Unit MATHEMATICAL PHYSICS I

Course
Mathematics
Study-unit Code
55109909
Curriculum
In all curricula
Teacher
Roberta Filippucci
Teachers
  • Roberta Filippucci
  • Francesca Di Patti (Codocenza)
Hours
  • 36 ore - Roberta Filippucci
  • 6 ore (Codocenza) - Francesca Di Patti
CFU
6
Course Regulation
Coorte 2018
Offered
2020/21
Learning activities
Caratterizzante
Area
Formazione modellistico-applicativa
Academic discipline
MAT/07
Type of study-unit
Obbligatorio (Required)
Type of learning activities
Attività formativa monodisciplinare
Language of instruction
Italian
Contents
Partial differential equations of first order with corresponding initial value problems. Linear partial differential equations of second order of hyperbolic, parabolic and elliptic type with corresponding initial and boundary value problems. Methods of solution and applications.
Reference texts
U. Tyn-Mynt and L. Debnath, Linear Partial Differential Equations for Scientists and Engineers, Birkhauser, 2007.

The lecturer has supplied notes and Maple worksheets in UniStudium.
Educational objectives
Be able to study and solve simple mathematical models that involve partial differential equations.
Prerequisites
Prerequisite for students, planning to attend the course with profit, is basic knowledge of multidimensional calculus;
ordinary differential equations, Cauchy problems; Fourier series; classical dynamics.
Teaching methods
Face-to-face Lectures and practical training in the Computer Lab with Maple. Office hours.
Other information
It is recommended to attend the lectures.
Learning verification modality
Oral exam that includes solving exercises. An oral exam is extremely important. It allows the student to demonstrate her/his comprehension of the syllabus and to dialogue with the professor by using the appropriate scientific terminology. Moreover, during the oral exam the student is able to correct a wrong statement by means of the interaction with the professor who stimulates her/him to reason. The length of the exam is directly proportional to the student's emotional feelings and inversely proportional to her/his knowledge of the syllabus.
Extended program
The detailed program can be downloaded here:
http://www.dmi.unipg.it/nucci/FMIprog19_20.pdf
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