Undergrad math to help prepare for grad school?

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Discussion Overview

The discussion revolves around the mathematical courses that an undergraduate physics student should consider taking to prepare for graduate school. Participants explore various important mathematics topics, including calculus, differential equations, linear algebra, and other advanced courses, while also addressing the cancellation of a linear algebra class.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Homework-related

Main Points Raised

  • Some participants emphasize the importance of linear algebra and advanced calculus as foundational courses for graduate studies.
  • Others suggest that complex variables and numerical analysis are also valuable courses to consider.
  • A participant mentions the necessity of understanding concepts like Jordan form in linear algebra for a deeper grasp of differential equations.
  • There is a concern about the lack of interest in linear algebra leading to its cancellation, prompting suggestions to either reinstate the class or consider transferring to another institution.
  • Some participants reflect on their own experiences, noting that having taken linear algebra and advanced calculus prior to graduate school significantly aided their understanding.
  • One participant recommends looking for a lower-level partial differential equations course, highlighting its relevance in physics.
  • Suggestions are made to explore courses like "Mathematical Physics" or "Computational Physics" that may provide necessary math skills for graduate studies.

Areas of Agreement / Disagreement

Participants generally agree on the importance of linear algebra, advanced calculus, and differential equations, but there is no consensus on alternative courses or the necessity of transferring schools. The discussion reflects a variety of opinions on what constitutes essential mathematics for graduate preparation.

Contextual Notes

Participants express uncertainty regarding the availability of courses and the implications of transferring schools. The discussion also highlights the variability in course offerings and the perceived quality of mathematics instruction in relation to physics education.

harvellt
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I am a first year physics student going into my second semester. Plan is to take 3 semesters of calc. and differential equations. I was going to take linear algebra this up coming semester but it was canceled dew to lack of interest can anyone recommend some other important maths to take?
 
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harvellt said:
I am a first year physics student going into my second semester. Plan is to take 3 semesters of calc. and differential equations. I was going to take linear algebra this up coming semester but it was canceled dew to lack of interest can anyone recommend some other important maths to take?

Are you looking for stuff that you can take in the second semester of first-year, or for courses that you can take in later years?
 
Well specifically next semester but I am interested in both.
 
lack of interest in linear algebra? I was going to say the most important courses in math are advanced calculus and linear algebra.

I would go and try to get that class reinstated, or you might consider changing schools, or enrolling for that one course elsewhere.

basically, i recommend advanced calc, linear algebra, and diff eq, as absolutely basic.

and to understand diff eq, you need more than just a first course of linear algebra.

i.e. get several courses of each of those if possible. in particular learn what jordan form is in linear algebra.

I am a pure mathematician however, so i yield to the advice of the physics specialists here.
 
I wouldn't have made it in grad school had I not had linear algebra as an undergrad. I also took advanced calculus later on, but I would have had a MUCH easier time if I took it before grad school. I also recommend some sort of complex variables class, along with numerical analysis.
 
Anything you can think of I could take next semester? I have one semester of calc under my belt, and every thing that comes with that, trig ect.
 
I only had one linear algebra course and there is only one offered at my school. We covered extensively : Basis for a vector space, row space, null space, eigenspace, diagonalization and similar matricies, orthogonal and orthonormal bases, jordan form, equivalent properties of invertible matricies, change of basis ect...basically the first 6 chapters of David Lay's book plus some outside material. Anything that is left out is covered in calc 2 such as vector calculus and vector geometry.
 
Yea, not enough kids signed up for linear algebra in the spring semester so, its canceled to be a once a year fall only class.
 
Transfer? If your school can't even get enough interest for LA then it probably has a very poor selection of higher electives.
 
  • #10
I'm not an expert, but in short:

Linear algebra/abstract algebra
Calculus I-III
Diff Eq

Are definitely good courses to look at, but from the undergrad courses I've had thus far,
it would be advised to see if there's a lower-level partial differential equations course for later. Partial differential equations is a pretty large part of physics, and I've found that physics professors are fairly adapt at being horrific mathematics instructors.

But complex variables wouldn't be bad, either. Also, you should see if your school has a "Mathematical Physics" or a "Computational Physics" course. These are generally math-based courses taught by physicists (*sigh*), but they tend to teach you the necessary math skills for graduate school (Or so they tell me).
 

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