M408M Learning Module Pages
Main page ## Chapter 10: Parametric Equations and Polar Coordinates## Learning module LM 10.1: Parametrized Curves:## Learning module LM 10.2: Calculus with Parametrized Curves:## Learning module LM 10.3: Polar Coordinates:## Learning module LM 10.4: Areas and Lengths of Polar Curves:## Learning module LM 10.5: Conic Sections:Slicing a coneEllipses Hyperbolas Parabolas and directrices Completing the square ## Learning module LM 10.6: Conic Sections in Polar Coordinates:## Chapter 12: Vectors and the Geometry of Space## Chapter 13: Vector Functions## Chapter 14: Partial Derivatives## Chapter 15: Multiple Integrals |
## Slicing a coneCircles, ellipses, parabolas and hyperbolas are called
Conic sections come up throughout science, and especially in physics and astronomy. If you throw a ball across the room, its trajectory will be a parabola. The earth and other planets move in ellipses around the sun. A comet that has barely enough energy to escape from the sun's gravity will move in a parabolic orbit, and if it has more energy than that, its orbit will be a hyperbola. [Note: Conic sections can be obtained by slicing |