Ifan W. GCSE Maths tutor, A Level Maths tutor, A Level Further Mathem...

Ifan W.

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Degree: Physics with Theoretical Physics (Masters) - Imperial College London University

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About me

About Me:

My name is Ifan, I'm originally from North Wales and I have recently graduated from Imperial College London with a 1st class honours masters degree in Physics with Theoretical Physics. I am dedicated to and have a true passion for the fields of science and mathematics; I am hoping to study for a PhD in physics next year. My tutoring style is enthusiastic, creative and proactive, and I'm certain that any student of mine will eventually share my enthusiasm! I truly believe with a strong desire to learn and improve oneself, alongside the right guidance, any student can achieve great results.

My Experience

I am a very patient and friendly tutor; personally, I love teaching and helping students exceed their expectations. I have two years of prior tutoring experience tutoring two different students of varying aptitude in A-Level mathematics and physics. I also currently tutor my younger cousin in GCSE mathematics weekly. I really enjoyed passing on my knowledge and getting to know my students, and also achieved great results

The Sessions

My tuition is tailored to suit the student, accounting for their long-term goals (their desired career/profession) and short-term goals (acing the exams!). I then break the work down into manageable steps and focus on the specific areas of the subject that the student requires extra help with, working alongside them until they are confident enough in their understanding to complete the task alone. With physics/maths, fundamental understanding is key to achieving great results in practice, so I ensure students have a thorough conceptual understanding of the topic before focussing on exam techniques. I believe this improves results, as opposed to simply memorising certain methodology. I also try to make learning fun and to have a bit of rapport with my students, as I believe this facilitates improved interaction and promotes a more relaxed and constructive learning environment. 

What next?

If you have any questions, send me a 'WebMail' or book a 'Meet the Tutor Session' (both accessible through this website). Remember to mention your subject and what you're struggling with.

Talk soon!

Subjects offered

SubjectLevelMy prices
Further Mathematics A Level £20 /hr
Maths A Level £20 /hr
Physics A Level £20 /hr
Maths GCSE £18 /hr
Physics GCSE £18 /hr

Qualifications

QualificationLevelGrade
MSci Physics with Theoretical PhysicsMasters Degree1st
ChemistryA-LevelA*
Further MathematicsA-LevelA*
MathematicsA-LevelA*
PhysicsA-LevelA
Disclosure and Barring Service

CRB/DBS Standard

No

CRB/DBS Enhanced

No

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Questions Ifan has answered

A note was played on a a keyboard. The frequency of the note was 440 Hz. (a) What does a frequency of 440 Hz mean? (b) The sound waves produced by the keyboard travel at a speed of 340 m/s. Calculate the wavelength of the note.

(a) A frequency of 440 Hz means that a single trough and peak of the sound wave oscillates 440 times per second or equally that 440 sound waves are produced by the keyboard per second (This is because the SI unit of a Hz is inverse seconds s^-1) (b) We first need the equation that relates the...

(a) A frequency of 440 Hz means that a single trough and peak of the sound wave oscillates 440 times per second or equally that 440 sound waves are produced by the keyboard per second (This is because the SI unit of a Hz is inverse seconds s^-1)

(b) We first need the equation that relates the two given quantities we have (wave velocity and frequency) to the third unknown, desired quantity (wavelength). This is equation is a simple one, v = f lambda. We want the quantity lambda, so we have to divide both sides of the equation by f to get v / f = lambda. We then plug in the numbers to find lambda, the wavelength, which is lambda = 340 m /s / 440 /s = 340/440 m (as the /s units cancel out leaving just length which is the correct unit for a wavelength!)

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2 years ago

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Find the complex number z such that 5iz+3z* +16 = 8i. Give your answer in the form a + bi, where a and b are real numbers.

Firstly, we note that z being a complex number can be expressed in the form z = a + bi. If we then take the complex conjugate of this expression, the real numbers remain the same (as they are their own c conjugates) but the c conjugate of i is -i, therefore z* = a - bi. We then insert these ex...

Firstly, we note that z being a complex number can be expressed in the form z = a + bi. If we then take the complex conjugate of this expression, the real numbers remain the same (as they are their own c conjugates) but the c conjugate of i is -i, therefore z* = a - bi. We then insert these expressions into the given equation, so

5 i (a + bi)  + 3 (a - bi) + 16 = 8 i

We then expand the brackets and rearrange, remebering that i2 = -1, such that

5 i a - 5 b + 3 a - 3 b i + 16 = 8i.

We can then split the equation up into real and complex parts (i.e the terms that are not functions of i and are functions of i respectively) and treat each equation seperately, so we have

-5 b + 3 a + 16 = 0,       5a - 3b - 8 = 0

This is a simple simultaneous equation to solve, and we this find that

16b = 104, 16a = 88

so z is thus given by z = 11/2 + 13/2 i 

QED

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2 years ago

864 views

How do I differentiate y = ln(sin(3x))?

So we initially have the relationship y = ln(sin(3x)). As the left hand side is a function of the variable y and the right hand side is a function of the variable x i.e they are implicitly related, we need to use implicit differentiation. This means we differentiate each side of the equation ...

So we initially have the relationship y = ln(sin(3x)). As the left hand side is a function of the variable y and the right hand side is a function of the variable x i.e they are implicitly related, we need to use implicit differentiation. This means we differentiate each side of the equation seperately with respect to the functional variable, in this case x. Now differentiate the LHS, which is simple enough

d/dx(y) = dy/dx = f'(x)

To differentiate the RHS, we note that the differential of a logarithm ln(g(x)) is given by g'(x) / g(x), a relationship that can be found easily by integrating. So in this example we have that g(x) = sin(3x), therefore we need to use the chain rule to differentiate it. The differential of sin(3x) is thus cos(3x) multiplied by the differential of 3x which is 3, therefore g'(x) = 3cos(3x)  and so the differential of the RHS is 3cos(3x)/sin(3x) = 3cot(3x)

We thus have dy/dx = 3cot(3x)

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2 years ago

840 views
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