All of
Kyle’s current tutoring subjects are listed at the left. You
can read more about
Kyle’s qualifications in specific subjects below.
Algebra 1
Algebra becomes second nature when you start doing upper-level mathematics. Every course I took used it in one place or another. The next levels of algebraic thinking- linear algebra and abstract algebra, were also mainstays in my studies. I believe that studying higher levels of the subjects gives you a real understanding of them that you cannot get from only studying the basics. I think it's sort of akin to a writer who gains command of grammar by doing higher level writing where she is not specifically focused on grammar--this makes her a great candidate to teach the basics.
Discrete Math
I completed Discrete Math and Graph Theory (which uses discrete math) in college with an A in both courses. Various parts of discrete math were used in all the other math courses I took as well. I used elements of discrete math and graph theory to invent a new online authentication method. The company I worked for (RSA security) has filed for a patent and listed me as the primary inventor.
General Music
I have played guitar for over 14 years, was two courses shy of a third major in music while in college, and I am currently working in a recording studio. I have been around music my whole life and it continues to be a daily activity. I think my approach to teaching music differs from the norm in that it is more conceptual and ear-based. I can teach how to read music, analyze chords, etc., but I'd rather teach students how to listen to it and think about it.
Guitar
I have been playing guitar for almost 14 years. I took 6 years of private lessons to start, and then expanded upon that on my own. I have played in many bands, done many solo performances, released two albums, and currently work in a recording studio where I am around guitars all day long!
Linear Algebra
I completed both linear algebra and advanced linear algebra in college. I also took a graduate-level course in group theory while I was abroad at the university of St. Andrews that frequently used linear algebra as well. Both during the courses and after they were completed, I worked in my college's math help center to assist other students in these subjects.
Logic
I was a double major in Mathematics and Philosophy--the two subjects that deal in logic the most. Courses I took in discrete mathematics, set theory, graph theory, modern philosophy, etc., used logic as a foundational element of the course, using logical symbols in proofs, argument reductions, etc. was a daily task.
Philosophy
I majored in Philosophy at Connecticut College and was awarded the Anita and Eugene TeHennepe Prize for enhancing Philosophical life on campus. I have studied many areas of both analytical and phenomenological philosophy, which specific interest in life and death, the self, aesthetics, and philosophy of law. Since my other major was mathematics, I also feel very comfortable with the principles of logic.
Probability
While majoring in math I covered probability in many of the courses I took, but it was most prominent in discrete mathematics. We calculated specific probabilities, created situations that would have certain probabilities, and did many formal proofs that used probability. I feel comfortable helping students work in any area of probability up to advanced college-level courses specifically focusing on probability- at that point you probably know more than me!