Undergrad math to help prepare for grad school?

In summary, the conversation discussed the recommended math courses for a first year physics student. The plan is to take 3 semesters of calculus and differential equations, but the student's planned linear algebra course was canceled due to lack of interest. The experts recommended taking advanced calculus, linear algebra, and differential equations, along with courses in complex variables and numerical analysis. They also suggested looking into a lower-level partial differential equations course and courses in mathematical or computational physics.
  • #1
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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  • #2
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?
 
  • #3
Well specifically next semester but I am interested in both.
 
  • #4
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.
 
  • #5
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.
 
  • #6
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.
 
  • #7
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.
 
  • #8
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.
 
  • #9
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).
 

1. What are the most important math courses to take as an undergrad for grad school?

The most important math courses to take as an undergrad for grad school are calculus, linear algebra, real analysis, abstract algebra, and differential equations. These courses provide a strong foundation in the fundamental concepts and techniques used in advanced math courses.

2. Is it necessary to take advanced courses such as topology or complex analysis as an undergrad for grad school?

It is not necessary to take advanced courses such as topology or complex analysis as an undergrad for grad school. However, having a strong background in these areas can be beneficial for certain graduate programs and research opportunities.

3. How important is research experience in undergrad for admission to a math graduate program?

Research experience is highly valued by graduate programs in math. It demonstrates your ability to think critically and work independently, which are important skills for success in graduate school. However, it is not the only factor considered in admissions, and having a strong academic record is also crucial.

4. Is it necessary to have a specific math specialization in undergrad for a specific graduate program?

It is not necessary to have a specific math specialization in undergrad for a specific graduate program. Many graduate programs in math allow students to choose their focus area once they are admitted. However, having a strong foundation in the core areas of math is important for success in any graduate program.

5. How can I gain experience in presenting and communicating mathematical ideas as an undergrad?

There are many opportunities for undergrads to gain experience in presenting and communicating mathematical ideas. You can participate in math clubs or seminars, present at conferences or research symposiums, or work on research projects with faculty or other students. These experiences will not only improve your communication skills but also make your grad school application stand out.

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