Christian BrownLondon, UKMath and Science Tutor
I have a love and passion for every branch of mathematics and have studied extensively for over 12 years both in and out of school. I have also been teaching and tutoring everything from pre-algebra to advanced calculus for over 8 years. I have a Bachelor's degree in mathematics, specifically in scientific modelling using nonlinear dynamical systems.
In addition to having cultivated a deep knowledge of mainstream mathematics, I have also explored many mathematical avenues that lie off the beaten path. For instance, I am currently writing a textbook about alternative (algebraic) foundations for number theory, geometry and calculus. Fractal geometry is another fantastic playground of alternative mathematics that I would love to teach!
My favorite subjects to teach are algebra (elementary/linear/abstract), geometry (elementary/analytic/differential), set theory (basic to advanced, such as in real/complex analysis or point-set topology), graph theory (especially network theory), probability, and all flavors of calculus. I love number theory, as well, but have not yet had the chance to teach it directly.
In addition to the pure maths, I have taught many applications such as physics (algebra-based up through general relativity and quantum field theory), statistics, network analysis, and nonlinear dynamics (including catastrophe theory and bifurcation analysis).
Finally, I have experience teaching people how to use mathematical computing software such as Wolfram Mathematica and the Desmos Online Graphing Calculator, as well as more basic software like Java and Excel, for problem solving, data analysis, and data representation.