I studied mathematics at M.I.T. for many years. I came to Georgia to get a doctorate in philosophy. I have been teaching and tutoring for a decade at various colleges, including Athens Technical College, University of Georgia, Piedmont College, and the University of South Carolina, Upstate. I can explain things easily. I can bring you to the edge of the answer, and let you see it for yourself. That's when the real learning happens. My specialty is mathematical logic, but I have taught s... [more]
I took a class in discrete applied mathematics at M.I.T. I took a class in number theory. I also took a class in combinatorics. I taught myself probability and passed the actuarial probability exam. (I had the deeper theoretical background of measure theory, and simply coupled it with the combinatorics.)
I took differential equations at M.I.T. as a freshman. I recall getting a 100 on one of the exams. I have a book on differential equations, and I read it from time to time. I enjoy the subject and can tutor it.
I passed the Probability (P) exam for actuaries in the spring of 2015. I have been studying for the Financial Mathematics (FM) exam for a year and can now do all all the problems in the Society of Actuaries' "Exam FM Sample Questions." I will be registering for this exam in March and taking it in April.
I took Linear Algebra at M.I.T. The book was Gilbert Strang's "Linear Algebra and Its Applications." As a mathematician, once you learn linear algebra, you never stop using it. However, for the finer points, I have ready access to the book as a reference.
I studied mathematical logic with Gerald Sachs at M.I.T. I took every mathematical logic class offered at Harvard and M.I.T. These include Recursion Theory, Set Theory, Model Theory, and Higher Recursion Theory. In each class, the grade of A was received. Books studies include Enderton's "A Mathematical Introduction to Logic" and Hodges' "A Shorter Model Theory." I taught mathematical logic in the philosophy department at UGA.
In reviewing various accounts of what constitutes finite mathematics, I see no aspect of mathematics that I am not familiar with. At M.I.T., I took twenty-five mathematics courses, and the topics of mathematical model building, matrix algebra, linear programming, combinatorics, probability, statistics and logic were all covered.