Juraj Földes headshot
JF

Juraj Foldes

Assistant Professor
Unit: College of Arts and Sciences
Department: Department of Mathematics
Office location and address
322 Kerchof Hall
141 Cabell Dr
Charlottesville, Virginia 22904
Statistical Methods in Fluid Dynamics
Source: U.S. NSF - Directorate Math. & Physical Sciences
July 01, 2018 – June 30, 2022
MATH 2315: Advanced Calculus and Linear Algebra I
Credits: 4
Covers the material from Math 2310 (multivariable calculus) plus topics from complex numbers, set theory, and linear algebra. Prepares students for taking advanced mathematics classes at an early stage. Credit is not given for both Math 2310 and Math 2315.
MATH 3315: Advanced Calculus and Linear Algebra II
Credits: 4
This course is a continuation of MATH 2315. Covers topics from linear algebra/differential equations/real analysis. Success in this course and MATH 2315 (grades of B- or higher) exempts the student from the math major requirement of taking MATH 3351 and MATH 3250. Students are encouraged to take more advanced courses in these areas. Prerequisite: MATH 2315.
MATH 3559: New Course in Mathematics
Credits: 1–4
This course provides the opportunity to offer a new topic in the subject of mathematics.
MATH 4110: Introduction to Stochastic Processes
Credits: 3
Topics in probability selected from Random walks, Markov processes, Brownian motion, Poisson processes, branching processes, stationary time series, linear filtering and prediction, queuing processes, and renewal theory. Prerequisite: MATH 3100 or APMA 3100; and a knowledge of matrix algebra
MATH 4250: Differential Equations and Dynamical Systems
Credits: 3
A second course in ordinary differential equations, from the dynamical systems point of view. Topics include: existence and uniqueness theorems; linear systems; qualitative study of equilibria and attractors; bifurcation theory; introduction to chaotic systems. Further topics as chosen by the instructor. Applications drawn from physics, biology, and engineering. Prerequisites: MATH 3351 or APMA 3080 and MATH 3310 or MATH 4310.
MATH 4300: Elementary Numerical Analysis
Credits: 3
Includes Taylor's theorem, solution of nonlinear equations, interpolation and approximation by polynomials, numerical quadrature. May also cover numerical solutions of ordinary differential equations, Fourier series, or least-square approximation. Prerequisite: MATH 3250 and computer proficiency.
MATH 4900: Distinguished Major Thesis
Credits: 3
This course provides a framework for the completion of a Distinguished Major Thesis, a treatise containing an exposition of a chosen mathematical topic. A faculty advisor guides a student through the beginning phases of the process of research and writing. Prerequisite: Acceptance into the Distinguished Major Program.
MATH 4993: Independent Study
Credits: 1–3
Reading and study programs in areas of interest to individual students. For third- and fourth-years interested in topics not covered in regular courses. Students must obtain a faculty advisor to approve and direct the program.
MATH 5080: Operations Research
Credits: 3
Development of mathematical models and their solutions, including linear programming, the simplex algorithm, dual programming, parametric programming, integer programming, transportation models, assignment models, and network analysis. Prerequisites: MATH 1320, 3351 and a proof-based course (3000, 3310 or 3354).
MATH 7340: Complex Analysis I
Credits: 3
Studies the fundamental theorems of analytic function theory.
MATH 8470: Fluid Dynamics
Credits: 3
This is an interdisciplinary course that builds rigorous mathematical theory of fluid flows and provides applications to physics and engineering. Topics include Eulerian and Lagrangian formulation, conservation laws, special solutions, Helmholtz decomposition, and theory of turbulence.
MATH 9250: Harmonic Analysis and PDEs
Credits: 3
Harmonic Analysis and PDEs seminar