Precalculus: Graphs and Models / Edition 3by Marvin L. Bittinger
Pub. Date: 03/28/2005
The Graphs and Models series by Bittinger, Beecher, Ellenbogen, and Penna is known for helping students “see the math” through its focus on visualization and technology. These texts continue to maintain the features that have helped students succeed for years: focus on functions, visual emphasis, side-by-side algebraic and graphical solutions/b>
The Graphs and Models series by Bittinger, Beecher, Ellenbogen, and Penna is known for helping students “see the math” through its focus on visualization and technology. These texts continue to maintain the features that have helped students succeed for years: focus on functions, visual emphasis, side-by-side algebraic and graphical solutions, and real-data applications.
With the Fifth Edition, visualization is taken to a new level with technology. The authors also integrate smartphone apps, encouraging readers to visualize the math. In addition, ongoing review has been added with new Mid-Chapter Mixed Review exercise sets and new Study Guide summaries to help students prepare for tests.
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Table of ContentsIntroduction to Graphs and the Graphing Calculator.
R. Basic Concepts of Algebra.
Integer Exponents, Scientific Notation, and Order of Operations.
Addition, Subtraction, and Multiplication of Polynomials.
Radical Notation and Rational Exponents.
The Basics of Equation Solving.
1. Graphs, Functions, and Models.
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.
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.
3. Polynomial and Rational Functions.
Polynomial Division; The Remainder and Factor Theorems.
Theorems about Zeros of Polynomial Functions.
Polynomial and Rational Inequalities.
4. Exponential and Logarithmic Functions.
Logarithmic Functions andGraphs.
Properties of Logarithmic Functions.
Solving Exponential and Logarithmic Equations.
Applications and Models: Growth and Decay.
5. The Trigonometric Functions.
Applications of Right Triangles.
Trigonometric Functions of Any Angle.
Radians, Arc Length, and Angular Speed.
Circular Functions: Graphs and Properties.
Graphs of Transformed Sine and Cosine Functions.
6. Trigonometric Identities, Inverse Functions, and Equations.
Identities: Cofunction, Double-Angle, and Half-Angle.
Proving Trigonometric Identities.
Inverses of the Trigonometric Functions.
Solving Trigonometric Equations.
7. Applications of Trigonometry.
The Law of Cosines.
Complex Numbers: Trigonometric Form.
Polar Coordinates and Graphs.
Vectors and Applications.
8. Systems and Matrices.
Systems of Equations in Three Variables.
Matrices and Systems of Equations.
Inverses of Matrices.
Systems of Inequalities and Linear Programming.
9. Conic Sections.
The Circle and the Ellipse.
Nonlinear Systems of Equations.
10. Sequences, Series, and Combinatorics.
Arithmetic Sequences and Series.
Geometric Sequences and Series.
The Binomial Theorem.
B. Determinants and Cramer's Rule.
C. Parametric Equations.
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