futurist369:
are you a mathematics undergraduate?

Darivie04:


SS1 student.

futurist369:
are you serious or you're joking? If you're saying the truth,then you are lucky to have been exposed to such level of mathematics

Darivie04:

OK, I'll do that...

It was originally this question that sparked my interest in the topic.

graccce:
Pls my pple in economics department do they have mathematics course separately. Thank some should quote me.

Darivie04:

Been going at this question since...

graccce:


Thanks alot,,this really calm my nerves but honestly I'm not too good mathematics, hope I can cope.. Pls what do u advice. Thanks

MathsEconomics:



You have to do something about your Mathematics skills because from your 100level to 400level, you shall have to meet Mathematics every semester you spend in school.
If you neglect Mathematics, you'll definitely struggle in school, ask any Economics student, a lot of Mathematics is required for that course.

Some of the Maths topics you shall meet in school includes Linear Algebra, Calculus, Operations Research, Statistics, etc.

Economics is becoming Mathematical as a discipline and courses like Microeconomics contains a lot of Mathematics. Econometrics is purely Mathematics and Statistics combined to tackle problems in Economics.

You can download good books and brush yourself up a bit before you resume school. I can help with the few soft copies I have (09032151495).

Don't quote my mobile number.

MathsEconomics:



You have to do something about your Mathematics skills because from your 100level to 400level, you shall have to meet Mathematics every semester you spend in school.
If you neglect Mathematics, you'll definitely struggle in school, ask any Economics student, a lot of Mathematics is required for that course.

Some of the Maths topics you shall meet in school includes Linear Algebra, Calculus, Operations Research, Statistics, etc.

Economics is becoming Mathematical as a discipline and courses like Microeconomics contains a lot of Mathematics. Econometrics is purely Mathematics and Statistics combined to tackle problems in Economics.

You can download good books and brush yourself up a bit before you resume school. I can help with the few soft copies I have (09032151495).

Don't quote my mobile number.

MathsEconomics:
General Problem
Difficulty level: SS2
Topic: Number Theory.

Darivie04:

Your doing math and economics which means your going into something like quantitative finance right?

Darivie04:


If a and b are even numbers there is a contradiction cause a^n+b^n is also an even number and therefore has 2 as a prime divisor. 2 can never be written in the for 2nk+1 if n and k are integers.

I might be wrong somewhere though, would be happy for someone to point out where.

MathsEconomics:


The problem asserts nothing on the parity of a and b. So there's no contradiction. However, the condition given in the problem is 2. So even if one is false, the other may still be true.

Darivie04:


Are you referring to the two conditions given for k?

And I assumed that since the question said a and b are natural numbers that whatever two natural numbers I put for a and b as long as a>b the question statement should be true(true for all natural numbers). But then when a and b are two positive even numbers the question statement isn't true(not true for all natural numbers) which is the contradiction I talked about.

Or am I supposed to modify the question a little ?

MathsEconomics:


There's nothing to modify here.

Read the problem again. The condition given in this problem is 2. It asserts that if A doesn't hold, then B must hold.

Darivie04:


I understand the problem but haven't still made much progress. I would like to see the solution tho

MathsEconomics:
Open problem

MathsEconomics:
Polynomial equations

Darivie04:

If by P^2(X) you mean P(P(X)) then P(X) = -2 is the only solution. If by P^2(X) you mean (P(X))^2 then no solution exists.

MathsEconomics:


None of your answers are correct but I actually mean the square of the polynomial and not the composition.

how can you be contacted?

I train students for Mathematics Olympiad.

I'm yet to study functional equation but I can see that f(0)=0

My solution.