I am an undergraduate student. I have to do a research project for my homework assignment. This is my first maths research so I have no idea what topic should I select and how to start....
I want to do a research which related to Linear algebra because i have just completed this course. Can anyone suggest me the possible and interesting research topics in linear algebra?
Below is the guideline of the research areas which given by my professor:
The areas of research must be mathematics and its applications, such as:
Thank you very much !
- Basic research: algebra, analysis, geometry, probability, statistics, etc.
- Engineering applications: computing, internet, communications, information and digital technology, etc.
- Commercial applications: economics, finance, logistics, management, decision science, operations research, transportation, etc.
- Scientific applications: medicine, physics, chemistry, biology, environment and health problems, etc.
- Innovation designs: image and visualization, games, puzzles, algorithms, etc.
Thanks very much for your help! I like the topic! But I'm still free for suggestions (I just want to have a few selcetions just in case)
But I have one more question, what makes a good mathematical research? Do I have to come up with something new, new idea, new application, etc. (which is like an invention of a small applicable step or something) by myself (i.e. I'm sort of inventing it)? Or can i just present deep information i found from researching, information about the subject? Because just googling things and putting them on paper sounds like... a very simple research, but that's what "research" gives me the impression of, although this time there seem to be an emphasis on "mathematical".
i think an undergraduate advisor can explain to you what you're expected to do in your research. of course, it'd be great if you could do an original work but
i seriously doubt it that in your level they expect you to get new results. anyway, you should talk to an undergraduate advisor in your university for clarification.