ISBN13:978-0201616729 ISBN10: 0201616726 Edition/Copyright: 2ND 01 Cover: Hardback Publisher: Addison-Wesley Longman, Inc. Published: 08/28/2000 International: No
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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.
A. Descartes' Rule of Signs. B. Determinants and Cramer's Rule. C. Parametric Equations.
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