The aim of the course is to present mathematical models for real applications using differential equations and numerical methods for scientific calculus.
Course Prerequisites
A preliminary knowledge of differential calculus is required. These concepts will be presented at the beginning of the course.
Teaching Methods
The course consists of lectures, delivered through the aid of slides and notes, and of computational examples that are useful for the comprehension of mathematical models.
Assessment Methods
The final exam consists of a project and of an oral exam on the topics of the course.
Texts
The following books are recommended: 1) G. Naldi, L. Pareschi. Matlab: Concetti e Progetti. Maggioli Editore. 2) A. Friedman, W. Littman. Industrial Mathematics: A Course in Solving Real-World Problems. SIAM. 3) V. Villani, G. Gentili. Matematica. Comprendere e interpretare fenomeni delle scienze della vita. McGraw-Hill Education.
Contents
Models for physical phenomena: differential equations, existence and uniqueness of solutions, explicit solutions for differential equations of first and second order, Growth models and models for condensed matter. introduction to scientific calculus on Matlab, explicit and implicit numerical methods for differential equations.
Course Language
Italian
More information
The professor is available for further clarifications about the program.
