Ithaca College (Mathematics,Physics)
Syracuse University (Master's)
Syracuse University (Graduate Coursework)
Hello, my name is Caleb and I'm a PhD student at Syracuse University as well as a graduate instructor. I am also a graduate of Mathematics and Physics at Ithaca College. There I also had the unique opportunity of taking many classes at Cornell University. I then spent the next year working at SUNY Adirondack as a Mathematics Adjunct before starting my PhD. As for my teaching experience, I was a tutor and T.A. for four years at Ithaca College for Mathematics, Physics, Statistics, and German as well as a private tutor at Cornell University. I have a broad range of Mathematical knowledge and try to integrate physical visualization and computer visuals when applicable into the learning process. I believe everyone is not only capable of learning Mathematics but getting some joy out of doing it as well. I have teaching experience in not only High School Math, College Mathematics for both majors and non major, but also Graduate work. I also have a solid background in the SATs and AP exams with near perfect to perfect scores on 8 of them. I also have a working knowledge of Spanish and German for those students with language difficulties.
Hello, my name is Caleb and I'm a PhD student at Syracuse University as well as a graduate instructor. I am also a graduate of Mathematics and Physics at Ithaca College. There I also had the unique opportunity of taking many classes at Cornell University. I then spent the next year working at SUNY Adirondack as a Mathematics Adjunct before
Caleb helped me prepare for my Trig exam and was able to explain things in a way that really made sense. He was so patient and even brought practice exams for us to work on!
Caleb is very patient with my daughter as she is learning algebra 2/trig. He takes the time to break down each example and provides her notes to bring home for review and continues to offer her help when they are not in a session. Her grades have improved and she feels comfortable with the math functions they review. He is not only a good tutor but extremely flexible with the location and time for meeting with her. We are very luck to have him.
Thanks Caleb!!! My student went from a 71 to 87 on her Math Test in 2 weeks!!! Amazing and are so patient with her! Thank You, Thank You, Thank You!
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I have extensive knowledge in the standard Undergraduate Calculus courses: Calculus I, Calculus II, Calculus III, and Calculus IV. This includes their applications to topic areas in Physics (as I am a Physics major as well). I have tutored well over 20 people in the various levels of Calculus with great success. Moreover, I am experienced in the use of Calculus of Variations. I have also studied the generalization of Calculus to n-variables (ie manifolds) and how they operate on them. I also have knowledge of Analysis and can therefore instruct in how Calculus can be built from the ground up and how it works at its core.
I took several courses covering all the core topics to Differential Equations while earning my degree--especially, while earning my Physics degree. I have employed advanced partial differential equations in several Physics research projects as well as a summer internship researching the topology of bread foams. Moreover, I have had the opportunity to help several college students through their difficulty with standard introductory material.
I am a current Mathematics major finishing my degree with the only remaining course being a thesis course. I have a deep understanding of Discrete Mathematics topics including Induction, Proof Methodology, Summations, Cardinality, Permutations, Combinations, Binomial Theorem, Euclidean Algorithm, Game Theory (including Economic applications), Modular Arithmetic, Graphs, Sequences, Series, Numbering Systems (including Natural, Integers, Rational, Irrational, Real, Complex, Quaternion, Conway, and p-adic numbers), etc
Specifically, I have tutored in college Linear Algebra in the material which would be covered in a semester course, including the topics below. I have taken the basic Linear Algebra courses, as well as the honors version, and have had to apply these concepts to other fields such as Lie Algebras. Here are specific areas in Linear Algebra in which I am knowledgeable: Matrices, Vectors, Linear Combinations, Gaussian Elimination, Span, Matrix Operations, Invertibility, Partitioned/Block Matrices, LU Decomposition, Linear Transformations, Determinants, Subspaces, Basis, Dimensions, Eigenvalues, Eigenvectors, Characteristic Polynomials, Diagonalization, Orthogonality, Vector Spaces, Least Square Methods, as well as Advanced application to Matrix Groups such as Lie Groups/Lie Algebras.
While obtaining my Mathematics degree, I have taken several courses using advanced predicate logic. Moreover, as a mathematician, I continuously work with rigorous logic in my Hopf algebra and permutation prime research. It was my job as an academic tutor to help students work through mathematical logic difficulties. As for verbal logic, I was trained through the National Forensics League in many verbal logical strategies and fallacies. This culminated in a national best speaker award for the league.
I have been using Mathematica for several years now. I have used it for two research positions, one in Statistical Modeling and another in modeling the Topological features of Bread Foams. I also have an ongoing project to help students learn Physics using Mathematica's Manipulate function. I have used it for a variety of other purposes including Image Processing, Physics application, investigating the Riemann Zeta function, Fractals, solving Differential Equations, analyzing texts, Stenography, as well as a variety of other applications.
I am able to help with nervous issues involving speaking in front of a crowd. Moreover, I am able to help with the planning, organization, diction, syntax, and presentation of a prepared speech, both in a casual and formal context. I have had various experiences presenting at conferences and poster sessions as well as leading class lectures and tutoring both individually and in groups. Moreover, I have done collegiate debate for 3 years and was the National Novice Best Speaker my Freshman year for LFA-LD Debate.
Originally a performance major in college, I have been playing for 15 years participating in various chamber groups, orchestras, and solo performances. I have tutored in music theory and have the opportunity to conduct on several occasions.