My research covers various fields, including Probability theory and stochastic processes, Real functions, Integral transforms, operational calculus, Functional analysis, Partial differential equations, and Operator theory. Currently, I am working on random polynomials, referring to polynomials with random coefficients.
keywords
Random polynomials
Teaching
courses taught
MATH 2130 - Introduction to Linear Algebra for Non-Mathematics Majors
Primary Instructor
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Fall 2023 / Spring 2024 / Summer 2024
Examines basic properties of systems of linear equations, vector spaces, inner products, linear independence, dimension, linear transformations, matrices, determinants, eigenvalues, eigenvectors and diagonalization. Intended for students who do not plan to major in Mathematics. Degree credit not granted for this course and MATH 2135 or APPM 3310. Formerly MATH 3130.
MATH 3430 - Ordinary Differential Equations
Primary Instructor
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Fall 2024
Involves an elementary systematic introduction to first-order scalar differential equations, nth order linear differential equations, and n-dimensional linear systems of first-order differential equations. Additional topics are chosen from equations with regular singular points, Laplace transforms, phase plane techniques, basic existence and uniqueness and numerical solutions. Formerly MATH 4430.
MATH 4510 - Introduction to Probability Theory
Primary Instructor
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Spring 2024 / Fall 2024
Studies axioms, combinatorial analysis, independence and conditional probability, discrete and absolutely continuous distributions, expectation and distribution of functions of random variables, laws of large numbers, central limit theorems, and simple Markov chains if time permits. Degree credit not granted for this course and APPM 3570 or ECEN 3810 or MATH 3510. Same as MATH 5510.
MATH 5510 - Introduction to Probability Theory
Primary Instructor
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Fall 2024
Studies axioms, combinatorial analysis, independence and conditional probability, discrete and absolutely continuous distributions, expectation and distribution of functions of random variables, laws of large numbers, central limit theorems, and simple Markov chains if time permits. Same as MATH 4510.
