College Algebra : Graphing and Data Analysis
The goal of this text is to motivate students by highlighting real people. It features actual employees from Motorola, along with hundreds of applications and real data sets highlighting the relevance and scope of activities a student may encounter in life. Students are expected to find functions that fit the data and both construct and implement elementary mathematical models. Of the three Sullivan series, this one is most intensive in graphing and modeling.
- Hardback | 761 pages
- 203.2 x 251.46 x 30.48mm | 1,610.24g
- 16 Aug 2000
- Pearson Education (US)
- United States
- 2nd edition
- illustrations (some colour)
Table of contents
(NOTE: Chapters end with Chapter Review and Chapter Projects.) 1. Equations and Inequalities. Rectangular Coordinates; Graphing Utilities. Introduction to Graphing Equations. Solving Equations Using A Graphing Utility; Linear Equations. Quadratic Equations. Setting Up Equations: Applications. Radical Equations; Equations Quadratic in Form. Linear Inequalities. Equations and Inequalities Involving Absolute Value. 2. Graphs. Symmetry: Graphing Key Equations. Lines. Scatter Diagrams; Linear Curve Fitting. Circles. Variation. 3. Functions. Functions. Characteristics of Functions. Library of Functions; Piecewise-Defined Functions. Graphing Techniques: Transformations. Operations on Functions; Composite Functions. Mathematical Models: Constructing Functions. 4. Polynomial and Rational Functions. Quadratic Functions; Curve Fitting. Power Functions; Curve Fitting. Polynomial Functions; Curve Fitting. Rational Functions I. Rational Functions II: Analyzing Graphs. 5. The Zeros of a Polynomial Function. The Real Zeros of Polynomial Function. Complex Numbers; Quadratic Equations with a Negative Discriminant. Complex Zeros; Fundamental Theorem of Algebra. Polynomial and Rational Inequalities. 6. Exponential and Logarithmic Functions. One-to-One Functions; Inverse Functions. Exponential Functions. Logarithmic Functions. Properties of Logarithms. Logarithmic and Exponential Equations. Compound Interest. Growth and Decay. Exponential, Logarithmic, and Logistic Curve Fitting. 7. Systems of Equations and Inequalities. Systems of Linear Equations: Two Equations Containing Two Unknowns. Systems of Linear Equations: Three Equations Containing Three Unknowns. Systems of Linear Equations: Matrices. Systems of Linear Equations: Determinants. Matrix Algebra. Systems of Linear Inequalities; Linear Programming. Partial Fraction Decomposition. 8. Sequences; Induction; The Binomial Theorem. Sequences. Arithmetic Sequences. Geometric Sequences; Geometric Series. Mathematical Induction. The Binomial Theorem. 9. Counting and Probability. Sets and Counting. Permutations and Combinations. Probability of Equally Likely Outcomes. Obtaining Probabilities from Data. 10. Conics. Preliminaries. The Parabola. The Ellipse. The Hyperbola. Systems of Nonlinear Equations. Appendix Review. Topics from Algebra. Integer Exponents. Polynomials. Polynomial Division; Synthetic Division. Factoring Polynomials. Rational Expressions. Radicals; Rational Exponents. Geometry Review.