John W Coburn, Coburn John

Precalculus

• Gebundenes Buch

Produktbeschreibung

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.

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Produktdetails

• Verlag: McGraw-Hill Companies
• Seitenzahl: 1408
• Erscheinungstermin: 24. März 2006
• Englisch
• Abmessung: 260mm x 220mm x 45mm
• Gewicht: 2835g
• ISBN-13: 9780073229812
• ISBN-10: 0073229814
• Artikelnr.: 21696400

Autorenporträt

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.

Inhaltsangabe

PreCalculus
Concepts, Connections and ApplicationsChapter 1: Equations and Inequalities
1.1 Linear Equations, Formulas and Problem Solving
1.2 Linear Inequalities in One Variable with Applications
1.3 Solving Polynomial and Other Equations
1.4 Complex Numbers
1.5 Solving Non-Factorable Quadratic Equations
Chapter 2: Functions and Graphs
2.1 Rectangular Coordinates and the Graph of a Line
2.2 Relations, Functions and Graphs
2.3 Linear Functions and Rates of Change
2.4 Quadratic and Other Toolbox Functions
2.5 Functions and Inequalities -- A Graphical View
2.6 Regression, Technology and Data Analysis
Chapter 3: Operations on Functions and Analyzing Graphs
3.1 The Algebra and Composition of Functions
3.2 One-to-One and Inverse Functions
3.3 Toolbox Functions and Transformations
3.4 Graphing General Quadratic Functions
3.5 Asymptotes and Simple Rational Functions
3.6 Toolbox Applicaitons: Direct and Inverse Variation
3.7 Piecewise-Defined Functions
3.8 Analyzing the Graph of a Function
Chapter 4: Polynomial and Rational Functions
4.1 Polynomial Long Division and Synthetic Division
4.2 The Remainder and Factor Theorems
4.3 Zeroes of Polynomial Functions
4.4 Graphing Polynomial Functions
4.5 Graphing Rational Functions
4.6 Additional Insights into Rational Functions
4.7 Polynomial and Rational Inequalities - Analytical View
Chapter 5: Exponential and Logarithmic Functions
5.1 Exponential Functions
5.2 Logarithms and Logarithmic Functions
5.3 The Natural Logarithmic Function and Properties of Logarithms
5.4 Exponential/Logarithmic Equations and Applications
5.5 Applications from Investment, Finance and Physical Science
5.6 Exponential, Logarithmic and Logistic Regression Models
Chapter 6: An Introduction to Trigonometric Functions
6.0 An Introduction to Cycles and Periodic Functions (on the Web)
6.1 Radian Measure and the Trigonometric Functionsand the Trigonometry of Real Numbers
6.3 Graphs of the Sine and Cosine Functions
6.4 Graphs of the Tangent and Cotangent Functions
6.5 Transformations and Applicaitons of Trigonometric Graphs
6.6 Angle Measure, Special Triangles and Special Angles
6.7 The Trigonmetry of Right Triangles
6.8 Trigonometry and the Coordinate Plane
Chapter 7: Trigonometric Identities, Inverses and Equations
7.1 Fundamental Identities and Families of Identities
7.2 Constructing and Verifying Identities
7.3 The Sum and Difference Identities
7.4 Double Angle, Half Angle and Product-to-Sum Identities
7.5 The Inverse Trig Functions and their Application
7.6 Solving Basic Trig Equations
7.7 General Trig Equations and Applications
7.8 Trigonometric Models and Sinusoidal Regression
Chapter 8: Applications of Trigonometry
8.1 Oblique Triangles and the Law of Sines
8.2 Law of Sines and the Ambiguous Case
8.3 the Law of Cosines
8.4 Vectors and Vector Diagrams
8.5 Vectors Applications and the Dot Product
8.6 Complex Numbers in Trigonometric Form; Products and Quotients
8.7 Demoivre's Theorem and the Nth Roots Theorem
Chapter 9: Systems of Equations and Inequalities
9.1 Linear Systems in Two Variables with Applications
9.2 Linear Systems in Three Variables with Applications
9.3 Systems of Linear Inequalities and Linear Programming
9.4 Systems and Absolute Value Equations and Inequalities
9.5 Solving Linear Systems using Matrices and Row Operations
9.6 The Algebra of Matrices
9.7 Solving Linear Systems using Matrix Equations
9.8 Matrix Applications: Cramer's Rule, Partial Fractions and More
Chapter 10: Topics From Analytical Geometry
10.0 An Introdcution to Analytical Geometry (on the Web)
10.1 The Circle and the Ellipse
10.2 The Hyperbola
10.3 Non-Linear Systems of Equations and Inequalities
10.4 Foci and the Analytic Ellipse and Hyperbola
10.5 The Analytic Parabola
10.6 Polar Coordinates, Equations and Graphs
10.7 More on the Conic Sections: Rotation of Axes and Polar Form
10.8 Parametric Equations of Graphs
Chapter 11: Additional Topics In Algebra
11.1 Sequences and Series
11.2 Arithmetic Sequences
11.3 Geometric Sequences
11.4 Mathematical Induction
11.5 Fundamentals of Quick-Counting
11.6 Counting Techniques: Permutations and Combinations
11.7 Introduction to Probability
11.8 The Binomial Theorem and Binomial Probabilities
11.9 Conditional Probability and Expected Value
11.10 Probability and the Normal Curve - Applications for TodayChapter
R: Review of Basic Concepts and Skills
R.1 The Language, Notation and Numbers of Mathematics
R.2 Algebraic Expressions and the Properties of Real Numbers
R.3 Exponents, Polynomials and Operations on Polynomials
R.4 Factoring Polynomials
R.5 Rational Expressions
R.6 Radicals and Rational Exponents
R.7 Geometry Review with Unit Conversions
R.8 Expressions, Tables and Graphing Calculators