College algebra : graphs and models /
Raymond A. Barnett, Michael R. Ziegler, Karl E. Byleen.
- 2nd edition
- Boston ; New York : McGraw-Hill Higher Education, c2005.
- xxx, (various pagings) : ill. (some col.) ; 27 cm.
- Barnett, Ziegler, and Byleen's Precalculus series .
Contents;
1 Functions, Graphs, and Models 1.1 Using Graphing Utilities 1.2 Functions 1.3 Functions: Graphs and Properties 1.4 Functions: Graphs and Transformations 1.5 Operations on Functions; Composition 1.6 Inverse Functions
2 Modeling with Linear and Quadratic Functions 2.1 Linear Functions 2.2 Linear Equations and Models 2.3 Quadratic Functions 2.4 Complex Numbers 2.5 Quadratic Equations and Models 2.6 Additional Equation-Solving Techniques 2.7 Solving Inequalities
3 Polynomial and Rational Functions 3.1 Polynomial Functions and Models 3.2 Real Zeros and Polynomial Inequalities 3.3 Complex Zeros and Rational Zeros of Polynomials 3.4 Rational Functions and Inequalities
5 Modeling with Linear Systems 5.1 Systems of Linear Equations in Two Variables 5.2 Systems of Linear Equations and Augmented Matrices 5.3 Gauss-Jordan Elimination 5.4 Systems of Linear Inequalities 5.5 Linear Programming
6 Matrices and Determinants 6.1 Matrix Operations 6.2 Inverse of a Square Matrix 6.3 Matrix Equations and Systems of Linear Equations 6.4 Determinants 6.5 Properties of Determinants 6.6 Determinants and Cramer's Rule
7 Sequences, Induction, and Probability 7.1 Sequences and Series 7.2 Mathematical Induction 7.3 Arithmetic and Geometric Sequences 7.4 Multiplication Princple, Permutations, and Combinations 7.5 Sample Spaces and Probability 7.6 Binomial Formula
8 Additional Topics in Analytic Geometry 8.1 Conic Sections; Parabola 8.2 Ellipse 8.3 Hyperbola 8.4 Translation of Axes 8.5 Nonlinear Systems