I am currently a third year undergraduate student in university. A year ago I decided to study pure math because I liked its rigorousness. As time moves on, frustration accumulates because I don't know what I can do with all the things I've learnt. Maybe it's partly because I haven't learnt enough, but you know what I mean. Since I am already in the third year and it's impossible for me to change my major in my undergraduate study, I am hoping to change to another major when applying for the graduate school. Not that I don't like math anymore, but I want to be able to do something with it.
The following fields are of my consideration:
- applied math
- computer science
- electronic engineering
- artificial intelligence, machine learning, image processing
These are the difficulties I believe am facing:
My GPA is okay, but not great. If converted to US standards, I have a GPA of 3.5+, ranking approximately 20%~30%. My university is world top 50 (maybe even top 20, but different ranking systems do differ a lot).
Lack of research experience. Honestly, there's just not much research to do for an undergraduate pure math students. We spend most of our time studying existing theories, and there's not much experiment to do for pure math.
Most courses I have taken are centered at pure math. I may lack sufficient knowledge of the fields mentioned above. For example, a CS major student studies data structure in his/her undergraduate years, but I don't. This certainly weakens my competitiveness if our applications appear together on the desk of the admission office.
On the other hand, based on what I've heard and my understanding of my own capabilities, I do think there are some advantages.
A professor who taught a CS course actually said to us that other departments (engineering, CS, etc.) are actually very fond of math students and that we are very welcome to join them.
Ever since I've gotten used to pure math and have built a solid foundation, I find it considerably easier to read literatures from other fields. Sometimes my friends would ask me (nontrivial) questions in their own majors (physics, chemistry, economics, etc.) and after a little research, I would be able to provide answers.
I have taken some graduate courses. And I am studying a graduate-level (maybe even research-level) topic under the guidance of a professor.
That's basically my situation. And I would like to know:
How possible is it for me to change my major when applying for graduate school? What kind of school can I hope to get into (preferably in North America or Europe)?
Is it true that other departments welcome pure math students, as is said by the professor mentioned above? Would an admission officer focus more on my advantages or disadvantages?
What other fields can you suggest?
p.s. It would be helpful if in your answer, you can tell me whether you have experience being on an admission committee.