Help me choose which courses to take this summer.

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SUMMARY

The discussion centers on selecting summer courses in mathematics, specifically Algebraic Structures, Linear Algebra II, and Discrete Mathematics. The participant expresses a preference for algebra and a dislike for optimization and extensive graphing. Recommendations from other forum members confirm that Linear Algebra II and Algebraic Structures are suitable choices, while Discrete Mathematics is advised as a beneficial third course due to its relevance in combinatorial topics and proofs, which will aid in advanced algebra studies.

PREREQUISITES
  • Understanding of Algebraic Structures
  • Familiarity with Linear Algebra II concepts
  • Basic knowledge of Discrete Mathematics
  • Experience with mathematical proofs
NEXT STEPS
  • Research the syllabus and topics covered in Discrete Mathematics courses
  • Explore advanced topics in Algebraic Structures
  • Study the applications of Linear Algebra II in higher mathematics
  • Review proof techniques commonly used in advanced mathematics
USEFUL FOR

Students considering summer mathematics courses, particularly those interested in algebra and proof-based learning, as well as anyone looking to strengthen their foundation for advanced mathematical studies.

Zill1
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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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