Questions related to the teaching and learning of mathematics.

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1answer
35 views

Causality of a discrete recursive system

I am new in this site and this my first question. How can I mathematically prove that the system with a transfer function like the below one is causal? P.S: I know that for a system to be causal ...
0
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1answer
10 views

Incrementing Number Formula

I am trying to find a formula to express the nth term, the pattern is as follows: n = 4, 5, 6, 7 its corresponding values are as follows: 6, 10, 15, 21 I know this is not worded very well, if ...
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2answers
54 views

Standard Deviation of Population from Sample.

I guess I am a little confused. I am doing t test statistics in my class. I think I know but I would love some insight. I am trying to get the estimated standard deviation for the population. These ...
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1answer
912 views

Upper and Lower Bounds for Confidence Intervals on a one tail hypothesis test.

CI(99) = xbar ± Zcv( σ / √ n -1 ) My question is if the test is a one tail hypothesis test, do I still do two separate equations + and -. Here is the formula filled in (if it is the correct ...
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1answer
14 views

Why am I getting 84.25 instead of 97.68 for my Confidence Interval?

Why am I getting 84.25. I am doing 97.96*(6/sqrt[50-1]) = 97.96*(6/7) I am obviously not doing this correctly please help. It has been sometime since I have done any math.
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1answer
229 views

A Ferris Wheel Word Problem (Trigonometry)

Please help, will give me an idea how to do more of these. A Ferris Wheel called Colossus has a diameter of 158 feet. Using the figure as a model, find the distance traveled by someone starting at ...
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1answer
29 views

What are the variables by which I can differentiate the different fields of math?

Ironically, I'm on a mathematics-based forum using the terms "variables" and "differentiate" in entirely non-mathematical ways, but what I mean by this question is as follows: I'm self-studying and ...
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2answers
104 views

linear congruence questions

A: For the two systems of linear congruences, one system has integer solutions while the other does not. For the system with integer solutions, write down 2 of them whose difference is less than 192. ...
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1answer
28 views

How to work out 3 dimensional vector angles

I've come across this question and cant for the life of me think how to work it out. I understand working out the angle between two vectors e.g. given, vector a(2i+3j-k) and vector b(8i-6j+2k) but am ...
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1answer
54 views

Pre requisites of linear algebra

I want to learn abstract linear algebra. Do I require the knowledge of discrete mathematics before I start? I have the impression that abstract maths and their proofs can be understood easily by the ...
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2answers
150 views

Fundamentals of Algebra - Cancelling Like Terms in Divison

When can, or can't, terms be cancelled. ie: $\frac{3x^2-1}{x^2}$ $x^2$ cannot be cancelled. Why not, and what are the rules?
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1answer
39 views

How to define a set for a matrix

I have a big matrix and I have partitioned it. So, I want to say that I am taking the summation of entries that do not belong to the blocks in the diagonal. How can I say it mathematically. Is it ...
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1answer
58 views

Mean and Variance Statistics

$X_1, X_2, \dots , X_n$ ~ i.i.d $U[0,1]$ a) Find the mean and variance of $lnX_1$. b) Let $0\le a \lt b$. Find the $\lim_{n \to \infty} P(a \le (X_1,X_2, \dots ,X_n)^{(n^ -0.5)}*e^{ ( n^{0.5})}\le ...
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votes
1answer
592 views

Line Drawing Using Bresenham Algorithm

Indicate which raster locations would be chosen by Bersenham’s algorithm when scan converting a line from screen co-ordinates (1,1) to (8,5). First the straight values (initial values) must be found ...
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0answers
34 views

What do you want your children to learn? [closed]

Very unusual question here. Do those of you who have children in elementary school (age 6-10) think that memorization of mathematical facts is over-emphasized compared to concepts? It seems like math ...
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1answer
79 views

Linear Transformation Brief Question

$T:P_{3}\rightarrow P_{3}$ defined by $T(p(t))=tp'(t)+p(0)$ is a linear transformation. Determine whether $T$ is invertible. If yes, find $T^{-1}(q(t))$, where $q(t)$ is a polynomial of degree at ...
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1answer
110 views

interactive training in mathematics olympiad competition for 8th Grade: Ages 13–14.

I'll enjoy your kindness to ask this question, despite that it seems it'snt the right destination. Please show me an url, for training in mathematics olympiad competition for 6th Grade: Ages 11–12. ...
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1answer
44 views

Solving a partial differential equation help

this is my differential equation course. I got back into school after a couple of years. This is just the start of this course and I am having difficulties in one of these practice problems. This is ...
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1answer
371 views

Probability and perfect squares [duplicate]

An integer $n$ is randomly chosen from $1$ to $k^2$, where $k$ is an integer. What is the probability that $n$ is a perfect square? I know I have to first figure out the probability of getting a ...
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1answer
36 views

Realizability in mathematics

What does it mean in mathematics when someone says "it is realizable"? If someone could give me a general and intuitive explanation I would appreciate it. Thank you!
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2answers
153 views

Request for reference and technical support [closed]

I am going to write my master thesis in order to become a teacher of mathematics (with second subject business management). Supported by the ERASMUS program I have the opportunity to do this in ...
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0answers
150 views

looking for guidance in my road to pure mathematics

During my teenage years I got into arts and slowly but surely I continue to pursue different art forms (poetry, music, painting, photography, etc) but it was just recently that I got interested in ...
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2answers
54 views

Profit loss or quantitative aptitude problem

At what percent above the cost price must an articles be marked so ás to gain $17$% after allowing a discount of $10$% ?
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1answer
16 views

Representing expression through a Summatory

I need represent this expression $L_{u_3}u(k-1)+L_{u_2}u(k-2)+L_{u_1}u(k-3)$ by using a summatory, $L_{u}$ is a vector that contains d elements $L_u=\begin{pmatrix}L_{u_1} L_{u_2} ...
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1answer
113 views

Determining length of an “arc” drawn just below an another arc with known length by intuition

There is an arc a to b. The length is say 1 unit. There is an another arc c to d, drawn just below a to b, such that it sticks with it (ie. No vertical y space). Let us say i have my world ...
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0answers
338 views

Teaching the meaning of division to children

When you teach children division, there's an issue of what $a \div b$ means. Here are two answers: 1) Take $a$ things and arrange them in $b$ groups of equal size. $a \div b$ is the number of ...
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1answer
54 views

Knotted up over “unique”

"Every boy has a unique shirt." Does this mean no two boys share the same shirt, or does it mean no two shirts belong to the same boy? I suppose the former, but then what is the most succinct way ...
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votes
2answers
257 views

How to not make mistakes like ($4-20=16$) and other simplistic errors? I've lost 40% of the exam because of this :s [closed]

I would like to ask here a question that is not only about math but about attention. How I might improve in order to don't make mistakes like this.. thanks (: UPDATE1: Recheck every calculation is ...
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1answer
894 views

Accounting Question: Computing margin of Safety Ratio

Smith Company produces desk lamps. The information for June indicated that the selling price was $\$25$ per unit, variable costs were $\$15$ per unit, fixed costs totaled $\$6,000$, and the margin of ...
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votes
1answer
51 views

High School Geometry problem with a triangle and trapezoid in a larger triangle.

In school, I have an assignment to write a problem for geometry students. I have written the following problem. Draw triangle ABC. Let the height have magnitude h. Draw a line segment, DE, which is ...
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1answer
225 views

Relative Percentage vs Percentage Change

If I have a number say "500" and I say that it spiked 4 times (400%) of the original value i.e. "2,000". Does that make sense mathematically and grammatically because I'm talking about relative ...
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2answers
87 views

How to set interesting integrals

I'm teaching integration by substitution and integration by parts and I'd like to make some interesting problems. I'd like to be able to use the chain rule and the product rule to reverse engineer ...
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1answer
3k views

Solutions to Alan Hatcher's “Algebraic Topology”

Does anyone know where I can find (if they exist) full solutions to the exercises of Alan Hatcher's Algebraic Topology? Thanks.
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4answers
35 views

Particles that are distinguishable and indistiguishable at the same time

Thinking about a question and my answer to it and another question I asked earlier. I've come up with the following problem: Consider two otherwise very similar marbles, a red one and a blue one. Let ...
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2answers
105 views

Mathematical field theory Application in real world and other branches of Mathematics

I need to write work about applications of Mathematical field theory in real world and in other branches of Mathematics. Can someone guide me to an appropriate book, resource? Thanks, Denis.
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1answer
108 views

Should i continue trying or am i just not good enough [closed]

You've probably seen many of these, and i'm sorry to create another one but i'm at loss. I want to be a programmer at some point in my life (just finishing highschool) I want to go to university ...
-1
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1answer
336 views

preparation for calculus [closed]

What are the differences in the level and kind of preparedness for calculus typically found in students beginning a calculus course at a university in the USA today, and those beginning such a course ...
-1
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3answers
32 views

What is the difference between the derivative of a sine function between the degrees and radian values?

Is the derivative of the sine function, where the angle is measured in degrees, the same as the derivative of the sine function, where the angle is measured in radians.? Please spare me the ...
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0answers
49 views

Why do some mathematics professors teach more/less courses than others? [migrated]

Not sure if this belongs on the Academia site, but since I'm a math major and the question is based solely on my observation of mathematics professors, I figured this site would be best. At my ...
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votes
2answers
100 views

Mathematics problems clock

Long ago, I had an idea of creating (actually, labeling) a clock that will have, instead of the numbers 1,…,12, important mathematical problems whose solution turned out to be that number. Such a ...
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0answers
28 views

question on Stieltjes-Lebesgue Measure [closed]

I began learning Real Analysis last year and always couldn't find someone to answer my questions till I found this site recently. Hope can find some answer here :) And...BTW, how to display LaTeX ...
-1
votes
1answer
34 views

Can i calculate velocity at a point P without using calculus in this case

I actually wanted to understand calculus. And read many a times, that concept of differentiation is about splitting the path into infinitesimally small divisions. In most cases the such division is ...
-1
votes
1answer
50 views

Learning way and Resource for Complete math Subject. [closed]

I want to learn [self learning] Mathematics from basic.What is the order [like 1) arithmetic,2) Geometry,Etc..] to learn the maths? and what is the best resource to that particular subject?
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votes
1answer
38 views

This is regarding a verbal math problem [closed]

A Shopkeeper buys sweets at 11 for a rupee. He bought an equal number of sweets at 10 for a rupee. he sold all the sweets at 8 for a rupee. find loss or gain % Please solve this for me. I am not able ...
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votes
1answer
648 views

Determine sin cos and tan from slope? NON CALCULator

I am used to finding this by drawing the triangle and knowing the angle measurement. With the angle measurement i can find sin cos and tan. But i dont have angle all I have is line. I have put a ...
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votes
1answer
35 views

Get sides of triangle with only angle as given?

Can someone tell me how to get the sides of triangle(opposite,adjacent and hypotenuse) if i only have an angle as given? I got the angle by getting using atan2(y-y,x-x); Now i want to get the sides ...
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votes
2answers
281 views

Why mathematics has to be too much formal? [closed]

This is very general question I am asking here. But I think it really needs to be addressed. Whenever I come across a new concept in mathematics, I try to understand it by searching on the internet. ...
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votes
4answers
110 views

Complete instead of Complex, Irregular instead of Imaginary

Will the terms complex and imaginary ever be replaced? At least within beginning classes? I imagine it is more of a kind of hazing into the "mathemitician's club" to allow the terms to confuse ...
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3answers
453 views

Software for helping kids learn advanced mathematics? [closed]

What is the best software for helping a 10-year-old learn about advanced mathematics?
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0answers
27 views

What is the maximal number of residents of the city [on hold]

The population of the city Roachrach consists of cockroaches and cucarachas. The number of residents of the city is no greater than 2,000,000. Each cockroach is acquainted with 1,000 cucarachas, and ...