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
The 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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2° Year It will be activated in the A.Y. 2026/2027
| Modules | Credits | TAF | SSD |
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| Modules | Credits | TAF | SSD |
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| Modules | Credits | TAF | SSD |
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2 modules among the following: area algebra and geometry + analysis
- A.A. 2025/2026 Homological Algebra not activated
- A.A. 2026/2027 Applied algebra not activated
3 modules among the following: area modeling and computational mathematics24 credits among the following courses
- A.A. 2025/2026 Homological Algebra not activated.
- A.A. 2025/2026 Physics education laboratory not activated
- A.A. 2026/2027 Applied algebra not activatedLegend | 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.
Optimization (2025/2026)
Teaching code
4S001106
Teacher
Coordinator
Credits
6
Also offered in courses:
- Optimization of the course Master's degree in Mathematics
Language
English
Scientific Disciplinary Sector (SSD)
MAT/05 - MATHEMATICAL ANALYSIS
Period
2nd semester dal Mar 2, 2026 al Jun 12, 2026.
Courses Single
Authorized
Learning objectives
In this course we will provide an introduction to Convex Analysis in finite and infinite-dimensional spaces. We will show also some applications to problems of nonlinear optimizations and control theory arising from physics and economics. At the end of the course, the student should be able to: - understand the deep link between this and the previous courses (in particular, Functional Analysis); - use the main tools of convex analysis to solve convex optimization problems; - formalize and analyze simple control system coming from physical and economics models, in the framework of optimal control theory; - be autonomous in the use of the textbook suggested for the course.
Prerequisites and basic notions
Finite-dimensional calculus, linear algebra, basic topology.
Program
Convex sets and functions, convex and affine hulls, recession cones, hyperplanes, hyperplane separation, conjugate functions.
Polyhedral sets and functions, extreme points, polar cones.
Convex optimization, existence of optimal solutions. Duality for linear programming, convex programming, linear-conic programming and second-order cone programming, subgradients and optimality conditions, nonconvex problems. Existence of dual optimal solutions.
Descent methods for convex/nondifferentiable optimization, steepest descent method, subgradient methods, approximation methods, proximal methods, primal-dual approximation methods.
Didactic methods
In-room lectures, team working, homeworks.
Learning assessment procedures
The exam is divided into a written and an oral test, the two tests must be passed in the same exam session. There are no difference between the assessment of attending or non-attending students.
Evaluation criteria
- Knowledge and understanding: a part of the written and the oral tests will be devoted to verify the effective knowledge and understanding of the course's contents.
- Applying knowledge and understanding: both during the written and the oral tests, the student will be required to solve problems based on the course's contents.
- Making judgements: during the tests, the student can be asked to solve problems requiring a contribution basing on the material of the course assigned for personal study.
- Communication skills: during the written and the oral tests, the solutions expressed in a clear, complete and short way will be preferred.
Criteria for the composition of the final grade
Overall assessment of written and oral tests (on the Italian ranking system from 18 to 30).
Exam language
Inglese
