Intermediate Algebra for College Students, third edition, provides comprehensive, in-depth coverage of the topics required in a one-term course in intermediate algebra. The book is written for college students who have had a course in introductory algebra. The goal of the Blitzer Algebra series is to provide students with a strong foundation in Algebra. Each text is designed to develop students' critical thinking and problem-solving capabilities and prepare students for subsequent Algebra courses as well as service math courses. Topics are presented in an interesting and inviting format, incorporating real world sourced data and encouraging modeling and problem-solving.
(NOTE: (Each chapter ends with Group Projects, Summary, Review Exercises, Chapter test, and Cumulative Review Exercises.)
1. Algebra, Mathematical Models, and Problem Solving.
Algebraic Expressions and Real Numbers. Operations with Real Numbers and Simplifying Algebraic Expressions. Graphing Equations. Solving Linear Equations. Problem Solving and Using Formulas. Problems of Integral Exponents. Scientific Notation. 2. Functions and Linear Functions.
Introduction to Functions. The Algebra of Functions. Linear Functions and Slope. The Point-Slope Form of the Equation of a Line. 3. Systems of Linear Equations.
Systems of Linear Equations in Two Variables. Problem Solving and Business Applications Using Systems of Equations. Systems of Linear Equations in Three Variables. Matrix Solutions to Linear Systems. Determinants and Cramer's Rule. 4. Inequalities and Problem Solving.
Solving Linear Inequalities. Compound Inequalities. Equations and Inequalities Involving Absolute Value. Linear Inequalities in Two Variables. Linear Programming. 5.Polynomials, Polynomial Functions, and Factoring.
Introduction to Polynomials and Polynomial Functions. Multiplication of Polynomials. Greatest Common Factors and Factoring By Grouping. Factoring Trinomials. Factoring Special Forms. A General Factoring Strategy. Polynomial Equations and Their Applications. 6. Rational Expressions, Functions, and Equations.
Rational Expressions and Functions: Multiplying and Dividing. Adding and Subtracting Rational Expressions. Complex Rational Expressions. Division of Polynomials. Synthetic Division and the Remainder Theorem. Rational Equations. Formulas and Applications of Rational Equations. Modeling Using Variation. 7. Radicals, Radical Functions, and Rational Exponents.
Radical Expressions and Functions. Rational Exponents. Multiplying and Simplifying Radical Expressions. Adding, Subtracting, and Dividing Radical Expressions. Multiplying with More Than One Term and Rationalizing Denominators. Radical Equations. Complex Numbers. 8. Quadratic Equations and Functions.
The Square Root Property and Completing the Square. The Quadratic Formula. Quadratic Functions and Their Graphs. Equations Quadratic in Form. Quadratic and Rational Inequalities. 9. Exponential and Logarithmic Functions.
Exponential Functions. Composite and Inverse Functions. Logarithmic Functions. Properties of Logarithms. Exponential and Logarithmic Equations. Exponential Growth and Decay; Modeling Data. 10. Conic Sections and Nonlinear Systems of Equations.
Distance and Midpoint Formulas: Circles. The Ellipse. The Hyperbola. The Parabola; Identifying Conic Sections. Systems of Nonlinear Equations in Two Variables. 11. Sequences, Series, and the Binomial Theorem.
Sequences and Summation Notation. Arithmetic Sequences. Geometric Sequences and Series. The Binomial Theorem. Appendix: Review Problems Covering the Entire Book.