Base Knowledge
Mathematics
Teaching Methodologies
In theoretical-practical classes, expository and inquisitive methods are used. During classes, practical situations are exposed; to encourage the understanding and the critical thinking. The students, in an active participation, proceed to solve exercises and problems applied to civil engineering.
Learning Results
Present the main quantitative methods to support decisions, with skills in regression analysis and optimization. The application cases demonstrate the potential of linear, integer and non-linear decision support methods. Acquisition of skills in modelling and solving optimization problems. Give main emphasis to the formulation of various types of civil engineering problems, their resolution and critical analysis of the solutions obtained. Develop and encourage the students to solve problems with the support of computational tools, recognizing advantages and limitations when solving real-world civil engineering design and planning problems.
Program
1 – Introduction to quantitative methods for making decisions Importance of these methods in the scope of civil engineering Civil engineering applications cases.
2 – Introduction to optimization programming techniques Linear programming
Integer programming
Non-linear programming
3 – Regression
Simple linear regression. Multiple linear regression. Other regression models. Modelling and solving problems with the support of computational tools.
Civil Engineering applications. Add-in Analysis ToolPak of Microsoft Excel.
4- Add-in Solver of Microsoft Excel
5 – Real world civil engineering applications
Linear programming models: modelling and the Simplex method
Integer programming: modelling and the Branch-and- Bound method
Non-linear programming: modelling and the generalized reduced gradient method.
Internship(s)
NAO
Bibliography
C. Henggeler Antunes, Luís Valadares Tavares, (coordenadores) (2000) Casos de Aplicação da Investigação Operacional, McGraw-Hill. L. Valadares Tavares, (1996). Investigação Operacional, McGraw Hill.
F. Hillier, G. Lieberman, (2004). Introduction to Operations Research, McGraw Hill.
J. Heizer e B. Render, (1999) Operations management, 5nd Ed., Prentice Hall.
Montgomery, Douglas C. and Runger, George C. (2019) Applied Statistics and Probability for Engineers, 7nd Ed. John Wiley & Sons.
Material de apoio disponibilizado pelos docentes.