Algebra for College Students 5th Edition MathXL Tutorials on CD Series 1st Edition by Margaret L. Lial, John Hornsby, Terry McGinnis – Ebook PDF Instant Download/Delivery: 0321168305, 9780321168306
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Product details:
ISBN 10: 0321168305
ISBN 13: 9780321168306
Author: Margaret L. Lial, John Hornsby, Terry McGinnis
Table of contents:
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Review of the Real Number System
– Basic Concepts
– Operations on Real Numbers
– Exponents, Roots, and Order of Operations
– Properties of Real Numbers -
Linear Equations, Inequalities, and Applications
– Linear Equations in One Variable
– Formulas
– Applications of Linear Equations
– Further Applications of Linear Equations
– Summary Exercises on Solving Applied Problems
– Linear Inequalities in One Variable
– Set Operations and Compound Inequalities
– Absolute Value Equations and Inequalities
– Summary Exercises on Solving Linear and Absolute Value Equations and Inequalities -
Graphs, Linear Equations, and Functions
– The Rectangular Coordinate System
– The Slope of a Line
– Linear Equations in Two Variables
– Linear Inequalities in Two Variables
– Introduction to Functions
– Variation -
Systems of Linear Equations
– Systems of Linear Equations in Two Variables
– Systems of Linear Equations in Three Variables
– Applications of Systems of Linear Equations
– Solving Systems of Linear Equations by Matrix Methods
– Determinants and Cramer’s Rule -
Exponents, Polynomials, and Polynomial Functions
– Integer Exponents and Scientific Notation
– Adding and Subtracting Polynomials
– Polynomial Functions
– Multiplying Polynomials
– Dividing Polynomials -
Factoring
– Greatest Common Factors; Factoring by Grouping
– Factoring Trinomials
– Special Factoring
– A General Approach to Factoring
– Solving Equations by Factoring -
Rational Expressions and Functions
– Rational Expressions and Functions; Multiplying and Dividing
– Adding and Subtracting Rational Expressions
– Complex Fractions
– Equations with Rational Expressions and Graphs
– Summary Exercises on Operations and Equations with Rational Expressions
– Applications of Rational Expressions -
Roots, Radicals, and Root Functions
– Radical Expressions and Graphs
– Rational Exponents
– Simplifying Radical Expressions
– Adding and Subtracting Radical Expressions
– Multiplying and Dividing Radical Expressions
– Summary Exercises on Operations with Radicals
– Solving Equations with Radicals
– Complex Numbers -
Quadratic Equations and Inequalities
– The Square Root Property and Completing the Square
– The Quadratic Formula
– Equations Quadratic in Form
– Summary Exercises on Solving Quadratic Equations
– Formulas and Further Applications
– Quadratic and Rational Inequalities -
Additional Functions and Relations
– Operations and Composition
– Graphs of Quadratic Functions
– More about Parabolas; Applications
– Symmetry; Increasing and Decreasing Functions
– Piecewise Linear Functions -
Inverse, Exponential, and Logarithmic Functions
– Inverse Functions
– Exponential Functions
– Logarithmic Functions
– Properties of Logarithms
– Common and Natural Logarithms
– Exponential and Logarithmic Equations; Further Applications -
More on Polynomial and Rational Functions
– Synthetic Division
– Zeros of Polynomial Functions
– Graphs and Applications of Polynomial Functions
– Summary Exercises on Polynomial Functions and Graphs
– Graphs and Applications of Rational Functions -
Conic Sections
– The Circle and the Ellipse
– The Hyperbola; Conic Sections
– Nonlinear Systems
– Second-Degree Inequalities, Systems of Inequalities, and Linear Programming -
Further Topics in Algebra
– Sequences and Series
– Arithmetic Sequences
– Geometric Sequences
– The Binomial Theorem
– Mathematical Induction
– Counting Theory
– Basics of Probability -
Appendix A – An Introduction to Calculators
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Appendix B – Properties of Matrices
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Appendix C – Matrix Inverses
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Answers to Selected Exercises
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Tags: Margaret Lial, John Hornsby, Terry McGinnis, Algebra for College


