APPLIED STATISTICS
Familiarity with ordinary (differential and integral) calculus with real functions of one variable.
The course's main goal is to explain what a mathematical model is, by introducing the students to some basic tools - such as ordinary differential equations, optimization theory and Kuhn-Tucker theorem - which have not been explained in a Math I class.
Complex numbers; Difference equations; First order linear difference equations; Ordinary differential equations; Linear differential equations of higher order; Real functions of several variables; Continuity, derivability and differentiability; Taylor development; Optimization; Maximum /minimum points with and without constraints; Non linear programming; Lagrange theorem; Kuhn-Tucker theorem; Search of maximum/minimum points over a region.
The final exam is made by a short written text and an oral exam.
Course notes.