Title:
Algebra and trigonometry : a graphing approach
Personal Author:
Publication Information:
Upper Saddle River, N.J. : Prentice Hall, 1996
ISBN:
9780133815757
Available:*
Library | Item Barcode | Call Number | Material Type | Item Category 1 | Status |
|---|---|---|---|---|---|
Searching... | 30000003845462 | QA155.7.E4 V37 1996 | Open Access Book | Book | Searching... |
On Order
Summary
Summary
This second in a series of three texts covers the traditional topical menu of Algebra and Trigonometry with a unique emphasis on topics that are valuable to other courses or other applications, especially those that can be explored and illustrated on a graphics calculator. It de-emphasizes the more manipulative skills in favor of visualization, graphing, data analysis, and modeling of problems from the physical world.
Table of Contents
| 1 Numbers, Calculations and Basic Algebra |
| The Integers and the Rational Numbers |
| Real Numbers and their Properties |
| Order and Averages |
| Exponents and their Properties |
| Polynomials and their Factors |
| Rational Expressions |
| The Complex Numbers |
| 2 Equations and Inequalities |
| Solving Equations Algebraically |
| Equations and Applications |
| Displaying Equations Geometrically |
| Graphs with Graphics Calculators |
| Inequalities and Absolute Values |
| Lines |
| Some Important Quadratic Curves |
| Linear Regression |
| 3 Functions and Their Graphs |
| The Function Concept |
| Linear Functions |
| Quadratic Functions |
| More on Graphics Calculators |
| Polynomial Functions |
| Rational Functions |
| Combinations of Functions |
| Inverse Functions |
| Special Functions |
| 4 Exponential and Logarithmic Functions |
| Exponential Functions |
| Logarithms and Logarithmic Functions |
| Scientific Applications |
| Business Applications |
| Nonlinear Regression |
| 5 The Trigonometric Functions |
| Right Triangle Trigonometry |
| General Angles and Arcs |
| The Sine and Cosine Functions |
| Graphs of the Sine and Cosine Functions |
| Four More Trigonometric Functions |
| Inverse Trigonometric Functions |
| 6 Trigonometric Identities, Equations and Laws |
| Basic Trigonometric Identities |
| Addition Identities |
| More Identities |
| Trigonometric Equations |
| The Law of Sines |
| The Law of Cosines |
| Vectors |
| 7 Systems of Equations and Inequalities |
| Equivalent Systems of Equations |
| Solving Systems Using Matrices |
| The Algebra of Matrices |
| Inverses of Matrices |
| Determinants |
| Systems of Inequalities |
| 8 Analytic Geometry |
| Parabolas |
| Ellipses |
| Hyperbolas |
| Rotations |
| Parametric Equations |
| Polar Coordinates |
| Polar Equations of Conics |
| 9 Sequences, Counting and Probability |
| Arithmetic Sequences and Sums |
| Geometric Sequences and Sums |
| General Sequences and Programming |
| Mathematical Induction |
| The Binomial Formula |
| Counting Ordered Arrangements |
| Counting Unordered Collections |
| Introduction to Probablility |
| Independence in Probability Problems |
| Answers to Selected Problems |
| Index |
