Ask HN: Resources for Studying Multivariable Calculus?
A friend across the United States from here has a daughter who likes mathematics very well and who at high school age has qualified for the United States Junior Mathematical Olympiad. The daughter's mom, like me, majored in foreign languages in college, so I'm sending along her question to this community to ask how a high-school-age student might study (self study?) multivariable calculus. What are some possible online resources for studying multivariable calculus? What are some good books on the subject that might allow self-study of multivariable calculus? How could the daughter verify her knowledge and skill for future college placement or other purposes?
3 comments
[ 2.7 ms ] story [ 12.8 ms ] threadhttp://ocw.mit.edu/courses/mathematics/18-02sc-multivariable...
(http://tutorial.math.lamar.edu/Classes/CalcIII/EqnsOfPlanes....).
I recommend this site because of its concise outlines. MIT OCW is very video based and time consuming (not bad, just a fact). If you want pure, streamlined info (preview, review), then that's what I'm suggesting it for.
2. In terms of a book (esp. a textbook), my experience is that the profusion of text is wearying. I did best when I study intensely for short bouts of time spread over a semester. I believe an outline is more conducive to this approach.
3. As a source for problems to verify her knowledge and to practice the thinking method, I would recommend
(http://people.math.gatech.edu/~cain/notes/calculus.html)
I'll continue to look. To be honest, however, I have a feeling that the textbook has largely been replaced in favor of more readily accessible information online. Having one seems essential since it's the norm, but I think the online sites dedicated to teaching calculus3 are better suited.
(http://math.etsu.edu/multicalc/prealpha/)
NB: I'll be using the first link to study Calc3 after I finish doing the AP Calc problems in my book first to review. :)