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College Algebra - Julie Miller, Donna Gerken

College Algebra

Buch | Hardcover
864 Seiten
2016 | 2nd edition
McGraw-Hill Inc.,US (Verlag)
978-0-07-783634-4 (ISBN)
CHF 389,95 inkl. MwSt
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When Julie Miller began writing her successful developmental math series, one of her primary goals was to bridge the gap between preparatory courses and college algebra. For thousands of students, the Miller/O’Neill/Hyde (or M/O/H) series has provided a solid foundation in developmental mathematics. With the Miller College Algebra series, Julie has carried forward her clear, concise writing style; highly effective pedagogical features; and complete author-created technological package to students in this course area. The main objectives of the college algebra series are three-fold:•Provide students with a clear and logical presentation of the basic concepts that will prepare them for continued study in mathematics.•Help students develop logical thinking and problem-solving skills that will benefit them in all aspects of life. •Motivate students by demonstrating the significance of mathematics in their lives through practical applications.

Julie Miller is from Daytona State College, where she has taught developmental and upper-level mathematics courses for 20 years. Prior to her work at Daytona State College, she worked as a software engineer for General Electric in the area of flight and radar simulation. Julie earned a bachelor of science in applied mathematics from Union College in Schenectady, New York, and a master of science in mathematics from the University of Florida. In addition to this textbook, she has authored several course supplements for college algebra, trigonometry, and precalculus, as well as several short works of fiction and nonfiction for young readers. My father is a medical researcher, and I got hooked on math and science when I was young and would visit his laboratory. I can remember using graph paper to plot data points for his experiments and doing simple calculations. He would then tell me what the peaks and features in the graph meant in the context of his experiment. I think that applications and hands-on experience made math come alive for me and Id like to see math come alive for my students.

College Algebra 2e
Chapter R: Review of Prerequisites
Section R.1 Sets and the Real Number Line
Section R.2 Integer Exponents and Scientific Notation
Section R.3 Rational Exponents and Radicals
Section R.4 Polynomials and Multiplication of Radicals
Problem Recognition Exercises: Simplifying Algebraic Expressions


Section R.5 Factoring
Section R.6 Rational Expressions and More Operations on Radicals
Algebra for Calculus


Chapter 1: Equations and Inequalities
Section 1.1 Linear Equations and Rational Equations
Section 1.2 Applications with Linear and Rational Equations
Section 1.3 Complex Numbers
Section 1.4 Quadratic Equations
Problem Recognition Exercises: Simplifying Expressions Versus Solving Equations


Section 1.5 Applications of Quadratic Equations
Section 1.6 More Equations and Applications
Section 1.7 Linear, Compound, and Absolute Value InequalitiesProblem Recognition Exercises: Recognizing and Solving Equations and Inequalities

Equations and Inequalities for Calculus

Chapter 2: Functions and Relations
Section 2.1 The Rectangular Coordinate System and Graphing Utilities
Section 2.2 Circles
Section 2.3 Functions and Relations
Section 2.4 Linear Equations in Two Variables and Linear Functions
Section 2.5 Applications of Linear Equations and Modeling
Problem Recognition Exercises: Comparing Graphs of Equations

Section 2.6 Transformations of Graphs
Section 2.7 Analyzing Graphs of Functions and Piecewise-Defined Functions
Section 2.8 Algebra of Functions and Function Composition
Chapter 3: Polynomial and Rational Functions
Section 3.1 Quadratic Functions and Applications
Section 3.2 Introduction to Polynomial Functions
Section 3.3 Division of Polynomials and the Remainder and Factor TheoremsSection 3.4 Zeros of PolynomialsSection 3.5 Rational Functions
Problem Recognition Exercises: Polynomial and Rational Functions

Section 3.6 Polynomial and Rational InequalitiesProblem Recognition Exercises: Solving Equations and Inequalities

Section 3.7 Variation
Chapter 4: Exponential and Logarithmic FunctionsSection 4.1 Inverse FunctionsSection 4.2 Exponential FunctionsSection 4.3 Logarithmic FunctionsProblem Recognition Exercises: Analyzing Functions

Section 4.4 Properties of LogarithmsSection 4.5 Exponential and Logarithmic Equations and Applications
Section 4.6 Modeling with Exponential and Logarithmic FunctionsChapter 5: Systems of Equations and InequalitiesSection 5.1 Systems of Linear Equations in Two Variables and ApplicationsSection 5.2 Systems of Linear Equations in Three Variables and ApplicationsSection 5.3 Partial Fraction DecompositionSection 5.4 Systems of Nonlinear Equations in Two VariablesSection 5.5 Inequalities and Systems of Inequalities in Two VariablesProblem Recognition Exercises: Equations and Inequalities in Two Variables

Section 5.6 Linear ProgrammingChapter 6: Matrices and Determinants and ApplicationsSection 6.1 Solving Systems of Linear Equations Using MatricesSection 6.2 Inconsistent Systems and Dependent EquationsSection 6.3 Operations on MatricesSection 6.4 Inverse Matrices and Matrix EquationsSection 6.5 Determinants and Cramer’s RuleProblem Recognition Exercises: Using Multiple Methods to Solve Systems of Linear Equations

Chapter 7: Analytic GeometrySection 7.1 The EllipseSection 7.2 The HyperbolaSection 7.3 The ParabolaProblem Recognition Exercises: Comparing Equations of Conic Sections and the General Equation

Chapter 8: Sequences, Series, Induction, and ProbabilitySection 8.1 Sequences and SeriesSection 8.2 Arithmetic Sequences and SeriesSection 8.3 Geometric Sequences and SeriesProblem Recognition Exercises: Comparing Arithmetic and Geometric Sequences and Series

Section 8.4 Mathematical InductionSection 8.5 The Binomial TheoremSection 8.6 Principles of CountingSection 8.7 Introduction to ProbabilityAppendix A: Additional Topics Appendix (Online only)

Erscheint lt. Verlag 16.2.2016
Verlagsort New York
Sprache englisch
Maße 221 x 279 mm
Gewicht 2046 g
Themenwelt Mathematik / Informatik Mathematik Algebra
ISBN-10 0-07-783634-0 / 0077836340
ISBN-13 978-0-07-783634-4 / 9780077836344
Zustand Neuware
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