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Publications in VIVO
 

Elliott, Peter D Professor

Positions

Research Areas research areas

Publications

selected publications

Teaching

courses taught

  • MATH 3110 - Introduction to Theory of Numbers
    Primary Instructor - Spring 2018
    Studies the set of integers, focusing on divisibility, congruences, arithmetic functions, sums of squares, quadratic residues and reciprocity, and elementary results on distributions of primes.
  • MATH 3510 - Introduction to Probability and Statistics
    Primary Instructor - Spring 2019
    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.
  • MATH 4510 - Introduction to Probability Theory
    Primary Instructor - Fall 2018
    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 - Fall 2018
    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.
  • MATH 6350 - Functions of a Complex Variable 1
    Primary Instructor - Spring 2019
    Focuses on complex numbers and the complex plane. Includes Cauchy-Riemann equations, complex integration, Cauchy integral theory, infinite series and products, and residue theory. Department enforced prerequisite: MATH 4001. Instructor consent required for undergraduates.
  • MATH 8114 - Topics in Number Theory
    Primary Instructor - Spring 2018
    May include the theory of automorphic forms, elliptic curves, or any of a variety of advanced topics in analytic and algebraic number theory. Department enforced prerequisite: MATH 6110. Instructor consent required for undergraduates.

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