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College Algebra through Modeling and Visualization
ISBN: 9780321081377 | 0321081374
Edition: 2ndFormat: Hardcover
Publisher: Addison Wesley
Pub. Date: 1/1/2002
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College Algebra through Modeling and Visualization offers an innovative approach that consistently links mathematical concepts to real-world applications by moving from the concrete to the abstract. With a flexible approach to the rule of four (verbal, graphical, numerical, and symbolic methods), instructors can easily emphasize any aspects of the rule to meet their students' needs. There is an appropriate, flexible use of technology throughout the text, which helps students visualize mathematical concepts. However, technology use is not a requ... MORE
1. Introduction To Functions and Graphs.
2. Linear Functions and Equations.
3. Quadratic Functions and Equations.
4. Nonlinear Functions and Equations.
5. Exponential and Logarithmic Functions.
6. Systems of Equations and Inequalities.
7. Conic Sections.
8. Further Topics in Algebra.
R. Basic Algebraic Concepts.
Appendix A: A Library of Functions.
Appendix B: TI-83/Plus Graphing Calculators.
Numbers, Data, and Problem Solving.
Visualization of Data.
Functions and Their Representations.
Types of Functions and Their Rates of Change.
Visualization of Data.
Functions and Their Representations.
Types of Functions and Their Rates of Change.
2. Linear Functions and Equations.
Linear Functions and Models.
Equations of Lines.
Linear Equations and Problem Solving.
Linear Inequalities.
Piecewise-Defined Linear Functions.
Linear Approximation. ... MORE
Equations of Lines.
Linear Equations and Problem Solving.
Linear Inequalities.
Piecewise-Defined Linear Functions.
Linear Approximation. ... MORE
3. Quadratic Functions and Equations.
Quadratic Functions and Models.
Quadratic Equations and Problem Solving.
Quadratic Inequalities.
Transformations of Graphs.
Quadratic Equations and Problem Solving.
Quadratic Inequalities.
Transformations of Graphs.
4. Nonlinear Functions and Equations.
Nonlinear Functions and Their Graphs.
Polynomial Functions and Models.
Real Zeros of Polynomial Functions.
The Fundamental Theorem of Algebra.
Rational Functions and Models.
Polynomial and Rational Inequalities.
Power Functions and Radical Equations .
Polynomial Functions and Models.
Real Zeros of Polynomial Functions.
The Fundamental Theorem of Algebra.
Rational Functions and Models.
Polynomial and Rational Inequalities.
Power Functions and Radical Equations .
5. Exponential and Logarithmic Functions.
Combining Functions.
Inverse Functions and Their Representations.
Exponential Functions and Models.
Logarithmic Functions and Models.
Properties of Logarithms.
Exponential and Logarithmic Equations.
Constructing Nonlinear Models.
Inverse Functions and Their Representations.
Exponential Functions and Models.
Logarithmic Functions and Models.
Properties of Logarithms.
Exponential and Logarithmic Equations.
Constructing Nonlinear Models.
6. Systems of Equations and Inequalities.
Functions and Equations of More Than One Variable.
Linear Systems of Equations and Inequalities in Two Variables.
Solutions of Linear Systems Using Matrices.
Properties and Applications of Matrices.
Inverses of Matrices.
Determinants.
Linear Systems of Equations and Inequalities in Two Variables.
Solutions of Linear Systems Using Matrices.
Properties and Applications of Matrices.
Inverses of Matrices.
Determinants.
7. Conic Sections.
Parabolas.
Ellipses.
Hyperbolas.
Ellipses.
Hyperbolas.
8. Further Topics in Algebra.
Sequences.
Series.
Counting.
The Binomial Theorem.
Probability.
Series.
Counting.
The Binomial Theorem.
Probability.
R. Basic Algebraic Concepts.
Formulas from Geometry.
Circles.
Integer Exponents.
Polynomial Expressions.
Factoring Polynomials.
Rational Expressions.
Circles.
Integer Exponents.
Polynomial Expressions.
Factoring Polynomials.
Rational Expressions.
Appendix A: A Library of Functions.
Appendix B: TI-83/Plus Graphing Calculators.
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