COURSE

AMAT5250

Mathematical Methods for Materials Science and Engineering

Function Hub / Advanced Materials · 3 Credits

This course will focus on mathematical methods, with specific concern about construction, analysis, and interpretation of mathematical models that shed light on significant problems in materials science and engineering. There are many courses that present collection of math techniques, but this course will be different: typically, we will use a “case-study” approach, i.e., select a series of important scientific problems, whose solution will involve some useful mathematics. We will start with the scientific background, then formulate relevant mathematical problem with care. The formulation step is usually more challenging than just learning the mathematics. Through the case studies, useful math techniques will be introduced naturally. Some typical case studies include: collective motions and aggregations, heat conduction and elasticity of materials, charge transport, plasmonic effects and bio-chemical kinetics, etc.