College Algebra with Applications for Business and Life Sciences

0. FUNDAMENTAL CONCEPTS OF ALGEBRA. Real Numbers: Order and Absolute Value. The Basic Rules of Algebra. Integer Exponents. Radicals and Rational Exponents. Polynomials and Special Products. Factoring. Fractional Expressions. 1. EQUATIONS AND INEQUALITIES. Linear Equations. Mathematical Modeling. Quadratic Equations. The Quadratic Formula. Other Types of Equations. Linear Inequalities. Other Types of Inequalities. 2. FUNCTIONS AND GRAPHS. Graphs of Equations. Lines in the Plane. Linear Modeling and Direct Variation. Functions. Graphs of Functions. Transformations of Functions. The Algebra of Functions. 3. POLYNOMIAL AND RATIONAL FUNCTIONS. Quadratic Functions and Models. Polynomial Functions of Higher Degree. Polynomial Division. Real Zeros of Polynomial Functions. Complex Numbers. The Fundamental Theorem of Algebra. Rational Functions. 4. EXPONENTIAL AND LOGARITHMIC FUNCTIONS. Inverse Functions. Exponential Functions. Logarithmic Functions. Properties of Logarithms. Solving Exponential and Logarithmic Equations. Exponential and Logarithmic Models. 5. SYSTEMS OF EQUATIONS AND INEQUALITIES. Solving Linear Systems Using Substitution. Solving Linear Systems Using Elimination. Linear Systems in Three or More Variables. Systems of Inequalities. Linear Programming. 6. MATRICES AND DETERMINANTS. Matrices and Linear Systems. Operations with Matrices. The Inverse of a Square Matrix. The Determinant of a Square Matrix. Applications of Matrices and Determinants. 7. SEQUENCES, SERIES, AND PROBABILITY. Sequences and Summation Notation. Arithmetic Sequences and Partial Sums. Geometric Sequences and Series. The Binomial Theorem. Counting Principles. Probability. Appendix A: An Introduction to Graphing Utilities. Appendix B: Conic Sections. Conic Sections. Conic Sections and Translations. Appendix C: Further Concepts in Statistics. Data and Linear Modeling. Measures of Central Tendency and Dispersion.