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

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1
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1answer
164 views

What major to choose, out of three possible math majors?

I need help with trying to figure out which major I should try to graduate with. Currently, I am a senior undergraduate student with an actuarial science major. I have three actuarial exams finished, ...
0
votes
1answer
452 views

what prerequisite classes must I have before I take Abstract Algebra and Real Analysis at the undergrad level?

what prerequisite classes must I have before I take Abstract Algebra and Real Analysis at the undergrad level? Will these prerequisites help me with these two coursea at the graduate level? or do I ...
3
votes
3answers
118 views

Question on Rudin sequences?

In baby Rudin, Rudin shows that $$\lim_{n \to \infty}\sqrt[n]{p} = 1.$$ In the proof of limit he tries to prove that the limit is $1$. So he takes $x_n = \sqrt[n]{p} - 1$. I have never noticed this ...
1
vote
0answers
131 views

Transitioning From Pure Maths To Applied.

I was wondering if anyone had any experience transitioning from pure mathematics to applied mathematics? I am currently doing an Msc in pure maths and my background is mainly algebraic. I was ...
13
votes
5answers
849 views

Do you memorize all the proof when you study for final exam?

I want some good tips to study mathematics efficiently and effiectively. I know there is a no royal way to master mathematics, however, I want to put more time on studying 'more useful things'. I ...
4
votes
0answers
149 views

Math or CS PhD areas to look at. [closed]

I am looking into getting back to school to get a PhD in Mathematics or Computer Science (I hold MA in Math). I am wondering what new areas of research in Math and CS are promising in a sense that ...
-2
votes
4answers
140 views

Linear Algebra and Set Theory book recommendations.

I would like to studying linear algebra and set theory. Does anyone have a a good recommendation of books/resources/etc.?
2
votes
6answers
448 views

Need advice on whether I should take Algebra 2 next semester

I am an undergraduate primarily interested in pure mathematics, but recently ODE and Linear Algebra have caught my attention. As I study more applied maths, I have less time for pure math. My ...
2
votes
2answers
61 views

Important topics to cover in an intro course to algebraic number theory?

I am currently doing an independent study in algebraic number theory using Stewart and Tall's Algebraic Number Theory and Fermat's Last Theorem textbook. I have covered the material for the course ...
5
votes
1answer
239 views

Where to go from here…graduate school

I am an undergrad math major (minor in applied stats) set to graduate next month. I have been considering graduate school for a long time, and I know I want to pursue at least a Master's in the near ...
2
votes
4answers
344 views

How to choose math courses at uni

I don't know what kind of job I want, but I know I like pure math. It seems people study pure math and then, in the end, realise there is nothing out there for them (jobwise). I don't want this to ...
2
votes
0answers
237 views

Math gre subject test scores and results?

I took the math gre scores back in October and did terribly (52%) even though I was scoring in the 70-80% on practice exams. I am interested in applying to Stanford's ICME and Berkeley's Stats ...
1
vote
0answers
37 views

Senior Research Group

I have been elected to participate in a senior research group where each undergrad has the freedom to choose any advanced topic in mathematics. As far as background, I've taken multivariable calculus ...
38
votes
12answers
3k views

I almost quit self-studying mathematics, but should I continue?

Before I move on to the main idea of this post, I need to tell you some background information about myself. Hopefully, it proves useful for you in giving me advice. I'm a 16 year old high school ...
1
vote
0answers
33 views

Question pertain to graduate programme in astronomy from mathematical background

I am currently an undergraduate student in mathematics, and wanted to pursue a career in astronomy area. What graduate programme should i take? is applied mathematics sufficient? I am currently ...
5
votes
2answers
133 views

Commutative/noncommutative algebra?

I know basic knowledge of undergraduate algebra till galois theory of finite extensions. I want to learn number theory, but also like algebra. This semester I have to choose to read either commutative ...
16
votes
1answer
463 views

Learning Math Efficienctly and Succeeding in Grad School

I'm currently a second year Ph.D. student studying pure math. I've recently come to the conclusion that I must be studying wrong. Actually, more to the point, I must be thinking about mathematics ...
2
votes
2answers
83 views

Informal: What do you do when you cannot understand a proof in a book?

I have just moved to the differentiation chapter in Royden's book on real analysis. Unfortunately, many of these proofs are difficult for me to understand, and no matter how many times I read them, ...
3
votes
2answers
140 views

Real Exponentiation (help with an exercise)

Hi everyone I have serious problems with this exercise. I would appreciate any help. Thanks. (I can use freely any fact regard to real exponentiation when the exponent is a rational number, other ...
2
votes
2answers
169 views

How important are tests in math study?

I'm currently trying to teach myself math through reading. I've made a schedule to keep my pace and to make sure I finish enough problems. Should I add to my routine a timed test now and then?
14
votes
0answers
1k views

What are some strong algebraic number theory PhD programs?

I am currently applying for PhD programs in the US. My main interests are number theory and algebra. More specifically, I am interested in algebraic number theory (number fields, Galois groups, ...
3
votes
2answers
892 views

Learning maths as a hobby - tips and techniques not to forget

I learn math in my free time. I do it mainly as a hobby, but it also helps me as a software engineer. My main resources are MathTutor site and Stroud books. The problem I have is I can't work on math ...
9
votes
4answers
2k views

How to do well on Math Olympiads

I'm a high school student who really likes maths and I'm quite good at school. I want to start training maths by myself but I think I need some guidelines. I want to do well on IMO but I don't know ...
-1
votes
1answer
21 views

Looking into mappings

I'm interested in looking at mappings of functions. For example, how would I come up with a function $f:x\in[0,\infty)|\longmapsto\ (-\infty, 0]$ where $f(x)=x^2.$ Basically I want to glue every ...
3
votes
0answers
62 views

understanding maths by translating it to real world? Any learn to formulate Initiatives? [closed]

I am CSE graduate, I was very much interested in physics. I had several theories during my higher secondary school like i thought of vacuum as a special medium than nothingness and like gravity is ...
0
votes
0answers
31 views

Pyschology Statistics help in understanding a formula

I don't quite understand why we use this formula for sampling distributions between two proportions. I have an upcoming midterm in my psych class and I feel that none of this stuff is sinking in. My ...
10
votes
4answers
519 views

Cheap online graduate math courses

I am an undergraduate math major. I want to have some math graduate courses on my transcript. I can't do this at my university. Are there online graduate math courses that I can take and receive a ...
4
votes
2answers
160 views

Recommendation for learning math [duplicate]

I'm in the 11th grade. At the bachelor exam, my main focus will be on mathematics and informatics. I'm a hard working man, but due to the school norms, I can consider myself idiot at math. Why? ...
1
vote
1answer
144 views

Understand calculus

I am a computer engineering student and lately every thing I see includes math. I have taken all the math courses any one in college should have taken (high school : alg,trig & geom, -sophomore: ...
3
votes
0answers
260 views

What is an acceptable GRE math subject score? [closed]

What is a rough estimate (median or maybe third quartile) on the math subject GRE score for a math program at the PhD level, in applied math, at a Group 2 or Group 3 school? Thanks!
3
votes
2answers
608 views

Are universities teaching math too fast? [closed]

I love math and I feel happy to learn it. But in universities, I think there's too much to learn. For example, in my university, there are mathematical analysis(I,II,III), linear algebra(I,II), ODE, ...
3
votes
1answer
109 views

New ways to light the fire again

Recently I've been studying a lot of analytic geometry and this subject made my motivation drop. The thing is, the courses aren't stopping and I'm beginning to lose the passion I had before. I need ...
9
votes
2answers
916 views

Learning Abstract Algebra for a graduate degree

I would like to do a graduate degree in mathematics, and I have a full year before I will be able to do so (for personal reasons). I mainly have my weekends available to study. I am interested in ...
1
vote
2answers
65 views

First time writing a survey on population models

I am a graduate student trying to write a survey paper on population models. I am new to writing mathematical papers as you guessed. My professor did not give me much direction, but from what I ...
1
vote
1answer
469 views

Is Apostol's Calculus a Good Book to Use for GRE Math Subject Test Prep

I am going to take the math subject GRE, and after looking at the main topics (calculus, diff eqns, linear algebra, prob, and algebra), I got to wondering if Apostol's text on Calculus might not be a ...
38
votes
15answers
4k views

How do I motivate myself to do math again?

I have been thinking of asking for help for a few months now but posting in a public forum like this is intimidating. Still, I am currently in a university studying mathematics as an undergrad. I took ...
3
votes
1answer
137 views

Mathematics in cognitive sciences

Which areas of Maths can be formally studied in a cognitive sc major? Or: which areas of maths can support the study of brain. Some areas that seem relevant would be: mathematical logic, graph theory, ...
4
votes
1answer
117 views

Mathematics for Graduate Political Science

I'm preparing to attend graduate school for political science here in Canada and I'm having something of a crisis. Midway through my degree program I chose to drop my first love (English) to focus on ...
27
votes
6answers
2k views

Cool mathematics I can show to calculus students.

I am a TA for theoretical linear algebra and calculus course this semester. This is an advanced course for strong freshmen. Every discussion section I am trying to show my students (give them as a ...
0
votes
1answer
205 views

Prerequisites of general calculus

I have a unique situation in which I need to know the names of the concepts taught in Pre-Calculus and those taught at the beginning of the school year in Calculus (or just general concepts used in ...
4
votes
1answer
109 views

How to deal with lack of peers?

I am pursuing a B.S in Mathematics(freshman) in a country where people rarely study math for the sake of it and in a new university with good professors. Yet, it is new and I suffer from the lack of ...
6
votes
4answers
1k views

In What order should I Learn math in?

I am a 13 year old boy from Hong Kong, My dad is a math teacher which probably accounts for SOME of my interest in math. I am really interested in math. I self-taught myself (with little help form my ...
4
votes
3answers
285 views

How to learn mathematics as a beginner

I am a 15 year old mobile app developer. I had a tough time understanding maths when i was little, which have thrown me off balance when i try to study maths or attend a maths class. Things don't ...
3
votes
2answers
214 views

Choosing Undergraduate Math Courses to Prep for Physics Ph.D

I'm currently a sophomore majoring in mathematics, and starting next semester I'm start taking elective classes (which is defined as classes that's not required for all math majors, depending on what ...
2
votes
1answer
178 views

Math writing solutions

I will begin to learn in the university next month and I would like to know what is the best way to write math except from handwriting? I am not sure if to use a mathematical software, digital pen or ...
0
votes
1answer
78 views

Good background for PDE

What is a recommended background for graduate level PDE ? My school uses Evans ' PDE book. The PDE I class will cover first 4 or 5 chapters. Any contributing opinion will be appreciated. (My ...
0
votes
1answer
95 views

Combinatorial Game Theory Prerequisites

I am planning to self-study Combinatorial Game Theory. I have gathered some useful references from here. Reference for combinatorial game theory. I plan to make a study about a local combinatorial ...
8
votes
1answer
229 views

Balancing Coursework with original research

I am a first-year graduate student in a US university pursuing a PhD in mathematics. I am a bit frustrated in trying to balance coursework with original research. I saw students who spend most of ...
37
votes
7answers
5k views

How to tell if I'm good enough for graduate school?

I'm concerned about my level of preparation for graduate school. I have decent grades (3.64 GPA, 4.0 in math), great recommendations lined up, and some OK research experience (no publications), but I ...
6
votes
1answer
1k views

Mathematical tripos part III at Cambridge University

I am currently pursuing a Bachelor+Master program in mathematics and physics. While the material is very interesting, I feel it sometimes is lacking in the mathematical rigour necessary for Phd ...