Tagged Questions

Questions related to the teaching and learning of mathematics.

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-1
votes
0answers
22 views

Where can we Matrix in computer [on hold]

I am actually studying the matrices and I want to find some motivation so i can have fun while studying . my question is what are some uses of the matrices in computer or others , i.e. other form , ...
6
votes
2answers
58 views

Is there a way to simplify this equation

Is there a way to simplify this equation? $$ CE = 2 FD \sin \left( \arctan \left( \frac{AF}{FD} \right) - \arccos\left( \frac{AB}{\sqrt{AF^2+FD^2}}\right) \right) + \sqrt{AF^2+FD^2-AB^2} $$ Edit: ...
0
votes
2answers
35 views

Why do we need zeroes when writing some of those kinds of numbers?

I've looked up that zero is a placeholder in numbers that have this digit. I also figured out what would happen if there's no zero in 5,074 in a math journal. The number would be 5,74, which would ...
1
vote
2answers
51 views

How to find the order of a group generated by two elements?

What is the order of a group $G $ generated by two elements $x$ and $y$ subject only to the relations $x^3 = y^2 = (xy)^2 = 1$? List the subgroups of $G$. Since the above relation is the 'only' ...
2
votes
1answer
49 views

Order of a study

So i just recently had to drop two math courses, topology, math logic, because my math maturity wasn't up to the level needed to excel in them. I intend on taking them again, but not without first ...
0
votes
1answer
26 views

$H$ is the smallest subgroup of $S_n$ containing the transposition $(1,2)$ and the cycle $(1,2,…,n)$ [closed]

For $n>2$, if $H$ is the smallest subgroup of $S_n$ containing the transposition $(1,2)$ and the cycle $(1,2,...,n)$ , then (A) $H = S_n$ (B) $H$ is abelian (C) The index of $H$ in $S_n$ ...
0
votes
0answers
24 views

Appreciating the Distributive Law

I'm going to introduce my middle school students to the distributive law in arithmetic, in a meaningful way so that they understand its importance and value. I need some interesting examples and ...
-6
votes
0answers
21 views

Solve the complex equation [closed]

The question is how to solve this type of question in mathematics?The equation is [2014^2-2020][2014^2+4028-3][2015]÷[2011][2013][2014][2016].Please help me out of this problem?
0
votes
1answer
45 views
+50

How can I retrieve all the results in one go?

Please excuse me for posting this question here, but I'm just not sure where this question properly belongs; moreover, as I'm in search of a funded Masters or PhD in Mathematics abroad, perhaps this ...
5
votes
5answers
414 views

Does it take a genius to do mathematics/physics on a university level? [closed]

I am 16 years old, and I am currently in senior high school. I have developed an interest in mathematics but specifically in physics. I keep hearing how smart physicists are, and how big their IQ is. ...
0
votes
2answers
61 views

I want to study higher mathematics. Where do I start?

Since last year, I've been interested in higher mathematics and don't really know where to start and don't know what knowledge I still need to obtain, before being able to understand the concepts. ...
30
votes
1answer
414 views

What did mathematicians study as an undergraduate/graduate before modern mathematics such as modern algebra and analysis?

I am curious as to what mathematicians such as Leibnitz and Gauss and the Bernoulli's studied when they were students in university. I find it fascinating how we are taught calculus and abstract ...
-1
votes
2answers
81 views

Logical order to understand math? [closed]

Imagine a 30 year old human coming from the wild, never visit a school and nether came in touch with math what so ever. And now imagine this person wants to learn math on an academic level. But where ...
3
votes
2answers
34 views

Theorem of the convergence of the series of fourier! [duplicate]

During the demonstration of the theorem of the convergence of the series of fourier, my teacher wrote :$$ \frac{1}{2}+ \sum_{k=1}^{n} \cos(ky)=\frac{\sin((n+\frac{1}{2})y)}{2\sin(\frac{y}{2})} $$ he ...
1
vote
4answers
807 views

Solved to be 7 after arithmetic

I recently made a blunder while trying to explain a question asked to me in an interview, The question was Think of $X$ Add $X$ to itself ($X+X = y$) Times the result by $3$ ($y\times 3 = z$) ...
0
votes
3answers
34 views

How to compute Final Grade with assignment weightings?

I have just finished the Final for my Computer Hardware course, and I'm trying to figure out where my grade currently stands. The way the class is broken up is 50% weight for the homework, 25% for the ...
0
votes
1answer
20 views

Probability Intersections

$A$ and $B$ are two events from certain probability space $\Omega$. Knowing that: $P(A)=0.6$, $P(B)=0.7 $ and $P(A\cup B)-P(A\cap B) = 0.2$ Determine $P(A\cap B)$ It says in this sheet that the ...
0
votes
1answer
34 views

Choosing final year project [closed]

I'm studying pure math now yet I would like to develop a career in actuarial science. For my final year project, I can choose to either the topic of probability analysis or statistic. While I know ...
2
votes
4answers
174 views

Intiutive argument that $\exp' = \exp$

Is there any intuitive argument or visual "proof" that $\exp' = \exp$? Suppose you have defined the Euler number $\mathrm{e}$ as limit of the sequence $(a_n)$ where $a_n = \left (1 + \frac{1}{n} ...
0
votes
1answer
31 views

Find smallest number bigger than y that is multiple of x

I can't seem to find an answer for this, as all the topics regarding multiples deal with integers... I need to find the smallest number after x that is multiple of 0.36. For example if x = 3000, ...
1
vote
0answers
129 views

Distance Bachelor's degree in mathematics in Europe

This question is largely off-topic for Mathematics stack exchange, but not entirely. Much of the answer depends on personal experiences in learning mathematics. I am looking to go back to school for ...
4
votes
0answers
49 views

From algebraic master degree to algebraic geomery Phd

I am a foreign master student in algebra at the final year. I'm familar with categorical algebra and have interesting in algebraic geomery and number theory. I have learned some knowledge about scheme ...
3
votes
4answers
87 views

Is there an example to demonstrate why $\frac{1}{(1/2)}$ equals $2$?

To explain why $\frac{1}{2}=\frac{2}{4}$ I use slices of pizza and show how eating one slice of a pizza cut in half is the same thing as eating two slices of a pizza cut in quarters. Is there a way ...
1
vote
2answers
23 views

What does conjugation in the time-domain of a signal mean?

I've never been explicitly told what the conjugation of a signal in the time-domain means. I'm mainly asking because in my signals class, my professor stated that for a signal x(t) to be real: x(t) = ...
2
votes
3answers
51 views

Math learning after Differential Equations?

I made it up to DE(Pre-Calc, Calc I and Calc II with basic stats before that same school) in community college through a special program(I'm poor). I'll have to self-teach from now on but am still ...
1
vote
0answers
29 views

Distance Mathematics Education

I want to study mathematics however being employed I could not join a full time course nor I am eligible to study mathematics in India as I study accounting and commerce. So I am looking for an ...
0
votes
0answers
35 views

Is the field of Algebraic Topology still an active field of research?

I have been studying some Algebraic Topology in my free time, and I began to wonder whether it was still an active field of research? If not, what are some of the most active research fields nowadays. ...
1
vote
3answers
34 views

A silly question about potential functions

Why have physicists had the idea to define a potential function of a gradient vector field $\vec F$ to be a function $g$ such that $\vec F=-\nabla g$? What changes if we don't put the negative sign? I ...
4
votes
0answers
45 views

How can I retain the mathematics that I've supposedly learnt?

So my question simply is "What is the best method to make sure you retain what you have learnt?" Okay so I've tried learning mathematics up to where I should be at in the past. Every time though I ...
3
votes
1answer
57 views

Definition of a function and the notation $f:A\to B$.

In some textbooks on analysis, I have encountered a definition of function/mapping that distinguishes the terminology mapping on $A$ to $B$ and mapping from $A$ to $B$; the first one refers to a ...
17
votes
5answers
354 views

Big list of serious but fun “unusual” books

I would like to have some suggestions about serious (that is, with good mathematical content) but fun books that cover topics (or propose problems) in "recreational mathematics"; in any other field ...
4
votes
1answer
26 views

continues function statement in real analysis [closed]

I ran into a challenge, i read following sentence in one note. anyone could describe or prove it for me? F is a continues function at point $ x_0 \Leftrightarrow (x_n \to x_0 \Rightarrow ...
0
votes
2answers
43 views

Is this correct - confused in this riddle - where does the one rupee come from…? [closed]

I have 50 rupees, and spending like this and where does that ONE rupee come from.... am right or wrong ??????
0
votes
0answers
22 views

Is this correct? A snail climbs up a 20 metre wall. [duplicate]

A snail climbs up a 20 metre wall. Every hour it climbs up 5 metres then slides back 3 metres. How long does it take the snail to climb up the wall. My solution: By 16 m, the snail would have taken 8 ...
19
votes
7answers
2k views

Very *mathematical* general physics book

I am searching for a book to study physics. So far, I've been suggested Resnick, Halliday, Krane, Physics, but it doesn't seem to be very suited for a math major. Can you suggest some more ...
1
vote
0answers
46 views

Master in financial mathematics or actuarial science?

I study mathematics and want to study a master degree in Europe that allows me to develop in a different teaching (at least for now) workforce. I am interested in financial mathematics but I've also ...
0
votes
0answers
22 views

Times around an oval track

I have an oval track. In that track their are runners, points of call, and fractional time triggers. The points of call specify what position a runner is behind the leader, and the fractional times ...
0
votes
1answer
21 views

The normal plane to a path

PROBLEM: Let $\vec x(t)$ be a path with $\vec x'$x $\vec x'' \ne 0$ and suppose that there is a point $\vec x_0$ that lies on every normal plane to $\vec x$. Show that the image of $\vec x$ lies on a ...
4
votes
2answers
85 views

What intuition stands behind implicit differentiation

I'm trying to undestand implicit differentation Let's take as a an example equation y^2 + x^2 = 1 1. How i think about how the equation works I think the function as : if x changes then the y term ...
1
vote
0answers
24 views

Which functions could be discussed in a calculus course?

In a typical calculus course, students are exposed to many functions. Some have their origin in a field of study, while others are simply combinations of polynomials, trig functions, exponentials, and ...
6
votes
1answer
97 views

Is the actual learning of a course done in second reading?

I am now a graduate student. When I was an undergraduate, I would mostly study on my own directly from the books, and not concentrate much on lectures. Also, since I was a pretty good student, I would ...
1
vote
1answer
108 views

What does mean the exact value of derivative

i'm starting my calculus's journey and i have a question. What does mean the exact value of a derivative Take an easy example we have a derivative of $f(x)=x^2$, that is $f'(x)=2x$. Someone would ...
5
votes
1answer
88 views

The Use of Sound in Mathematics. [closed]

I'm not sure that this question is appropriate here. There's a good chance it's too opinion-based. If that's the case, I'm sorry. I was sat in a research seminar recently and wondered whether it'd be ...
1
vote
2answers
62 views

Path to 3d Mathematics programming, where to start?

This might read like duplicate of this question https://math.stackexchange.com/search?q=where+to+start However since that one wasn't answered, and I have a more specific problem in regards to ...
1
vote
1answer
45 views

Proof of big-O notation

Prove the following: If f is a polynomial of degree $d$, then $f(n)=O(n^{d})$. For every $d \in N, n^{d} = O(e^{n})$ Intuitively, it makes sense to me that for the first one, growth order depends ...
0
votes
0answers
30 views

Prerequisites for learning 'computer mathematics'.

O.K. I know basic arithmetic and nothing else. I want to be able to implement the algorithms in Knuth's 'The Art of Computer Programming'. I have my own curriculum for the programming aspect. I need ...
-1
votes
0answers
11 views

Let V be the space of polynomials in t of degree

Let V be the space of polynomials in t of degree ≤ n.Show that the {1,t,t2,...tn-1is a basis of V.
-5
votes
1answer
107 views

Are variables the same in pure mathematics??? [closed]

my question is In pure mathematics, $x$ always $=x$ $x = x$, the variables are abstract. In modelling, $t$ could mean the time that has elapsed since you started a machine for example. Or ...
2
votes
1answer
35 views

Vectors and polyhedra: a surprising fact

Given a $n$-faced polyhedron, associate to each face an outward-pointing normal vector with length equal to the area of that face. Show that the sum of these $n$ vectors is zero. I've already proved ...
-1
votes
0answers
22 views

Transforming a calculation into a formula

The figure below shows a way to calculate IT governance performance: I would like to transform step 3 to a formula. Let's say that question 1 is depicted as Q1 and question 2 as Q2. Does the ...