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Calculus Revisited - a complete self-study calculus course from MIT OCW
- steve918 16y agoI also recommend Prof. Strang's book http://ocw.mit.edu/resources/res-18-001-calculus-online-textbook-spring-2005/textbook/ http://ocw.mit.edu/resources/res-18-001-calculus-online-text... and series of lectures http://ocw.mit.edu/high-school/courses/highlights-of-calculus/index.htm http://ocw.mit.edu/high-school/courses/highlights-of-calculu... He explains Calculus in a way that make it really easy to understand.
- kenjackson 16y agoHis linear algebra intro lectures are the best I've seen anywhere too... plus his book is probably the best intro on the topic to date.
- steve918 16y agoIt really is. Prof. Strang is an amazing teacher of math plus he's just a really fun, likable guy.
- edw519 16y agoFunny, I have always found a very high correlation between "amazing teacher of math" and "just a really fun, likable guy". (My experience also includes "musician" and "bridge player".)
- mayank 16y agoI couldn't agree more! His linear algebra lectures are amazing if you need to brush up on your eigenvalues and matrix decompositions. Direct link to the videos: http://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-spring-2010/video-lectures/ http://ocw.mit.edu/courses/mathematics/18-06-linear-algebra-...
- steve918 16y agoThere is also this series of videos http://ocw.mit.edu/courses/mathematics/18-01sc-single-variable-calculus-fall-2010/ http://ocw.mit.edu/courses/mathematics/18-01sc-single-variab...
- tricky 16y agoI dug out my old calc textbook last weekend because I need derivatives for my latest hack. Every time I get stuck Khan Academy saves the day. just sayin'.
- iwwr 16y agoAny chance you'd want to share some details about that?
- tricky 16y agosure - I want to teach myself market analysis, so I'm scraping craigslist for data and fiddling with it. I did some curve fitting so I thought it might be cool to calculate velocity to, you know, figure out what time the velocity of people selling macbooks maxes out by city... derp.
- treeface 16y agoGreat resource, thanks. Another great resource is, of course, the Khan Academy. See their precalc videos here: http://www.khanacademy.org/#Precalculus http://www.khanacademy.org/#Precalculus And their calc videos here: http://www.khanacademy.org/#Calculus http://www.khanacademy.org/#Calculus
- pixcavator 16y agoI just wrote a short blog post on different kinds of places to find math online: http://inperc.com/blog2/2011/02/24/math-online/ http://inperc.com/blog2/2011/02/24/math-online/.
- lell 16y agoI noticed you included planetmath in your list of encyclopedias. They used to be an excellent source for definitions and theorems in pure math. But for the past 3 years, their search has been broken and their rendering has been slow (each page view lands on a yucky page of unrendered typesetting syntax, which is replaced by a blank page for more than a few seconds before some 'jsmath' plugin does something?). They hemorrhaged most of their users during that period. I found some notes from their board meetings, and they've know about these issues, they discuss them continually, but they've done nothing for 3 years. It's really sad, because it could have been an alternative to wikipedia for pure mathematicians. Another hidden gem for academic mathematics is york university's ask a topologist: http://at.yorku.ca/cgi-bin/bbqa http://at.yorku.ca/cgi-bin/bbqa . Regulars on this forum routinely answer and discuss graduate and research level questions (in algebra and geometry too, not just topology).
- binarymax 16y agoThanks for this - just watched the first video. Clearly spoken and well explained. Will be going through the rest of the course.
- barista 16y agoHope this is how the future of education looks like. Curses like these are too valuable to be locked in the ivory towers of ivy league schools. Kudos to MIT for releasing it and hope many other premier schools follow this lead.
- Ygor 16y agoDo you think releasing stuff like this might be bad for the university since the students have the possibility to learn without actually enrolling, thus depriving the university of some potentially good students? Or is the effect opposite - good word, good press, good marketing. Or, maybe I am completely of track and one has nothing to do with the other?
- patricklynch 16y agoWell, most (all?) public universities let you check out books from their libraries without being enrolled. And many professors will let you sit in on lectures if you're polite and not a disturbance. So in that sense it's been possible to 'mooch free learning' off of universities for some time. But this takes away the barrier of having to actually visit a campus. I think of it as 'freemium' marketing, but for academia.
- eru 16y ago> So in that sense it's been possible to 'mooch free learning' off of universities for some time. They are more stingy with grading your exercise questions, because that takes time. But if you are genuinely interested, you can probably find someone to grade your stuff; or if you are advanced enough, just try to write a paper. Professors will probably help you, even if you are not in a university. (Just offer co-authorship, if necessary.)
- jordan0day 16y agoRight now in the USA I have to imagine there is actually a glut of students. While many of them really do want to learn, I would argue a great majority are enrolled in college because "that's what they're supposed to do." I don't think an institution like MIT is at any risk of running out of potential students any time soon.
- patricklynch 16y agoAnother recommendation - Keisler's Elementary Calculus: An Infinitesimal Approach http://www.math.wisc.edu/~keisler/calc.html http://www.math.wisc.edu/~keisler/calc.html (pulled from this old slashdot thread) http://books.slashdot.org/story/04/03/04/028253/Five-Free-Calculus-Textbooks http://books.slashdot.org/story/04/03/04/028253/Five-Free-Ca...
- davidsiems 16y agoIf you've never read it before this book is a very intuitive introduction (and refresher): http://www.amazon.com/Calculus-Made-Easy-Silvanus-Thompson/dp/0312185480 http://www.amazon.com/Calculus-Made-Easy-Silvanus-Thompson/d...
- ashconnor 16y agoThis book is currently out of copyright (published 1910): http://djm.cc/library/Calculus_Made_Easy_Thompson.pdf http://djm.cc/library/Calculus_Made_Easy_Thompson.pdf
- Semiapies 16y agoAlso available at the Gutenberg project, here: http://www.gutenberg.org/ebooks/33283 http://www.gutenberg.org/ebooks/33283 It seems to be a rather nifty book.
- aguki 16y agoAside from iTunes U, is there any other method to download an offline copy of the modules (inclusive of a/v content)?
- seancron 16y agoThere's no bundled zip file that you can download like in other courses, however you can find the videos at http://ia700300.us.archive.org/15/items/MITRES18_006F10/ http://ia700300.us.archive.org/15/items/MITRES18_006F10/ Quick wget script to download everything from that directoy: wget -erobots=off -Pvideos --random-wait 1 -nH -nd -N -r -l 1 "http://ia700300.us.archive.org/15/items/MITRES18_006F10/" And then just download the study materials from http://ocw.mit.edu/resources/res-18-006-calculus-revisited-fall-2010/study-materials/ http://ocw.mit.edu/resources/res-18-006-calculus-revisited-f...
- balloot 16y agoAnyone know of a resource like this where you can take problem sets and/or tests? For the way I learn, it just doesn't stick unless I can do problems and correct my mistakes.
- eru 16y agoJust get a book, like Concrete Mathematics, and do their problems. Post your solutions in a blog, if you want people to criticise them. You can ask on HN, if nobody reads your blog otherwise.
- JabavuAdams 16y agoInteresting. I'd like to do this, but I assumed that textbook authors / publishers would get annoyed. The obsessive part of me wants to go back through my textbook collection and do all the exercises.
- eru 16y agoSome like `Concrete Mathematics' come with solutions to nearly all the exercises anyway.
- rsheridan6 16y agoMost books have problems and most have solutions guides for about half of the problems. I'm surprised nobody's mentioned Spivack yet: http://www.amazon.com/Calculus-4th-Michael-Spivak/dp/0914098918/ref=ntt_at_ep_dpt_1 http://www.amazon.com/Calculus-4th-Michael-Spivak/dp/0914098...
- 2arrs2ells 16y agoThere are exercises (with solutions) that accompany the video series: http://ocw.mit.edu/resources/res-18-006-calculus-revisited-fall-2010/study-materials/ http://ocw.mit.edu/resources/res-18-006-calculus-revisited-f... Enjoy the scanned typewritten materials.
- stcredzero 16y agoWhat are the Calculus applications for startup people?
- eru 16y agoAnything related to engineering.
- JabavuAdams 16y agoGames, robotics? Linear algebra is perhaps more important, but mostly as a way to get the computers to do the calculus.
- tnm 16y agoIt makes it easier to calculate tips at restaurants in Palo Alto.
- SoftwareMaven 16y agoI kid you not, just this morning I was thinking "I want to brush up on my calculus", then I go for my morning dose of HN and see this. I like reading prescient web sites.
- Radix 16y agoIf you go looking it isn't too difficult to find material like this. Many of the posters hear have jumped in with their favorite resources. But, where do you all go when you want to ask potentially dumb questions as you would an instructor in class or of classmates? Khan Academy has a nice Q/A section for each video, but the best I've seen is PhysicsForums. Anything better?
- SteveC 16y agohttp://math.stackexchange.com http://math.stackexchange.com
- ssx 16y agoAwesome! A great refresher. {nostalgic of the simpleness of life back in highschool...study and learn}