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Precalculus

Precalculus


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About the Book

This Precalculus text is written in a friendly and an easy to understand manner in order to help students understand the concept presented. This feature combined with ample examples, various types of exercises, and well thought out, real-world applications give the student the right tools to succeed. There are specific features and exercise problems to incorporate graphing calculator technology for those interested, however the material is presented in a way so that it may be skipped for those not utilizing technology.

Table of Contents:
PreCalculusConcepts, Connections and ApplicationsChapter 1: Equations and Inequalities1.1 Linear Equations, Formulas and Problem Solving1.2 Linear Inequalities in One Variable with Applications1.3 Solving Polynomial and Other Equations1.4 Complex Numbers1.5 Solving Non-Factorable Quadratic EquationsChapter 2: Functions and Graphs2.1 Rectangular Coordinates and the Graph of a Line2.2 Relations, Functions and Graphs2.3 Linear Functions and Rates of Change2.4 Quadratic and Other Toolbox Functions2.5 Functions and Inequalities -- A Graphical View2.6 Regression, Technology and Data AnalysisChapter 3: Operations on Functions and Analyzing Graphs3.1 The Algebra and Composition of Functions3.2 One-to-One and Inverse Functions3.3 Toolbox Functions and Transformations3.4 Graphing General Quadratic Functions3.5 Asymptotes and Simple Rational Functions3.6 Toolbox Applicaitons: Direct and Inverse Variation3.7 Piecewise-Defined Functions3.8 Analyzing the Graph of a FunctionChapter 4: Polynomial and Rational Functions4.1 Polynomial Long Division and Synthetic Division4.2 The Remainder and Factor Theorems4.3 Zeroes of Polynomial Functions4.4 Graphing Polynomial Functions4.5 Graphing Rational Functions4.6 Additional Insights into Rational Functions4.7 Polynomial and Rational Inequalities - Analytical ViewChapter 5: Exponential and Logarithmic Functions5.1 Exponential Functions5.2 Logarithms and Logarithmic Functions5.3 The Natural Logarithmic Function and Properties of Logarithms5.4 Exponential/Logarithmic Equations and Applications5.5 Applications from Investment, Finance and Physical Science5.6 Exponential, Logarithmic and Logistic Regression ModelsChapter 6: An Introduction to Trigonometric Functions6.0 An Introduction to Cycles and Periodic Functions (on the Web)6.1 Radian Measure and the Trigonometric Functions6.3 Graphs of the Sine and Cosine Functions6.4 Graphs of the Tangent and Cotangent Functions6.5 Transformations and Applicaitons of Trigonometric Graphs6.6 Angle Measure, Special Triangles and Special Angles6.7 The Trigonmetry of Right Triangles6.8 Trigonometry and the Coordinate PlaneChapter 7: Trigonometric Identities, Inverses and Equations7.1 Fundamental Identities and Families of Identities7.2 Constructing and Verifying Identities7.3 The Sum and Difference Identities7.4 Double Angle, Half Angle and Product-to-Sum Identities7.5 The Inverse Trig Functions and their Application7.6 Solving Basic Trig Equations7.7 General Trig Equations and Applications7.8 Trigonometric Models and Sinusoidal RegressionChapter 8: Applications of Trigonometry8.1 Oblique Triangles and the Law of Sines8.2 Law of Sines and the Ambiguous Case8.3 the Law of Cosines8.4 Vectors and Vector Diagrams8.5 Vectors Applications and the Dot Product8.6 Complex Numbers in Trigonometric Form; Products and Quotients8.7 Demoivre's Theorem and the Nth Roots TheoremChapter 9: Systems of Equations and Inequalities9.1 Linear Systems in Two Variables with Applications9.2 Linear Systems in Three Variables with Applications9.3 Systems of Linear Inequalities and Linear Programming9.4 Systems and Absolute Value Equations and Inequalities9.5 Solving Linear Systems using Matrices and Row Operations9.6 The Algebra of Matrices9.7 Solving Linear Systems using Matrix Equations9.8 Matrix Applications: Cramer's Rule, Partial Fractions and MoreChapter 10: Topics From Analytical Geometry10.0 An Introdcution to Analytical Geometry (on the Web)10.1 The Circle and the Ellipse10.2 The Hyperbola10.3 Non-Linear Systems of Equations and Inequalities10.4 Foci and the Analytic Ellipse and Hyperbola10.5 The Analytic Parabola10.6 Polar Coordinates, Equations and Graphs10.7 More on the Conic Sections: Rotation of Axes and Polar Form10.8 Parametric Equations of GraphsChapter 11: Additional Topics In Algebra11.1 Sequences and Series11.2 Arithmetic Sequences11.3 Geometric Sequences11.4 Mathematical Induction11.5 Fundamentals of Quick-Counting11.6 Counting Techniques: Permutations and Combinations11.7 Introduction to Probability11.8 The Binomial Theorem and Binomial Probabilities11.9 Conditional Probability and Expected Value11.10 Probability and the Normal Curve - Applications for TodayChapter R: Review of Basic Concepts and SkillsR.1 The Language, Notation and Numbers of MathematicsR.2 Algebraic Expressions and the Properties of Real NumbersR.3 Exponents, Polynomials and Operations on PolynomialsR.4 Factoring PolynomialsR.5 Rational ExpressionsR.6 Radicals and Rational ExponentsR.7 Geometry Review with Unit ConversionsR.8 Expressions, Tables and Graphing Calculators

About the Author :
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 Bachelors 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 Whos Who Among Americas 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.


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Product Details
  • ISBN-13: 9780073229812
  • Publisher: McGraw-Hill Education - Europe
  • Publisher Imprint: McGraw-Hill Professional
  • Height: 262 mm
  • No of Pages: 1408
  • Spine Width: 48 mm
  • Width: 218 mm
  • ISBN-10: 0073229814
  • Publisher Date: 16 May 2006
  • Binding: SA
  • Language: English
  • Returnable: Y
  • Weight: 2762 gr


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