Math Masters Program. Lots of questions. What to do?

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Discussion Overview

The discussion revolves around the choices and challenges faced by a participant who has been accepted into a graduate mathematics program. Key topics include course selection, the value of retaking foundational courses, and the experiences related to teaching and financial considerations as a graduate student.

Discussion Character

  • Exploratory
  • Debate/contested
  • Homework-related
  • Technical explanation

Main Points Raised

  • One participant expresses uncertainty about whether to retake real and complex analysis courses to deepen understanding or to take new courses instead.
  • Another participant suggests that retaking courses can be beneficial for gaining different perspectives and deeper knowledge, citing their own experience with varying course content across institutions.
  • Concerns are raised about the financial realities of living on a stipend and potential scams among fellow students.
  • There is a discussion about teaching methods, with one participant indicating a preference for not delving into complex epsilon-delta concepts with students initially.
  • Another participant shares their approach to teaching algebra concepts and reflects on their own learning experiences.
  • Several participants engage in light-hearted banter about their situations and experiences in the program.

Areas of Agreement / Disagreement

Participants express a range of opinions on the value of retaking courses and the teaching approach, indicating that there is no clear consensus on these topics. Some participants advocate for retaking courses for mastery, while others emphasize the importance of moving on to new material.

Contextual Notes

Participants mention various teaching philosophies and personal experiences, but there are no settled definitions or methodologies discussed. The conversation includes informal remarks and personal anecdotes that may not directly relate to the academic content.

Who May Find This Useful

Graduate students in mathematics or related fields, educators considering teaching methodologies, and individuals interested in the dynamics of graduate programs may find this discussion relevant.

Hammie
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I have been accepted into a graduate program at local university, along with being offered a teaching assistantship. Now comes the choice of what courses to choose.

The master's program requires thirty credits of course work, along which includes introduction to real analysis, intro to complex analysis, both of which I completed in undergraduate study (in a different university). But if I apply these to my master's degree, I still have to fulfill thirty credits of course work. Different classes of course. The university I got undergrad degree from, did not offer an advanced calculus course. So I am obligated to take advanced calculus I at the new place. But it does not yield master's credits. That's ok.. I'll bite the bullet so to speak..

but what about the other classes? Would I be better off repeating complex and real analysis at the master's level.. and really MASTER the material.. or would I be better off, taking the exemption, and going after new material?

More questions forthcoming, but these are good for now..

:)
 
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It seems to me you are a lucky man. It is better to be apointed to a function to high then forever being degraded to somebody you are not.
If it is Set theory don't forget Reichenbach: who defined the diffence of inductive sets (adding one element to another: need of things putting in a rucksack for a vacation) to deductive sets (by their appearance: all red chairs for instance). If it is analysis work to the edge definition soltution of Lagrange? Don't ask the students to much of recopying the proofs with the delta and epsilons, but try to let them USE the theorems as a shortcut to their own goals.
There are proofs of mathematical isues and disproofs. Galois (algebra) proving that all contructions are quadratical - and that trisecting an angle needs a third degree equation is an example of a disproof with very large impact I may say. I have given now answers, but I also could give questions or yet paradoxes...
It is getting late,
greetings Janm
 
JANm said:
It seems to me you are a lucky man. It is better to be apointed to a function to high then forever being degraded to somebody you are not.
If it is Set theory don't forget Reichenbach: who defined the diffence of inductive sets (adding one element to another: need of things putting in a rucksack for a vacation) to deductive sets (by their appearance: all red chairs for instance). If it is analysis work to the edge definition soltution of Lagrange? Don't ask the students to much of recopying the proofs with the delta and epsilons, but try to let them USE the theorems as a shortcut to their own goals.
There are proofs of mathematical isues and disproofs. Galois (algebra) proving that all contructions are quadratical - and that trisecting an angle needs a third degree equation is an example of a disproof with very large impact I may say. I have given now answers, but I also could give questions or yet paradoxes...
It is getting late,
greetings Janm

little drunk janm, no?
 
Thanks for the "advice".. I think..

:biggrin:

now for the important item, or items..

living on a stipend. "It's (almost) a living.."

so what kind of scams am I to expect from fellow program participants? Will I find them pitching pennies on the local corner or something like that?

:biggrin: :biggrin:
 
As for myself, I've considered trying to sell Sierpinski Carpets, cheap..

Real low overhead..

:biggrin:
 
JCVD said:
little drunk janm, no?
Could You please be more specific, or are you a psychologist? If you are then my question is: are you looking to the right sight? I answered a question with three possibilities: Mathematical directions which each have their highlights. If you haven't any questions on these three items, please remain quiet and don't try to find out what my personal condition was when I introduced them.
greetings Janm
 
As far as teaching is concerned.. I have no problem helping those with algebra concepts as "rise over run" and such.. it was as hard for me then, as complex analaysis was last semester.

I don't think I'll be dealing with epsilon-delta concepts with students, for at least a couple of years.. unless the powers that be think otherwise..

:biggrin:
 
as far a "lucky" is concerned.. gawd almighty.. with the economy the way it is, an an older normally non-employable individual being offered this kind of opportunity..

well, what can I say..

I just hope I can "deliver"..

I think I can..
 
Hammie said:
As far as teaching is concerned.. I have no problem helping those with algebra concepts as "rise over run" and such.. it was as hard for me then, as complex analaysis was last semester.
:biggrin:
Hello Hammie
Could you explain to me what: "rise over run" means? With complex analysis in the algebra you mean calculating with i=sqrt(-1), solving quadratic definite polynomes?
greetings Janm
 
  • #10
"rise over run"

Common verbage used to denote slope of a linear function...

Hope that helps...

I'm really in the same situation you are though... except the only difference is that I need to take quals regardless of the masters program or doctoral program. My understanding, and some of the advice that I've taken from my professors at my former institution is that taking classes again doesn't hurt because a) you'll be at the top of your class and will get good review information out of it for the most part, and b) different colleges teach the same courses differently.

I took Real Analysis last year, and one of the courses in the program I recently was accepted to teaches more material than the course I took in undergrad, so I'm hoping to take it because I want to get as much out of it as possible!
 
  • #11
CoachZ said:
"rise over run"
Common verbage used to denote slope of a linear function...

b) different colleges teach the same courses differently.

I took Real Analysis last year, and one of the courses in the program I recently was accepted to teaches more material than the course I took in undergrad, so I'm hoping to take it because I want to get as much out of it as possible!
Hello CoachZ
ROR? where is the expression for depression? Steep over sleep? Down over hill? Turn where you burn? Nice to learn about sayings in other languages but still hard to understand.
Hope for you that different colleges teach differently. Some coarses (but they are not mathematical) teach always the same...
On the third item: if you have to give coarses and to attend them. Make notes (ask for paper and pencil)! And the only homework you do is rewriting them neatly in ascending order to the former college. That is what made me special during my doctoral studies. After six weeks you seem to be the secretarian to colleague students, but also the professor. People think that memory is somethink profound, but is is not. Written material is profound. Its discussable etc...

Just some remarks CoachZ
greetings Janm
 

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