How is my Preparation for Grad School in Math?

In summary, an undergraduate looking to get into a graduate program should have taken courses in general physics, applied maths, and stats.
  • #1
qspeechc
844
15
Hello everyone.

I am currently in my third year (junior year I think it's called in the USA) of undergrad, as a maths major, hoping to get into a masters program. I go to a small university.

I looked at some universities graduate school's websites, and I've seen quite a few that say they do not accept students with a masters into their Phd programs. This seems a bit odd to me, it's certainly not the case at my university; is this standard? I mean, I seriously doubt I'll know by the end of next year which area I want to specialise in, so I'll want to do a masters first. Is there anything wrong with this route?

Also, I suspect my background is quite weak for a typical undergrad. What kind of courses should an undergrad looking to get into grad school have? I've taken the calculus sequence. As for real maths, I have taken: linear algebra; a little abstract algebra (mostly group theory); real analysis in one variable, at the level of Rudin. At the end of this academic year you could add complex analysis in one variable, from Conway.

My background looks suspiciously weak to me, especially when I look at the undergrad curriculum for Princeton (a family friend went to Princeton). Next year, my final year (senior year?) I will be taking only maths courses (which is typical at my uni). That said, I can probably add multi-variable analysis and abstract algebra to the list of courses I know, by going through the books myself, before my senior year. Does this sound sufficient? I know very little about what my senior year courses are going to be like.

As for non-math courses, I have taken:
Two years of physics (general physics; EM and QM)
Applied maths (numerical analysis; ODEs, PDEs, mathematical methods, GR)
First year stats

As you can probably tell, my uni has a good applied maths program; I'm not so sure about the pure maths program. The physics program is also good from what I hear.
So, is my background sufficient, or weak? Is taking masters instead of going straight into a Phd program a good ora bad idea?
Thanks for your help.
 
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  • #2
General topology and ring & field theory would be good courses to take.
 
  • #3
General topology like Munkres, is that fine? I think I will take a topology course next year. Like I said, I can probably polish off the holes in my abstract algebra knowledge on my own. Otherwise, does my background look fine?
 
  • #4
Anyone?
 

1. How important is my undergraduate GPA for graduate school in math?

The undergraduate GPA is an important factor for admission to graduate school in math. Most programs require a minimum GPA of 3.0, but a higher GPA can make you a more competitive candidate. Additionally, a strong GPA in math courses specifically can demonstrate your aptitude for the subject.

2. Do I need to have research experience in math before applying to graduate school?

While having research experience in math can strengthen your application, it is not always a requirement for admission. However, if you have the opportunity to participate in research, it can give you valuable skills and make you a more competitive candidate.

3. Should I take the GRE Math Subject Test for graduate school in math?

Many graduate programs in math require or recommend taking the GRE Math Subject Test. It can be a way to demonstrate your knowledge and skills in math and can make you a more competitive candidate. However, not all programs require it, so it is important to research the specific requirements of the programs you are interested in.

4. What can I do to improve my preparation for graduate school in math?

To improve your preparation for graduate school in math, you can focus on taking advanced math courses, participating in research or internships, and developing strong problem-solving and critical thinking skills. You can also consider studying for and taking the GRE Math Subject Test and seeking out mentors or advisors in the field.

5. What are some important factors to consider when choosing a graduate program in math?

Some important factors to consider when choosing a graduate program in math include the program's reputation, faculty research interests, course offerings, location, and financial support. It is also important to consider the program's compatibility with your career goals and interests.

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