Since April 2015, I have been investing in Mathematics textbooks and in Schaum's Outlines and Problem Solvers for Linear Algebra, Abstract Algebra, Probability and Statistics, Differential Equations, and Advanced Calculus. I have a resource bank of thousands of example problems which I can quickly re-delineate in several ink colors to facilitate understanding, and to which I can add customized precision graphics for even greater clarity. I have had several tutoring jobs since April 2015 thr... [more]
As for Algebra II, I have years of experience with Mathematical Induction, Synthetic Division, Logarithms, Compound Interest and Annuities, Infinite Sequences and Series, and Matrices; I have, in short, the whole catalog of problem types covered for Algebra II or "College Algebra". Algebra II (as well as Geometry, Trigonometry and Analytic Geometry) was really pounded into me in the course of learning Calculus because you are relentlessly confronted with these subjects throughout a Calculus textbook.
I have three formal courses in Calculus from Texas Tech, taken between 1980 and 1981. After graduation from Texas Tech, I independently reviewed Calculus by working straight through "Schaum's Outline Of Differential And Integral Calculus" and solving every problem that gave a final answer to check. I am currently exploring Thomas and Finney's "Calculus And Analytic Geometry/7th Edition" (long the excellent MIT standard textbook which I can only wish was my required text at TTU) as a further review. I am also pursuing Advanced Calculus/Mathematical Analysis to reach higher rigour and understanding in this vast and mesmerizing branch of Mathematics. I am fascinated by the history of Calculus, especially by the contributions of the great French mathematicians (Augustin Louis Cauchy in particular).
My personal experience with Physics started in the 7th grade when my class had an extended reading assignment on the life of Albert Einstein. This led to my lifelong interest in the history of Physics which is vital in truly understanding the subject itself. At Texas Tech (1980-1985), I first attempted Electrical Engineering but was overwhelmed by the Mathematics and Physics and only completed two Physics courses with a C and a D. I dropped Engineering for Secondary Education (Mathematics & History) but never could let Physics go. In 1988, I discovered Schaum's "3000 Solved Problems In Physics" and bought Raymond Serway's colorized 1400-page text for scientists and engineers in 1990. These books (and the Casio graphing calculator) were far superior to anything that I had at Texas Tech and catapulted me back into Physics. I started to pick problems and topics from this vast resource bank, diagramming and illustrating them in multiple colors. I have ever since been essentially tutoring myself and therefore can readily transmit this knowledge and expertise to any Physics student.
I was first "vortexed" into Statistics at Texas Tech in 1984 since it was required for graduation. I drove myself through the material with the aid of Schaum's Outlines and finally achieved a B in the course. Since 2015 I have had three different Statistics students contact me through my Craigslist posting for help and have naturally become greatly more interested in the subject and have explored its entire contents, including Analysis Of Variance, Non-Parametric Tests, and Bayesian Methods. The employment of statistical methods in Physics has also boosted my interest because I have been attacking Physics since 1982 and the above motivations, added to my access to Statistics programming offered within Microsoft Excel, would make me an excellent tutor in this branch of Mathematics.
I have one intensive course in Differential Equations from Texas Tech; this class was my first encounter with the exacting rigour, high practicality, elegance, "neatness" and vastness of this topic of Mathematics. I went on to take Linear Algebra, Probability & Statistics, and Abstract Algebra, but none of these topics ever held my fondness and downright fascination as much as "Diff. E's". My continued obsession after Texas Tech led me to buy "Schaum's Differential Equations", "Schaum's 2500 Solved Problems In Differential Equations", Tenenbaum & Pollard's "Ordinary Differential Equations" (a tremendous and exhaustive treatment of some 800 pages) and Farlow's "Partial Differential Equations For Scientists And Engineers". These combined books constitute a veritable ocean of material from which I can draw thousands of example problems that can quickly be augmented with color and precision graphics for presentation to the student. This is a topic of Mathematics wherein my heart earnestly lies; I myself have so much more to explore about Differential Equations and my drive to learn will increase my ability to teach.