In December 2017 I retired from a 35-year career as a mathematical economist in the financial services industry. Mathematical economists use math to analyze economic activity. In my career, I used my math skills to build models that I used to trade securities and to manage funds. Building econometric models to produce useful information requires knowledge of algebra, geometry, trigonometry, calculus, probability, statistics and linear algebra plus the programming skills required to implement...
In December 2017 I retired from a 35-year career as a mathematical economist in the financial services industry. Mathematical economists use math to analyze economic activity. In my career, I used my math skills to build models that I used to trade securities and to manage funds. Building econometric models to produce useful information requires knowledge of algebra, geometry, trigonometry, calculus, probability, statistics and linear algebra plus the programming skills required to implement them in a systematic way. My math skills enabled me to have a successful career in finance.
Before I worked in finance, I taught high school math and physics. During my career, I taught economics at a local college. Both experiences motivated me to teach math once my own children graduated college and I retired from my career in finance because they reminded me that only by developing my math skills early in life was I able to attain my own goals in life. Today the foundational role of math in so many career paths, from astronaut to zoologist, makes it more essential than ever for many people to become proficient with some types of mathematics. Of course the subjects with which one must develop familiarity vary with occupational objectives. For accountants, a firm grasp of arithmetic and algebra may suffice. In contrast, civil engineers must have at least a very firm understanding of geometry and trigonometry, and most likely an equally strong command of integral calculus. Professional economists must understand both calculus, probability, and linear algebra. Anyone engaged in serious statistical analysis must know the same. Serious physicists and astronomers must know all that and more. I am tutoring math to help the next generation of natural and social scientists and professionals experience the same academic and career success that I have known.
Students in any field of natural or social science must develop the math skills they require to attain their own academic and professional objectives. As a practicing mathematician, I am a lifelong student of math because real world problems, unlike textbook ones, usually involve a combination of math skills. As a result, my math library has traveled with me throughout my career. Having it available also allowed me to help my own children with their high school math.
In school, each new math subject builds upon previous ones. Because my expertise spans the gamut from algebra through calculus, I can fill any gaps in knowledge that may prevent a student from succeeding at each level. Success in math classes requires a firm foundation and systematic development. To this end, I use a simple four step approach to tutoring math: (1) student submits up to five problems 24 hours before each session; (2) tutor prepares answers in advance of session; (3) student and tutor review problems submitted before session and related material and problems in session; (4) tutor sends student a document prepared with Maple math software that shows all work performed in session. Because I conducts all classes online using Zoom video conferencing, students may also receive a free recording of each session that allows them to review what they have learned.
Many students wonder why they need to study math. I cannot count the number of times I have heard someone moan about calculus by saying they will never need to know it in the real world. Needless to say, I disagree with that sentiment. I did not just study math in school. I used it to make a living. As a result, I teach students not only how to solve problems, but also how to apply academic math to life and work. For most students, the short term objective of a math class is simply to pass with a grade sufficient to meet a program objective. While that is completely appropriate as a primary objective, long-term success requires one to understand how to apply math tools to real world problems. I know how to do that and enjoy teaching others to do it as well.