An ellipse is the set of points in the plane such that the sum of the distances from two fixed points is constant. The two points are the foci of the ellipse. An ellipse has two axes of symmetry that are called major axis and minor axis. When they intersect at the center of the ellipse, the foci are on the major axis. If you know the minor and major axis, you can write the equation of the ellipse in the standard form and use symmetry to help you graph an ellipse. In this lecture you'll practice how to put the equation of an ellipse in standard form.
Understand the meaning and significance of the major and minor axes.
Understand the fundamental equation a2 = b2 + c2 and use it frequently.
Use symmetry to help you graph an ellipse.
Understand the standard formula for the equation of an ellipse.
Know how to put an equation in standard form by completing the square.
Lecture Slides are screen-captured images of important points in the lecture. Students can download and print out these lecture slide images to do practice problems as well as take notes while watching the lecture.