This course is the first course in an intensive mathematics immersion program for career changers seeking to be teachers of mathematics. It provides an overview of mathematics across a variety of areas based on the backgrounds and needs of the students. Topics will be drawn from among mathematical reasoning and communication, number theory and concepts, algebra, analytic geometry, calculus, geometry, trigonometry, data analysis, probability, statistics and discrete mathematics.
A study of the concepts in probability theory along with derivation and application of appropriate computational methods. Topics include: combinatorics, basic axioms, independence, discrete and continuous univariate and multivariate distributions, expectation, limit theorems and simulation (if time permits).
A study of the concepts in theory of interest along with derivation and application of requisite mathematics for practical implementation of such concepts. Topics include: measurement of and problems in interest, annuities, yield rates, amortization and sinking funds, serurities, some advanced financial analysis (if time permits), and stochastic approaches to interest.
This course develops the mathematical foundation of risk characterization, risk assessment, risk communication, and risk management. A new approach integrating the technical, psychological, and sociological aspects of risk assessment is used.
This course develops the mathematical foundation of financial modeling. It covers model selection and analysis for valuation of various financial instruments and contingent claims.