Class Mathematics II

The CU of Mathematics II develops fundamental skills of Mathematics applied to Business Intelligence and Economic Intelligence, following a method of teaching based on problems from Economics, Corporate Management in general and Aeronautical Management in particular. Skills are developed in the application of mathematical methods to scenario analysis, risk analysis and strategic foresight aimed at resilience and sustainability solutions in the context of Economics and Corporate Management.

• SP.1. Mathematics Applied to Business Intelligence and Decision-Making in Economics and Management
  • SP.1.1. Mathematical methods in the context of Business Intelligence and of Economic Intelligence
  • SP.1.2. Probability Theory and Scenario Analytics
• SP.2. Fundamental Elements of Game Theory
  • SP.2.1. Nash Equilibria in Pure Strategies and Mixed Strategies
  • SP.2.2. Artificial Intelligence applied to Strategic Simulation
  • SP.2.3. Mixed Strategies and Scenario Analytics
  • SP.2.4. Evolutionary Modeling and Chaos Theory
• SP.3. Linear Algebra applied to decision-making problems under risk and under uncertainty
  • SP.3.1. Elements of Linear Algebra
  • SP.3.2. Algorithms for calculation of Nash equilibria using operations with matrices
  • SP.3.3. Applications of Linear Algebra to problems of decision-making under risk and under uncertainty

Theoretical-practical CU lectured from application examples based on real cases in the context of aeronautical management allowing students to acquire problem-solving skills and skills in the application of mathematics to strategic decision-making problems within the scope of aeronautical management, as well as expand the skills in dynamic modeling initiated in the CU of Mathematics I.

• Aumann, R.J. (2020). Lectures On Game Theory. New York, Routledge. ISBN: 978-0367162047.
• Jagoda, P. (2020). Experimental Games: Critique, Play, and Design in the Age of Gamification. Chicago, University of Chicago Press. ISBN: 978-0226629971.
• Peterson, M. (2017). An Introduction to Decision Theory. Cambridge, Cambridge University Press. ISBN: 978-1316606209.
• Rutherford, A. (2021). Learn Game Theory: A Primer to Strategic Thinking and Advanced Decision-Making.  UK, ARB Publications. ASIN: B0916P1W3K
• Sharda, R., Delen, D., Turban, E. (2014). Business Intelligence and Analytics - Systems for Decision Support. Global Edition. Essex, Pearson. ISBN: 978-1-292-00920-9.
• Gonçalves, CP (2022). Coupled Stochastic Chaos and Multifractal Turbulence in an Artificial Financial Market. International Journal of Swarm Intelligence and Evolutionary Computation, Vol. 11 Iss. 7, Forthcoming.