Maximilian

I am currently a PhD research student in the field of cosmology at University College London. I offer tutoring for maths and the natural sciences up to A-levels and German, Spanish and Catalan classes at any level.

The natural sciences are my great passion. This is why I want to help other people master them and it is the reason why I am a scientist. Therefore, when I teach science or mathematics, I always want to help students understand the underlying principles, while also fostering their own long-term study habits, so that I may become superfluous as a tutor.

To tell a bit more about myself, I was born in Germany and moved to Spain at the age of three with my family. Because of this, I am fluent in German, Spanish, Catalan and English. I have also amassed hundreds of hours of language teaching experience which involved anything from beginner courses to GCSE or A-levels tutoring. Moreover, I can give English classes to second language speakers (Germans, Spanish or Catalans) in London who want to do a formal course while living in this wonderful city. As with natural sciences, I try to teach languages with great passion and I like to have structured classes while keeping the relationship with my students casual.

Tutoring Experience

I have acquired over 1,000 hours of collective tutoring experience in all of these subjects over the course of my undergraduate degree in Physics at Imperial College London and the first few years of my PhD. This includes tutoring and teaching of maths, all sciences, English, Spanish and German at all levels (primary, GCSE, A-levels and beyond).

In addition, I have given tutorials at undergraduate level at University College London as a part of some mathematics and physics courses within the physics degree.

If you are interested in university level tutoring, I have experience with the following topics:

• Mathematics: linear algebra, real analysis, complex analysis, calculus, calculus of variations, differential equations, statistics, information theory, set theory, group theory, representation theory and differential geometry

• Undergraduate Physics: Newtonian mechanics, wave mechanics, Fourier analysis, special relativity, quantum mechanics, foundations of quantum mechanics, Lagrangian and Hamiltonian mechanics, special relativity, solid state physics, atomic physics, nuclear physics, particle physics, optics, electromagnetism, thermodynamics, statistical mechanics, fluid dynamics, laboratory skills, scientific data analysis and Python coding

• More advanced topics: quantum field theory, the Standard Model, general relativity, cosmology

Tutoring Approach

Generally, the approach I take when tutoring maths, sciences and languages is to organise and make clear what has to be studied. Then, I explain the topics as clearly as possible without having any issues with repeating it as many times as necessary. Also, I put great focus on practice.

In addition, my aim is to provide students with first-hand insights into the scientific world, so that they may better understand the context of the subjects that they are studying and/or to help them enter this world if they are interested in it. I think nothing motivates a student better to study than getting a clear oversight of the field as well as knowing the exciting applications of what they are studying.

For language courses, I use my own curriculum which I form from many sources and constantly adapt from my experiences with students. I often start with teaching phonetics, since it greatly improves speaking, listening and writing skills from the beginning. I like to teach a bit of vocabulary and grammar every lesson while rounding it off with some activities. These include standard exercises, reading texts, dialogues and small games. I also encourage and recommend independent studying by recommending films, songs or challenges.