Good Site For Opencourseware At Your Own Pace?

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SUMMARY

The discussion centers on finding comprehensive opencourseware for Calculus 1-3 and Physics 1-2. The user identifies two MIT courses that effectively cover these subjects: "Single Variable Calculus" (18.01) and "Multivariable Calculus" (18.02). The user confirms that these courses align with traditional college course structures, providing a complete learning path without the need for enrollment or scheduled access. The emphasis on proofs and conceptual understanding in the multivariable course is highlighted as beneficial for deeper comprehension of the material.

PREREQUISITES
  • Understanding of basic calculus concepts such as differentiation and integration.
  • Familiarity with MIT's OpenCourseWare platform.
  • Knowledge of course numbering and structure in higher education mathematics.
  • Basic skills in online learning and self-paced study techniques.
NEXT STEPS
  • Explore MIT's "Single Variable Calculus" (18.01) course for foundational calculus concepts.
  • Review MIT's "Multivariable Calculus" (18.02) course for advanced calculus topics.
  • Investigate the "Calculus with Theory" (18.014) course for a deeper theoretical understanding of calculus.
  • Research additional resources for Physics 1-2 to complement the calculus coursework.
USEFUL FOR

Students preparing for advanced studies in mathematics and physics, educators seeking quality opencourseware, and anyone looking to strengthen their calculus foundation at their own pace.

Ascendant0
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I'm trying to brush up on my Calc 1-3, and Physics 1-2. I got up to integration in Thomas' Calculus book no problem. The integration part of it is a bit convoluted to me though. So, I'm trying to find opencourseware that I can look at and go at my own pace through it. I have a few sites, but they either don't seem to have the complete course (like some just cover differentiation, or limits, etc.), or you have to "enroll" and have access to it at certain given times. I want something I can crank through now without having to wait for access to it. If anyone knows of a good resource that has complete courses in the way a typical college would, and where I can access all of it here and now as I'd like, it would be GREATLY appreciated.
 
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Ok, so I think I may have found Calc 1 through 3. I believe in some colleges, it's just two courses, single and multivariable calculus, right?

Here are two MIT courses that I think cover it:

Single Variable Calculus: https://ocw.mit.edu/courses/18-01-single-variable-calculus-fall-2006/pages/syllabus/

Multi Variable Calculus: https://ocw.mit.edu/courses/18-024-multivariable-calculus-with-theory-spring-2011/pages/syllabus/

Between those two, is that what you'd be covering in Calc 1-3, or is it missing anything? I know the multivariable I chose also includes the "emphasis on proofs and conceptual understanding," but that really appeals to me. I would imagine it would help you gain a much firmer grasp on the math, right?
 
Muu9 said:
I would suggest you take the ordinary multivariable course (https://ocw.mit.edu/courses/18-02sc-multivariable-calculus-fall-2010/) after the single variable course you linked or at least complete the ordinary single variable calculus course you listed then this single variable calculus with theory course (https://ocw.mit.edu/courses/18-014-calculus-with-theory-fall-2010/) before the theoretical calc 3 course you linked
Thanks. After looking into things, I did realize this Single Variable and Multi Variable Calculus courses are essentially Calc 1-3. For some reason, I thought they were labeled Calc 1-3. After looking at my old transcripts, I see it was labeled "Calc 1", "Calc 2", and then I took both "Differential Equations" and one other math course as well. I think the other one may have been called "Linear Algebra" but I'm not 100% sure. They didn't have it at my college during the semester I needed, so I took it at a different college online, and I don't have that transcript on hand.

Trying to make sure I have all the math (and physics of course) needed to pick things up for the 3rd year of physics.
 
MIT's single variable course without theory (18.01) is the equivalent of calc 1 and 2 and the MiT's multivariable calculus without theory course (18.02) is the equivalent of calc 3.
 
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