Code: | M4045 | Acronym: | M4045 |
Keywords | |
---|---|
Classification | Keyword |
OFICIAL | Mathematics |
Active? | Yes |
Responsible unit: | Department of Mathematics |
Course/CS Responsible: | Master in Mathematical Engineering |
Acronym | No. of Students | Study Plan | Curricular Years | Credits UCN | Credits ECTS | Contact hours | Total Time |
---|---|---|---|---|---|---|---|
M:A_ASTR | 4 | Plano de Estudos oficial desde_2013/14 | 1 | - | 6 | 56 | 162 |
2 | |||||||
M:ENM | 14 | Official Study Plan since 2013-2014 | 1 | - | 6 | 56 | 162 |
The course aims to introduce n aa rigorous the optimization theory (linear and nonlinear), variational calculus and theory of control. The fundamental concepts of these areas are addressed, as well as the most important mathematical tools for its analysis.
The aim is for students to acquire skills in algorithmic modeling and solving real situations common in many scientific and economic activities.
Linear optimization problems.
Non-linear optimization problems.
Problems with and without constraints.
Introduction to the calculus of variations. Euler-Lagrange formula.
Differential equations depending on controls. State variables and control variables. Presentation of some control problems. The maximum theorem of Pontryagin.
Teaching using various models in spreadsheets (Excel). Analysis of case studies displayed by students in class.
Use/presentation of optimization software (Mathematica, Matlab, Python, ...).
designation | Weight (%) |
---|---|
Participação presencial | 0,00 |
Teste | 100,00 |
Total: | 100,00 |
designation | Time (hours) |
---|---|
Estudo autónomo | 110,00 |
Frequência das aulas | 52,00 |
Total: | 162,00 |
The tests required under special statutes contain a written test which may be preceded by an oral round, to assess whether the student is in a position of trying to get approved minimum discipline in the written test.
Grade improvement will be made in consideration of the time for appeal.