Algebra and Trigonometry

ISBN-10: 0077276515

ISBN-13: 9780077276515

Edition: 2nd 2010

Authors: John Coburn
List price: $97.99 Buy it from $20.16
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Description: 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 Algebra And Trigonometry 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, Algebra And Trigonometry 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.. .

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Book details

List price: $97.99
Edition: 2nd
Copyright year: 2010
Publisher: McGraw-Hill Higher Education
Publication date: 2/1/2009
Binding: Hardcover
Pages: 1152
Size: 9.00" wide x 11.25" long x 1.50" tall
Weight: 6.358
Language: English

John Coburn grew up in the Hawaiian Islands, the seventh of sixteen children. He received his Associate of Arts degree in 1977 from Windward Community College, where he graduated with honors. In 1979 he received a Bachelor’s Degree in Education from the University of Hawaii. After being lured into the business world for five years, he returned to his first love, accepting a teaching position in high school mathematics where he was recognized as Teacher of the Year in 1987. Soon afterward, the decision was made to seek a Masters Degree, which he received two years later from the University of Oklahoma. For the last fifteen years, he has been teaching mathematics at the Florissant Valley campus of St. Louis Community College, where he is now a full professor. During his tenure there he has received numerous nominations as an outstanding teacher by the local chapter of Phi Theta Kappa, two nominations to Who’s Who Among America’s Teachers and was recognized as Teacher of the year in 2004 by the Mathematics Educators of Greater St. Louis (MEGSL). He has made numerous presentations and local, state and national conferences on a wide variety of topics. His other loves include his family, music, athletics, games and all things beautiful, and hopes this love of life comes through in his writing, and serves to make the learning experience an interesting and engaging one for all students.

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 Equations
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
Introduction to Trigonometric Functions
Angle Measure, Special Triangles, and Special Angles
The Trigonometry of Right Triangles
Trigonometry and the Coordinate Plane
Unit Circles and the Trigonometric of Real Numbers
Graphs of Sine and Cosine Functions; Cosecant and Secant Functions
Graphs of Tangent and Cotangent Functions
Transformations and Applications of Trigonometric Graphs
Trigonometric Identities, Inverses, and Equations
Fundamental Identities and Families of Identities
Constructing and Verifying Identities
The Sum and Difference Identities
Double Angle, Half Angle & Product-to-Sum Identities
The Inverse Trigonometric Functions and Their Applications
Solving Basic Trigonometric Equations
General Trigonometric Equations and Applications
Applications of Trigonometry
Oblique Triangles and the Law of Sines
The Law of Cosines; Area of a Triangle
Vectors and Vector Diagrams
Vector Applications and the Dot Product
Complex Numbers in Trigonometric Form
DemoivreG++s Theorem and the Theorem on nth Roots
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: Cramer's Rule, Partial Fractions, and More
Analytical Geometry and Conic Sections
Introduction to Analytic Geometry
The Circle and the Ellipse
The Hyperbola
The Analytic Parabola
Polar Coordinates, Equations, and Graphs
More on Conic Sections: Rotation of Axes and Polar Form
Parametric Equations and Graphs
Additional Topics in Algebra
Sequenc
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