1. NONLINEAR SYSTEMS, CONIC SECTIONS, SEQUENCES, AND SERIES College Algebra

2. Nonlinear Systems of Equations Solving by elimination Applications

3. Parabolas Distance and midpoint formulas Geometric definition of parabola Developing the equation Parabolas in the form y = a(x - h) 2 + K Finding the vertex, focus, and directrix Axis of symmetry Changing forms Parabolas opening to the right or left

4. Circles The equation of a circle Equations not in standard form Systems of equations

5. Ellipses and Hyperbolas The ellipse The hyperbola

6. Second-Degree Inequalities Graphing a second-degree inequality Systems of inequalities

7. Sequences Finding a formula for the nth term

8. Series Summation notation Series Changing the index

9. Arithmetic Sequences and Series Arithmetic sequences Arithmetic series

10. Geometric Sequences and Series Geometric sequences Finite geometric series Infinite geometric series Applications

11. Binomial Expansions Some examples Obtaining the coefficients The binomial theorem