Drawing Surfaces & Space Curves

[vanceEE]

Homework Statement

Drawing surface $f(x,y) = ...$ or $r(t) = <f(t),g(t)>$ etc.

The Attempt at a Solution

I've been working on drawing space curves lately, by breaking into separate planes and by level curves. I'm struggling w/ this topic. (1) If I'm not mistaken, this is fundamental in order to grasp the other topics within Multivariate and Vector Calculus, correct? (2) Are there any resources recommended for this topic, ANY help will be highly appreciated. Thank you.

 

[LCKurtz]

Homework Statement

Drawing surface $f(x,y) = ...$ or $r(t) = <f(t),g(t)>$ etc.

The Attempt at a Solution

I've been working on drawing space curves lately, by breaking into separate planes and by level curves. I'm struggling w/ this topic. (1) If I'm not mistaken, this is fundamental in order to grasp the other topics within Multivariate and Vector Calculus, correct? (2) Are there any resources recommended for this topic, ANY help will be highly appreciated. Thank you.

I have some old lecture notes of mine that review 2d conics and their graphs and give examples of how to use that to draw 3d conic surfaces. These were for my own use during my lectures so they aren't that polished for publication. They are handwritten and my handwriting isn't that great, but you might find them useful if you work through the examples. They are pdf files and you can find them at:

math.asu.edu/~kurtz/LectureNotes/Lecture7.pdf
math.asu.edu/~kurtz/LectureNotes/Lecture8.pdf