9780077276508

Precalculus

by
  • ISBN13:

    9780077276508

  • ISBN10:

    0077276507

  • Edition: 2nd
  • Format: Hardcover
  • Copyright: 2/13/2009
  • Publisher: McGraw-Hill Education

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Supplemental Materials

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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 Precalculus 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, Precalculus 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

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
Unit Circles and the Trigonometry 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
The Trigonometry of Right Triangles
Trigonometry and the Coordinate Plane
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
Partial Fraction Decomposition
Systems of Inequalities and Linear Programming
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, Geometry, and More
Analytical Geometry
Introduction to Analytic Geometry
The Circle and the Ellipse
The Hyperbola
The Analytic Parabola
Nonlinear Systems of Equations and Inequalities
Polar Coordinates, Equations, and Graphs
More on Conic Sections: Rotation of Axes and Polar Form
Parametric Equations and Graphs
Additional Topics in Algebra
Sequences and Series
Arithmetic Sequences
Geometric Sequences
Mathematical Induction
Counting Techniques
Introduction to Probability
The Binomial Theorem
Bridges to Calculus
An Introduction to Limits
Finding Limits Numerically and Graphically
Algebraic Methods for Finding Limits; One-Sided Limits and Continuity
Table of Contents provided by Publisher. All Rights Reserved.

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