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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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
110 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
89 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
117 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
181 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} = ...
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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
590 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
60 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
61 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
104 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, ...
3
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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
55 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 $ \...
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3answers
140 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
122 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
65 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 ...
0
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1answer
37 views

Is there a unique solution to this upstream/downstream canoe rowing proposition?

A man jumped into his canoe and paddled upstream for one mile. After this, he continued for another fifteen minutes. Having arrived at his destination, he then turned around and paddled downstream, ...
18
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7answers
1k views

How does advancing through the math major work? [closed]

I am an undergrad math major that just completed Calculus 3 last semester. This semester I signed up for Discrete Mathematics, and will be taking Intro to Advanced/Abstract Math next. Of course-- I ...
1
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0answers
78 views

Polar System with Short Answers, How $U(0, \theta)=\pi$ will be calculated?

I read some notes on Laplace. I ran into a short answer question as follows. We have a Laplace equation in Polar Systems: $\frac{1}{r}\frac{\partial}{\partial r}(r\frac{\partial u}{\partial r})+\...
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1answer
46 views

Good introductory book in geometric probability

I recently came across the proof of the Buffon theorem and I was fascinated by geometric probability. Could someone indicate me a good introductory book? Maybe with many exercises?
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2answers
661 views

Is it to the students' advantage to learn the language of infinitesimals? [closed]

A colleague of mine asked an interesting question reproduced below with his permission. It is reasonable to ask whether it is to the students' advantage to learn the language of infinitesimals - ...
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0answers
45 views

Methods for solving for partial fraction coefficients.

When I present partial fraction decomposition, there are typically two approaches to solve for the coefficients of the fractions: Clear the fractions, multiply out the products, and equate ...
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20answers
996 views

What are some surprising appearances of $e$?

I recently came across the following beautiful and seemingly out-of-the-blue appearance of $e$: $E[\xi]=e$, where $\xi$ is a random variable that is defined as follows. It's the minimum number of ...
2
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2answers
40 views

How to express $\log_5 2$ in terms of a and b (Refer to qn)

In my textbook, I came across this interesting question which I am currently struggling to solve: If $\log_6 2 = a$ and $\log_5 3 = b$, express $\log_5 2$ in terms of a and b The solution given is $\...
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1answer
32 views

convert Hex value to two's Complement

for example, let's say: 0xE5 assume the system is 8 -bit in decimal it's = 229 and in Binary it's = 1110 0101 the Two's Complement rules said: sign-bit, which's the most left, indicates a negative ...
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0answers
91 views

Game Theory Projects for Undergrads

I am looking for some project ideas for beginning math students in the topic of game theory. I am not very knowledgeable in the topic so it would be great if I could get an good introductory source to ...
4
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2answers
125 views

recommend math books [closed]

So i completed an year ago my schooling and i am pretty good at maths well at my level and i am very interested in maths and want to learn as much maths as possible and i like stuff like number theory....
1
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1answer
39 views

Why are surds put on the numerator in the final answer when it is a fraction. [duplicate]

I have learnt that a fraction with a surd in its most simplest form should have the surd in the numerator and not the denominator? Why is it convention not to leave the surd on the denominator? Is it ...
0
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0answers
13 views

consider the coordinates of the bounding area inclusive the range coordinates

I am stuck with a very trivial issue here. I have following coordinates: (xMin,yMin) = (-500,-500) (xMax,yMax) = (764,-26) and the step size is 79. I need to consider all the coordinates inclusive ...
2
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0answers
31 views

E versus e when using scientific notation

When I was calculating pressures in different units, I decided to use Google out of laziness. First I tried: 1.013e-10 mbar and received a result of: ...
2
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2answers
59 views

Mathematical usage of “$\dots$” during enumeration, is it ok to be imprecise?

I am guilty of writing things like the following in proofs: so by lemma 1.2 we have that for $k<n$ all of the integers $k,k+1,k+2,k+3,\dots ,n$ are pompous. I really like how this looks, the ...
4
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1answer
80 views

Theorem 2.27 (a) in Baby Rudin: Is his proof complete enough?

Here's Theorem 2.27 (a) in the book Principles of Mathematical Analysis by Walter Rudin, 3rd edition: If $X$ is a metric space and $E \subset X$, then $\overline{E}$ is closed. Now here's ...
2
votes
1answer
100 views

What's the mathematical symbol to say “It doesn't depend on …”?

If I want to say x doesn't exist I would use the symbol $\nexists$ If I want to say x is a member of... I would use $\in$ But what's the symbol to say y doesn't depend on x? I know I could write ...
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3answers
125 views

Logic with numbers

Nick wrote each of the numbers from 1 to 9 in the cells of the 3x3 table below. Only 4 of the numbers can be seen in the figure. Nick noticed that for the number 5, the sum of the numbers in the ...
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5answers
92 views

How to prove $\sin3θ=3\sinθ-4\sin^3θ$

I was solving an A Level past paper (November 2014 P32) when I stumbled upon this question. It first asks us to expand $\sin(2θ+θ)$ which is easy using the identity $\sin(A+B)=\sin A\cos B+\cos A\sin ...
2
votes
1answer
164 views

How important is the choice of books in studying Analysis?

I am in a fix. I have done a graduate course in Pure Mathematics.I love to study abstract algebra.I want to do postgraduate in Mathematics especially in Abstract Algebra . In order to enter a ...
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0answers
67 views

Got some problem with math [closed]

First of all sorry, if this is the wrong place to post this, didn't found a better tag for it. So I used to be/am quite good in math, however recently I discovered a big weakness I have. Whenever I ...
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0answers
39 views

List of Interesting African Mathematics Blogs

Title says it all: looking for info on any Mathematics blogs that are either contributed to by bloggers on the African continent, or have an African continent focus (for example someone living outside ...
1
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1answer
37 views

Estimating Number of Scratch Tickets Remaining

So, in my statistics class we discussed the recent huge jackpot, but we decided to focus on something more "trackable"—scratch tickets. A part of the assignment is to figure out how many tickets are ...
0
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3answers
69 views

What is the probability that a person wins the game on the first roll?

I can't seem to find an answer for the title/question above and so I thought I'd ask. The aim of the game is to get a higher number than your competitor using only one dice. If two people (For ...
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3answers
55 views

Understanding (proportional to) through an example.

This question may be redundant and I apologize in advance but I am really having a hard time to digest the notion of proportional to in mathematics. Kindly, can someone simplify the idea of it and ...
0
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2answers
36 views

Can someone explain how I can triangulate using angles and one side of a Right-angled triangle?

I've been looking around, trying to find a simple way explaining why and how to calculate distance using the triangulation technique, but I'm still pretty confused, I've got some simple math notions, ...
2
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0answers
63 views

Increased Math Productivity on Mobile Devices [closed]

I have been answering questions on Math.SE for a (relatively) short time now, and I have found that answering questions on my Android phone is somewhat of a nightmare. I end up commenting much of the ...
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0answers
25 views

summer program for college freshman

I'm a college freshman and I'm studying mathematics. Do you know any summer programs that would be suitable for a European student? If you have any personal experience, can you tell me about it? ...
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0answers
58 views

Are there any online math games similar to CheckIO or CodeCombat?

There are several nice online programming games where you need to solve problems in one place to unlock other places on the map. Are you aware of similar games focussing on math problems? Or (even ...
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0answers
172 views

Freshman calculus - Stokes's theorem proof

Many calculus text books and courses do not introduce full proof of Stokes's theorem because of differential forms and topological concepts. There are only restrict proofs (for example, simple ...
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0answers
17 views

Input a matrix with integral element in matlab

I am working on stochastic fractional differential equation , like below $$ D^2y+D^{\frac{3}{2}}y+y=1+t ,\space y(0)=0 ,y(1)=2$$I use RBF's (radial basis function) to solve it .so $y \sim \lambda_1 \...
1
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1answer
103 views

Scratch paper alternatives? [closed]

How do you practice complicated calculation when the problem is displayed on your computer screen? Do you always have pieces of paper on the side, or do you have a Wacom tablet connected to your ...