Applied Computer Science and Artificial Intelligence

General goals: Acquire knowledge of the elementary techniques of Integral and differential calculus Specific goals: Provide basic mathematical analysis tools such as integrals, numerical and power series and differential equations. Knowledge and understanding:Riemann integration; improper integrals. Numerical series. Power series. ODE (first degree: linear, separation of variables method) second degree with constant coefficients (homogeneous and with known term) Applying knowledge and understanding: To be able to carry out exercises on numerical and power series. To understand the notion of definite and indefinite, improper integrals. also in relation to numerical series.To nnow the ordinary differential equations that can be carried out explicitly as those of the first order linear and with a separation of variables method, or of the second order with homogeneous constant coefficients and with a known elementary term Critical and judgmental abilities: Know how to identify the best approach, among the various ones studied, to solve an integral, series or differential equations. Furthermore, the student will be able to understand the problems relating to proper and improper integrals and divergent series. Communication skills: To be able to discern between the various mathematical tools useful for understanding integrals, series and differential equations and also to explain the rigorous methods used. Learning ability: To be able to state and apply the theorems and techniques used during the course.