Algebra and Trigonometry
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Algebra and Trigonometry: Graphs and Models, A Unit Circle Approach

Algebra and Trigonometry: Graphs and Models, A Unit Circle Approach


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About the Book

Algebra and Trigonometry: Graphs and Models, A Unit Circle Approach, 1/e covers college-level algebra and trigonometry and is appropriate for a one- or two-term, graphing calculator required, college algebra and trigonometry course. A course in intermediate algebra is a prerequisite for the text, although Chapter R provides sufficient review to unify the diverse backgrounds of most students. The approach of this text is more interactive than most algebra texts and the goal of the author team is to enhance the learning process through the use of technology and to provide as much support and help for students as possible.

Table of Contents:
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 Modeling. 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. Logarithmic Functions and Graphs. Properties of Logarithmic Functions. Solving Exponential and Logarithmic Equations. Applications and Models: Growth and Decay. 5. The Trigonometric Functions. The Unit Circle. Circular Functions: Graphs and Properties. Angles and Rotations. Trigonometric Functions Involving Angles and Rotations. Finding Trigonometric Functions Values. Graphs of Transformed Sine and Cosine Functions. 6. Trigonometric Identities, Inverse Functions, and Equations. Identities: Pythagorean and Sum and Difference. Identities: Cofunction, Double-Angle, and Half-Angle. Proving Trigonometric Identities. Inverses of the Trigonometric Functions. Solving Trigonometric Equations. 7. Triangles, Vectors, and Applications. Applications of Right Triangles. The Law of Sines. The Law of Cosines. Complex Numbers: Trigonometric Form. Vectors and Applications. Vector Operations. 8. 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. 9. Analytic Geometry Topics. The Parabola. The Circle and the Ellipse. The Hyperbola. Nonlinear Systems of Equations. Rotation of Axes. Polar Coordinates and Graphs. Polar Equations of Conics. Parametric Equations and Graphs. 10. 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. Appendixes. A. Descartes' Rule of Signs. B. Determinants and Cramer's Rule.


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Product Details
  • ISBN-13: 9780201703016
  • Publisher: Pearson Education (US)
  • Publisher Imprint: Pearson
  • Language: English
  • Sub Title: Graphs and Models, A Unit Circle Approach
  • ISBN-10: 0201703017
  • Publisher Date: 16 Aug 2001
  • Binding: Hardback
  • No of Pages: 832
  • Weight: 1792 gr


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Algebra and Trigonometry: Graphs and Models, A Unit Circle Approach
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