Rouslan Krechetnikov

Professor, Faculty of Science - Mathematics & Statistical Sciences

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.


MATH 538 - Techniques of Applied Mathematics

Asymptotic analysis of integrals: Laplace, stationary phase, and steepest descent methods. Regular and singular perturbations: trained coordinates, multiple scales, asymptotic matching, renormalization techniques, WKB theory, Hamiltonian perturbation theory, center manifolds and stability. Singularities in differential equations. Applications to algebraic, ordinary and partial differential equations. Prerequisite: MATH 438 or equivalent.


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