Xinwei Yu

Associate Professor, Faculty of Science - Mathematics & Statistical Sciences

Contact

Associate Professor, Faculty of Science - Mathematics & Statistical Sciences
Email
xinwei2@ualberta.ca
Address
527 Central Academic Building
11324 - 89 Ave NW
Edmonton AB
T6G 2G1

Overview

Area of Study / Keywords

Partial Differential Equations; Fluid Mechanics; Wireless Communications

Courses

MATH 225 - Linear Algebra II

Vector spaces. Inner product spaces. Examples of n-space and the space of continuous functions. Gram-Schmidt process, QR factorization of a matrix and least squares. Linear transformations, change of basis, similarity and diagonalization. Orthogonal diagonalization, quadratic forms. Applications in a variety of fields. Prerequisites: One of MATH 100, 113, 114, 117, 134, 144, 154 or SCI 100, and one of MATH 102, 125 or 127. Note: Credit can be obtained in at most one of MATH 225 or 227.


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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