix Applications6-1Solving Systems Using Matrices and Row Operations6-2The Algebra of Matrices6-3Solving Linear Systems Using Matrix Equations6-4Applications of Matrices and Determinants: Chapter 7: Analytical Geometry and Conic Sections7-1Introduction to Analytic Geometry7-2The Circle and the Ellipse7-3The Hyperbola7-4The Analytic ParabolaChapter 8: Additional Topics in Algebra8-1Sequences and Series8-2Arithmetic Sequences8-3Geometric Sequences8-4Mathematical Induction8-5Counting Techniques8-6Introduction to Probability8-7The Binomial TheoremAPPENDICESA-1More on Synthetic DivisionA-2More on MatricesA-3Deriving the Equation of a ConicA-4Proof Positive - A Selection of Proofs from College Algebra
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