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I'm a math PhD student at Brown. Previously, I graduated from Caltech with a BS in math in 2013. Before starting grad school, I took a year off to continue math research. During that year off I tutored for my only source of income. I tutored dozens of students in all levels of math and physics, as well as some chemistry and other sciences. I was also an undergraduate tutor at Caltech, tutoring things ranging from calculus, to graduate level math and physics. I have hundreds of hours of experience in one-on-one tutoring.
From October 2013 to May 2014 I also worked at College Launch, a company in Old Town Pasadena that provides academic and college counseling services for high school students. I was an academic coach, helping kids one on one on anything from standardized test prep to specific subject help in math and science AP classes to general study skills.
I like explaining to people why things are the way they are, not just how to do a problem. I focus on explaining intuition first and direct practice exercises toward building intuition and general understanding so that students can then successfully understand problems when they're on their own. I also like to explain how different topics that the student has learned are interrelated instead of teaching the material in a vacuum. I find this makes it much easier for students to retain the material in the long run.
I took a term of differential equations at Caltech. This included ODEs and PDEs, difference equations, dynamical systems, and both qualitative and quantitative analysis of population dynamics and physical systems dynamics. I also tutored for the advanced undergraduate/intro graduate level PDEs class at Caltech. Can submit transcript if necessary.
I took 2 terms of the graduate level combinatorics and discrete math at Caltech. Topics covered include graph theory, extremal problems, flows in networks, counting, recursions, generating functions, partitions, posets, latin squares, finite geometry, counting using generating functions, Mobius inversion theorem, Polya enumeration, and Young tableux. Can submit transcript if necessary.
I took 2 terms of a Caltech class on electricity and magnetism, which included several weeks on circuits, including basic DC circuits, Kerchoffs voltage and current laws, Ohms law, power drop, AC circuits, impedance, inductors, capacitors, dynamics of circuits, and Thevenin and Norton equivalents. Furthermore, I have tutored people in the introduction to electrical engineering class at Uconn.
I have been playing guitar for 9 years. I have played several styles of music-- I started off playing rock music, moving to metal and post hardcore. I played for my high school jazz band, and have recently started learning classical guitar. I have played with several music ensembles, including being a song writer and guitarist for a band that played around 70 shows of all original songs.
I took a term of basic linear algebra covering the basic things such as vector spaces, subspaces, quotient spaces, orthogonal complements, linear transformations, matrices, determinant, trace, change of basis, Gramm-Schmidt orthogonalization, vector spaces over more general fields, inner products, etc. I have taken 2 years of abstract algebra, which is a generalization of linear algebra, and am going on to get my PhD in algebraic geometry, a heavily linear algebra-based field. Furthermore, I have used linear algebra in quantum mechanics, real analysis (infinite dimensional Hilbert spaces and such), probability and statistics.
I just graduated from Caltech with a BS with Honors in Math. I took one term of logic at Caltech covering basic logic, propositional calculus, first order logic, the syntax and semantics of formal languages, formal proofs, Godels incompleteness, and computatbility theory. I have also tutored other students taking the same class. I can submit my transcript if necessary.
I've taken almost the equivalent of a masters degree in physics during my undergrad. This included a term of classical mechanics, 2 terms of electricity and magnetism, a term of waves, 2 terms of statistical mechanics, 4 terms of quantum mechanics, 2 terms of quantum field theory, and 2 terms of general relativity as well as several mathematical physics classes. I have also done mathematical physics research.
Knows His Statistics — Knows his stuff! A very good tutor for statistics explains well and makes sure you understand everything. Mr. Dori B. is very nice too. ...
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