I suspect I've come to an understanding of mathematics unlike just about anyone you might have met. I could discuss it endlessly, and in as much depth as any audience would allow. The benefit of this to any math student would be that they will find my patience profuse, my eagerness to clarify its techniques tireless, my ingenuity unparalleled in creating the most illuminating metaphors for its intentions and its practices to those ends. I love mathematics, and while I don't imagine I'll make you love it too, I suspect that together we can make you see it to be as plain and obvious as tying shoelaces or as careless as chewing gum.

My education provided me an introduction to and required quite a command of fairly advanced mathematics. As such, I've developed a robust catalog of responses to "What on Earth does anybody use this for?," as well as a great sympathy for the frustrating, slow process that is comprehension. I imagine you'll find me the guy you just can't ask TOO MANY questions of, because I'll always have a response. I'll see it as just another road to show where we can go with your studies.

My priority in arranging tutoring sessions is the comfort and convenience of the student. I am available to provide at-home instruction, but if your time commitments require something a bit less traditional, like say, meeting at a coffeehouse or a library, I'm willing to be flexible.

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David's subjects

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Algebra 1

Majoring in the Engineering Sciences in college has reinforced my command of Algebra. After an extensive study of the methods of Calculus, Algebra becomes sort of like your ABCs of higher mathematics. The most elegant aspect of mathematics for me is its empirical structure: the more you continue using every piece of it, the deeper you direct your study of it.

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Algebra 2

I believe most students will find the second part of Algebra to be a welcome return to ideas introduced to them before Geometry. Most of my experience as a tutor has been centered on the topics encountered in this subject. From my education in Physics, I have come to believe that essentially all mathematical analysis will reduce to the algebraic expressions studied in this subject, and I believe a sturdy base of comprehension of it will be fundamental to all students who seek a university education...
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Calculus

Calculus is the natural language of the sciences--it's very foundations run parallel to most every significant discovery in Classical Physics. From my instruction in the construction of Hamiltonians to my studies in the methods of Tensor Analysis, I am well versed in the advanced techniques of analysis that students may encounter. I have also studied extensively in Real Analysis (or so-called Standard Analysis), affording me great familiarity with the theoretical rationale behind such topics as...
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Geometry

Geometry instruction for most students begins with strange objects like lines and triangles. Proofs often seem especially confusing. My expertise derives from my studies in the physical sciences, which require a frequent application of geometric analysis (Einstein famously needed only the Pythagorean Theorem to illustrate Special Relativity). I like to give students concrete examples of the utility of the techniques, show them why proving certain ideas is so important.

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Physics

My university education included the Hamiltonian formulation of Classical Mechanics, the Maxwell Field Equations description of Electromagnetism, and non-Relativistic Quantum Mechanics. However, most of the tutoring sought after by students in this subject will not require such involved mathematics. My approach is normally to engage students in more accessible examples of simpler models in Introductory Physics. The more popular AP subject examination attempts a broad rather than deep assessment...
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Prealgebra

Despite my education in Physics, my thorough command of Calculus, my studies in Elementary Number Theory, my studies in Linear Analysis, my studies in Applied Partial Differential Equations, I have never forgotten the inspiring suggestion of renowned physicist Richard Feynman, who stated that one who truly understands even something so arcane as Quantum Field Theory can explain it to a 4th grader. I have never lost touch with the opening concepts of mathematical analysis. I think the beauty of...
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Precalculus

Precalculus mathematics tend to confuse most folks because of the eclectic array of topics. I think the key to focusing a student's comprehension is to inspire them with examples, illustrations of the utility of the analytic tools and techniques that come from a mastery of the subject. My background in the Physical Sciences has equipped me with an effective and inexhaustible supply of these.

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Trigonometry

Trigonometry is, to me, the introduction of the potency of geometric analysis. At last, students will find those concepts from algebra and geometry unified into some type of analytic tool. From the mystifying exercises of Proving Trigonometric Identities to the seemingly odd habits of Modifying Periodic Functions, I expect students will sense an intimidating breed of techniques compose this subject. Here, my familiarity with methods like Fourier Analysis and its underlying theory (like Parseval's...
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GRE

Most of the tutoring I have provided for this subject has been focused on the quantitative reasoning portion of the test. I find most students require instruction for the verbal section like a an athlete needs conditioning exercises--mnemonics to aid their vocabulary skills, practice analogies, a refreshment of primer concepts in proper grammar. To that end, my role is usually that of a strict coach, monitoring them doing their mental sit-ups and push-ups. I find most students are weakest in their...
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ACT Math

Most of my experience as a tutor has been in topics related to those covered in this test. While I find the concepts are quite similar to those covered when I have provided tutoring for more advanced testing (like the Quantitative Reasoning portion of the GRE), I am very familiar with a softer approach necessary for students whom are new to the topics, for whom a greater supply of context will facilitate their comprehension and ensure their success.

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