College Algebra
Graphs and Models
2nd Edition
Published on 1. March 2002
Book
Hardback
640 pages
978-0-201-61672-9 (ISBN)
Description
College Algebra: Graphs and Models, 2/e covers college-level algebra and is appropriate for a one-term, graphing calculator required, college algebra course. A course in intermediate algebra is a prerequisite for the text, although Chapter R provides sufficient review to unify the diverse backgrounds of most students. The approach of this text is more interactive than most precalculus texts and the goal of the author team is to enhance the learning process through the use of technology and to provide as much support and help for students as possible.
More details
Edition
2nd edition
Language
English
Place of publication
United States
Publishing group
Pearson Education (US)
Target group
Professional and scholarly
Weight
1379 gr
ISBN-13
978-0-201-61672-9 (9780201616729)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
New editions
Book
03/2005
3rd Edition
Pearson
€61.89
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Content
Introduction to Graphs and the Graphing Calculator.
R. Basic Concepts of Algebra.
The Real-Number System.
Integer Exponents, Scientific Notation, and Order of Operations.
Addition, Subtraction, and Multiplication of Polynomials.
Factoring.
Rational Expressions.
Radical Notation and Rational Exponents.
The Basics of Equation Solving.
1. Graphs, Functions, and Models.
Functions, Graphs, and Graphers.
Linear Functions, Slope, and Applications.
Modeling: Data Analysis, Curve Fitting, and Linear Regression.
More on Functions.
Symmetry and Transformations.
Variation and Applications.
Distance, Midpoints, and Circles.
2. Functions and Equations: Zeros and Solutions.
Zeros of Linear Functions and Models.
The Complex Numbers.
Zeros of Quadratic Functions and Models.
Analyzing Graphs of Quadratic Functions.
Modeling: Data Analysis, Curve Fitting, and Quadratic Regression.
Zeros and More Equation Solving.
Solving Inequalities.
3. Polynomial and Rational Functions.
Polynomial Functions and Models.
Polynomial Division; The Remainder and Factor Theorems.
Theorems about Zeros of Polynomial Functions.
Rational Functions.
Polynomial and Rational Inequalities.
4. Exponential and Logarithmic Functions.
Composite and Inverse Functions.
Exponential Functions and Graphs.
Logarithmic Functions and Graphs.
Properties of Logarithmic Functions.
Solving Exponential and Logarithmic Equations.
Applications and Models: Growth and Decay.
5. Systems and Matrices.
Systems of Equations in Two Variables.
Systems of Equations in Three Variables.
Matrices and Systems of Equations.
Matrix Operations.
Inverses of Matrices.
Systems of Inequalities and Linear Programming.
Partial Fractions.
6. Conic Sections.
The Parabola.
The Circle and the Ellipse.
The Hyperbola.
Nonlinear Systems of Equations.
7. Sequences, Series, and Combinatorics.
Sequences and Series.
Arithmetic Sequences and Series.
Geometric Sequences and Series.
Mathematical Induction.
Combinatorics: Permutations.
Combinatorics: Combinations.
The Binomial Theorem.
Probability.
Appendixes.
A. Descartes' Rule of Signs.
B. Determinants and Cramer's Rule.
C. Parametric Equations.
R. Basic Concepts of Algebra.
The Real-Number System.
Integer Exponents, Scientific Notation, and Order of Operations.
Addition, Subtraction, and Multiplication of Polynomials.
Factoring.
Rational Expressions.
Radical Notation and Rational Exponents.
The Basics of Equation Solving.
1. Graphs, Functions, and Models.
Functions, Graphs, and Graphers.
Linear Functions, Slope, and Applications.
Modeling: Data Analysis, Curve Fitting, and Linear Regression.
More on Functions.
Symmetry and Transformations.
Variation and Applications.
Distance, Midpoints, and Circles.
2. Functions and Equations: Zeros and Solutions.
Zeros of Linear Functions and Models.
The Complex Numbers.
Zeros of Quadratic Functions and Models.
Analyzing Graphs of Quadratic Functions.
Modeling: Data Analysis, Curve Fitting, and Quadratic Regression.
Zeros and More Equation Solving.
Solving Inequalities.
3. Polynomial and Rational Functions.
Polynomial Functions and Models.
Polynomial Division; The Remainder and Factor Theorems.
Theorems about Zeros of Polynomial Functions.
Rational Functions.
Polynomial and Rational Inequalities.
4. Exponential and Logarithmic Functions.
Composite and Inverse Functions.
Exponential Functions and Graphs.
Logarithmic Functions and Graphs.
Properties of Logarithmic Functions.
Solving Exponential and Logarithmic Equations.
Applications and Models: Growth and Decay.
5. Systems and Matrices.
Systems of Equations in Two Variables.
Systems of Equations in Three Variables.
Matrices and Systems of Equations.
Matrix Operations.
Inverses of Matrices.
Systems of Inequalities and Linear Programming.
Partial Fractions.
6. Conic Sections.
The Parabola.
The Circle and the Ellipse.
The Hyperbola.
Nonlinear Systems of Equations.
7. Sequences, Series, and Combinatorics.
Sequences and Series.
Arithmetic Sequences and Series.
Geometric Sequences and Series.
Mathematical Induction.
Combinatorics: Permutations.
Combinatorics: Combinations.
The Binomial Theorem.
Probability.
Appendixes.
A. Descartes' Rule of Signs.
B. Determinants and Cramer's Rule.
C. Parametric Equations.