Bittinger (mathematics, Indiana U. and Purdue U.) uses a five step problem solving approach with real data applications to make algebra both straightforward and connected to everyday life. Detailed graphs and color drawings and photographs also help students to visualize mathematical concepts. The book is designed to assist in every step of curriculum, from review exercises with answers, to pre and post-tests. There are also a number of supplemental materials available for the instructor to use in conjunction with this text. Annotation c. Book News, Inc., Portland, OR (booknews.com)
Marvin Bittinger has been teaching math at the university level for more than thirty-eight years. Since 1968, he has been employed at Indiana University Purdue University Indianapolis, and is now professor emeritus of mathematics education. Professor Bittinger has authored over 190 publications on topics ranging from basic mathematics to algebra and trigonometry to applied calculus. He received his BA in mathematics from Manchester College and his PhD in mathematics education from Purdue University. Special honors include Distinguished Visiting Professor at the United States Air Force Academy and his election to the Manchester College Board of Trustees from 1992 to 1999. Professor Bittinger has also had the privilege of speaking at many mathematics conventions, most recently giving a lecture entitled "Baseball and Mathematics." His hobbies include hiking in Utah, baseball, golf, and bowling. In addition, he also has an interest in philosophy and theology, in particular, apologetics. Professor Bittinger currently lives in Carmel, Indiana with his wife Elaine. He has two grown and married sons, Lowell and Chris, and four granddaughters.
Solving Equations. Formulas and Applications. Applications and Problem Solving. Sets, Interval Notation, and Inequalities. Intersections, Unions, and Compound Inequalities. Absolute-Value Equations and Inequalities.
2. Graphs, Functions, and Applications.
Graphs of Equations. Linear Equations: Graphs and Slope. More on Graphing Linear Equations. Finding Equations of Lines. Mathematical Modeling with Linear Equations.
3. Systems of Equations.
Systems of Equations in Two Variables. Solving by Substitution or Elimination. Solving by Applications: Systems of Two Equations. Systems of Equations inThree Variables. Solving Applications: Systems of Three Equations. Systems of Linear Inequalities in Two Variables. Business and Economic Applications.
4. Polynomials and Polynomial Function.
Introduction to Polynomials and Polynomial Equations. Multiplication of Polynomials. Introduction to Factoring. Factoring Trinomials ax2 + bx + c, a Ö 1. Special Factoring. Factoring: A General Strategy. Applications of Polynomial Equations.
5. Rational Expressions, Equations and Functions.
Rational Expressions: Multiplying, Dividing, and Simplifying. LCMs, LCDs, Addition and Subtraction. Division of Polynomials. Complex Rational Expressions. Solving Rational Equations. Applications and Problem Solving. Formulas and Applications. Variation and Applications.
6. Radical Expressions, Equations and Functions.
Radical Expressions and Equations. Rational Numbers as Exponents. Simplifying Radical Expressions. Addition, Subtraction, and More Multiplication. More on Division of Radical Expressions. Solving Radical Equations. Applications Involving Powers and Roots. The Complex Numbers.
7. Quadratic Equations and Functions.
The Basics of Solving Quadratic Equations. The Quadratic Formula. Applications Involving Quadratic Equations. More on Quadratic Equations. Graphs of Quadratic Functions of the Type f(x) = a(x - h)2 + k. Graphs of Quadratic Functions of the Type f(x) = ax2 + bx + c. Mathematical Modeling with Quadratic Functions. Polynomial and Rational Inequalities.
8. Exponential and Logarithmic Functions.
Exponential Functions. Inverse and Composite Functions. Logarithmic Functions. Properties of Logarithmic Functions. Natural Logarithmic Functions. Solving Exponential and Logarithmic Equations. Mathematical Modeling with Exponential and Logarithmic Functions.
9. Conic Sections.
Conic Sections: Parabolas and Circles. Conic Sections: Ellipses. Conic Sections: Hyperbolas. Nonlinear Systems of Equations.
A. Handling Dimension Symbols. B. Determinants and Cramer's Rule. C. Elimination Using Matrices. D. The Algebra of Functions.