Should I focus on dual enrollment or further my math major in senior year?

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The discussion revolves around course selection for a rising senior considering how to balance math classes with other subjects. The individual is contemplating whether to prioritize dual enrollment math courses, specifically Calc III and Differential Equations (DE), or to fill their schedule with Latin, Chemistry, and Psychology. There is a debate on the benefits of taking advanced math courses versus maintaining a diverse curriculum. Suggestions include taking Calc III alongside Abstract Algebra and Linear Algebra, although this would create a heavy course load. The conversation also touches on the accessibility of 500-level courses for undergraduates, indicating that policies vary by institution. The potential inclusion of Theory of Arithmetic, or number theory, is also mentioned as a consideration for advanced study.
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Obviously, Calc III/Multivariable Calc and DE are sequential, so I'm taking them in sequential semesters next year. I've get 2 free periods for both of those semesters that I'm currently filling with Latin I and II, Chem, and Psychology. As a rising Senior, would it look better to colleges to take the current fillers or should I start working at my math major by taking as many [free] dual enrollment classes as I can? Or a combination?

If I should go ahead with the math classes, what could/should I take concurrently with Calc III and DE?

http://catalog.wcu.edu/content.php?filter[27
 
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And just a general college question: Are 500+ classes off limits to undergrads, even those who demonstrate ability to take such courses?
 
TylerH said:
And just a general college question: Are 500+ classes off limits to undergrads, even those who demonstrate ability to take such courses?

It depends on the school. What school are you referring to?

edit: To be more clear, some schools will allow you to take 500 classes but others will not.
 
If I was in your situation, I'd take calc three with abstract algebra then linear algebra with ODE's; however, that'd be a heavy course load so it's all up to you!
 
Abstract algebra and linear algebra(optimization?) are 500 level courses. There's an introductory class for it. I've studied abstract algebra a little on my own. Would the introduction be necessary?

What do you think about Theory of Arithmetic? Which, I'm guessing, is number theory.
 
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