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Jackson is a talented mathematician with an enthusiasm for teaching. He attended Bard College at Simon's Rock at age 16 on a full academic scholarship where he received a bachelor's degree in physics and mathematics by age 20. By age 17 he was doing graduate level research in mathematics, particularly in Galois Theory, a branch of Abstract Algebra. Additionally he was doing graduate level research in numerical and experimental fluid dynamics. The results of his research in fluid dynamics were published in The Journal of Geophysics.
Mr. J. worked in the math lab at Simon's Rock tutoring students in subjects ranging from basic math to advanced undergraduate courses in mathematics. His team placed 13th in the country on the Putnam Intercollegiate Mathematics examination. He was awarded the Division of Mathematics and Natural Sciences award each year he was eligible.
After graduation, Mr. J. began working at the Bard High School Early College in New York City where he was hired to start the math and science tutoring program and develop a math enrichment program for gifted students. After structuring and starting the program Mr. J. moved on from this job to prepare for graduate school.
Shortly after leaving the Bard High School early college, he began a Master's program at Columbia University in the Philosophical Foundations of Physics. He took graduate level physics courses and complimentary courses in philosophy, as well as courses in the foundations of mathematics. His thesis was on the role of probability in the foundations of Quantum Mechanics. This thesis is currently in preparation for publication.
After Columbia, Jackson worked for a company called Millitech where he worked on the design and optimization of satellite communication systems and radar for the Department of Defense. Eventually he left this job to pursue founding his own company doing numerical simulation for the solution of complex engineering problems.
At this time, he is looking for students to tutor in college level mathematics to explore his interest in teaching. He is continuing his software development and beginning to commercialize his technologies.
Please contact Mr. J. if you have any further questions.
I completed course devoted exclusively to ordinary differential equations as an undergraduate. Since then, I have studied differential equations, both partial and ordinary in the contexts of physics, pure math, and applied mathematics.
Differential equations are crucial to a deeper understanding of the calculus and its application in almost all scientific fields.
Currently, I am developing a computer program for the solution of partial differential equations across multiple scientific disciplines. As an undergraduate, I developed software using Euler's method to solve ordinary differential equations.
I am enthusiastic about teaching this subject; I particularly enjoy tutoring college level mathematics.
I began my study of the rudiments of Linear Algebra in high school in an advanced algebra class. I continued this study at a collegiate level my freshman year of college, taking a rigorous introductory course in Linear Algebra. Over time, my understanding of linear algebra deepened as I saw its applications in diverse areas of physics and mathematics. From Cramer's Rule to Graham-Schmidt orthogonalization to continuous eigensystems in Banach spaces I have seen a wonderful array of applications and theory related to the study of Linear Algebra. I hope to hear from anyone who wishes to deepen their understanding of this topic.
Jackson J. studied logic at a graduate level while attending Columbia University for his Master's. The focus of his research was in the role logic plays in the foundations of modern physics.
The two most relevant courses he took were one entitled "Logic, Computability and Undecidability" and another independent study with Dr. Achille Varzi in first order logic with an emphasis on recursive function theory.
Mr. J. has a working knowledge of modal logic and its applications to the philosophy of science, gained through his study of the foundations of physics and probability. He is also familiar with Boolean Logic, having worked with the eminent logician Dr. Haim Gaifman, one of the world's leading researchers in Boolean logic. He is also expert in the field of Algorithmic Information Theory, a modern counterpart and extension of recursive function theory.
Two of Mr. J.'s favorite books discussing basic logic are Raymond Smullyan's "First Order Logic" and the classic Kleene's "Mathematical Logic." His favorite book in advanced recursive function theory is Murawski's "Recursive Function Theory and Metamathematics."
For modal logic, his favorite texts ground the abstract theory of modal logic in philosophical contexts. One of the best is "Fact, Fiction and Forecast" by Goodman. Another historically relevant text is Reichenbach's "Nomological Statements and Admissable Operations."
Mr. J. tutored mathematics, physics and some chemistry in high school and as an undergraduate. After college he started the mathematics and sciences tutoring program at Bard High School Early College in New York City. There he developed a basic tutoring system for mathematics and science as well as designing a mathematics enrichment program for the school. This experience as a tutor as well as his lucid writing style combine to make him an excellent choice for a logic tutor. His awareness of the historical contexts surrounding the development of logic enable him to give the student a richer and more comprehensive understanding of the field of modern logic.
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