Course 2019-2020 a.y.

30448 - MATHEMATICS - MODULE 1 (THEORY AND METHODS)

Department of Decision Sciences

Course taught in English
Go to class group/s: 13
BESS-CLES (9 credits - I sem. - OB  |  SECS-S/06)
Course Director:
FABRIZIO IOZZI

Classes: 13 (I sem.)
Instructors:
Class 13: FABRIZIO IOZZI


Class-group lessons delivered  on campus

Mission & Content Summary

MISSION

This course covers the fundamentals of Real Mathematical Analysis. Emphasis is given to the methodological approach, with focus on theorems, proofs, and reasoning.

CONTENT SUMMARY

  • Topology.
  • Convergence of sequences and series.
  • Continuity.
  • Differentiability.
  • Riemann integral.
  • Linear algebra.

Intended Learning Outcomes (ILO)

KNOWLEDGE AND UNDERSTANDING

At the end of the course student will be able to...
  • Explain the theoretical foundations of mathematics: axioms, definitions, theorems, proofs.
  • Explain in detail, through definitions, theorems and proofs, some selected topics of Real Analysis and Linear Algebra.
  • Illustrate the structure of a mathematical reasoning through the description of the steps in a proof.

APPLYING KNOWLEDGE AND UNDERSTANDING

At the end of the course student will be able to...
  • Use selected basic computational techniques (limits, derivatives and antiderivatives, series expansions, integrals, determinants, ranks).
  • Formulate definitions, theorems and their proofs as presented in the course.
  • Justify the correctness of new statements (that is, statements that are not part of the syllabus) using the theorems, definitions and techniques learnt in class.
  • Argue about the truthfulness or fallacy of new statements, using the relevant tools in the more appropriate way.

Teaching methods

  • Face-to-face lectures
  • Exercises (exercises, database, software etc.)
  • Individual assignments

DETAILS

  • Exercises: the course material includes a collection of exercises, some of them taken from past exam papers, that help students improve their performances.
  • The class is assigned some theorems/statements to be proved as a take-home problem set.

Assessment methods

  Continuous assessment Partial exams General exam
  • Oral individual exam
    x
  • Individual assignment (report, exercise, presentation, project work etc.)
x    

ATTENDING STUDENTS

90% of the final grade is based on partial and final, 10% from the problem sets.


NOT ATTENDING STUDENTS

100% of the final grade based on the general exam.


Teaching materials


ATTENDING AND NOT ATTENDING STUDENTS

  • S. CERREIA VIOGLIO, M. MARINUCCI, E. VIGNA, Principles of Mathematics for Economics.
  • Lecture notes and exercises, available online.
Last change 20/04/2020 17:10