College Algebra （12TH）

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College Algebra （12TH）

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  • 製本 Hardcover:ハードカバー版／ページ数 848 p.
  • 言語 ENG
  • 商品コード 9781305652231
  • DDC分類 512

Full Description

Stay focused and practice the math skills you�ll need for success in other college courses and in your daily life with COLLEGE ALGEBRA, Twelfth Edition. This textbook has helped hundreds of thousands of students excel in the algebra course with its learning features and patient explanations. More than 400 worked examples include authors� notes, which explain the steps involved in the problem-solving process--and guide you to understanding and proficiency.

Contents

0. A REVIEW OF BASIC ALGEBRA.
Sets of Real Numbers. Integer Exponents and Scientific Notation. Rational Exponents and Radicals. Polynomials. Factoring Polynomials. Rational Expressions.
1. EQUATIONS AND INEQUALITIES.
Linear Equations and Rational Equations. Applications of Linear Equations. Complex Numbers. Quadratic Equations. Applications of Quadratic Equations. Other Types of Equations. Inequalities. Absolute Value. 2. FUNCTIONS AND GRAPHS.
Functions and Functional Notation. Rectangular Coordinate System and Graphing Lines. Linear Functions and Slope. Writing and Graphing Equations of Lines. Graphs of Equations and Circles. Proportion and Variation. 3. FUNCTIONS.
Graphs of Functions. Transformations of the Graphs of Functions. Piecewise-Defined Functions and Greatest-Integer Functions. Operations on Functions. Inverse functions.
4. POLYNOMIAL AND RATIONAL FUNCTIONS.
Quadratic Functions. Polynomial Functions. Synthetic Division; Remainder and Factor Theorems. Decartes� Rule of Signs and the Intermediate Value Theorem. Zeros of Polynomial Functions. Rational Functions. 5. EXPONENTIAL AND LOGARITHMIC FUNCTIONS.
Exponential Functions and Their Graphs. Applications of Exponential Functions. Logarithmic Functions and Their Graphs. Applications of Logarithmic Functions. Properties of Logarithms. Exponential and Logarithmic Equations.
6. LINEAR SYSTEMS.
Systems of Linear Equations. Gaussian Elimination and Matrix Methods. Matrix Algebra. Matrix Inversion. Determinants. Partial Fractions. Graphs of Inequalities. Linear Programming. 7. CONIC SECTIONS AND QUADRATIC SYSTEMS.
The Circle and the Parabola. The Ellipse. The Hyperbola. Solving Nonlinear Systems of Equations. 8. SEQUENCES, SERIES, AND PROBABILITY.
The Binomial Theorem. Sequences, Series, and Summation Notation. Arithmetic Sequences. Geometric Sequences. Mathematical Induction. Permutations and Combinations. Probability.
APPENDIX I A PROOF OF THE BINOMIAL THEOREM.