This is a link for questions relating to undergraduate research

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0answers
23 views

R: A connection between Binomial Theorem and Leibniz General Rule

$n$ & $m := \{0,1,2\ldots\}$ $\Omega$ & $\beta := \{1,2,3\ldots\}$ [1] If there is a function $F_\beta$ such that for some value $\Omega$ and some function $\mu$ that if $F_1(\sum_{i=0}^{\...
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0answers
21 views

Interesting/emerging research topics in mathematical modelling? [closed]

I get the privilege of doing an undergrad research project next year, and I've decided to go in an applied/computational maths route. The problem is, I have no idea where to start and despite looking ...
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1answer
33 views

Redundant proof in Math paper

Recently, I read a published math paper and I found that in the excessive argument in the proof of one of its theorem. In fact, in my opinion, the redundant part is not even correct, because it ...
4
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0answers
215 views

Research: Looking for a sequence that produce variation's of Pascal's triangle

Prologue I am an undergraduate so if my terminology or approach seem inappropriate/confusing please explain in the comments. I created a notation where $$F(0 \rightarrow n,x) = [\hspace{1mm}F(0 ,...
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0answers
22 views

Differentiating a Unique Multi-variable Function

I found this interesting property during my research were $\beta$ is some function of x and the a,e,n are all dependent on x; If $\frac{d \hspace{1pt} \beta(a,e,n)}{dx}=\beta(a+\phi,e,n)+\beta(a,e+\...
2
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1answer
109 views

RESEARCH Q: Finding the n-th derivative of the Quotient Rule

I am a sophomore at a community college so if my writing sounds a bit gibberish please ask for clarification. My goal is to find a sequence/series that can summarize the nth derivative of a $u/v $ ...
2
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1answer
81 views

Pure mathematics research [closed]

What can a first year mathematics undergraduate, who wants to pursue research in pure mathematics, learn in 67 days that will help him in the future?
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0answers
27 views

Advice on Research topics in Linear Algebra

I am a rising senior undergraduate student. I have taken following courses and I have an opportunity to do a project in Applied Linear Algebra at a fairly good Mathematics department. I am trying to ...
3
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1answer
76 views

Understanding principal value integral

I'm reading the original article on distance covariance (link), and throughout the article the author uses the following lemma: Can someone please explain what he actually means by "principal value ...
2
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1answer
27 views

Limit points of $\lbrace f(n) \rbrace$

In this paper On the Limit Points of the Sequence $\sin n$ the author proves that the limit points of this sequence are the real numbers in $[0,1]$. My question is: Are there other functions $f$ such ...
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0answers
20 views

Dynamical system in a square

I am considering a problem that is asking me to explore a deceptively simple dynamical system and discover some of surprising properties. I want to consider the motion of four particles A,B,C and D in ...
0
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2answers
49 views

probability of getting an erdos number once published [closed]

Can I know that I don't have an erdos number once I published, what the probability is of getting an erdos number with "random" coauthors or can I formulate the probability of having a finite erdos ...
0
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0answers
35 views

Error Correcting Code and Graph Theory

I am currently in an introductory graph theory class, and we are supposed to give a short presentation by the end of the semester. Recently, I've learned (a very small amount) about error correcting ...
3
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5answers
85 views

Recommended books that discuss the Fundamental Theorem of Algebra?

I've been assigned to do a project on the Fundamental Theorem of Algebra and in particular discuss it's proofs and applications. I was wondering if anyone could recommend books that would aid me in my ...
2
votes
2answers
108 views

Advice for an undergraduate math major [closed]

I've recently switched into the mathematics department at my university preceding my second sophomore semester. My question is the following: What should I study over the summer to best aid my ...
8
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0answers
165 views

How can I begin reading journals and papers?

I am an undergraduate CS student but I love Math and spend most of my time doing and reading Maths books. I realise that it's important to get into the habit of reading papers and journals so it will ...
0
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1answer
105 views

Question about Bachelor thesis and future lectures. [closed]

I just finished my exams one day ago but lectures will already reassume in less than two weeks. I currently finished my 5th semester and will therefore tackle my last semester of my bachelors. But I'm ...
1
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1answer
201 views

Undergraduate set theory research [closed]

What are some topics for undergraduate Set Theory research? And what are the prerequisites for such topics? I'm graduating next year, and I'm interested in Set Theory. I have been always interested ...
3
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0answers
190 views

Inquiry about My Self-Study Plan for Real Analysis (associated with my undergraduate research) [closed]

S.E advisers, I am a college sophomore in US with a major in mathematics and an aspiring mathematician in the computation theory and cryptography. I recently got an undergraduate research in the ...
1
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1answer
113 views

Researching in Mathematics [closed]

I am presently pursuing Engineering, but I want to make my career in the field of mathematics. How do I come to know of the specific topic in math in which I would like to research, in which I would ...
18
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4answers
604 views

Problems from the Kourovka Notebook that undergraduate students can fully appreciate

The Kourovka Notebook is a collection of open problems in Group Theory. My question is: could you point out some (a "big-list" of) problems [by referencing them] presented in this book that are, ...
26
votes
2answers
976 views

Collections of undergraduate research projects [closed]

I would like to compile a "big list" of undergraduate research projects in the following areas of mathematics: calculus; analysis; abstract algebra; linear algebra; number theory; geometry; ...
2
votes
1answer
106 views

Undergraduate Project Suggestions

A student of mine has expressed interest in doing an independent project next quarter with me. This would not be for credit and it is purely for her own educational stimulation. She wants to study ...
6
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1answer
292 views

Recommended research topics for high school student

I am a high school senior and I am interested in doing a math research. I hope someone can recommend areas or topics of research that are challenging, rewarding, and yet do not exceed my capability. (...
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11answers
3k views

Gap year to study math

This is a plan in its earliest and thus least concise stage, so either bear with me or don't read the following babble (I bolded some of the important stuff): I am a high school graduate who is about ...
1
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1answer
93 views

How do you use reference books?

Reference books at the research levels often does not include any problem or exercise. While you can't read these books like novels(you normally need to work on other sheet of paper), I'm just ...
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3answers
2k views

Does writing a bachelor thesis make sense?

I am a math student in my fourth semester. At my university, it is common to write a bachelor-thesis in the end of the bachelor program in almost all subjects while in the math undergraduate program ...
12
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1answer
938 views

Undergraduate Mathematics Research [closed]

I am currently an undergraduate junior. I have taken most of the standard undergraduate math courses and a few introductory graduate courses (measure theory, algebraic topology, complex analysis, ...
11
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4answers
2k views

Topics on Number theory for undergraduate to do a project [closed]

Im an undergraduate in the mathematics field ..So i wanna be alittle more productive and wanted to do an essay or project mostly on number theory or Algebra(Rings or Groups) and i want to ask if you ...
4
votes
6answers
3k views

Applications of Complex Numbers

For my Complex Analysis course, we are to look up applications of Complex Numbers in the real world. The semester has just started and I am still new to the complex field. I want to get a head start ...
6
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3answers
1k views

How to stay academically active during a Mathematics Gap Year? [closed]

This year I started at the University of Cambridge to study Maths. I was very unfortunate to contract a serious infection early on in the term, and as a reult it has been mutually decided between ...
1
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1answer
103 views

I have reached a rut in my understanding of control systems. How do I cross this?

A little background here. I'm an undergrad in the final year. I have decided academia as my career path. My grades are not high but my research caliber is good and I have ongoing projects that are ...
47
votes
6answers
10k views

What is mathematical research like?

I'm planning on applying for a math research program over the summer, but I'm slightly nervous about it just because the name math research sounds strange to me. What does math research entail exactly?...