Mathematical analysis 1 [Matricole pari] (2018/2019)

Course code
4S00030
Name of lecturer
Enrico Gregorio
Coordinator
Enrico Gregorio
Number of ECTS credits allocated
6
Academic sector
MAT/05 - MATHEMATICAL ANALYSIS
Language of instruction
Italian
Period
I semestre dal Oct 1, 2018 al Jan 31, 2019.

Lesson timetable

Go to lesson schedule

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.

Syllabus

Curves and tangents
Continuity
Limits
Differentiable functions
Study of functions
Integrals
Series

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

STUDENT MODULE EVALUATION - 2017/2018