The course aims at providing students with adequate mathematical knowledge and quantitative methods to be used as supporting tools in decisions regarding the enterprise management.

Knowledge and understanding: students will learn the mathematical formulation of optimization problems, also under uncertainty, and of risk management problems. Students will also have clear in which context is better to apply methodologies studied in class and to understand their theoretical limits. Applying knowledge and understanding: thanks to a wide range of examples and case studies shown and discussed during the course (using also innovative teaching methods, like "flipped classroom") and thanks to group project works, students will be able to apply the studied methodologies in real enterprise management contexts and to use them as supporting tools for planning, control, and revision of business processes. Students will also be able to use tools, like the software Excel and R, for data analysis, scenario analysis and to present numerical results. Making judgments: students will develop critical thinking allowing them to determine the right context in which it is possible to apply correctly the studied models and methodologies and to fully comprehend their limits. Moreover, students will acquire the ability to judge the correctness and soundness of results obtained through quantitative methods and to interpret them so that they can be used in the appropriate management context. Communications Skills: Students will learn the mathematical lexicon of quantitative tools and will understand the meaning and the various economic, financial, and managerial interpretations. Students will be able to present the results of quantitative analyses using an appropriate language, will know how to explain and interpret results to give quantitative support to management decisions and, using the software Excel and R, will be able to use visual tools (such as graphs and tables) to synthesize results and effectively present them. These skills will be verified during the course thanks to innovative teaching methods, like "flipped classroom", and through group project works. Learning skills: students will be able to effectively apply the acquired knowledge in working environments and will have sufficient methodological bases to study more refined quantitative methods.

The course focuses on optimization methods, also under uncertainty, and risk management. In particular: linear programming problems, portfolio choice. Examples and case studies will be discussed, also using the software Excel and R.

- Vercellis, Carlo. Ottimizzazione: Teoria, Metodi, Applicazioni. Milano [etc.]: McGraw-Hill, 2008. https://tinyurl.com/ydlevkuy - Scandolo, Giacomo. Matematica Finanziaria. Udine: Amon, 2013. https://tinyurl.com/yjd3z3oz Further reading material will be provided by the instructor via the luiss.learn.it platform.

Lectures. Tutorials. Parts of lectures will be devoted to interactive sessions on the software Excel and R and to the discussion of examples and case studies, possibly adopting innovative teaching methods (e.g., "flipped classroom"). Students’ participation during lectures is strongly encouraged and will be considered in the final assessment.

Midterm. Written exam. Take-home assignments.

Interview with the instructor.

No.