whats the difference between mechanics in math,statistics in math,pure math & further math at advanced level?

Question

You dont have to give all definitions and relevence of study if you dont know them all.But please state which is the best and most recognised in your point of view and why.

Answer 1

WHY? And why all the research?! My brain is overheated lol.

It's as simple as this: math is NUMBERS and equations. Science is theories and is environmental. Advanced math deals with MORE numbers and MORE equations.

Answer 2

For the GCE "A" Levels,

Mechanics Papers 4 and 5 - similar to that in Physics where kinematic formulae, concepts of power and energy, Newton's Laws... are looked into. It requires a good knowledge of Trigonometry too as projectiles and forces are often applied at angles. Good if you intend to do Physics and engineering-type subjects in the university.

Statistics Papers 6 and 7 - you look at the various distributions and learn of their uses, e.g Normal, Poisson, t, chi...

Pure Maths Papers 1, 2 and 3 - trigonometry, geometry ...

In this Mathematics syllabus, you choose either:
- Paper 1 and 3, Paper 1 and 4 or Paper 1 and 6 in your first year (Year 12)
- Paper 2 and 5 or Paper 2 and 6 in your second year. (Year 13)

Further Mathematics is a different subject, where the Mathematics topics of Pure, Mechanics and Statistics are of a higher level.

Answer 3

Mechanics is about mechanics, think physics related maths; moments, newtons laws etc.. Pure maths is mainly calculus and trig and Statistics is statistics; standard deviations, means, sampling etc. Pure Maths is most recognised because its harder to grasp. Further Maths is just harder Maths, well not necessarily harder, but more advanced, building on the knowledge from ordinary maths.

I did maths and further maths at a level (dunno if this is relevant to you, ignore it if it's not) and to get both a levels you have to do them in a year. So the first year was 3 pure modules, a mechanic module and a stats module (and a dodgy decision "maths" module). The mechanics was the basics; moments, newtons laws and physics type stuff like equations of motion. The stats was all like GCSE type stuff built on a bit; standard deviation, variance , normal distribution, poisson distribution and another type I forgot. The pure was easier at first then a little difficult toward the end, I can't remember the ins and outs of it but it was less fancy - if that makes sense, which is what makes it more appreciated, plus unless you're doing a degree in maths it's highly unlikely that you'll build on anything but the pure maths. HTH

Answer 4

Mechanics is the study of how systems work very much allied to engineering and physics, lots of force diagrams, vectors and men riding bicycles up slopes. This is best if you want to study a physical science at Uni.

Statistics deals with the manipulation and utilisation of data, as you know you can use statistics to prove just about anything eg that any number smaller than infinity is so small as to make it not worth the effort. Management students and medics appreciate a study of stats.

Pure maths is usually studied in combination with the above and is a continuation of the maths studied for GCSE but much more understanding and application is required so get used to pages of formulae

Answer 5

Hi, I've just finished A-levels in Maths and in Further Maths.

The best thing about A-level is there is some degree of flexibility when you do them. Each one (Maths and Further Maths) is made up of 6 modules, you can take more but only your best 6 will be chosen for marking towards your A-Level.

The compulsory ones for Edexcel are:

Maths: C1, C2, C3, C4, M1 (where C1-4 is core maths - basically it recently replaced P1-3 which was known as pure maths. This is all your algebra, calculus, series and graphs.)

M1 is the first Mechanics module. Mechanics is basically physics based and it gets you to use Pure maths to solve real world problems.

i then decided to take 2 more modules: M2 and S1.

M2 is the next step in mechanics and S1 is the first module of statistics. Statistics is to do with probability and analysis of data to find such things are correlations and patterns etc. (a lot of number crunching in your calculator I found, but a safe option).

To recap so far: Maths (Y12) - C1, C2, C3, C4, M1, M2, (S1) - notice I did one extra. This comes in useful next year.

For Further Maths I did the following: FP1, FP2 (these are compulsory and replaced the old P4 and P5. These are further pure modules which is basically hard albegra and a lot of hard integration.) Also, I did M3, M4 and M5 followed by D1. (the M3-5 are hard mechanics - the situations are more realistic - and D1 is the first Decision maths module which is very easy but boring. It is all about following set of instructions to solve problems using diagrams etc.)

To recap overall:

Maths: C1-4, M1-2
F. Maths: P4-5, M3-4, S1, D1

Spare: M5

Note: Although I did S1 in Y12, I could carry it forward to use in my Further Maths A-Level, but be warned there are only a few combinations you're allowed.

Finally, I chose the modules I did because I'm doing Aero. Engineering at Uni so it is essential that I do the mechanics modules to be even remotely prepared for the maths on my course. Similarly, the people doing sciences at university, especially physics, did the same combo. However, one guy is doing economics and statistics and so did S2 and S3 instead of the further mechanics and one guy doing maths at uni did FP3 or P6 instead of M5. You need to ask your teachers to see what they are able to teach you but if you want to get ahead of the game if doing a maths based subject at university, they like it when you have further maths on your side. WIth respect to your individual modules, it doesn't matter too much unless you need certain skills for your degree, but make sure you play to your strengths.

Sorry I went on a bit.

Answer 6

Just a quick response to the guy above who said 'pure math is the study of math for its own sake'. This is not strictly true. Without pure maths, the other branches of maths, such as mechanics and statistics, would not exist. Pure maths underlies mathematics and allows us to apply maths to real applications.

Answer 7

Pure math is the study of math for it's own sake, mostly theory etc. Applied math is putting math to work in real world situations, such as developing algorithims that computers use to solve problems. Mechanical math in the context I think you are using is also applied to real world situations, such as designing a water tank with the maximum surface area for a given volume for cooling purposes. Hope this helps.

Answer 8

The difference is how often you copulate with a partner, to which level of math you will move up to next!

Answer 9

Mechanics is what engineers and physicists study and use in their professions. It deals with quantities that are represented by vectors.

Answer 10

You can't compare a man to a woman. Each is different. But a man, and a woman, complement each other. In other words, one man and one woman (together) is one unit. They are a complementary pair.