Questions related to the teaching and learning of mathematics.

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0
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2answers
272 views

Why mathematics has to be too much formal? [closed]

This is very general question I am asking here. But I think it really needs to be addressed. Whenever I come across a new concept in mathematics, I try to understand it by searching on the internet. ...
5
votes
3answers
140 views

Is there a simple geometrical description of $e$? [duplicate]

Of course I am not looking for a definition through $\int_1^e{1\over x} \, \mathrm{d}x=1$ or that slope of $a^x$ at $x=0$ is $1$ when $a=e$. I am looking for something understandable by a kid who has ...
1
vote
2answers
908 views

convert decimal 1024 to hexadecimal

I need to convert the decimal number 1024 to an hexadecimal number, I do this using these steps http://www.wikihow.com/Convert-from-Decimal-to-Hexadecimal#steps However, whenever I divide 1024 by 16 ...
0
votes
3answers
719 views

What is the most suitable function for a heart? [duplicate]

I have seen some codes to plot heart on matlab, e.g. first example second example How can I prove/find from the theory how to plot a perfect heart?
7
votes
5answers
324 views

Simplest error detecting/correcting codes for math newbies

Suppose you have been given the task of teaching some basic coding theory to folks who are interested in math but have not taken algebra, number theory, etc. If you want to introduce codes, you might ...
1
vote
1answer
105 views

What material is good for Atiyah-Singer index theorem [duplicate]

I want to ask what materials or books can I use to learn the proof of Atiyah-Singer index theorem? I hope such material contains enough preliminaries and background instead of proving the theorem ...
4
votes
1answer
189 views

Hard time delivering other than algebraic proofs

I'm enrolled in some different math (related) courses thought by the CS department at a university (although I'm unable to attend most of the classes due to work). Even though the focus of these ...
3
votes
1answer
616 views

Math refresher that covers several courses?

This is my first post in Mathematics but I'm not new to these forums. I use stakoverflow as I'm in software as a professional. This is going to be long post - not to mention a lot of what may seem a ...
2
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6answers
6k views

Which Mathematical Analysis I Book or Textbook Is The Best?

I'm in search of a mathematical analysis text that covers at least the same material as Walter Rudin's Principles of ... but does so in much more detail, without relegating the important results to ...
5
votes
1answer
276 views

What should I be doing in a grad level math course?

I have an undergrad degree in an engineering field and switched to applied math for a PhD. In engineering, I have had my share of good and bad professors but I knew what I had to be doing during a ...
1
vote
1answer
229 views

Determining Height of Tree

A surveyor needs to determine the height of a tree. She places a mirror on the ground and paces backwards until she sees the top of the tree reflected in the mirror. She marks where she is standing ...
1
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1answer
197 views

Question about the greatest lower bound of sets.

Let $A$ and $B$ be sets of real numbers. Define a set $A+B$ by $A+B =\{a+b|a \in A, b \in B\}$. Show that if $A$ and $B$ are bounded sets, then $g.l.b.(A+B) = (g.l.b. A)+(g.l.b.B)$. (The g.l.b. ...
2
votes
1answer
135 views

Is it possible to do math knowing just naive set theory?

As an undergraduate, I noticed none of my courses in analysis, topology, or algebra require the need to know any set theory beyond naive set theory. My question is is this true for even higher ...
3
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2answers
2k views

Math resources for electrical engineering?

I am considering electrical engineering as my field of study. However, my math knowledge might not be as good as it should be. What math books/resources would you recommend me to read?
0
votes
1answer
113 views

Determining length of an “arc” drawn just below an another arc with known length by intuition

There is an arc a to b. The length is say 1 unit. There is an another arc c to d, drawn just below a to b, such that it sticks with it (ie. No vertical y space). Let us say i have my world ...
7
votes
4answers
2k views

How do you rebuild your Math skills after college?

I minored in Math in college (B.S. Software Engineering), and went through advanced Calc, Differential Equations, etc. But about 6 months after I graduated I had lost all my formulas. Now, about 5 ...
5
votes
2answers
206 views

Flexible distance learning Mathematics programme

I am looking for a flexible Mathematics degree programme from a reputable institution. By flexible here I mean: Able to take the programme at one's own pace The option to complete the programme at ...
3
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2answers
2k views

What are some effective ways in teaching fractions to 5th graders who are behind (special needs)

I am teaching a group of 8 kids on fractions and I did not realize how difficult this can be. These kids were selected by their teachers for needing additional outside help. I really need some advice, ...
0
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1answer
87 views

Why use notations like $f(x)$ while explaining mathematical proofs or equations etc

If there is a variable "$x$" , and another is "$y$", and let's say I know the relation between them as $$x= y+1$$ Now, I want to use them in the explanation of some mathematical ...
1
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3answers
124 views

Help on French Math Education Paper

I am looking for very basic (probably I should say very elementary) papers in french designed for elementary school teachers and elementary school educators. I would appreciate if someone can provide ...
15
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2answers
4k views

Path to Basics in Algebraic Geometry from HS Algebra and Calculus?

In this question, Why study Algebraic Geometry?, Javier Álvarez, develops a succint but encompassing description of algebraic geometry and its spread across different areas of mathematics. Indeed, it ...
5
votes
1answer
3k views

How should I approach the study of Linear Algebra?

I'm a second-year college student having just previously finished calculus (derivatives and integrals, we never really got too far into multivariable calculus though we briefly went over some Taylor ...
13
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1answer
390 views

Developing research experience in mathematics

I am not sure whether this is the right forum for this question, so it might be migrated somewhere else; but, it is, I think, certainly germane to the wider idea of pursuing interesting questions and ...
4
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3answers
217 views

Theory of Equations and Undergraduate Mathematics

I was browsing through a book entitled: Field Theory and Its Classical Problems by Charles Hadlock, one of the Carus Mathematical Monographs titles. In his preface he says the following: In ...
17
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6answers
3k views

How to go from beginner to expert in mathematics?

I'm particularly interested in knowing the order of subjects one should study to become good in mathematics. In my not so great knowledge of the subject I would say that the best place to start could ...
12
votes
1answer
858 views

What is the expected mathematical repertoire of a Ph.D. program applicant?

I am an undergraduate (currently a sophomore) studying to prepare for applying to a Ph.D. program in mathematics. I have thus far structured my course selection upon the advice of a friend I met ...
5
votes
0answers
142 views

Bayes analysis as used in a Presidential Election - with calculations shown

Can you show all the steps needed for a Bayesian probability progression as new information is received. As an example, initial estimate for Obama to win (popular vote) is 55%. In state-A, Democrats ...
15
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5answers
1k views

Is high school contest math useful after high school?

I've been prepping for a lot of high school math competitions this year, and I was just wondering if all the math I learn would actually mean something in college. There is a chance that all of it ...
5
votes
2answers
264 views

How does one best balance learning from a “problem based book” with supplementary material?

We all know that when learning math, one has to do more than just simply read - one must try to solve problems and work actively with the material. Many books try to force the reader to participate ...
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2answers
91 views

Can anyone explain the method used for finding the answer to this question?

I was practising questions on principles on mathematics. I stumbled onto this question and I don't know where to start. Can anyone please help?? If $P_1\,P_2\,\ldots\,P_n$ is a regular polygon in ...
4
votes
2answers
697 views

Is set theory taught in middle school in the US?

I recently learned that one of my cousins who is a 7th grader in the United States is learning naive set theory (sets, maps, 1-1, onto maps, relations). Is this part of middle school math curricula ...
5
votes
3answers
850 views

Good way to learn Ramsey Theory

What are some good books on Ramsey theory? I have Van Lints book on Combinatorics: is this enough preparation to start reading about Ramsey theory? I want a book that includes important results and ...
9
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5answers
2k views

Mathematics, Philosophy and writing.

Do you know of any famous mathematicians who were also philosophers? I have heard of Descartes, Plato and Leibniz. Are there other good examples, especially more modern examples? Also welcome are ...
5
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3answers
219 views

Studying at home and finding good resources in Algebra

I'm a graduate student studying at home. I find that ressources in Mathematics on the web are easier and easier to find, and I am happy for that, because I like to have different points of view about ...
4
votes
1answer
966 views

Mathematical competitions for adults.

I live in Mexico city. However, I am not so interested in whether these exist in my vicinity but want to learn if they exist, if they do then It might be easier to make them more popular in other ...
1
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3answers
153 views

My brothers share from income.

My brother is driving a limo with his partner who told him that they will go 50-50 on income and also 50-50 on gas. So if my brother earns \$1000 by spending \$200 on gas, what will be my brothers ...
3
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0answers
136 views

Is there a way to determine how many solution does “ The hundred Fowls problems” have looking at the coefficients?

I was looking at the different versions of the hundred fowls problems. I came across the problem posed by Chinese mathematicians posed in 5th century,and then Indians in 9th, 10th centuries. Alcuin of ...
1
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1answer
119 views

Riemmans hypothesis and its implications.

Ok so I have heard in all sorts of places that Riemmans hypothesis has very important uses in cryptography. I have heard in many places that if someone solved it he would be able to hack various ...
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4answers
110 views

Complete instead of Complex, Irregular instead of Imaginary

Will the terms complex and imaginary ever be replaced? At least within beginning classes? I imagine it is more of a kind of hazing into the "mathemitician's club" to allow the terms to confuse ...
83
votes
3answers
8k views

Topology: The Board Game

Edit: I've drawn up some different rules, a map and some cards for playing an actual version of the game. They're available at my personal website with a Creative Commons Attribution 4.0 license. ...
6
votes
1answer
325 views

Problem Regarding Time Management

I don’t know whether it’s the right place to ask for such a request. I would like to express my apologies in advance if it anyhow goes against the dignity of the forum. I’m taking preparation for a ...
4
votes
8answers
2k views

Studying Math, All Over Again

I am 16 and never really paid attention to math. For me it was just one more obstacle in passing the exams. Now that I study computers, mostly on my own, I find that there is indeed a need for me to ...
3
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0answers
79 views

Niche topics in math useful for physics

I have a somewhat unorthodox question. What are some good niche topics that aren't typically covered in courses in math to self-study? Ideally, I'm looking for something that could ultimately be ...
3
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0answers
738 views

What should an undergraduate thesis be about? [closed]

I'm very excited to start my undergraduate thesis and I've heard some recommendations for topic but I have a questions and I'd like to hear your opinions. Should I look for the most advanced topic I ...
14
votes
5answers
998 views

Is the skill to learn new math by reading textbook alone (no lectures) required when one becomes a PhD student?

I've taken a few math classes in college. I'm wondering as one graduates college and applies to become a PhD student in math, is he/she going to be required to learn math related materials alone ...
8
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2answers
558 views

Strengthening My Foundation in Mathematics

"For every equation you introduce, you cut your audience in half." This expression, which I believe came from Stephen Hawking, summarizes why I believe that I have a weak foundation in ...
9
votes
6answers
2k views

What is the best base to use?

When I typed this question in google I found this link: http://octomatics.org/ Just from the graphic point of view: this system seems to be easier (when he explains that you can overlap the line). He ...
3
votes
2answers
84 views

Good Technology Resources for a Pre-Algebra Class?

I am looking for some recommendations for good and interesting technology resources for a pre-algebra class. My main goal is to allow the students to be able to self-pace the instruction, out of ...
2
votes
1answer
340 views

How to improve Maths skills after a physics degree.

A few years ago finished a physics degree and one of the biggest lessons I learned is that I need to spend some extra time on pure Maths. In fact I almost wish I done a maths degree first as that ...
8
votes
4answers
3k views

What are the prerequisites for taking introductory abstract algebra?

I am a maths student in my second year of university. I have taken and done quite well in Calculus I, II, III as well as a linear algebra (application focused) class. I have not worked much with ...