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

## Presentation on theme: "NONLINEAR SYSTEMS, CONIC SECTIONS, SEQUENCES, AND SERIES College Algebra."— Presentation transcript:

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

Nonlinear Systems of Equations Solving by elimination Applications

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

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

Ellipses and Hyperbolas The ellipse The hyperbola

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

Sequences Finding a formula for the nth term

Series Summation notation Series Changing the index

Arithmetic Sequences and Series Arithmetic sequences Arithmetic series

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

Binomial Expansions Some examples Obtaining the coefficients The binomial theorem