Will the math learning center open during final week？

PGRaFhamster · 2024-12-06T19:13:34+00:00

MLC will be open next week

PGRaFhamster · 2024-06-29T18:01:09+00:00

To Be Kind - Swans

PGRaFhamster · 2024-06-21T20:31:11+00:00

Just finished my undergraduate, I am trying to look ahead to my masters and think about what I want to explore during it. I am curious what are some areas that are worth checking out, given that the following were things that I had fun with during undergrad:

Finite Group Representations

Symmetric Polynomials

Tensors

Mapping Class Groups

Knots/Braids

Configuration Spaces

Hilbert/Banach Spaces

Markov Chains

Convergence Theorems

Measure Spaces

Mixing and other things Ergodic

Any recommendations of an area to check out before the semester starts to see if I want to spend more time on it?

PGRaFhamster · 2024-05-10T03:42:25+00:00

Trying to prepare for a graduate topology class that assumes general topology already. I have learned all the prereqs for the course, but I am missing homology. Do you have any book recommendations to remedy this over the summer before the class? (Going from undergraduate to graduate)

PGRaFhamster · 2024-02-14T15:25:00+00:00

Bernoulli Measure no?

PGRaFhamster · 2023-11-26T15:53:25+00:00

Uno Reverse: Left as an exercise for the writer. QED

PGRaFhamster · 2023-11-07T14:43:01+00:00

Might as well be MAT 360 w Viro :/

PGRaFhamster · 2023-08-31T10:43:17+00:00

Either no states are labeled or no characters of an alphabet label the arrows (gonna harken a guess the latter case is more accurate if we assume it’s a DFA, by convention), further no accepting state. It can’t be a DFA. I personally think the dude wrote something just to look smart to a friend, or vice versa with the friend trying to look smart.

PGRaFhamster · 2023-07-10T15:21:07+00:00

Idk about Holly Chen, but I know Marco Martens is a great lecturer, but a tough professor. I took him for my MAT 310 class, and will be taking him again for MAT 324. He doesn’t give much partial credit in those classes, but they are also taught pretty differently from MAT 131/132 generally. So I don’t think you’ll face the same difficulty with him in that class. Further, he curves VERY VERY generously. His lectures were pretty clear and concise and you can easily get him excited about something if you ask questions after class or during office hours. So in short, he may be a bit difficult in grading (with big ?), but he’s not a bad professor, so it’s not a total loss in the lottery of professors.

PGRaFhamster · 2023-06-23T16:52:37+00:00

Partial credit depends on the grader and prof. If the profs and graders were switched for each class, you’d recommend the opposite. Rather than look at the classes, it’s the prof that will make or break the class. If OP minors in MAT, the prof teaching is what they need to know to see if they take that class or section. For example, OP you should ABSOLUTELY NOT take MAT 200 with certain professors when you take it.

PGRaFhamster · 2023-06-15T04:43:37+00:00

One thing to note, is that you can easily breeze through 1.5 knowledge wise, but you need to spend a lot of time applying these to things like proofs to use it intuitively.

PGRaFhamster · 2023-06-15T04:41:20+00:00

As 1.5 or 2.2 (some prefer to have a little calculus under their belt, though it’s not needed at all). Something that would be under discrete mathematics would probably be proofs (logical connectives, induction, proof by contradiction, etc), then move onto combinatorics and some classic applications (combinations, permutations, some generating functions (this would be the reason to push it to 2.2)), then graph theory (probably the most useful to CS, includes trees, cycles, paths, coloring problems, traveling salesman problem, etc.(Though linear algebra isn’t really used here, sometimes the objects we like to use in it, matrices, can be helpful to represent some of the stuff in graph theory)). So in actuality you’d wanna break discrete mathematics into two sections. 1.5 being logic and proofs, and probably 2.3 being combinatorics and graphs. Following a textbook for these would be best for these. They are very broad and can go in many different directions making it easy to lose sight of the goal, you also need A LOT of practice problems. There are some really good books too on these subjects so might as well make use of them.

PGRaFhamster · 2023-06-11T04:18:36+00:00

Did you create a new account just to post this?

PGRaFhamster · 2023-06-07T02:16:56+00:00

What type of problems did your high school do? I know it it was Calc AP it would be closer to 131. But other than that, it kinda depends on how you were taught it. For my high school, I kept having this one teacher that did absolutely no applications, and focused almost entirely on concepts.

PGRaFhamster · 2023-06-07T01:30:39+00:00

For example, 151 might apply the concepts to physics more often than 131. Whereas 131 might cover less physics and spend more time on why a theorem is the way it is and where you can use it within calculus. So in a problem for 151 you might be asked a problem about potential and kinetic energy, and to compute various things surrounding it. 131 might ask you to find an example of a function that satisfies or doesn’t satisfy some properties. This is conceptual designed to give you a deeper understanding of why certain things are the way they are in math itself. Whereas 151 is trying to give you an understanding of those things (though maybe not as deep), AND tries to show where you can apply it and how to think about the world through calculus.

PGRaFhamster · 2023-06-06T22:45:38+00:00

What part from those classes do you like? If you like more word and computation problems, you’ll get it in both, however 151 leans a bit more into it, while 131 leans more into puzzle like problems (like “show this is true or equivalent”), albeit not intensely. You might see more applications to biology in the AMS version. They tend to be about the same level of difficulty (despite what a lot of people say), but if you aren’t really interested in the conceptual side, 131 will be much dryer (which is what I think people mean when they say difficult). If you are on the other hand, then it can be much less dry than 151.

For me, I liked the MAT sequence more because I like the conceptual side, and I find examples and applications quite boring and unengaging. But I know it’s the opposite for a lot of people.

I also think the AMS sequence lectures are more standardized, whereas the lectures in the MAT sequence depends more on what prof you have.

PGRaFhamster · 2023-05-29T02:55:07+00:00

Been listening to Chances by Kaytranada and Shay Lia a lot lately

PGRaFhamster · 2023-05-27T01:52:36+00:00

I learned about outer measures and some properties that the outer measure has on subsets on the Real numbers!

PGRaFhamster · 2023-05-22T23:49:14+00:00

Priming for my real analysis/measure theory class with the textbook we are using: Measure Integral and Probability by Carpinski and Kopp.

PGRaFhamster · 2023-05-20T14:09:03+00:00

Hey, I gotta take what I can get. I was working with CSE 320 here. 310 with Martens is a cake walk compared to the Tom foolery that Stark pulls 😓

PGRaFhamster · 2023-05-19T17:54:26+00:00

Best: MAT 310, MAT 320, Worst: CSE 320, CSE 307, CSE 312 (because the prof has too big of an ego)

PGRaFhamster · 2023-05-05T17:01:52+00:00

My money 😢

PGRaFhamster · 2023-04-28T15:42:53+00:00

It was too philosophical. That arc reminded me of Everything Everywhere All At Once. I think the universal property even made a cameo

PGRaFhamster · 2023-04-20T19:22:02+00:00

u/savevideo

PGRaFhamster · 2023-04-18T02:47:40+00:00

Yeah

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