Project maths definitions

carlos123455

Does anyone have a list of defininitions we need to know for honours level project maths?

MathsManiac

You don't need to know any definitions. You need to be able to explain any term or idea that you encounter on the course.

So, if you come across some mathematical term that you don't understand, ask your teacher what it means. Once you understand things, you'll be grand.

Undeadfred

A definition would do that

peekachoo

Isn't there definitions though? Like for eg in statistics with different types of samplings? And in the mocks we were ask to define an axiom and a theorem and explain the difference

Jade.

peekachoo wrote: »

Isn't there definitions though? Like for eg in statistics with different types of samplings? And in the mocks we were ask to define an axiom and a theorem and explain the difference

Yeah that's what I thought!

Or the fundemental principal of counting etc

Undeadfred

God, Project Maths is turning maths into a science subject almost

peekachoo

Funny you say that, the only reason I knew those definitions was from the biology course!

Undeadfred

Lol yeah its ridiculous.

they've also done away with a lot of essential maths like matrices and a good chunk of calculus

MathsManiac

I think you'll find that the instruction "Define..." has not appeared on any official project maths exam papers (i.e., SEC ones).

On the other hand, "Explain..." appears quite often.

If you were asked to explain something, a definition MIGHT get the marks - I don't know for sure. It might depend on the term concerned. I repeat that, in my view, the best way to be prepared to explain any term you encounter, is to try to make sure you understand all the terms you use. That's not unreasonable is it? On the other hand, it would be crazy to try to learn off a definition of very single maths term you encounter. That would drive you nuts, and it's neither helpful nor necessary: definition of an equation, definition of a function, definition of a real number, definition of a triangle, definition of perimeter, definition of area, definition of a variable, definition of a line, ... this is the surest route to lunacy.

I don't think I ever learned off definitions of any of those things, but I could still explain any of them if I was asked. (In fact, I could probably construct a definition of each of them on the hoof as well, because I understand them.)

Certainly there are occasions where it's useful in maths to have a clear definition of things; definitions are a regular feature of formal courses in maths. And often a definition IS he best way to explain something. But defining and explaining are not the same thing. There are terms in the geometry course that are given explicit definitions, so I suppose you could learn them if you want. They're given on page 44 of the syllabus, which is here.

As for the different kinds of sampling, if you understand what each of them is and the pros and cons of each, then you'll be able to explain them if asked. Ideally, you'll have conducted statistical investigations in which you had to consider these different kinds of sampling when planning your investigation; that's probably the best way to get to understand such things.