Further Mathematics: Post your doubts here!

[akshay 999]

all of them coz i want to have an idea of how should i attempt to the questions in order to score full marks under an exam conditions. And if possible wiz some additional explanations or tips will help me a lot and thks for the help

 

[Ashjay]

Hey Guys,
I have recently joined A levels and i want to take Further Maths, so can you fellas please tell me which textbooks i should buy?

 

[AnujaK]

Heeyy everyone i'm planning to take further math this year but school isn't offering it so is it easy enough to study on my own?

 

[Abdul96]

Hey,
i've just completed my O'levels n just feeling confused whether to opt for Further Mathematics in A-Levels or not....
Ur advice would be highly appreciated....

 

[Thought blocker]

Hey,
i've just completed my O'levels n just feeling confused whether to opt for Further Mathematics in A-Levels or not....
Ur advice would be highly appreciated....

Yes, if you dont feel it harder, and if Math is your passion, do take it.

 

[Daniyal Shahid]

Asslmau Alaikum, can anyone recommend good books for Further Maths?

 

[F.Z.M. 7]

So how tough is F. Maths?

 

[Thought blocker]

So how tough is F. Maths?

Nothing is tough until you put your heart into it and your work over it gives you a satisfactory result.
All the best.

 

[AnujaK]

Heeyy everyone! I've started a site that'll give you SOLVED past papers! Really helpful! Do check it out Also has some worksheets and revision notes!
https://sites.google.com/site/fromatoscom/

 

[F.Z.M. 7]

Nothing is tough until you put your heart into it and your work over it gives you a satisfactory result.
All the best.

yeah but I was wondering how much as compared to others

 

[Thought blocker]

yeah but I was wondering how much as compared to others

Easy.

 

[totaldivine]

AOA guys i need ur help on this question "W05_pq_1_q7" second part only thnx lots

 

[prajwol khatri]

Hey Guys,
I have recently joined A levels and i want to take Further Maths, so can you fellas please tell me which textbooks i should buy?

you better to buy oxford further pure mathematics.. there you will find easy and for help you can look other books from aqa in pdf no need to bye them coz it costs high..

 

[Logitech]

Can someone give me a detailed syllabus for 90709 P3 and P5. I have had a look at the posted CIE syllabus, but im not sure wether it is in detail or its a general overview. So if someone could help me out that would be great.

 

[rexsun]

Hi, everybody. I have been studying further mathematics since this year and have met a lot of trouble...
Please have a look at the following question:
Q1:
Find the equation of the tangent to the curve r=e^θ, which is
a) parallel to the initial line
b) perpendicular to the initial line.

Q2: Give in polar coordinates the points on the curve r = a cos(2θ) where the tangents are
a) parallel to the initial line
b) perpendicular to the initial line

Thanks a lot!

 

[Nazirah Ahmad]

Pleaseee can anyone guide me on Question 2 May/June 08 Paper 1. I just started FM and still adjusting. All help is greatly appreciated.

 

[Thought blocker]

Pleaseee can anyone guide me on Question 2 May/June 08 Paper 1. I just started FM and still adjusting. All help is greatly appreciated.

Check the ms, it takes hell time to load.
u₁+ u₂+ u₃+ ...= ln[{(1 + x²)/(1+ x)}{1 +x³)/(1 + x²)}{1 + x⁴)/(1 + x³)}.....= ln{(1 + xⁿ⁺¹)/(1 + x}.
(i) -1 < x < 1: As n→∞, S( n )→ln{1/(1 + x)} = -ln(1 + x), ∵xⁿ⁺¹→0.
(ii) x = 1: S( n )→ln{2/(1 + 1)} = ln1 = 0.

 

[Thought blocker]

Dark Destination do look into here if free.
I have started my preparations. Completed two chapters. Feeling great. Its really subtle for me right now, its just starting, IDK what will happen in future.

 

[Thought blocker]

Hi, everybody. I have been studying further mathematics since this year and have met a lot of trouble...
Please have a look at the following question:
Q1:
Find the equation of the tangent to the curve r=e^θ, which is
a) parallel to the initial line
b) perpendicular to the initial line.

Q2: Give in polar coordinates the points on the curve r = a cos(2θ) where the tangents are
a) parallel to the initial line
b) perpendicular to the initial line

Thanks a lot!

After focusing on the specif topic. -Phew- Dont ask me much on this. :/ I will come after I finish my syllabus. :/
Q1. x = rcosθ = e^θcosθ, dx/dθ = e^θcosθ - e^θsinθ,
y = rsinθ = e^θsinθ, dy/dθ = e^θcosθ +e^θsinθ,
dy/dx = (dy/dθ)/(dx/dθ) = (cosθ +sinθ)/(cosθ - sinθ).
(a) For tangent || initial line, dy/dx = 0→θ = 3π/4.
Tangent is y = e^(3π/4)/√2.
(b) For tangent ⊥ initial line, dy/dx = ∞→θ = π/4
Tangent is x = -e^(π/4)/√2.

Q2. x = rcosθ = acos2θcosθ, dx/dθ = -acos2θsinθ -2asin2θcosθ,
y = rsinθ = acos2θsinθ, dy/dθ = acos2θcosθ - 2asin2θsinθ,
dy/dx = (cos2θcosθ - 2sin2θsinθ)/(-cos2θsinθ -2sin2θcosθ).
dy/dx = 0 when tan2θtanθ = ½. Solving, u = tan⁻¹(1/5).
(a) ||tangent line is y = a√(5/6) {after a bit of work}.
(b) ⊥tangent line is x = -2a/(3√6) {after a bit of work}.

 

[Dark Destination]

Dark Destination do look into here if free.
I have started my preparations. Completed two chapters. Feeling great. Its really subtle for me right now, its just starting, IDK what will happen in future.

Wow. You're motivated.