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College Algebra

by
Edition:
2nd
ISBN13:

9780077276492

ISBN10:
0077276493
Format:
Hardcover
Pub. Date:
1/8/2009
Publisher(s):
McGraw-Hill Science/Engineering/Math
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Summary

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 Essentials 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 Essentials 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.

Table of Contents

A Review of Basic Concepts and Skills
The Language, Notation, and Numbers of Mathematics
Algebraic Expressions and the Properties of Real Numbers
Exponents, Scientific Notation, and a Review of Polynomials
Factoring Polynomials
Rational Expressions
Radicals and Rational Exponents
Equations and Inequalities
Linear Equations, Formulas, and Problem Solving
Linear Inequalities in One Variable
Absolute Value Equations and Inequalities
Complex Numbers
Solving Quadratic Equations
Solving Other Types of Equation
Relations, Functions and Graphs
Rectangular Coordinates; Graphing Circles and Relations
Graphs of Linear Equations
Linear Equations and Rates of Change
Functions, Notation, and Graphs of Functions
Analyzing the Graph of a Function
Toolbox Functions and Transformations
Piecewise-Defined Functions
The Algebra and Composition of Functions
Polynomial and Rational Functions
Quadratic Functions and Applications
Synthetic Division; The Remainder and Factor Theorems
The Zeroes of Polynomial Functions
Graphing Polynomial Functions
Graphing Rational Functions
Additional Insights into Rational Functions
Polynomial and Rational Inequalities
Variation: Function Models in Action
Exponential and Logarithmic Functions
One-to-One and Inverse Functions
Exponential Functions
Logarithms and Logarithmic Functions
Properties of Logarithms; Solving Exponential and Logarithmic Equations
Applications from Business, Finance, and Science
Business, Finance, and Science Applications
Systems of Equations and Inequalities
Linear Systems in Two Variables with Applications
Linear Systems in Three Variables with Applications
Nonlinear Systems of Equations and Inequalities
Systems of Inequalities and Linear Programming
Matrices and Matrix Applications
Solving Systems Using Matrices and Row Operations
The Algebra of Matrices
Solving Linear Systems Using Matrix Equations
Applications of Matrices and Determinants:
Analytical Geometry and Conic Sections
Introduction to Analytic Geometry
The Circle and the Ellipse
The Hyperbola
The Analytic Parabola
Additional Topics in Algebra
Sequences and Series
Arithmetic Sequences
Geometric Sequences
Mathematical Induction
Counting Techniques
Introduction to Probability
The Binomial Theorem
Appendices
More on Synthetic Division
More on Matrices
Deriving the Equation of a Conic
Proof Positive
A Selection of Proofs from College Algebra
Table of Contents provided by Publisher. All Rights Reserved.


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