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Algebra and trigonometry : a graphing approach

Author: Dale E Varberg; Thomas D Varberg
Publisher: Upper Saddle River, N.J. : Prentice Hall, ©1996.
Edition/Format:   Print book : EnglishView all editions and formats
Database:WorldCat
Summary:

Covers traditional topics for algebra and trigonometry. The book emphasizes concepts that are valuable to other courses or applications, especially those that can be explored on a graphics calculator.  Read more...

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Additional Physical Format: Online version:
Varberg, Dale E.
Algebra and trigonometry.
Upper Saddle River, N.J. : Prentice Hall, ©1996
(OCoLC)654404096
Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Dale E Varberg; Thomas D Varberg
ISBN: 0133815757 9780133815757
OCLC Number: 32625113
Notes: Includes index.
Description: xii, 579 pages : illustrations ; 25 cm
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.
Responsibility: Dale Varberg, Thomas D. Varberg.

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