Computational mathematics for a messed up student

[jwxie]

I am a Computer Engineering major. I begin to like analyzing things (I always do). I love testing things, and I really have the patience to do analyzing things, google for answers, reading and researching for answers.

But I am not a very strong math student (pretty careless and my fundamental is pretty weak). I can improve these things. I am very dedicated to study harder.

I have a messed up transcript, with a few C and C+. They are my major courses. Honestly I was a A+ student. Procrastination was only an excuse. I am now a rising junior, and I want to do better.

This summer I am dedicated to re-learn data structure, improve my C++, Python, and Java, as well as review EE and physics stuff.
I have a whole summer to spend so I am sure I can managed to get at least half of that done.

Now back to my questions:

1. Do you think I can still go to a good graduate school?

2. I've been looking into Computational mathematics and analysis for quite some time, but I still don't get what the field is.
I read this already: http://www.siam.org/careers/thinking/profiles.php and did a lot of google search.

What exactly do people do? Is there a difference between computational mathematics, computational analysis? From what I see there aren't that many jobs titled "computational". Even if they are, they are mostly for bioinformatics.

3. Do I really need a PhD?

As a junior this Fall, I am aiming for straight A by doing the right things (not only just getting A, but learning the material the right way). I know I don't have to apply to graduate school right away. But what are my options? I don't know what I want to do. I just find analyzing things interesting. I don't see myself writing codes for Facebook or Google Maps.

I want to know what are some good programs that may fit my interest?

What kind of research can I do? Most of the research at my school are for robots or visual (I attend City College CUNY).

Is there anything I can read about? I don't want to pick up a math book that covers things I can't even comprehend...

Thanks guys. I know I am covering a lot of stuff here. Sorry...

 

[jwxie]

any advice, please?
Thanks.

 

[Fizex]

What's your GPA and how many semesters do you have left?
If you want to do research you should get a PhD.
Why are you looking into computational mathematics if you're not strong in math?

 

[jwxie]

Hi, Fizex. Thanks for joining me here.

My GPA is still around 3.2... but those Cs just make me go urgh
I came to US when I was 12, and for the next four years I was basically learning the same materials over and over. At college, as a Computer Engineering major, I would need to take the math sequence for engineering, as well as discrete mathematics (which I think is critical because I was introduced the concepts of sets, graphs, etc).

I was looking into computational math because I enjoy analyzing things. I always like simulation and analytical works. I just don't see myself writing a Facebook UI the whole day. I still love to write software.

The title "computational math" also throws me off. It is usually listed under the Applied Mathematics program. I have been reviewing some of the old stuff, for example,set theory. I don't think math is difficult. I got bad grades only because I procrastinated. I don't see any subjects as being difficult. They are doable if one puts in efforts (although I consider probability as one of the hardest things on earth...).

I have never been exposed to any kind of research. I am trying to perform independent research by looking at some doable interesting problems. Occasionally I solve EulerProject problems.

 

[Matrix0]

First of all, it's great to hear that you are passionate about analyzing and testing things and are dedicated to improving your math skills. I can tell you that having a strong foundation in mathematics is crucial in many fields, especially in computational mathematics.

To answer your first question, yes, you can definitely still go to a good graduate school. Admissions committees look at a variety of factors, not just grades. Your dedication to improving and your passion for the subject will definitely be taken into consideration. Also, keep in mind that graduate schools often look beyond just GPA and take into account your research experience, letters of recommendation, and personal statement.

Now, on to your second question about computational mathematics and analysis. Computational mathematics is a branch of mathematics that focuses on using numerical methods and algorithms to solve mathematical problems that are too complex to be solved analytically. It combines mathematical theory, computer science, and numerical analysis to develop efficient and accurate solutions. On the other hand, computational analysis is a broader term that encompasses the use of computational methods to analyze and interpret data in various fields, such as physics, engineering, and biology. Both fields involve using computers to solve problems, but computational mathematics is more focused on developing and analyzing the algorithms themselves.

As for job opportunities, there are actually a lot of options for those with a background in computational mathematics and analysis. In addition to bioinformatics, there are also opportunities in fields such as finance, data science, and even video game design. Many industries are now relying on computational methods to analyze and interpret large amounts of data, so there is a growing demand for individuals with these skills.

In terms of pursuing a PhD, it really depends on your career goals. If you are interested in research and development in the field of computational mathematics, then a PhD may be necessary. However, if you are more interested in applying these skills in industry, a master's degree may be sufficient. It's important to research the specific requirements for the careers you are interested in and make a decision based on that.

As for finding programs and research opportunities, you can start by looking at universities that have strong programs in computational mathematics or related fields. You can also reach out to professors and researchers in your field of interest and inquire about potential research opportunities. Additionally, attending conferences and workshops related to computational mathematics can also provide valuable networking opportunities and help you learn about current research in the field.

Finally, don't worry about not understanding everything in a math book