Prerequisites: MAA101, MAA102
Mathematical Modeling (MAA107)
introduces the topic as it applies to physics,
biology and economics. The course
covers mathematical formalization which
can be used to describe some dynamics
related to the following topics: mechanical
and biological systems, evolution
of populations, pricing, contract theory,
etc. Students learn to evaluate models and
motivating questions, to determine how
mathematics can provide quantitative
or qualitative answers. To this end, the
course introduces students to and develops
tools and technics from dynamical
systems (e.g. recurrence relation and ordinary
differential equations) and random
evolution (e.g. Markov chain on a finite
state space and discrete martingale).