MIME 260 Lecture : Lecture 1

• School: McGill University
• Department: Mining & Materials Engineering
• Course: MIME 260
• Professor: Mihriban. O. Pekguleryuz

Document Summary

In today"s lecture we discuss mathematical modeling in the context of natural sciences. The goal is to derive a class of mathematical models which will lead naturally into the study of di erential equations. An important step in the scienti c and engineering process is the construction of a mathematical model. A mathematical model is fundamentally an attempt to formalize the patterns and regularity observed in the context of a scienti c and engineering problem. In many applications a math model is formulated using either continuous mathematics or discrete mathematics. Morevoer the model may re ect either a stochastic process or deterministic process. Immediately prior to constructing a mathematical model, scientists and engineers formulate many concepts which qualitatively describe the phenomenon they are studying. For example many scienti c and engineering systems demonstrate properties akin to equilibrium, di usion, reaction, ow/transport, vibrations/oscillations, control and dispersion.