Arno Berger

Professor, Faculty of Science - Mathematics & Statistical Sciences

Contact

Professor, Faculty of Science - Mathematics & Statistical Sciences
Email
arno.berger@ualberta.ca
Phone
(780) 492-3798
Address
683 Central Academic Building
11324 - 89 Ave NW
Edmonton AB
T6G 2G1

Overview

Research

Areas

Dynamical Systems, Probability Theory

Courses

MATH 300 - Advanced Boundary Value Problems I

Derivation of the classical partial differential equations of applied mathematics, solutions using separation of variables. Fourier expansions and their applications to boundary value problems. Introduction to Fourier Transforms. Emphasis on building an appropriate mathematical model from a physical problem, solving the mathematical problem, and carefully interpreting the mathematical results in the context of the original physical problem. Prerequisites: MATH 201 and 209. Notes: (1) Open only to students in Engineering, Specialization Physics, and Specialization Geophysics. (2) Credit can be obtained in at most one of MATH 300 and 337.

Winter Term 2021
MATH 418 - Honors Real Variables II

Classical Banach spaces. Hahn-Banach, open mapping and closed graphs theorems. Hilbert spaces, orthonormal bases. Elements of spectral theory, spectra of compact operators, spectral theorem for compact self-adjoint operators. Prerequisite: MATH 417. Corequisite: MATH 447.

Fall Term 2020
MATH 516 - Linear Analysis

Classical Banach spaces. Hahn-Banach, open mapping and closed graphs theorems. Hilbert spaces, orthonormal bases. Elements of spectral theory, spectra of compact operators, spectral theorem for compact self-adjoint operators. Prerequisite: MATH 417. Corequisite: MATH 447.

Fall Term 2020

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