Computer Science

General goals: The purpose of the course is to provide the student with basic mathematical analysis tools such as : the theory of series, integral calculus and differential equations. Specific goals: Students will be able to examine various techniques of integration and apply them to compute definite and indefinite integrals by using integration by substitution and the rule of integration by parts.Students will be able tocompute limits of sequences and discuss the convergence of number series, power seriesand Taylor series of elementary functions. Knowledge and understanding: At the end of this course the students will be able to calculate integrals and the solutions of some first order differential equationsand the solutions of second order linear differential equations with constant coefficientsLearning activities consists of lectures and exercise sessions. The lecture aim to introduce fundamental concepts, to explain them by showing examples. Applying knowledge and understanding: The exercise sessions aim to teach how to select and use calculation methods. Critical and judgmental abilities: To be able to autonomously solve new problems, applying mathematical tools to phenomena or processes to be encountered in University studies or subsequent working activities. Communication skills: To know how to communicate using properly mathematical language. Learning ability: To be able to deepen autonomously some arguments introduced during the course.