Lecture 5: Parametric equations for lines and curves.
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Lesson Description:
Learn how to write parametric equations for lines and curves.
Denis Auroux. 18.02 Multivariable Calculus, Fall 2007. (Massachusetts Institute of Technology: MIT OpenCourseWare). http://ocw.mit.edu (Accessed March 15, 2009). License: Creative Commons Attribution-Noncommercial-Share Alike.
Additional Resources:
- Transcript of Lesson - Written transcript from this lesson.
- Lecture Notes - Lecture Notes from this lesson.
- Problem Set - A problem set with some problems from this lecture.
Questions answered by this video:
- How do you write a parametric equation for a line?
- How do you write a parametric equation for a curve?
- What is an application of using parametric equations to describe a line?
- How can you find where a line intersects a plane?
- What is a cycloid and how is it obtained?
- What shape does a point on the rim of a moving wheel make?
- What is the position of a point on a wheel as a function of the angle that the wheel has rotated?
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Staff Review
This lesson does a great job of explaining parametric equations for lines and curves. This is such an important concept in Calculus, and you can learn how it is done in this lesson. Also, some applications for parametric equations are discussed, including the cycloid in depth.
