Currently unavailable: for regular students
Degree: Natural Sciences Tripos (Masters) - Cambridge University
Hey, I'm a first year undergraduate at Cambridge studying Natural Science, and hope to specialise in theoretical physics. This year I study physics, chemistry, geology and mathematics, and I would be happy to tutor in any of these subjects.
I enjoy running, hillwallking and basking in my lack of musical talent!
I hope my tutoring sessions will be useful and fun! Having enjoyed science so much at school i hope I can pass off my enthusiasm and understanding :)
The 55 minute supervisions will be catered entirely for for the students needs: whether that carefully establishing a firm grasp of the key concepts, or working thorugh the rigours of problems that might be set in exams.
I enjoy teaching and have been involved in outreach events for my university, mainly demonstrating physics to lower secondary age pupils. During 6th form I volunteered in GCSE maths classes, and gained experienceThis summer I am working as an activity leader at a language school in Edinburgh.
I am applying to Oxbridge... can you help?:
I am not an expert in the field, despite passing through the system myself, I am fairly certain there is no secret to preperation. However as a passion for your chosen subject and ability to learm well in an academic environemnt, I would be happy to suggest books that you might find enjoyable, and try to provide a flavour of what the interview might be like.
|Further Mathematics||A Level||£20 /hr|
|Physics||A Level||£20 /hr|
|Further Mathematics||GCSE||£18 /hr|
|Further Mathematics||IB||£20 /hr|
|-Personal Statements-||Mentoring||£20 /hr|
|Physics Higher Level||Baccalaureate||7|
|Chemistry Higher Level||Baccalaureate||7|
|Mathematics Higher Level||Baccalaureate||6|
|English Standard Level||Baccalaureate||6|
|German Standard Level||Baccalaureate||6|
|Geography Standard Level||Baccalaureate||7|
|Before 12pm||12pm - 5pm||After 5pm|
Please get in touch for more detailed availability
Holly (Student) August 12 2016
Holly (Student) August 16 2016
Betina (Student) June 26 2016
This is a common IB question- fairly tricky the first time you com across it!
As with much of complex number the trick here is to change forms to polar representation.
If you think of an argand diagram the number i will be represented as a point straight up on the imaginary axis a distance 2 from the origin.
It can therefore be represented as 2i = 2*e^(iπ/2)
From here it's easy! Just apply the same indices rules that you have grown so familiar with.
2 goes to the square root of 2, e^(iπ/2) goes to e^(iπ/4).
so we have the expression (2i)^(1/2) = (2)^(1/2)*(iπ/4)
And now convert back to standard form!
We know the magnitude is square root 2, and the arguement is π/4. Imagined on the argand diagram this is a line slanting at 45 degrees to the horizontal.
We can use the identity e^(iθ) =cos(θ) + i*sin(θ)
Thankfully the square roots of 2 cancel (Careful! they will not allways do this!) Therefore we reach the answer:
(2i)^(1/2) = 1 + i
which is satisfyingly elegantsee more