Questions asking for advice on various mathematical matters. Consider adding the tag (soft-question) as well.

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3
votes
1answer
69 views

Advice for Math Majors -What to do if you come into college with a lot of college credit? [on hold]

In high school I was a good maths student and took AP Calculus BC my freshman year and got a 5 and then took Multivariable Calculus, Linear Algebra, Differential Equations, Introduction to ...
1
vote
0answers
26 views

Project-Math-Computing

Im an undergraduate student and me and my roomate who is an undergraduate also would like to do a project together. Im on the pure and some aplied math branch and he is on the computing branch.We are ...
6
votes
0answers
62 views

What do math graduate school look for in prospective student? [closed]

I am a professor at a liberal arts college, and I have thus never been on an admissions committee for math graduate school. I can remember some of the things in my graduate school application that ...
1
vote
2answers
29 views

Why one interval is the subset of an other interval, both lies on the real line?

We have two real intervals [a,b] and [c,d] on the real axis. If the interval [a,b] lies inside the interval [c,d] or in other words [a,b] is the subset of [c,d]. How we can show mathematically or by ...
0
votes
1answer
37 views

How to argu on the interval of real line?

We have the two real intervals [a,b] and [c,d] as shown below, From figure it is very clear that $c\leq a$ and $b \leq d$. I wanted to know what one can give argument on it why is $c \leq a$ and ...
10
votes
0answers
135 views

How beginner researcher or ph. d student should learn new concepts?

I hope this question is o.k for S.E. M. When some one is reading book(monograph); possibly helpful in his/her research, and content is large enough; At the first glance it seems very frustrating and ...
3
votes
1answer
124 views

How to submit a conjecture for review?

I was recently attempting to solve one of the more known, already proved, problems in mathematics when I stumbled across an observation I thought might be worth digging into further. Unfortunately I ...
2
votes
1answer
78 views

Level of Difficulty of an Undergraduate Curriculum

I'm considering joining an University which is renowned for mathematics in my country. The curriculum it offers is as follows : All the courses listed below except the course on Writing of ...
5
votes
1answer
76 views

Research in algebra.

First of all, I don't know if this is the right place to ask about this. If not, please direct me somewhere I can get more help. I like algebra alot as a mathematics undergraduate student on his 3rd ...
2
votes
0answers
60 views

First hand written draft Or LaTex typed draft; when some one want to publish?

When some one solve a math research problem and want to publish it somewhere; of course one should type it in LaTex. My Question: What should be the ideal way(time) to type it, I mean first one ...
7
votes
1answer
113 views

Career advice in Mathematics combined with another sciences

First of all, I don't know if this is the right place to ask about careers. If not, please direct me somewhere I can get more help. Im an undergraduate student in Mathematics on my 3rd year.My ...
0
votes
1answer
59 views

James R. Munkres' TOPOLOGY, 2nd edition: How to check my work?

I'm trying to learn, or revise, some topology from James R. Munkres' TOPOLOGY, 2nd edition. I'm working alone; that is, I'm self-learning. It is quite fun. But the problem is how do I check if I've ...
5
votes
4answers
180 views

Book recommend for topics of Integrals in multivariable calculus.

I am an average student and have to study following topics on my own for the exam : The measure of a bounded interval in $\mathbb R^n$ , the Riemann integral of a bounded function defined on a ...
0
votes
1answer
58 views

An arbitrary guy needs some advice! [closed]

I am doing Mechanical Engineering (2nd year) and it's already becoming clear that I am no more interested in this course.I am very much motivated to study Theoretical Physics and Pure Mathematics(I ...
1
vote
0answers
62 views

Good community colleges for mathematics in US

Which community colleges in the US have the strongest mathematics programs ? After searching a bit on my own, I found North Seattle Community College - it seems to have a little stronger program ...
3
votes
0answers
50 views

Group Theory Research Topics [advice]

I'm currently a Senior Mathematics student in the US. I'm interested in Abstract Algebra, specifically Group Theory (I've taken a course that dealt entirely with Fields, but I enjoy Groups a bit more) ...
3
votes
0answers
45 views

A topic for seminar in finite group theory.

I am doing a course on "Structure of finite groups" and we have a choice of giving a presentation on topics related to the course, Course outline is as follows- I was thinking of O-Nan Scott ...
0
votes
0answers
24 views

How to show that integration contours are related?

I have one geometry below in which the integration contours are shown with red and blue line. How I can show that the contour in blue line i.e (B to C) is with in the integration contour in red ...
3
votes
1answer
47 views

Self-learning Book recommendation for topics in ring-theory

I failed badly in my Internal examination in ring theory , and at any cost want to improve upon my grades in the final eamination,with a month and a half to go .... I haven't yet covered the below ...
0
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0answers
30 views

Integration contour relationship.

We have the two integration contours as shown below, How we can prove that the integration contour B is the subset of the integration contour A? Also note that the figures does not represent the ...
0
votes
0answers
37 views

How to show that the integral converge or diverge?

I have the following integral and wish to see whether it converge or diverge. where the integration contours $-l_1$ to $l_1$ belong to real numbers. I have tried by comparison test like the ...
12
votes
4answers
740 views

Bad at computations… but not math?

Very generally, the question I'm trying to ask is: Can someone be a good professional mathematician without being particularly good at (or even being - relatively - bad at) computations? More ...
2
votes
0answers
31 views

How to relate two integration contour?

How one can relate two integration contour? For example if I have an integration contour like $\int_{-a}^{a}f(x)dx$ here let say a=infinity. How I can say that the integral $\int_{2}^{3}f(x)dx$ is a ...
1
vote
1answer
50 views

Analytic skills in applied math

I am an unexperienced undergraduate student just took few basic math classes. And I have found analysis classes really interesting, like basic analysis, measure theory and functional analysis, and ...
0
votes
0answers
54 views

Easiest Book to start Manifolds.

Ok, so here is the thing. I do not like analysis,Calculus or topology much, nor are they my strong point, but next week I have an exam on manifolds which I have a course First time in my life. I have ...
16
votes
4answers
242 views

Value in retracing mathematicians' steps (specifically Galois)?

So I'd like to learn Galois Theory, which I am probably not "qualified" for in an ordinary sense (I've never done abstract algebra, and I'm just now learning linear algebra in my vector calculus ...
5
votes
0answers
93 views

What does a day in the life of a mathematician look like? [closed]

I'm an undergraduate student trying to get into a graduate school for mathematics. Before I apply, however, I wanted to know what a typical day would look for people with PhD in math in various fields ...
1
vote
0answers
41 views

Best way to learn material dealing with cosets, quotient groups and the isomorphism theorems

I'm self studying abstract algebra from Abstract Algebra by Dummit and Foote. I've been able to get through the first few chapters and do problems without any issue, until I hit the material on ...
4
votes
0answers
145 views

Can I use any theorem I know at an IMO? [closed]

What if I happen to know a (fairly well-known) theorem that trivializes a given problem set at a math contest? Could my answer be rejected (unless I provide proof)? For example, see this question on ...
2
votes
0answers
45 views

Typical course of study chart [closed]

I am an undergraduate student in math and am very interested in the field. I have bought a few books and self-studied on my own as i have free time. The next book i found on amazon was riemannian ...
2
votes
0answers
58 views

self-study hints

A question to those who took rigirous courses like math 25 (Harvard), MATH 295-396 Michigan and etc Being not able to collectively discuss problem sets from the course, as those who involved in ...
4
votes
0answers
92 views

should i try to continue in academia?

I actually have 2 questions. 1.What are my chances of going to grad school, 2.Should i go to grad school If I decide to go to grad school, what are my chances if: I got a C in Algebra first ...
0
votes
0answers
46 views

Prime Gap Conjectures

There are many conjectures which can be proven by proving a tight enough upper bound for the prime gap above $n$. Some of these conjectures are stronger than other conjectures and imply the weaker ...
2
votes
1answer
53 views

Career counselling undergraduation underconfidence

I don't know whether this is the right place to ask this, but I expect you to help me. I am a third year undergraduate student in the Indian Statistical Institute, Bangalore. After completing two ...
1
vote
1answer
70 views

What is the best way to share findings?

I have discovered something. I have some things written in pencil on paper which prove some very important things in number theory. So I want to ask how to write a proof? How do I share my findings? ...
10
votes
5answers
178 views

Algebraic topology in high school?

This winter I am planning on teaching a small seminar (20 lectures 45 minutes each) for high school students. I was was given the freedom to choose the topic of the seminar, but it is supposed to be ...
55
votes
11answers
9k views

Am I just not smart enough? [closed]

When I was doing math, let us say for example, introductory number theory, it seems to take me a lot of time to fully understand a theorem. By understanding, I mean, both intuitively and also ...
0
votes
2answers
57 views

What is the relation between two integrals?

Let us suppose that we have two integrals, $I_1$ and $I_2$ with the same non negative integrand. The integration contour of $I_1$ is a subset of the the integration contour for $I_2$. What can we say ...
0
votes
0answers
23 views

How to select the integration contour

In the following two figures which describe sets, How many possible integration contour we have for the figure 1 and how many integration contour we have for figure 2.
1
vote
1answer
53 views

Interesting and not too difficult topics in geometry

I was asked to give a talk to a mixture of undergraduate and graduate students on a topic of my choosing from differential geometry. The students will mostly not be in geometry; however, I believe I ...
1
vote
2answers
66 views

Enlightening ideas and methods that change one's appoach to problems, theorems or mathematics as a whole

I would like to collect a "big-list" of ideas and methods from different areas (although I'm particularly interested in elementary number theory, algebra, calculus, linear algebra, geometry, physics, ...
8
votes
3answers
184 views

Books that you think you should have read during your undergraduate years

A quite popular question here is "If you could go back in time and tell yourself to read a specific book at the beginning of your career as a mathematician, which book would it be?" I would like to ...
2
votes
0answers
88 views

How do I finish my problem sets on time? (The way I'm solving problems right now is very inefficient)

I'm embarrassed to say this. I'm an Applied Math major, I've been in college for three years, and I've never finished a problem set in my math classes. Despite this, I've only did well enough to least ...
3
votes
0answers
91 views

What is set theory about? [closed]

What is the subject set theory about? What knowledge is required? I am thinking about what subjects I will choose, but I am not sure if I should take this one. That is the course content: Brief ...
3
votes
0answers
36 views

My attempt to gather mathematical spaces in a drawing

There are many spaces (Sobolev, inner product spaces, etc.) that I am not using on a daily basis, but have to recall their definition from time to time. So I decided to draw a synthetic scheme of the ...
0
votes
2answers
41 views

Program that calculates pentagon, given the side lengths

Can you suggest me a free online program, that calculates the area of an irregular pentagon, given the side lengths? Any suggestions would be appreciated! That is the pentagon I am talking about: ...
2
votes
1answer
67 views

How to conceptualize unintuitive topology?

I found Project Origami: Activities for Exploring Mathematics in my university's library the other day and quickly FUBAR'd (folded-up beyond all recognition) the couple sheets of paper I had with me ...
4
votes
1answer
103 views

How important is the “prestige” of your university for undergraduate mathematics?

I go to a university in Canada. It's not really considered a top university (it is one of the best universities in the province but is ranked really low nationally). I study mathematics here and ...
-5
votes
1answer
41 views

advanced algebra function word problem [duplicate]

can you please explain the answer and why you got it? the distance in feet $d(t)$ a dropped object falls in $t$ seconds is given by the function $d(t)=16t^2$. suppose you drop a ball from a height of ...
10
votes
2answers
1k views

I'm feeling demotivated in my undergraduate course

I was a very good math student in high school. I was in the national level Olympiad team. Now I'm studying at the best college in my country with really good mathematicians. I've all almost all of my ...