PHYS 373 – Mathematical Methods for Physics II
Discipline(s): Physics, STEM
Credits: 3
Available: fall semester 2024
Instructor: TBA
Taught in: English
Description
This course is aimed to provide a strong mathematical background to students, thus enabling them to deal with issues that are typical of different areas of physics. The course consists of three parts: 1) Fourier series, Fourier and Laplace Transforms (which are essential tools to data and signals analysis) 2) Complex variables analysis and in particular its application to the solution of integrals using the residue method and 3) Solution of ordinary and partial differential equations. The topics are introduced and discussed using examples from and applications to real physics systems.
Learning Outcomes
– Capability of solving most of the differential (ordinary and partial) equations that describe real physics problems, with approximate and/or exact solutions.
– Learn the mathematical tool to process data and signals (Fourier and Laplace transform)
– Learn how to evaluate real integrals using complex functions and inversion of the Laplace transform (Bromwich integral)
Course descriptions may be subject to occasional minor modifications at the discretion of the instructor.