With this function you can construct your weekly calendar of lessons, which is customized on the basis of the courses that you intend to follow. Warning: the personal schedule does not replace the presentation of the study plan! It's an informal tool that can help you better manage the organization of class attendance before the study plan presentation. After the study plan presentation we recommend you to use the Lecture timetable service in your Online Services.
To create your customized schedule follow these instructions:
- Click on the "Enable" link to proceed. You will be asked your surname and first name in order to determine your alphabetic grouping.
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To add or remove courses from your personal schedule, use the small icons which are found next to the courses:
addition of the course
removal of the course
selection of the section of the Laboratory of Architecture (Note: the effective area in which the teaching will be carried out will be determined after the presentation of the Study Plans)
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The sidebar on the left displays the number of lessons included in schedule.
There are also these commands:
View the schedule: allows the viewing of the weekly synoptic schedule
Delete the schedule: cancels the selections made
When you have finished the entry, you can print the calendar you have made.
Semester (Sem) | 1 | First Semester | 2 | Second Semester | A | Annual course | Educational activities | A | Basic activities | Language |  | Course completely offered in italian |  | Course completely offered in english | -- | Not available | Innovative teaching |  | The credits shown next to this symbol indicate the part of the course CFUs provided with Innovative teaching. These CFUs include:
- Subject taught jointly with companies or organizations
- Blended Learning & Flipped Classroom
- Massive Open Online Courses (MOOC)
- Soft Skills
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Academic Year
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2018/2019
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School
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School of Industrial and Information Engineering
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Name
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(Bachelor of Science degree)(ord. 270) - BV (394) Management and Production Engineering
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Track
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GPL - Propedeutico LM - Logistica e Produzione
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Programme Year
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3
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ID Code
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091112
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Course Title
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MATHEMATICAL METHODS AND MODELS [C.I.]
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Course Type
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Integrated Course
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Credits (CFU / ECTS)
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10.0
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Semester
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First Semester
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Course Description
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1. Optimization in function spaces. Functionals; Lagrangian; the first variation; estrema and estremals. Free optimization: Eulero-Lagrange equation; convexity. Optimization with constraints: Lagrange multipliers. Applications: minimum surface area of revolution; the brachistochrone problem; the catenary (hanging cable) problem; best production planning; minimum transit time of a boat; best control program of failures; optimal plan of consumptions.
2. Optimal control theory. Hamiltonian; estremal and optimal controls: the Pontryagin principle. Feedback controls; Bellman's equation. Applications: optimal maintenance policy for rental housing; optimized inventory plan; optimal plan of sale; maximum flight distance of a rocket plane in horizontal flight.
3. The rigid body model and deformable continua. A review of the balance equations for Statics and Dynamics; applications to systems of planar rigid bodies. The model of deformable continua. Mass conservation and continuity equation. Cauchy's stress. The balance equations for deformable continua and the constitutive laws. An introduction to Fluid Mechanics: the Euler and Navier-Stokes equations.
4. The methods of Analytical Mechanics. Ideal constraints. The d'Alembert-Lagrange principle. The principle of virtual works and the stationarity of the potential. The dynamics of holonomic systems: the Lagrange equations; conjugate moments, generalized energy and their conservation. The Legendre transformation and the Hamilton equations.
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Scientific-Disciplinary Sector (SSD)
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Educational activities
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SSD Code
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SSD Description
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CFU
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A
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MAT/05
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MATHEMATICAL ANALYSIS
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5.0
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--
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MAT/07
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MATHEMATICAL PHYSICS
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5.0
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