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Mishev, Ilia Dimitrov

Instructor

Positions

Research Areas research areas

Research

research overview

  • Dr. Mishev's research interests are in the general area of Analysis. His main current focus is on Special functions (MSC2020 #33). Some of his current projects involve studying relations among hypergeometric series of unit argument, terminating hypergeometric series, inverse transformations, orthogonal polynomials.

keywords

  • analysis, special functions, hypergeometric series, orthogonal polynomials, inverse transformations, combinatorics

Publications

selected publications

Teaching

courses taught

  • MATH 1300 - Calculus 1
    Primary Instructor - Fall 2018 / Spring 2019 / Fall 2019 / Summer 2020 / Fall 2020
    Topics include limits, derivatives of algebraic and transcendental functions, applications of the derivative, integration and applications of the definite integral. Students who have already earned college credit for calculus 1 are eligible to enroll in this course if they want to solidify their knowledge base in calculus 1. For more information about the math placement referred to in the "Enrollment Requirements", contact your academic advisor. Degree credit not granted for this course and APPM 1345 or APPM 1350 or ECON 1088 MATH 1081 or MATH 1310 or MATH 1330.
  • MATH 2130 - Introduction to Linear Algebra for Non-Mathematics Majors
    Primary Instructor - Summer 2018 / Fall 2018
    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 2300 - Calculus 2
    Primary Instructor - Spring 2018 / Spring 2019 / Summer 2019 / Spring 2020 / Spring 2021
    Continuation of MATH 1300. Topics include transcendental functions, methods of integration, polar coordinates, differential equations, improper integrals, infinite sequences and series, Taylor polynomials and Taylor series. Department enforced prerequisite: MATH 1300 or MATH 1310 or APPM 1345 or APPM 1350 (minimum grade C-). Degree credit not granted for this course and APPM 1360.
  • MATH 2510 - Introduction to Statistics
    Primary Instructor - Fall 2020 / Spring 2021 / Spring 2022
    Elementary statistical measures. Introduces statistical distributions, statistical inference, hypothesis testing and linear regression. Department enforced prerequisite: two years of high school algebra.
  • MATH 3510 - Introduction to Probability and Statistics
    Primary Instructor - Spring 2018 / Summer 2018 / Fall 2018 / Summer 2019 / Fall 2019 / Spring 2020 / Summer 2020
    Introduces the basic notions of Probability: random variables, expectation, conditioning, and the standard distributions (Binomial, Poisson, Exponential, Normal). This course also covers the Law of Large Numbers and Central Limit Theorem as they apply to statistical questions: sampling from a random distribution, estimation, and hypothesis testing. Credit not granted for this course and MATH 2510 or MATH 4510.

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