Have I Covered the Basic Maths Needed for MIT Physics?

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Discussion Overview

The discussion revolves around the mathematical prerequisites necessary for studying introductory physics at MIT, specifically course 8.01. Participants explore the levels of math covered in the Kumon system and how they relate to the expectations of MIT's physics curriculum.

Discussion Character

  • Homework-related
  • Debate/contested
  • Conceptual clarification

Main Points Raised

  • One participant seeks clarification on the math levels in the Kumon system and their correspondence to the prerequisites for MIT's 8.01 course.
  • Another participant asserts that level G in Kumon is insufficient for 8.01, suggesting that a more comprehensive understanding of mathematics is required.
  • It is noted that 8.01 requires roughly completion of level N to start and level O before finishing, with an emphasis on the need for facility with the mathematics rather than just the ability to solve problems.
  • A participant expresses a desire to master the necessary mathematics to apply it effectively in physics, seeking tips for preparation.
  • Concerns are raised about the level of preparedness of students in MIT's introductory physics compared to other universities, highlighting the high standards expected.

Areas of Agreement / Disagreement

Participants generally agree that a strong mathematical foundation is necessary for success in MIT's physics courses, but there is no consensus on the specific levels required or how they map to the Kumon system.

Contextual Notes

The discussion reflects uncertainty regarding the direct mapping of Kumon levels to the US educational system and the specific mathematical skills needed for physics at MIT.

kerol9904
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Hi all. This is my first post, so I hope this is the correct place to post.

I have been studying maths at Kumon for the past years. I just want to see if I have covered the basic maths needed for studying physics (start with MIT 8.01 maybe?). When I browse through this forum, I have no idea if I have studied the subject. So, I would like someone to help me knowing the topics (i.e. Precalc, Calc.1, Calc.2 etc.) of each of the levels. (Not all. Just from level G maybe?)
Here's the link to the general description of the levels covered in Kumon Maths.
http://www.kumon.com/miscellaneous/kumon_math_levels.pdf

Thanks in advance!
 
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I am not 100% sure what you are asking, but if you are asking whether G is enough to study 8.01, the answer is no. 8.01 expects pretty much that whole sheet. More importantly, it expects the student to be facile with mathematics at that level: the student needs to be good enough with the material that a mathematical explanation will be enlightening and not more confuising.
 
No. That's not what I mean. I meant that can I get a rough idea of what the levels are covering?
For example, level XX is covering Precalculus or level YY is covering Calculus. I would like to know the level's standard in terms of US(?) system.
Another thing I want to ask is that what is the minimum level to start 8.01? Certainly it's not all of the levels, right?

I certainly wasn't expecting G to be enough for 8.01.
 
It doesn't map cleanly onto the US system.

8.01 would require roughly Level N to start and roughly completion of Level O before finishing. 8.01 has 18.01 as a co-requisite, and 18.01 is a fairly fast-paced calculus class. But as I said, the real issue is that it assumes facility with the mathematics. Being able to eventually grind out a problem at Level O is not enough.
 
Vanadium 50 said:
But as I said, the real issue is that it assumes facility with the mathematics. Being able to eventually grind out a problem at Level O is not enough.

So, you mean that I have to fully master the maths so that I can apply it to the physics? If that's what you mean, then any tips that you can provide? I would really like to start with physics early since it's my passion.
 
Keep in mind that this is an MIT course. Students in intro physics at MIT are not like students in intro physics at most other universities. Most or all of them are probably very bright, very well prepared, and very strongly motivated.
 

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