Greetings! I'm Alexander, a Cambridge alumnus with deep-seated expertise in various topics, from mathematical logic and numerical methods to stochastic calculus and finance. With over a decade in the educational field, I've had the privilege of teaching students from distinguished universities such as MIT, UCL, Stanford, Oxford, and UCLA, amongst others. My teaching methodology is rooted in engagement and interactivity. The lessons I design are not only informative but also highly engaging, ensuring that students are not just passive listeners but active participants. I utilize the Miro board, a versatile collaborative platform that allows for real-time interaction and feedback. My approach is problem-based, which means I present problems adjusted to a student's level of expertise, challenging them to think critically and apply their knowledge. What sets my method apart is the real-time correction of student mistakes, which ensures instant feedback and accelerated learning. To maximize the interactivity and effectiveness of our sessions, students are expected to have a device similar to an iPad and a stylus like the Apple Pencil (though not necessarily Apple-branded). This setup allows students to engage with the material fully and benefit from the interactive elements of the lessons. My certification and continuous professional development ensure that I stay abreast of the latest pedagogical techniques, ensuring my students receive a world-class education. Some of my students have further achieved admission into the prestigious Oxbridge universities. My professional journey includes an enriching experience as a Marie-Curie researcher in Sweden, underpinning my practical knowledge. Moreover, I hold a certification from Cambridge University and have regularly participated in Oxford's Summer Machine Learning schools. I eagerly anticipate the opportunity to share my knowledge and experience with you.