Courses Need Help Choosing a 3rd year Math Course

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The discussion centers on choosing between two math courses: Algebra 1, which covers group theory and its applications, and Stochastic Processes, focusing on random processes like Markov chains. Key points include the relevance of each course for graduate school applications, with Algebra being favored due to its coverage in the math GRE and its importance in foundational mathematics. Participants note that Algebra is a standard course that graduate committees value, while Stochastic Processes is seen as engaging and applicable, particularly for simulations and modeling. The perceived difficulty of the courses varies, with some considering Algebra easier, especially if they struggle with statistics. Ultimately, the choice depends on the student's future plans and interests in either theoretical or applied mathematics.
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So here is the situation:

I'm starting my third year this September in Applied Math..and I have to decide between 2 different math courses...

1. Algebra 1
An introduction to group theory, including Sylow theorems and structure of finitely generated Abelian groups; applications of group theory.

2. STOCHASTIC PROCESSES
Random walk, Markov chains, discrete and continuous parameter Markov processes, branching processes, birth and death processes, queuing processes.

Which one would be more usefull when it comes to applying for Graduate School? Which one is easier? What are the applications of Algebra vs Stochastic processes?

Any ideas/help would be greatly appreciated.

Thanks
 
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Algebra is better because the math GRE would cover more from group theory than stochastic processes. Plus, Algebra is a standard undergraduate calss the graduate committees like to see (at least I would think that's the case).
 
the algebra course material is brialliantly described in crystal clear fashion and undying prose, in my web notes, downloadable for free as we speak.

but i wouldn't know a stochastic process from a ricci curvature.
 
Thanks you guys

Mathwonk: i took a look at your notes, that's good stuff..

I still don't know which course too choose yet though..
 
stochastic processes is a damn fun class, very very interesting stuff. i love applied math, ie, learning pure mathematics with all the rigor and then applying it to our world.
 
Algebra by far. Group theory is the foundation of so many interesting and beautiful parts of mathematics; plus, as mentioned before, it will help you more on the GREs.
 
So is STOCHASTIC PROCESSES generally an easy course?
 
For applied math, I'd go for the stochastics class, but isn't abstract algebra is a required course?
 
depends on what you plan to do..if you plan to do anything related to simulations & modelling Stochastics would be the better course to take. All those things in that list esp. Markov Chains are useful.

But if you want to take a course for the GREs(which I'm guessing is only american) than go with what others have said.

I would think abstract algebra would be the easier of teh two courses. But that's me personally because I don't understand Statistics that well.
 

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