Fatiha

Rate $75
Response 1h

$75/h

Student at Imperial College London studying Physics. - Maths tutor with Fatiha

Math
Physics

Lesson location

- online

About Fatiha

A very friendly and curious individual with a passion for working with people. I love solving challenging problems and I am a very passionate learner.
I like to make my lessons fun and engaging as well as effective and efficient.

I have achieved A*A*A* in A-Level Maths, Further Maths and Physics from Brampton Manor Academy.

Physics intrigues me as it explores the fundamental nature of the universe yet still includes some mysteries. Reading 'Why does E=mc^2?' by Cox and Forshaw, I discovered spacetime. I was intrigued by Einstein's work in combining the time dimension with the 3 spatial dimensions, showing that time is not absolute as previously thought, but relative: time flows slower when approaching the speed of light or near a massive body. I was surprised to learn that gravitational waves - ripples in the fabric of spacetime - were first predicted in 1916 on the basis of Einstein's General Relativity but were first detected a century later by LIGO. Curious about experimental evidence, I watched the 2018 Reines Lecture 'Exploring the Universe with Gravitational Waves'. I was fascinated by interferometers at LIGO that use phase difference of laser beams to detect these waves. I am very hopeful about the space-based gravitational waves detector LISA; using the same interferometry techniques, it will be able to measure gravitational waves much more sensitively with arms 2.5 million km long compared to the 4 km long arms of LIGO. LISA will have a triangular shape instead of the L-shape of LIGO, improving its precision for locating the wave's origin. As Einstein's general relativity breaks down for extreme cases such as black holes and at the time of the big bang, I believe we need to learn more about black holes to understand the very early universe. To learn about astrophysics and cosmology, I completed the Australian National University course 'Greatest Unsolved Mysteries of the Universe'. I was interested in the mathematical models used to calculate the matter density of the universe and its changes over time to predict its future and fate: parameters include the present average density of the universe and the redshift. I learnt that the density parameter can be calculated from the ratio of the observed to the critical density which allows us to predict if the universe will continue expanding and at what rate. Inspired by the course, I programmed an n-body simulation on visual Python which simulates matter at the early universe. This program shows how matter composition in the universe changes over time, starting from an equally spaced particle distribution and simulating the influence of gravity. I have used small time steps to make the approximations valid for calculating the new velocity and position. This increases the complexity of the program in N^2 which makes the algorithm limited to smaller N. I found that the runtime can be improved by implementing a tree algorithm which I would like to work on. Participating in an Oxford Physics Masterclasses taught me about quantum computers, which are governed by the laws of quantum mechanics. I was surprised to learn that superposition allows quantum computers to speed up exponentially by achieving quantum parallelism. Fascinated by the behaviour exhibited by subatomic particles, I conducted research on quantum entanglement, where a linked wavefunction of two particles can communicate instantly, violating the cosmic speed limit. This contradicts relativity, in which moving faster than light is impossible, and leads to time paradoxes. Reading Barenco's 'Quantum Physics and Computers', I was captivated by quantum networking using entangled photons, generated through spontaneous parametric down-conversion, which converts a higher energy photon to two lower energy entangled photons. This is secure as the entangled photonic qubits transfer data instantaneously, making interception difficult. As quantum networking is not yet fully implemented, partly due to the challenge of decoherence, I am curious about how it will present in future. I am currently completing the Silver Duke of Edinburgh award, as part of which I am volunteering to analyse data on the platform Zooniverse. I am excited to study Physics to investigate the truths of nature through mathematical analysis and problem-solving.

University :
- Imperial College London - Physics [year 1]

School :
Brampton Manor Academy
A Levels
- Maths [A*]
- Further Maths [A*]
- Physics [A*]
GCSEs
- Maths [9]
- Computer Science [9]
- Design and Technology [9]
- Physics [8]
- Chemistry [8]
- Biology [8]
- Bengali [9]
- Italian [9]
- Geography [8]
- English Language [6]
- English Literature [7]

Other Qualifications :
Physics Aptitude Test (PAT) score 63/100

Student at Imperial College London studying Physics. - Maths tutor with Fatiha

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About Fatiha

About the lesson

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online

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Student at Imperial College London studying Physics. - Maths tutor with Fatiha

Lesson location

About Fatiha

About the lesson

Rates

Rate

Pack rates

online

Other tutors in Math

Alireza

Hamid

Ali

Nihit

Dhirenkumar

Alireza

Gavin

Mr Ali

Qasim

BARNABAS

Jaspreet

Moe

Parham

Divya

Avneet

Jalal

Alaa

Sam

Osadebamwen

Achint

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