Undergraduate summer research program?

[Pagless]

im currently studying civil engineering at your typical technical college. right now I am taking a course in differential equations and i guess you can say I'm relatively interested in it. I've been toying with the idea of minoring in applied mathematics but i guess that's another story.

over the summer the college is offering a summer undergraduate research program for mathematics, the email i received doesn't really say much about the program besides the fact its ten weeks long and that my research problem must be clearly stated in a proposal and that it must contain significance and originality.

now my question is, what can they really expect from an undergraduate student who has just taken what i guess to be a course on the fundamentals of differential equations? has anyone else done anything like this or have any idea what i can expect?

thanks

 

[R.Mesri]

! It sounds like an exciting opportunity to pursue research in mathematics as an undergraduate. Depending on the level of the course you are taking and your own knowledge and experience with differential equations, you should be able to come up with a research proposal that is interesting and significant. You could consider looking into topics related to differential equations such as stability analysis, boundary value problems, or numerical methods. You should also read up on current research in the field so that you can develop an original idea for your project. It's important to remember that the goal of the project isn't necessarily to come up with groundbreaking results; rather, it is to learn more about a particular topic and to gain valuable research experience. Good luck!