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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0
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1answer
27 views

Finding formula [on hold]

X Y Z Answer 8 2 4 0.5 8 2 2 0 8 2 8 1 My professor gave this as a sort of riddle to figure out, and it's ...
2
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0answers
79 views

Is group theory and in general pure maths useful in applied mathematics?

I've just finished the first year of Mathematics at University. I've already encountered groups, in a soft mini-course that took around half semester. My idea would be to study applied mathematics, ...
1
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0answers
21 views

What is the best way to teach trigonometry and higher level mathematics to young students?

I am teaching some kids (ages 13-15) some basics of functions and trigonometry in a summer camp. I have noticed that 90% of the class is above average and quickly resolve most of the problems. Soon ...
15
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5answers
458 views

Visualization of surface area of a sphere

I help mentor some really young, bright kids in mathematics. We were looking at geometric properties of various shapes, and one of the kids noted that the surface area of a sphere $S = 4\pi r^2$ ...
3
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0answers
62 views

Are there any modern mathematicians whose research interest is in “Probability Theory”?

I have seen professors in universities list "stochastic calculus", "stochastic analysis", "stochastic processes", "stochastic geometry" and "applied probability" as research interests, but are there ...
1
vote
1answer
30 views

How to solve task? With simultaneous movement

Sorry for my bad English. I was preparing for entry into physical and mathematical School high school in my city. But I am stuck while trying to solve this task: On a river, at the same time from ...
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3answers
53 views

How to get kids thinking about the relationship between basic math (algebra/precalculus) and English [closed]

I was wondering, how would you explain to young high school students or grade school kids the relationship between math and English? For me, both are systems that follow certain rules. Math is often ...
0
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0answers
14 views

problem on the concept equation

in this equation why we want to tend the epsilon to zero? What the application of this work? Do we want to calculate of limit value? enter image description here
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0answers
20 views

Where can I practice + - * / and some percentage everyday

I just want to exercise my brain with simple math. My goal is to calculate things in my mind without using a calculator and those things are something happen in my real life. For example: I'm ...
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0answers
8 views

Simple Composite of Relations

My lecturer has given this simple composite of relations question; R = {(1,2), (3,4), (2,1)} S = {(2, 1), (5, 3)} R o S = {(1, 1)} is the answer i acquire. he acquires the answer R o S = {(2,2), (5, ...
1
vote
1answer
24 views

Finite differential?

on my electronics book I found some equations in which there are $\Delta x$ and these are handled with the same rules of differential. For example, if $a$ is a constant: $$\Delta \left(ax\right)=a\...
3
votes
3answers
560 views

How do I accept that math is hard? [closed]

Ever since I began studying mathematics, there were times where I really enjoyed doing so, and then there were times where I didn't enjoy it at all and simply wanted to quit. I guess everyone knows ...
5
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2answers
515 views

Re-write a quadratic equation in another form?

$x^2 + \sqrt{2}x = \frac{1}{2}$ I need to find the real solutions for this equation and write it in this form: $$\frac{-\sqrt{A} \pm B}{C}$$ So when I work the problem out with the quadratic ...
10
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2answers
300 views

Do people with average intelligence stand a chance making a tenure track math professorship at a research university? [closed]

I am interested in math and have been thinking about going for grad school and becoming a research professor since graduating from college. However, a few things that happened recently really make me ...
6
votes
6answers
173 views

How to explain to a school kid that on a sphere the shortest path between 2 points is given by a great circle?

I will be teaching some "topology" to high school students. I was wondering how to explain to such a school student that on a sphere the shortest path between 2 points is given by a great circle? ...
5
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4answers
858 views

Roman Numbers - Conversion to decimal number

I have read that if a smaller number is to the left of a larger number means that the smaller number has to be subtracted from the larger number. Ok I can understand quickly for below Roman Numbers : ...
1
vote
1answer
46 views

How to create a counter example of a matrix with non orthogonal eigenvector?

I am trying to understand this orthogonal eigenvectors $$T = \begin{pmatrix} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \\ \end{pmatrix}$$ let $$u ...
0
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1answer
13 views

How to find equation of a sphere

i'm having difficulty to find equation of a sphere in Mathematica. I already found the radius and center. ...
9
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3answers
118 views

The case for L'Hôpital's rule?

While this may seem very subjective — and, admittedly, my own dislike of L'Hôpital's rule is not entirely devoid of subjectivity — I am looking here for argumented, factual answers. From what I ...
2
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2answers
75 views

Studying mathematics as an Undergraduate [closed]

This is not a question related to a certain topic in mathematics, but more a question about studying mathematics generally. (please forgive me if my vocabulary isn't appropiate, I'm not a native ...
1
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2answers
59 views

Text for honors college algebra and trigonometry

I am looking for suggestions on algebra and trigonometry for students who are interested in majoring in mathematics. So typical texts written for average freshman who is forced to take math as a core ...
10
votes
3answers
270 views

How exactly does Mathematics help me becoming more intelligent (at least, in high school)? [closed]

[Please reditect me to a different site/sub-site/pretty-much-any-relevent-place if I've posted the question in the wrong forum, please do not downvote before attempting to redirect me to the adequate ...
1
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0answers
17 views

Technical Language Usage: Verb for an Equivalence Relationship “Forgetting” an Attribute that is “Modded Away”

This question is one of English usage, but I'm sure only mathematicians can answer it for me. I want to say in a technical report that an attribute is "ignored" or "forgotten" by an equivalence ...
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0answers
21 views

subtraction method

I have studied long ago different method for subtracting two numbers, for instance the borrow method or the Austrian method (I hope I am using the right names; I am not an english native speaker and ...
0
votes
1answer
65 views

How do I get good at calculus in specific, Mathematics in general? [closed]

I understand that this question might look like a duplicate to some others asked before, but I assure you, read on, you'll find my case different (hopefully). I am a 12 grade student from the ISC ...
2
votes
3answers
60 views

Switch from $a\cdot \sin(t) + b \cdot \cos(t)$ to $c \cdot \cos(t+f)$ [closed]

How could I switch from $a\cdot \sin(t) + b \cdot \cos(t)$ to $c \cdot \cos(t+f)$? Thank you for your time.
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2answers
40 views

Differential equation with absolute value $ax'+bx=|\sin(\omega t)|$ [closed]

How could I solve the follow differential equation? $$a\cdot\frac{\text{d}x(t)}{\text{d}t}+b\cdot x(t)=|\sin(\omega t)|$$ Thank you for your time.
16
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4answers
588 views

Gaining Mathematical Maturity [closed]

I was redirected here by a kind fellow from math.overflow. This is not a typical math question, so I apologize if that is discourteous. I am currently a sophomore in my undergraduate mathematics ...
1
vote
1answer
36 views

Geometry (Locus and constructions)

I want to find the equation for the locus that is at the same distance from the point $(2,3)$ to the line $x=1$. Im not sure if I am right or wrong? Is the locus just the two point at a distance=1 ...
1
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0answers
50 views

MIT ocw math/computer science courses for a grade 11 student? [closed]

I am 16 years old and I have decided to take the MIT math and maybe computer science courses online. I love math and computer science and I want to finish the learn the undergraduate courses as soon ...
59
votes
14answers
10k views

Why is radian so common in maths?

I have learned about the correspondence of radians and degrees so 360° degress equals $2\pi$ rad. Now we mostly use radians (integrals and so on) My question: Is it just mathematical convention that ...
0
votes
2answers
24 views

Equivalence between trigonometric functions

could you help me to understand why: $\sin\left(x-\frac{2\pi}{3}\right)=-\cos\left(\frac{\pi}{6}-x\right)$ ? Thank you for your help.
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0answers
11 views

E convergence set in $C^n$ for example

Definition. A subset E of $\mathbb{C}^{n}$ is said to be a convergence set in $\mathbb{C}^{n}$ if $E=Conv(f)$ for some divergent series f of Class $(1,0)$. what is for example $E$?
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1answer
13 views

Parallelogram how to construct [closed]

I have a parallelogram with the perimeter of 0,18m. One side is a=6cm. The height of the ...
3
votes
3answers
49 views

Why do we introduce groups using division?

I am only starting to really study algebra so I apologize if this is an ill-formed question. When learning about groups, why is division used so heavily in the beginning? Would it not be simpler to ...
1
vote
1answer
41 views

How do i calculate the area of shaded region?

I wouldn like to find the area of shaded region which it's circulated by a triangle as show in the below picture ? Note: I tried to draw other circle arround triangle ,but it's seems hard to me to ...
0
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0answers
16 views

A Venn diagram of possible points (critical, stationary, maximum, minimum, inflection, etc.)

I'm looking for a Venn diagram that classifies these points: Critical points, stationary points, maximum points, minimum points, inflection points, etc. This is aimed at intro Calc students. Such a ...
-1
votes
2answers
72 views

Proof without words for logarithmic funtions [closed]

I'm looking for a PROOF WITHOUT words for logarithms. The only one I've seen is calculus based and I need one for a younger audience. Any help/suggestions would be appreciated! This is the example I ...
0
votes
1answer
58 views

Soft Question: Do most mathematicians agree that the function is “the most important concept in all of mathematics”?

Spivak (Calculus, 3e, p. 39) writes: Undoubtedly the most important concept in all of mathematics is that of a function---in almost every branch of modern mathematics functions turn out to be ...
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0answers
24 views

prove de Rham cohomology of S,the “spherical universe,” is 0-dimensional?

How to prove de Rham cohomology of S,the "spherical universe," is 0-dimensional?(Here, S is a rectangle where if you exit the right, the enter from the top and if you exit the left, the enter from the ...
1
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0answers
25 views

Solution of equation $z=a((x-a)e^{2x/a}+x+a)$

I want to solve the equation for $x$ $a((x-a)e^{2x/a}+x+a)-z=0$ Conditions on $a$ and $z$ are: $a,z>0$ and both real. I made some research but couldn't find a lot. Maybe something with the ...
0
votes
1answer
73 views

Why this is not true : ${i}^{n}=0$ for every even positive integer $n$?

Let $i$ be a unit imaginary part , we have for $\theta=\frac{\pi}{2}$: $\left(\cos \theta + i \sin \theta \right)^n = (0+i\sin(\frac{\pi}{2} ))^n=i\sin(n\frac{\pi}{2})=0$ (Using Moiver formual) , ...
55
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8answers
8k views

How to debug math?

May seem strange as I'm good in programming, but I just started diving into math. ATM I'm learning combinatorics at Khan Academy, and here's an example of a question that I struggled with (that's not ...
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votes
2answers
63 views

What are the books that I should study for college? [closed]

Baccalaureate exam approached Real Analysis (limits, differentiation and integration), Abstract Algebra, Functional Algebra, Linear Algebra, Combinatorics, Complex numbers, Vector Geometry, Analytical ...
0
votes
4answers
60 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
24 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 ...
0
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1answer
36 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 ...
1
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1answer
32 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
votes
1answer
47 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 ...
1
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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!