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Which MIT Opencourseware Calculus?


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I have bookmarked Jerison's fall 2010 video lectures but would like to make sure just in case I am missing something.

 

http://ocw.mit.edu/courses/mathematics/18-01sc-single-variable-calculus-fall-2010/ (by Jerison but this URL says fall 2010)

http://ocw.mit.edu/courses/mathematics/18-01-single-variable-calculus-fall-2006/index.htm (by Jerison but this URL says fall 2006)

http://ocw.mit.edu/resources/res-18-006-calculus-revisited-single-variable-calculus-fall-2010/ (by Gross, fall 2010)

There also some materials by Strang here: http://ocw.mit.edu/high-school/mathematics/

 

Also, have you had luck pairing the course with Stewart's textbook instead of using the textbook in the OCW syllabus? Just trying to save a few $$ since I already have Stewart's book at home.

 

Thanks in advance!

 

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I would recommend the Fall 2010 Jerison lectures for calculus since it's listed as an "OCW Scholar" course & is thus likely to be more complete, including full solutions to problems and exams.

 

Strang is a gifted teacher & I'd probably start out with his short Highlights of Calculus videos before moving on to Jerison. Those give a great overview for kids who like to see the big picture first before digging into the details.

 

The Jerison OCW class doesn't require a textbook, but you could certainly use Stewart or any standard calculus book on the side for alternative explantions and/or as an extra source of problems. Strang also has an online calculus text on that same link that you referenced. I would expect it to be an excellent book (his linear algebra book is wonderful).

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Would a MIT semester class count as a year-long high school class? 

You have just given me another option for Calculus, as the AoPS online class is in conflict with the single activity my son has during the week.. Sigh.

 

Oh yes, and then some! Their semester calculus course covers all the differential and integral calculus normally covered in Calc 1 and Calc 2 classes (the same as AP Calc BC).

 

The other alternative would be to take the AoPS class w/o attending the live sessions, and have him work through the transcripts of those sessions instead. Dd did that once or twice when classes interfered with her dance studio schedule. She was still able to get her questions answered via the class message board.

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I mentioned that option to my son but he's not too keen on it. What's the point of an online class if you can't have the interaction? 

There's Kolbe's online class too. Calculus: Concepts and Applications, Paul A. Foerster, It prepares for AP Calculus AB or BC (Honors) 

http://kolbe.org/online-courses/course-offerings/2014-15-school-year/high-school/online-math-courses/wcm-calc/

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Well, there weren't any AoPS texts yet for the classes my kids took from them, so it was either online AoPS classes or studying something entirely different at home. AoPS worked so well for dd that we stuck with it even when the times weren't convenient. You still get to "listen in" to everything that happened in class via the transcript, they still have message board interactions, and their work is still evaluated. Foerster wouldn't have worked nearly as well for my right-brained dd (even though it's a good text).

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I would recommend the Fall 2010 Jerison lectures for calculus since it's listed as an "OCW Scholar" course & is thus likely to be more complete, including full solutions to problems and exams.

 

Strang is a gifted teacher & I'd probably start out with his short Highlights of Calculus videos before moving on to Jerison. Those give a great overview for kids who like to see the big picture first before digging into the details.

 

I agree! Strang is *very* good. His calculus textbook is free online at http://ocw.mit.edu/resources/res-18-001-calculus-online-textbook-spring-2005/

 

I haven't used his calculus materials but his linear algebra course is really quite good. I feel confident recommending any of his stuff based on that.

 

PS. Somewhat off topic... Does anyone know of an OCWish honors calc. using Spivak or Apostol or Courant with full resources(lecture notes/videos/etc).

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I agree! Strang is *very* good. His calculus textbook is free online at http://ocw.mit.edu/resources/res-18-001-calculus-online-textbook-spring-2005/

 

I haven't used his calculus materials but his linear algebra course is really quite good. I feel confident recommending any of his stuff based on that.

 

PS. Somewhat off topic... Does anyone know of an OCWish honors calc. using Spivak or Apostol or Courant with full resources(lecture notes/videos/etc).

 

Yeah, I'm a fan of Strang's linear algebra, too.

 

MIT honors calculus & multivariable math courses 18.014 & 18.024 use the Apostol texts. The OCW versions aren't as complete as some others...no video lectures, darn it. They do include course notes, assignments, tests, and solution pdfs, though.

 

Maybe they'll put more of their math classes up on MITx eventually (hoping here!). I'm currently taking their first math offering (6.041x calc based prob & stats) and the video lectures are extremely well done.

 

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  • 1 year later...

Yeah, I'm a fan of Strang's linear algebra, too.

 

MIT honors calculus & multivariable math courses 18.014 & 18.024 use the Apostol texts. The OCW versions aren't as complete as some others...no video lectures, darn it. They do include course notes, assignments, tests, and solution pdfs, though.

 

Maybe they'll put more of their math classes up on MITx eventually (hoping here!). I'm currently taking their first math offering (6.041x calc based prob & stats) and the video lectures are extremely well done.

 

 

Resurrecting an old thread. Has anyone used 18.024 for yourself or your DC and have any btdt experience to share? Wondering about how much time was spent and ease of use. Thanks in advance!

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Thank you! That's really good to know. We are trying to decide between the one with Apostol's text and the one you linked. I'd love an idea of how much time she spends on it daily and how much time you think it will take her to finish the course.

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Um, I almost didn't want to answer this because we've really been slacking in math. She has other activities that have been consuming her time and taken her out-of-town. Though she started multivariable in March, she's not even 1/4 of the way through. She got really busy with other things, then summer came...So I'm afraid we're the wrong people to ask how long the course will take.

 

Fwiw, when she was working on it regularly, the time spent varied a bit. For the most part, she was spending about an 1.5-2hrs a day, watching one lecture, one recitation, and then doing the problems. This pace might have been a result of my complaining when she used to spend 6 hours on aops.

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Thank you for replying! This sounds like what my son will do too when there are so many other things vying for attention. He works really well with some structured deadlines so one worry I have with OCW is that he won't feel the pressure of deadlines...but at the same time, he also became rather bored with deadline-oriented comm. college math and is seeking more challenge so perhaps we will just have to give it a try and see. The 1.5-2hrs sounds like what he will do too. Mine also spends 6+ hours on AoPS. :laugh: Thanks so much! You've helped more than you might realize! :thumbup:

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Here are lectures free online by Ted Shifrin, on honors multivariable calculus, very much in the spirit of an advanced Spivak course.  Ted is a superb lecturer and a friend of Mike Spivak, and he consulted on some of the revisions of Spivak's book on one variable calculus.  I don't know any source for lectures on the prerequisite one variable honors course.

 

https://www.youtube.com/playlist?list=PL5I-Eyk8l9FHdJUd9UujGcvumjCFPHbrd

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