Rouslan Krechetnikov

Contact

Professor
Faculty of Science - Mathematics & Statistical Sciences

Email: krechet@ualberta.ca
Phone: (780) 492-1926
Address: 3-267 Centennial Ctr For Interdisciplinary SCS II
11335 Saskatchewan Drive NW

Edmonton AB

T6G 2H5

Overview

Research

Areas

Applied Mathematics, Theoretical Experimental Fluid Dynamics, Partial Differential Equations

Courses

MATH 216 - Introduction to Analysis

Sets and functions. Induction. Axiomatic introduction of the real numbers. Sequences and series. Continuity and properties of continuous functions. Differentiation. Riemann integral. Corequisite: One of MATH 101, 115, 136, 146, 156 or SCI 100. Note: This course may not be taken for credit if credit has already been obtained in MATH 117. Credit can only be obtained in one of MATH 216 or MATH 314.

Winter Term 2027

MATH 539 - Applied Functional Analysis

Linear part:structure of function spaces, Sobolev spaces, embeddings, topologies, linear operators, adjoint and inverse operators, spectra, distributions, semigroup theory, integral equations, well-posedness and the notion of a solution. Nonlinear part: inequalities, Frechet and Gateaux derivatives, fixed point theorems. Applications from mechanics, reaction-diffusion equations, the Navier-Stokes equations, nonlinear Schrödinger equation. Prerequisite: MATH 438 or equivalent.