I recently earned two B.S. degrees in Math and Physics, where I focused intently on detail, and deep understanding. I would study until I could prove my way through my books, and reconstruct results using my understanding and logic. Nothing gives me greater satisfaction than sharing this understanding with other people. I specialize in subjects where students are expected to prove results in math, and require a strong conceptual understanding, as well as technical. I've worked as a TA for... [more]
I have earned a dual Math/Physics B.S. degree with a 3.7 GPA. Teaching learners of all kinds, especially those that do not think themselves able, is my passion. The complete, overall picture I have of Math helps me to point students where they need to go, make connections to other things they have learned, and detect precisely misunderstandings they may have. Instilling confidence in learners is a great reward, and I am proud of my patience, and supportive affect.
Algebra 2 is one of the staples of mathematics. I have extensive experience working with a diverse body of students with varying needs, and levels of experience. Some students learn algebra 2 in high school, others are taking it in college. No matter the student's needs, I can customize my curriculum to assist.
I have taken the regular Calc I, II, III calculus sequence, as well as more advanced real analysis classes. I am familiar with calculus at every level: from the basic differentiation and integration, to real number theory, the logical details of Reimann integration, sequence and series theory, and beyond. I strive in my own work for deep conceptual understanding. As Richard Feynman said, if you can't explain it in plain English, you don't understand it. I can help impart the deep understanding that will allow you to do well on exams, not just homework.
I've taught algebra, pre-calculus, and calculus to many students over many hours, and I know exactly what foundations are critical for success in further math courses. There is no substitute for great preparation when a student enters a calculus course. I'll make sure that you or your student has learned, understood, and can make use of the necessary concepts.
I have a B.S. In Math, am starting a Math PhD next year. I have strong proof and logic skills. Specifically, I have earned a computer science minor, in the course of which I took an honors discrete math and theory of computation course. I earned a B+. I have familiarity with discrete structures, recursive definitions, and most importantly, the logic and proof techniques underlying discrete math, like proof by induction, propositional calculus, predicates, quantifiers, implications, etc. These techniques are used throughout math, and I have high proficiency, and deep conceptual understanding.
I have taken two linear algebra courses at the college level, and introductory course for physics/engineering/math majors at the 200 level, and an advanced, proof based course at the 500 level. I received A's in both classes. Linear algebra is the foundation of much of higher mathematics, like real analysis, so I get continued practice with this subject as I prepare for my math PhD.
All of proof-based mathematics lies atop of first order logic, that is, propositional logic with predicates, and quantifiers. This language has become natural to me in the course of earning two B.S. degrees in Math and Physics. I successfully completed the most difficult logic and discrete math class available at my university, and now tutor other pure math majors taking the same course. Logic courses are often taught in the context of discrete structures, the theory of computation, or algebra and number theory. My experience in these tangential subjects helps students to succeed in their particular classes.