<p>Would anyone know of any good online resources for multivariable calculus? I'm having trouble drawing functions of several variables. Any tips?</p>
<p>Thanks.</p>
<p>I like Pauls notes, but I’m not sure about how much he teaches you to draw three-dimensional functions. When drawing three-dimensional functions, it is sometimes nice to draw two dimensions first, then decide how that function should move in the third direction.
For example, a cylinder is just a circle in the xy-plane moving out along the z-axis.
A more complicated example would be a cone, that is a circle in the xy-plane but changes in size as it is projected along the z-axis.</p>
<p>I also use Paul’s notes as they’re concise and easy to read. You can also Google Khan’s Academy and PatrickJMT, those are some of the best video tutorials.</p>
<p>Pauls Online is very good, also MIT OpenCourseWare has a excellent Multivariable course</p>
<p>PatrickJMT saved me during Calc II. I haven’t had too many difficulties this far in Calc III, but will probably go for the aforementioned Khan Academy, Paul’s, and JMT for when I do. Sometimes just doing random searches and pulling up pages from multivariate courses from random universities will yield sufficient results.</p>