Noam T. A Level Maths tutor, GCSE Maths tutor, A Level Physics tutor,...

Noam T.

£18 - £20 /hr

Currently unavailable: for regular students

Studying: Mathematics with Mathematical Physics (Bachelors) - University College London University

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About me

About Myself: I am an undergraduate student at UCL studying Mathematics with Mathematical Physics. Hoping to go into research after my degree, I have a true passion for my subjects and my aim is to pass on that passion to students in a friendly, patient manner. I also have a love for playing piano and practicing martial arts, both of which I have been doing regularly for a couple of years.  My Approach To Teaching Maths: Mathematics nowadays may seem to some students like 'that subject for which they have to memorize all these formulas for'. Speaking from personal experience, I can say that mathematics can and should be taught as a subject that relies almost entirely on understanding and seldomly on memorization. The reasons for this are numerous, but here are two of the reasons I find most important: Firsly, mathematics truly can be a beautiful subject which not only has many, many practical applications in other areas, but also as a standalone subject produces many beautiful results.  Secondly, the frightening amount of 'rules' that one would have to memorize to do well in school can reduce to only a handful of basic results, from which all else can be derived, by having a good understanding of the basic concepts. I am therefore very keen to be able to pass on some of my knowledge to both give students a better understanding of the mathematics they use and naturally, make their life easier by allowing them to exchange memorization by comprehension. I hope that I have convinced you that this way of teaching is the one which will prove to be most fruitful and I look forward to meeting you!About Myself: I am an undergraduate student at UCL studying Mathematics with Mathematical Physics. Hoping to go into research after my degree, I have a true passion for my subjects and my aim is to pass on that passion to students in a friendly, patient manner. I also have a love for playing piano and practicing martial arts, both of which I have been doing regularly for a couple of years.  My Approach To Teaching Maths: Mathematics nowadays may seem to some students like 'that subject for which they have to memorize all these formulas for'. Speaking from personal experience, I can say that mathematics can and should be taught as a subject that relies almost entirely on understanding and seldomly on memorization. The reasons for this are numerous, but here are two of the reasons I find most important: Firsly, mathematics truly can be a beautiful subject which not only has many, many practical applications in other areas, but also as a standalone subject produces many beautiful results.  Secondly, the frightening amount of 'rules' that one would have to memorize to do well in school can reduce to only a handful of basic results, from which all else can be derived, by having a good understanding of the basic concepts. I am therefore very keen to be able to pass on some of my knowledge to both give students a better understanding of the mathematics they use and naturally, make their life easier by allowing them to exchange memorization by comprehension. I hope that I have convinced you that this way of teaching is the one which will prove to be most fruitful and I look forward to meeting you!

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Qualifications

SubjectQualificationGrade
MathsA-level (A2)A*
Further MathsA-level (A2)A
PhysicsA-level (A2)A*
ChemistryA-level (A2)B

General Availability

Before 12pm12pm - 5pmAfter 5pm
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sundays

Subjects offered

SubjectQualificationPrices
MathsA Level£20 /hr
PhysicsA Level£20 /hr
MathsGCSE£18 /hr
PhysicsGCSE£18 /hr

Questions Noam has answered

If n is an integer such that n>1 and f(x)=(sin(n*x))^n, what is f'(x)?

Let us denote sin(nx) = u(x), where u is a function of x. The equation is now therefore f(x) =(u(x))^n.

For simplicity, we will write that as f(x) = u^n

By the chain rule, we know that f'(x) = df/dx = (df/du)*(du/dx).

Firstly computing df/du, we find df/du = n*u^(n-1)

Now we need to find du/dx. Since u = sin(nx) , du/dx = ncos(nx).

Therefore, our answer is f'(x) = (df/du)*(du/dx) = n*u^(n-1)*ncos(nx), 

subbing in u = sin(nx) yields the final answer:

f'(x) = n(sin(nx))^(n-1)*ncos(nx)

Let us denote sin(nx) = u(x), where u is a function of x. The equation is now therefore f(x) =(u(x))^n.

For simplicity, we will write that as f(x) = u^n

By the chain rule, we know that f'(x) = df/dx = (df/du)*(du/dx).

Firstly computing df/du, we find df/du = n*u^(n-1)

Now we need to find du/dx. Since u = sin(nx) , du/dx = ncos(nx).

Therefore, our answer is f'(x) = (df/du)*(du/dx) = n*u^(n-1)*ncos(nx), 

subbing in u = sin(nx) yields the final answer:

f'(x) = n(sin(nx))^(n-1)*ncos(nx)

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12 months ago

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