Studying at the University of Verona
Here you can find information on the organisational aspects of the Programme, lecture timetables, learning activities and useful contact details for your time at the University, from enrolment to graduation.
Study Plan
This information is intended exclusively for students already enrolled in this course.If you are a new student interested in enrolling, you can find information about the course of study on the course page:
Laurea magistrale in Mathematics - Enrollment from 2025/2026The Study Plan includes all modules, teaching and learning activities that each student will need to undertake during their time at the University.
Please select your Study Plan based on your enrollment year.
1° Year
Modules | Credits | TAF | SSD |
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Modules | Credits | TAF | SSD |
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Modules | Credits | TAF | SSD |
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1 module between the following (a.a. 2022/23 Computational Algebra not activated; a.a. 2023/24 Homological Algebra not activated)
1 module between the following
3 modules among the following
Legend | Type of training activity (TTA)
TAF (Type of Educational Activity) All courses and activities are classified into different types of educational activities, indicated by a letter.
Partial differential equations (2022/2023)
Teaching code
4S001097
Teacher
Coordinator
Credits
6
Language
English
Scientific Disciplinary Sector (SSD)
MAT/05 - MATHEMATICAL ANALYSIS
Period
Semester 2 dal Mar 6, 2023 al Jun 16, 2023.
Learning objectives
The course aims to give a general overview of the theoretical aspects of the most important partial differential equations arising as fundamental models in the description of main phenomena in Physics, Biology, economical/social sciences and data analysis, such as diffusion, transport, reaction, concentration, wave propagation, with a particular focus on well-posedness (i.e. existence, uniqueness, stability with respect to data). Moreover, the theoretical properties of solutions are studied in connection with numerical approximation methods (e.g. Galerkin finite dimensional approximations) which are studied and implemented in the Numerical Analysis courses.
Prerequisites and basic notions
Calculus in several variables, integration, ODE.
Program
Classical theory for linear equations, introduction to some nonlinear equations. Representation formulas.
Then, we turn our attention to the study of weak solutions for linear equations, in connection with numerical implementation.
Didactic methods
Theory and exercises.
Learning assessment procedures
Written exam.
Evaluation criteria
Theory and exercises.
Criteria for the composition of the final grade
50% theory, 50% exercises.