Questions tagged [graduate-education]

For questions related to studies for graduate or more-advanced students and courses.

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4
votes
3answers
256 views

Geometry textbook with an abstract algebra emphasis

I'm teaching a variety of undergraduate and graduate geometry classes (mostly for in-service teachers) which range from elementary axiomatic geometry to more advanced transformational geometry. I'm ...
4
votes
0answers
134 views

How fast must one teach category theory? [closed]

For a postgraduate class on category theory, how fast must one teach category theory? What is the pace one must take? Also, what must one assume that the students know? Thanks!
3
votes
1answer
91 views

Is SQL relevant to statisticians' work?

I hope this is the right place for posting this, but if not, please let me know! I recently took a second class in Python programming which, toward the end, also taught a little bit of SQL. As it ...
3
votes
1answer
188 views

Better strategy on math graduate school [closed]

I'm just starting graduate school (master in mathematics) and there we have absolute freedom in choosing the number of courses that we can attend each term. In consequence, I'm wondering what is the ...
3
votes
1answer
136 views

Is it okay to post my own problem set solutions?

There is a set of lecture notes I would like to work through the exercises very carefully. Instead of having thousands of scrap pages lying around my desk - I considered typing them up on and posting ...
3
votes
0answers
166 views

Succinct description of situations where naively obvious is correct, but for far more complicated reasons?

What is the name for a situation where the obvious thing turns out to be true, but the reasoning is more complicated? In abstract algebra we can say the rational numbers - the fractions, $\mathbb{Q}...
3
votes
0answers
113 views

On concentration inequalities [closed]

I would like suggestions for a good text on concentration inequalities (examples here https://en.wikipedia.org/wiki/Concentration_inequality). I am looking for sources (texts) that can give strong ...
3
votes
0answers
115 views

Sketching paraboloids on paper

I have to teach sketching paraboloids on paper by looking at it's equation. Last year when I taught this topic no one was interested in learning this particular thing. They felt the topic difficult ...
3
votes
0answers
124 views

How can I adequately prepare myself for a Master in Mathematics? [closed]

I am an undergraduate student, studying towards a Degree in Applied Mathematics and Statistics. I am studying at an online university specialised in distance learning and I am therefore developing ...
2
votes
2answers
284 views

What does one full year of calculus mean?

If a masters program (Fordham in math education) requires "at least one full year of calculus" does that mean just calc one or more than that?
2
votes
1answer
416 views

Why do the stages of rigorousness have specific timestamps?

This is a reduced quote from There’s more to mathematics than rigour and proofs of Terrence Tao (emphasis mine): The “pre-rigorous” stage, in which mathematics is taught in an informal, ...
2
votes
1answer
149 views

Effective computer lab layouts for a university math class

Many math classes benefit from occasionally being held in a computer lab. My question is about the pros and cons of different layouts and mechanics of a lab and "solutions" you have found to be ...
2
votes
1answer
190 views

Can I be a Maths Teacher? [closed]

I'm 26 and hold a 2.2 degree in Biomedical Science from a British university. I took my A Levels in Biology and Chemistry but only got an AS Level in Maths and Art. My work background is that I have ...
2
votes
0answers
135 views

Why are a.e. defined functions rarely mentioned in elementary books?

In any standard development of measure theory in several well-known textbooks, the use of almost everywhere (a.e.) defined functions are first seen in the statement of Fubini's theorem, which states, ...
2
votes
0answers
169 views

Online open-course-ware that uses Maclane's book “Algebra”

I am struggling with that book which I find to be more of second-guessing type than a book for self-study: it has cryptically written sections, no examples (and those given, and rarely, are even more ...
2
votes
0answers
170 views

How to choose a good PhD student in pure mathematics? [closed]

I have some personal criterion to choose my graduate students including PhDs. Here I would like to know what my colleagues' criterion are to choose their math PhD/MSc students. I hope this may help me ...
1
vote
0answers
61 views

How can I make a shift to applied mathematics? [closed]

I have done dual degree with bachelors in computer science. I am currently a software developer (India). I always have had interest in mathematics. But once was I got into college I did not work ...
0
votes
1answer
73 views

Algebra or Analysis [closed]

I am currently doing MS in Mathematics. As far as I know there are two approaches which anyone can take to do Mathematics- Analysis and Algebra. Choosing which area to work on seems difficult to me. ...
0
votes
2answers
65 views

Can I do a PhD after many years I've graduated and can I get funding? [closed]

I'm in my second year of Mathematics. I would like to take a PhD and if possible also a master. However, I was thinking to take a master in Machine Learning, work for a bit in that industry (5-10 ...

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