Prerequisite mathematics for intermediate mechanics?

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Discussion Overview

The discussion revolves around the mathematical prerequisites for taking an intermediate mechanics course, particularly focusing on the relevance of linear algebra and differential equations. Participants explore the implications of taking a math course concurrently with the mechanics course and share insights on the necessary mathematical knowledge for success in the physics class.

Discussion Character

  • Exploratory
  • Conceptual clarification
  • Debate/contested
  • Homework-related

Main Points Raised

  • One participant expresses concern about being a math class behind and seeks advice on the math needed for intermediate mechanics.
  • Another participant suggests that taking the math course concurrently with intermediate mechanics could be manageable, although initial struggles may occur.
  • Some participants recommend consulting the instructor of the intermediate mechanics course for guidance on preparedness.
  • There is a mention of the importance of being a good student, as indicated by the decision to double major, which may help in overcoming challenges.
  • One participant inquires about specific "tricks of the trade" that could aid in understanding the material better before the semester starts.

Areas of Agreement / Disagreement

Participants generally agree that taking the math course alongside intermediate mechanics is feasible, but there are differing opinions on the level of struggle that may be encountered. The discussion remains unresolved regarding specific mathematical topics that would be most beneficial.

Contextual Notes

Participants have not reached a consensus on which specific topics in linear algebra and differential equations are most relevant to intermediate mechanics. There are also varying assumptions about the level of difficulty and preparedness required for success in the course.

Who May Find This Useful

Students preparing to take intermediate mechanics who may have gaps in their mathematical knowledge or are considering concurrent enrollment in a math course.

dpatnd
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I will be taking intermediate mechanics next semester, and am a bit concerned about potential gaps in my mathematical knowledge. Long story short, I used to be a physics major, switched to electrical engineering, and then decided to double major after a semester in EE. The issue is that, as a consequence of that "missed" semester, I am one math class behind the physics majors. The math class in question functions as an introduction to linear algebra and differential equations beyond what is learned in the Calculus I-III sequence and is a prerequisite for intermediate mechanics. I have only had the calculus sequence, and will take the equivalent math class next semester alongside intermediate mechanics.

Thus, I was wondering if anyone who has had this "second pass" at classical mechanics has any insight into the math needed to do the relevant physics. Would it be a bad idea for me to take the class now? What topics in differential equations and linear algebra (beyond what is covered in a standard calculus sequences) would be relevant to intermediate mechanics?
 
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I think that taking this combined math course concurrently with intermediate mechanics will be fine. You might struggle a bit at first, but then you will be fine once you pick up a few tricks of the trade especially if you are a good student and your decision to do a double major is an indication that you are.

I recommend that you talk to the instructor of the intermediate mechanics course before you sign up and ask whether (s)he thinks you will be able to handle it. Should you decide to take the course, the instructor will be alerted and take any shortcoming you might have under advisement.

BTW, what does TL;DNR in the thread summary mean?
 
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kuruman said:
I think that taking this combined math course concurrently with intermediate mechanics will be fine. You might struggle a bit at first, but then you will be fine once you pick up a few tricks of the trade especially if you are a good student and your decision to do a double major is an indication that you are.

I recommend that you talk to the instructor of the intermediate mechanics course before you sign up and ask whether (s)he thinks you will be able to handle it. Should you decide to take the course, the instructor will be alerted and take any shortcoming you might have under advisement.

BTW, what does TL;DNR in the thread summary mean?
Oh, it stands for "too long; did not read." The instructions before posting told me to include one.

As for the rest, I hope I'm good enough. I double majored because I felt I was left with no choice, but that's a different story. The Director of Undergraduate Studies for physics did tell me he thinks I'll do fine in the course based on my A's in the calculus sequence.
 
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dpatnd said:
Oh, it stands for "too long; did not read." The instructions before posting told me to include one.
Thanks. I thought it might have meant "Too late; do not resuscitate." :oldsmile:
 
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kuruman said:
You might struggle a bit at first, but then you will be fine once you pick up a few tricks of the trade especially if you are a good student and your decision to do a double major is an indication that you are.
Incidentally, what might some of these "tricks of the trade" be? If these are some specific topics or techniques, then I may try to learn a bit in the time that is left before the next semester begins.
 

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