Summary Notebook for Trigsted College Algebra

by Trigsted, Kirk

• ISBN13: 9780131744691
• ISBN10: 0131744690
• Edition: 1st
• Format: Paperback
• Copyright: 2009-02-04
• Publisher: Pearson

Summary

College Algebra, by Kirk Trigsted, is the first text written from the ground up to take full advantage of the tools and functionality of MyMathLab. The author draws on his many years of teaching experience and MyMathLab usage to write and design an e-book that works with the way students think and behave online. Building on well-tested content, the intuitive approach keeps students motivated and engaged with timely hyperlinks to definitions and multimedia learning aids. In addition to creating a first rate text, Kirk has also scripted all of his own animations and videos so that all learning aids have a consistent approach and tone. By integrating technology with mathematics education, Kirk Trigsteds College Algebra is the new online choice for students everywhere.

Table of Contents

Chapter R. Review

Real Numbers

Understanding the Real Number System

Writing Sets Using Set-Builder Notation and Interval Notation

Determining the Intersection and Union of Sets and Intervals

Understanding Absolute Value

The Order of Operations and Algebraic Expressions

Understanding the Properties of Real Numbers

Using Exponential Notation

Using the Order of Operations to Simplify Numeric and Algebraic Expressions

The Laws of Exponents; Radicals

Simplifying Exponential Expressions Involving Integer Exponents

Simplifying Radical Expressions

Simplifying Exponential Expressions Involving Rational Exponents

Polynomials

Understanding the Definition of a Polynomial

Adding and Subtracting Polynomials

Multiplying Polynomials

Dividing Polynomials Using Long Division

Factoring Polynomials

Factoring a Greatest Common Factor

Factoring by Grouping

Factoring Trinomials with a Leading Coefficient Equal to One

Factoring Trinomials with a Leading Coefficient Not Equal to One

Factoring Using Special Factoring Formulas

Rational Expressions

Simplifying Rational Expressions

Multiplying and Dividing Rational Expressions

Adding and Subtracting Rational Expressions

Simplifying Complex Rational Expressions

Equations, Inequalities, and Applications

Linear Equations1 Recognizing Linear Equations

Solving Linear Equations with Integer Coefficients

Solving Linear Equations Involving Factions

Solving Linear Equations Involving Decimals

Solving Equations That Lead to linear Equations

Appications if Linear Equations

Converting Verbal Statements into Mathematical Statements

Solving Applications Involving Unknown Numeric Quantities

Solving Applications Involving Decimal Equations (Money, Mixture, Interest)

Solving Applied Problems Involving Distance, Rate, and Time

Solving Applied Working Together Problems

Complex Numbers

Simplifying Powers of i

Adding and Subtracting Complex Numbers

Multiplying Complex Numbers

Finding the Quotient of Complex Numbers

Simplifying Radicals with negative Radicands

Quadratic Equations

Solving Quadratic Equations by Factoring and the Zero Product Property

Solving Quadratic Equations Using the Square Root Property

Solving Quadratic Equations by Completing the Square

Solving Quadratic Equations Using the Quadratic Formula

Using the Discriminant to Determine the Type of Solutions of a Quadratic Equation

Applications of Quadratic Equations

Solving Applications Involving Unknown Numeric Quantities

Using the Projectile Motion Model

Solving Geometric Applications

Solving Applications Involving Distance, Rate, and Time

Solving Working Together Applications

Other Types if Equations

Solving Higher-Order Polynomial Equations

Solving Equations That Are Quadratic in Form ("Disguised Quadratics")

Solving Equations Involving Radicals

Linear Inequalities

Solving Linear Inequalities

Solving Three-Part Inequalities

Solving Compound Inequalities

Solving Linear Inequality Word Problems

Absolute Value Equations and Inequalities

Solving an Absolute Value Equation

Solving an Absolute Value "Less Than" Inequality

Solving an Absolute Value "Greater Than" Inequality

Polynomial and Rational Inequalities

Solving Polynomial Inequalities

Solving Rational Inequalities

The Rectangular Coordinate System, Lines, and Circl

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