Courses Help me choose which courses to take this summer.

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The discussion centers around course selection for summer registration, with a focus on algebra-related subjects. The participant expresses a preference for Algebraic Structures and Linear Algebra II, aiming to progress towards Lie Algebra. Concerns about taking Differential Equations arise due to a dislike for graphing, as this course typically involves it. The conversation highlights the importance of proofs in Linear Algebra II and upper-level algebra courses. Discrete Mathematics is also discussed, with clarification that it may serve as an introduction to abstract math, covering topics like relations, inductions, and counting techniques. Overall, the consensus is that Linear Algebra II and Algebraic Structures are solid choices, and taking Discrete Mathematics could be beneficial for future studies in algebra.
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My summer registration occurs soon and I would like a bit of input; I have the following choices for courses this summer:

Algebraic Structures
Discrete Mathematics
Differential Equations
Foundations of Mathematics
Analysis I
Linear Algebra II I really enjoy algebra and I am trying to work my way up to learning about Lie Algebra so I figure I will pick up algebraic structures and Linear II, but what about the last one? My least favorite math aspects are optimization and intense amounts of graphing. I don't mind proofs, love algebra, and stats/probability don't bother me much.

Any help you guys can give would be great.
 
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Sounds like you answered your own question since ODE or PDE (you weren't specific) will more than likely have graphing.
 
daveyinaz said:
Sounds like you answered your own question since ODE or PDE (you weren't specific) will more than likely have graphing.

It's all ODE.
 
You don't mind proofs? That's most of what you'll be doing in Linear Algebra II and upper level algebra courses.

Also, is discrete math an actual discrete math course, or is it a sort of intro to abstract math course? At my school, the latter is the case, and it seems to be other places too, which is why I ask.
 
Newtime said:
You don't mind proofs? That's most of what you'll be doing in Linear Algebra II and upper level algebra courses.

Also, is discrete math an actual discrete math course, or is it a sort of intro to abstract math course? At my school, the latter is the case, and it seems to be other places too, which is why I ask.

It's relations, inductions, sets, functions, counting techniques, recurrence relations according to last years syllabus.

And the only proofs I have done were in the analysis intro I am in, so I can't really say whether I love them or hate them; they're just proofs at this point.
 
Zill1 said:
It's relations, inductions, sets, functions, counting techniques, recurrence relations according to last years syllabus.

And the only proofs I have done were in the analysis intro I am in, so I can't really say whether I love them or hate them; they're just proofs at this point.

Gotcha. In any case, I'll confirm what you've already chosen: Linear Algebra II and Algebra seem like good choices. For your third choice, discrete math would probably be a good one to have. It sounds like you'll be introduced to some combinatorial stuff also, in which case, you'll be thankful you took it once you get to higher levels of Algebra and what not - it seems to pop up every now and then.
 
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