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

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4answers
42 views

BEDMAS where the order of Addition before Subtraction matters?

Here is a recent "tricky problem" that is making the rounds on FB: BEDMAS is explained here in a video, with this being the upshot: Everyone understands that ...
1
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1answer
23 views

generalization of the Pythagorean theorem

In school, students learn that in a triangle ABC, ACB is a right angle if and only if AB^2=AC^2+BC^2. This deep relation between geometry and numbers is actually only a partial result as one can say ...
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0answers
22 views

Course or book - Math Foundations in CS

I want to improve my math skills, now I'm trying to find good route for this purpose. I'm using Khan Academy, and recently found "CS103 - Mathematical Foundations of Computing" course which looks good ...
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1answer
38 views

Rename Real and Complex [on hold]

Let's imagine that the definitions of Real numbers and Complex numbers were discovered today. What would be the most suitable names for those new number systems?
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1answer
44 views

Where to start with mathematics for a person who failed mathematics in high school? [on hold]

For someone that failed maths in high school, where would be the best place to start and with what kind of books. First things first: For one who is only interested in algebra and calculus at the ...
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1answer
30 views

What means to publish views/ideas are used, instead of blogs, among mathematicians today?

My question is motivated by the feeling that some mathematics blogs publish less and less over time. Are there other communication means which are used now instead with a similar role, or is it ...
0
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1answer
43 views

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
13 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!
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0answers
39 views

Would any experts be interested in helping me accumulate a knowledge database, for mathematical concepts? [closed]

I'm building a free learning service with crowd sourced information for mathematical concepts. The topics can be widely varying, as I believe users will be looking up an infinite number of topics. All ...
2
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1answer
91 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 ...
1
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2answers
85 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 ...
1
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2answers
90 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
38 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
51 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
votes
1answer
26 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 ...
1
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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 ...
1
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1answer
54 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 ...
0
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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 ...
0
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2answers
32 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 ...
11
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1answer
94 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
24 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 ...
0
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0answers
23 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
112 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
votes
1answer
81 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
votes
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
42 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
29 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
45 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
votes
1answer
45 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
34 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
52 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?
2
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4answers
45 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 ...
0
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1answer
20 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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0answers
43 views

Self-study note taking from a formula heavy math textbook

Having graduated, and trying to decide what I want to do for graduate school I decided I want to read a math textbook. The textbook in question is "An introduction to Analysis of Financial Data with ...
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1answer
16 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 ...
0
votes
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
228 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 ...
2
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0answers
24 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: ...
3
votes
2answers
152 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
votes
1answer
21 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: ...
0
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1answer
17 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
votes
4answers
103 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
votes
1answer
59 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
votes
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. ...
1
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1answer
102 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. ...
8
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0answers
126 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
57 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
547 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 ...