|Young, Cynthia Y.|
2009. 888 Seiten, Hardcover
ISBN 978-0-470-22272-0 - John Wiley & Sons
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The new 2nd edition of Cynthia Young's College Algebra continues to bridge the gap between in-class work and homework by helping students overcome common learning barriers and build confidence in their ability to do mathematics. The text features truly unique, strong pedagogy and is written in a clear, single voice that speaks directly to students and mirrors how instructors communicate in lectures. In this revision, Young enables students to become independent, successful learners by including hundreds of additional exercises, more opportunities to use technology, and a new themed modeling project that empowers students to apply what they have learned in the classroom to the world outside the classroom. The seamlessly integrated digital and print resources to accompany College Algebra 2e offer additional tools for both instructors and students in order to help students experience success.
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Prerequisites and Review.
0.1 Real Numbers.
0.2 Integer Exponents and Scientific Notation.
0.3 Polynomials: Basic Operations.
0.4 Factoring Polynomials.
0.5 Rational Expressions.
0.6 Rational Exponents and Radicals.
0.7 Complex Numbers.
1. Equations and Inequalities.
1.1 Linear Equations.
1.2 Applications Involving Linear Equations.
1.3 Quadratic Equations.
1.4 Other Types of Equations.
1.5 Linear Inequalities.
1.6 Polynomial and Rational Inequalities.
1.7 Absolute Value Equations and Inequalities.
2.1 Basic Tools: Cartesian Plane, Distance, and Midpoint.
2.2 Graphing Equations: Point-Plotting, Intercepts, and Symmetry.
3. Functions and Their Graphs.
3.2 Graphs of Functions; Piecewise-Defined Functions; Increasing and Decreasing Functions; Average Rate of Change.
3.3 Graphing Techniques: Transformations.
3.4 Operations on Functions and Composition of Functions.
3.5 One-to-One Functions and Inverse Functions.
3.6 Modeling Functions Using Variation.
4. Polynomial and Rational Functions.
4.1 Quadratic Functions.
4.2 Polynomial Functions of Higher Degree.
4.3 Dividing Polynomials: Long Division and Synthetic Division.
4.4 The Real Zeros of a Polynomial Function.
4.5 Complex Zeros: The Fundamental Theorem of Algebra.
4.6 Rational Functions.
5. Exponential and Logarithmic Functions.
5.1 Exponential Functions and Their Graphs.
5.2 Logarithmic Functions and Their Graphs.
5.3 Properties of Logarithms.
5.4 Exponential and Logarithmic Equations.
5.5 Exponential and Logarithmic Models.
6. Systems of Linear Equations and Inequalities.
6.1 Systems of Linear Equations in Two Variables.
6.2 Systems of Linear Equations in Three Variables.
6.3 Partial Fractions.
6.4 Systems of Linear Inequalities in Two Variables.
6.5 The Linear Programming Model.
7.1 Matrices and Systems of Linear Equations.
7.2 Matrix Algebra.
7.3 Matrix Equations; the Inverse of a Square Matrix.
7.4 The Determinant of a Square Matrix and Cramera (TM)s Rule.
8. Conics and Systems of Nonlinear Equations and Inequalities.
8.1 Conic Basics.
8.2 The Parabola.
8.3 The Ellipse.
8.4 The Hyperbola.
8.5 Systems of Nonlinear Equations.
8.6 Systems of Nonlinear Inequalities.
9. Sequences, Series, and Probability.
9.1 Sequences and Series.
9.2 Arithmetic Sequences and Series.
9.3 Geometric Sequences and Series.
9.4 Mathematical Induction.
9.5 The Binomial Theorem.
9.6 Counting, Permutations, and Combinations.
Answers to Odd Numbered Exercises.