For questions related to the teaching and learning of mathematics. Note that Mathematics Educators Stack Exchange may be a better home for narrowly scoped questions on specific issues in mathematics education.

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Is the Science and Knowledge Publishing Corporation a spam journal publisher? [closed]

I submitted my paper entitled " A new result for divisibility among sum power divisor from 3 month ago to this journal ,I have received in this day this message : Title: A new results for ...
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1answer
30 views

Find the value of the Infinite product in terms of k which is a positive integer

$$\prod_{n=k+1}^{+\infty}\left(1-\frac{k^2}{n^2}\right)$$ The only help we have been able to find is that of Euler, anything would be amazing!
2
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1answer
113 views

How to succeed in upper-level math [closed]

This question will essentially be more of a how-to plea or general help request. I'm currently studying math and I'm at the point where I've transitioned into upper-division classes, most if not all ...
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2answers
91 views

a healthy perspective on “knowing everything” [closed]

This is a question about attitude, but related to math studies. I have trouble with two things: 1. making "normal" progress in my learning and 2. having the satisfaction that I understand what is ...
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2answers
101 views

Integral as “Area Under the Curve”

I'm a high school math teacher teaching an introductory calculus course, and I'm having a problem teaching one particular student about the physical definition of an integral. The intuition is that ...
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1answer
40 views

Formula Derivation

What is the formula that can be derived using the values and formulas below to get the value of K43? Here's what I have, so far, but no luck in getting the correct formula: 0 = 925191 - 119355 - (((...
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2answers
60 views

Where is a good source for serious math (wall-size) posters?

Where is a good source for math wall posters that give glimpses of serious and beautiful mathematics? I'm a faculty member looking to find some wall posters (e.g. 2 ft x 3 ft) to hang in a handful of ...
2
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1answer
28 views

An error on the BBC maths revision website?

The multi-choice question, for revision for 12 year olds, is here: A company exchanges foreign currency. They offer $\$1.5$ for each pound. On top of this, they charge a fee of $£4.50$. Which ...
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0answers
37 views

how to solve y^2<x^2 y^2>x^2

Can someone help me with the steps how to solve those inequistins? y^2<x^2 My wrong solution: y^2<x^2 /sqr y<x or y<-x or -y<x or -y<-x https://...
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1answer
61 views

Should I remember the proof of mathematical theorems(every step)?

The problem is, that when I am reading the proof of mathematical theorem(in my case - it is calculus), U understand the idea and every step of proof. But i can't prove the theorem individualy even if ...
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0answers
55 views

Confused about 'staircases'

Hi I'm currently reading a paper, which contains an experiment I was to re-create - is there any chance someone can explain the staircase to me? I've had a quick Google - and I haven't really got ...
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2answers
50 views

Converting from decimal to any number base.

I know that this can a silly question. But I can not find the answer. When converting number bases (from decimal to any other number bases), we divide the decimal number by that base, and write down ...
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2answers
149 views

Math for blind people…

What happens if some blind person want to study math? Is there some "braille alphabet" for mathematical symbols? Are there math books, at least for undergraduate students, written for blind people?
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1answer
29 views

Statement and Proposed Negations

I know this may seem like a really unintellectual question however I was wondering what statements and proposed negations are. My teacher didn't really go over this and I can't seem to find it in my ...
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0answers
27 views

Algorithmic differentiation graph

I have very basic question about reverse mode algorithm calculation. It is well-known that we calculate derivatives according to chain rule, using sub expressions. I was trying to find kind of proof, ...
1
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1answer
116 views

Hypothesis Test Questions

I am currently teaching an introductory level statistics course and I had two quick questions on hypothesis tests. Just to be clear, I have a fairly good background in probability and analysis, but I ...
2
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1answer
82 views

Why is Gaussian elimination still being taught when there are more efficient methods? [closed]

Why is Gaussian elimination still being taught when there are more efficient methods? By efficient methods I mean less time and effort consuming ways to solve a system of linear equations. I have ...
2
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3answers
46 views

How to solve for $\theta$ in $130\cos(\theta) - 122\sin(\theta)=10$?

The original question was solve for $\theta$ in $65\cos(2\theta)-56\sin(2\theta)-55=0$. I reduced it to $\cos(\theta)((130\cos(\theta)-122\sin(\theta))-10=0$, therefore we have a $\theta=0$ but I ...
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2answers
52 views

Definition of manifolds with finite atlas

It is known that any manifold of finite dimension $n$ has an finite atlas (with at most $n+1$ charts). My question is then the following : why don't we define an atlas of a manifold (in the finite ...
4
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1answer
31 views

Systems of ODE to High-Order converstion: Why?

I am the TA for a course in ODE, and one of my students asked me a question yesterday: why in the world do we bother with converting between (constant-coefficient) systems and higher-order ODE? I ...
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0answers
47 views

Motivation for Non-Euclidean geometry: relativity

I'm looking for references to motivate the study of non-Euclidean geometry. In particular I would like something about relativity. I do not want texts to learn non-Euclidean geometry, only ...
4
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1answer
48 views

Corollary **to** Theorem 1.2 or corollary **of** Theorem 1.2?

I think both ways are possible in English, but should I say This is a corollary to Theorem 1.2 or This is a corollary of Theorem 1.2 ?
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0answers
35 views

Need help to visualise Topological Puzzle

I am curious about this puzzle on unlinking the fingers of a rubber man. (https://www.youtube.com/watch?v=olHV4qvSDg8) However, despite the illustrations in the above video, I can't visualize the ...
2
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0answers
59 views

Where to start with Euler and Ramanujan?

What are the specific qualifications for directly studying Euler and Ramanujan's works.Is Hardy's "A Course in Pure Mathematics" a good start?
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4answers
49 views

Numerical property $P(n)$ such that $\forall n P(n)$ is false but a counterexample is difficult to find

I would like to find a nontrivial property $P(n)$ for $n \in \mathbb N$ such that $\forall n P(n)$ is false but the first counterexample can be found only for "very high" $n$ (so high that it wouldn't ...
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1answer
22 views

Assistance with “Negative Countdown”

I'm trying to help my sister with this maths question: In "Negative Countdown" you can add or subtract all of the numbers given to make the target number. The numbers must be only used once, and all ...
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1answer
18 views

Why is $\theta(n*log_{2}(n))+\theta(k*log_{2}(n)$ equal to $\theta(n*Log_{2}(n))$?

I've come across a problem. If I have a row like this P = {1,2,3,4,5,6,7,8,9,10} and |P| = K. How can ...
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1answer
44 views

Is this correct math notation?

Is the following correct? $$ x_{ap} = x_{ij} \quad \forall a,i \in [1,4]\ \forall p,j \in [1,5] $$ I want to write that $x_{ap}$ is equal to $x_{ij}$. And $i$ and $a$ can only be values between $1$ ...
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5answers
235 views

Is $22/7$ an often used approximation for $\pi$?

It is $\pi$-day and the internet is full of stories about $\pi$. One story mentions that "an approximation -- $22/7$ -- is used in many calculations." I have never actually used $22/7$ as an ...
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0answers
25 views

Which FOL consequence relation is better (to teach)?

Backstory: I had problems of accepting Mendelson's rule of Generalization (it's $(A(x) \vdash \forall x, A(x)$). Surfing around the net, I found this post which explained the situation for me: http:/...
3
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2answers
166 views

How to become good in Mathematics? [closed]

I don't know if this is the right place to ask this question...but let's try.... I have seen lots of people all around me, interested in mathematics-ranging from teachers to friends.But,I have seen ...
0
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1answer
23 views

Alternate (approximate) form for Hypergeometric function 1F1(0.5, 1.5, -x)

I have the following Hypergeometric function of the first kind: $_{1}F_1(\frac{1}{2}, \frac{3}{2}, -x)$ where $x$ is not negative. This function can also be written as the following series: $\sum_{...
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1answer
20 views

Annuity and future equivalent values

I need some clarification on the formulas to use for these questions. Q1. If $\$30,000$ is deposited now into a savings account that earns $7\%$ per year, what uniform annual amount could be ...
4
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4answers
109 views

Should I be concerned if I cannot solve most exercises in my textbook?

I'm self studying introductory real analysis. Out of the proofs in each lesson section and the proofs in each exercise section, I can usually work out$\frac{1}{4}$ of them on my own. After trying to ...
3
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1answer
80 views

Self-study High School Math Textbooks?

I'm new to this website so I apologize in advance if what I'm going to ask isn't meant to be posted here. A bit of background though: I haven't been to school in 6 years and the last level I've ...
2
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1answer
55 views

How does mathematicians reconcil the fact that the gradient not drawn with respect to the origin

For example, consider the gradient vector of a function Obviously, $\nabla f(x_o,y_o)$ on the above figure is not attached to the origin. But attached to the point for which it is evaluated at. ...
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1answer
113 views

How to find the no of Questions?

Liz and Mary compete in solving problems. Each of them is given the same list of 100 problems. For any problem, the first of them to solve it gets 4 points, while the second to solve it gets 1 point. ...
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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 ...
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0answers
32 views

By taking a quick glance, do you think this mathematical book is educational and credible?

Long story short, when I was in High school I thought that Mathematics were not for me and that's why I had a hard time studying but as I grew I realized that I was just too lazy to study it and I ...
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0answers
21 views

Approximated second derivative

Approximated second derivative of $y(0)''$ function $y(x)$ at x = 0 difference quotient, using the values ​​of $y(x)$ at the sites of the three-point template $ {x}_{1} = \frac {-4h} { 5}, {x} _ {2} = ...
0
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1answer
58 views

How do I demonstrate that a logical error has been made?

I am grading an introduction to proofs course at my university. We have a question that reads something along the lines of: Prove that $$\forall \ n \in \Bbb N, [\exists \ a \in \Bbb N : n + 1 = 3a \...
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2answers
577 views

What does “Mathematics of Computation” mean?

I visited this link: http://www.ams.org/journals/mcom/1950-04-030/S0025-5718-50-99474-9/ And I a bit confused by its title "Mathematics of Computation". I am not a native English speaker. Could ...
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2answers
51 views

Transmutation of scores

Can you please help me to come up with a formula for transmuting raw scores into percentages the conditions are : The passing score is 40% which is the equivalent is 75, the lowest possible score has ...
1
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1answer
60 views

Is it correct to teach the derivative as the slope of the tangent line?

In introductory calculus, the derivative of a differentiable function $f$ at some point is often taught as being the slope of the tangent line to the graph of the function at that point. My question ...
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2answers
102 views

Interesting real life applications of elementary mathematics

If you teach mathematics to future highschool teachers, you often feel that they are bored because what they learn at university does not have much to do with what they will have to teach in school, ...
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0answers
58 views

Where do they study Riemannian Geometry in Europe? [closed]

I would like to satisfy this curiosity. Which are the European universities that pay more attention and efforts in to research in Riemannian Geometry?
3
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2answers
54 views

how we can calculate $ \frac {\sqrt {x^2} + \sqrt {y^2} }{2 \sqrt {xyz}}$? [closed]

I teach math for Schools. How can Help me in the following past Olympiad question? If $y,z$ be two negative distinct number and $x$ and $y$ be negate of each other, how we can calculate $ \...
4
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3answers
127 views

What kind of mathematics do I need to know to understand virtual reality very well? [closed]

In my life I want to develop the virtual reality industry and I wanted to know what kind of mathematics will help me get there, I'm sure that every mathematical subject is helpful, but I mean ...
4
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0answers
121 views

Why is recursion theory suffering from terminological bloat?

Several questions on MSE in recent months and most recently this one have made me feel that recursion theory is suffering from terminology bloat. Why have so many synonyms for "recursive" and "...
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1answer
64 views

What is the mathematical nature of $i$? [duplicate]

It is well known that $i$ is unit imaginary part of any complex number, but many uses of $i$ show that has others mathematical properties, for example in integration area, if I want to compute ...