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Degrees
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Bachelors degree in Mathematics.
Associate member of the professional risk managers international association.
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My Expert Service
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- Introduction to Calculus. Calculus of Functions of One and Several Variables. Calculus of Vector-Valued Functions (differentiation and integration of parametrically defined functions, iterated, double, triple and surface integrals, vector fields, line integrals, Green’s theorem, curl and divergence, and Stokes’ theorem)
- Introductory Statistics (probability theory, descriptive statistics, the binomial and normal distributions, confidence intervals, basic concepts of tests of hypotheses, chi-square tests, nonparametric tests, normal theory t-tests, correlation, and simple regression).
- Multivariate Statistical Analysis (Simple linear regression, multiple regression, and analysis of variance, statistical model-building strategies, regression diagnostics, analysis of complex data sets and scientific writing skills).
- Discrete Probability (finite probability spaces and stochastic processes).
- Combinatorics (permutations and combinations, inclusion-exclusion, recursions, generating functions, graphs and directed graphs and ordered sets).
- Linear Algebra with Applications (Euclidean space: bases, subspaces, dimension, determinants, characteristic polynomials, eigenvalues, eigenvectors, and matrix representations of linear transformations and change of basis).
- Differential Equations (both linear and nonlinear, ordinary differential equations using eigenvectors and eigenvalues, numerical solutions of first and second order equations and of systems, and the solution of partial differential equations using Fourier series).
- Numerical Methods in Computation (computational methods for solving linear and nonlinear equations, doing polynomial interpolation, evaluating integrals, solving ordinary differential equations, and determining eigenvalues and eigenvectors of matrices).
- Abstract Algebra (groups and rings, further algebraic structures, applications of the theory to areas such as coding theory).
- Sentential and First-Order Logic (proof theory and model theory, the Gödel incompleteness theorem).
- Functions of a Complex Variable (differential and integral calculus of complex variables including such topics as Cauchy’s theorem, Cauchy’s integral formula and their consequences; singularities, Laurent’s theorem, and the residue calculus; harmonic functions and conformal mapping).
- Number Theory (elementary arithmetic of the integers: prime numbers, factorization, congruences, diophantine equations).
- Geometry, Trigonometry, and Algebra for a reduced fee.
Mathematics awards granted by AHSME, MATHCOUNTS, the FBLA, and others.
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Experience & Qualifications
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I have 4 years of mathematics tutoring experience at an Ivy League university, in addition to almost 25 years of personal mathematics study and use. I have spent 2 year working in quantitative risk management at a leading fund and currently have my own financial services company.
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Available Modes Of Communication
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email/chat
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Contact
MathHelpDesk
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