Algebra: Form and Function, 2nd Edition offers a fresh approach to algebra that focuses on teaching readers how to truly understand the principles, rather than viewing them merely as tools for other forms of mathematics. Meant for a College Algebra course, Algebra: Form and Function, 2nd Edition is an introduction to one of the fundamental aspects of modern society. Algebraic equations describe the laws of science, the principles of engineering, and the rules of business. The power of algebra lies in the efficient symbolic representation of complex ideas, which also presents the main difficulty in learning it. It is easy to forget the underlying structure of algebra and rely instead on a surface knowledge of algebraic manipulations. Most students rely on surface knowledge of algebraic manipulations without understanding the underlying structure of algebra that allows them to see patterns and apply it to multiple situations: McCallum focuses on the structure from the start.
|Publisher:||Wiley, John & Sons, Incorporated|
|Edition description:||Preliminary Edition|
|Product dimensions:||10.30(w) x 8.50(h) x 0.30(d)|
Table of Contents
(Each chapter ends with a Summary, Review Exercises, Test, and an Internet Project.)
1. Algebraic Expressions.
Order and Absolute Value.
Polynomials; The Binomial Theorem.
2. Equations and Inequalities.
Linear Applications and Modeling.
Quadratic Applications and Modeling.
Other Types of Equations.
Absolute Value Equations and Inequalities.
3. Relations, Functions, and Graphs.
Equations of Lines; Curve Fitting.
Graphs of Relations and Functions.
General Graphing Techniques.
Operations and Composition.
4. Polynomial and Rational Functions.
Zeros of Polynomial Functions.
Polynomials Functions: Graphs, Applications, and Models.
Rational Functions: Graphs, Applications, and Models.
5. Exponential and Logarithmic Functions.
Evaluating Logarithms and the Change-of-Base Theorem.
Exponential and LogarithmicEquations.
Applications and Models of Exponential Growth and Decay.
6. Systems of Equations and Inequalities.
Matrix Solution of Linear Systems.
Determinant Solution of Linear Systems.
Systems of Inequalities and Linear Programming.
Properties of Matrices.
7. Analytic Geometry.
Summary of the Conic Sections.
8. Further Topics in Algebra.
Arithmetic Sequences and Series.
Geometric Sequences and Series.
The Binomial Theorem Revisited.
Basics of Probability.