Mathematical analysis 1 [Matricole pari] (2019/2020)

Course code
Name of lecturer
Enrico Gregorio
Enrico Gregorio
Number of ECTS credits allocated
Academic sector
Language of instruction
I semestre dal Oct 1, 2019 al Jan 31, 2020.

Lesson timetable

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Learning outcomes

The course will treat the fundamental concepts of mathematical analysis: the aim is to provide a bet- ter consciousness of the analytic methods in view of applications of analysis. At the end of the course, the students shall prove of being able: to apply mathematical analysis techniques to the solution of problems about functions, derivatives, integrals and series also in different contexts even not strictly mathematical; to apply mathematical analysis techniques to solution of problems; to choose among the various techniques the one better suited to the problem at hand; to describe the solution of a problem employing correct terminology; to widen their knowledge starting from what they learned.


Curves and tangents
Differentiable functions
Study of functions

Reference books
Author Title Publisher Year ISBN Note
Serge Lang A first course in calculus (Edizione 5) Springer 1986 0-387-96201-8

Assessment methods and criteria

The written exam consists in discussing a topic from a theoretical point of view and in solving some exercises on the topics of the course. The complete solution of the exercises leads to a grade not higher than 21/30. Evaluation criteria: • Knowledge and understanding: comprehension of the text of the problems and mastering of the theory behind them. • Applying knowledge and understanding: ability to apply the general techniques to a specific problem • Making judgements: ability to express the learned theoretical concepts in varied situations • Communication skills: language clarity and appropriateness • Learning skills: ability to structure a proof different from those presented during the course