Good Site For Opencourseware At Your Own Pace?

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Discussion Overview

The discussion revolves around finding open courseware resources for Calculus (Calc 1-3) and Physics (Physics 1-2) that can be accessed at one's own pace. Participants share specific courses from MIT's OpenCourseWare and discuss their content and structure in relation to traditional college courses.

Discussion Character

  • Exploratory
  • Technical explanation
  • Homework-related

Main Points Raised

  • One participant seeks open courseware that allows self-paced learning for Calculus and Physics, expressing frustration with incomplete courses and enrollment requirements.
  • Another participant identifies two MIT courses, Single Variable Calculus and Multivariable Calculus, suggesting they cover the material typically found in Calc 1-3, and questions if anything is missing.
  • A suggestion is made to take the ordinary multivariable calculus course after completing the single variable course, emphasizing the importance of foundational understanding before moving to more theoretical courses.
  • One participant reflects on their own course history, clarifying that the MIT courses align with their understanding of Calc 1-3, while also mentioning other math courses they have taken.
  • Another participant confirms that MIT's single variable course without theory corresponds to Calc 1 and 2, while the multivariable course corresponds to Calc 3.

Areas of Agreement / Disagreement

Participants generally agree on the equivalence of the MIT courses to traditional Calc 1-3, but there is no consensus on the completeness of the courses or the best order to take them. Some uncertainty remains regarding the specific content covered in the suggested courses.

Contextual Notes

Participants express varying levels of certainty about course equivalencies and the completeness of the material, with some referencing personal experiences and others focusing on the structure of the courses.

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?
 
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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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