Ö1. Special Factoring.
Factoring: A General Strategy.
Applications of Polynomial Equations.
5. Rational Expressions and Equations.
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 and Equations.
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. Functions and Graphs.
Introduction to Functions.
Graphs and Applications.
Finding Domain and Range.
The Algebra of Functions.
8. 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.
9. 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.
10. Conic Sections.
Conic Sections: Parabolas and Circles.
Conic Sections: Ellipses.
Conic Sections: Hyperbolas.
Nonlinear Systems of Equations.
Appendices.
A. Handling Dimension Symbols.
B. Determinants and Cramer's Rule.
C. Elimination Using Matrices.