30448 - MATHEMATICS - MODULE 1 (THEORY AND METHODS)
Course taught in English
Go to class group/s: 13
This course covers the fundamentals of Real Mathematical Analysis. Emphasis is given to the methodological approach, with focus on theorems, proofs, and reasoning.
- Convergence of sequences and series.
- Riemann integral.
- Linear algebra.
- 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.
- 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.
- Face-to-face lectures
- Exercises (exercises, database, software etc.)
- Individual assignments
- 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.
|Continuous assessment||Partial exams||General exam|
90% of the final grade is based on partial and final, 10% from the problem sets.
100% of the final grade based on the general exam.
- S. CERREIA VIOGLIO, M. MARINUCCI, E. VIGNA, Principles of Mathematics for Economics.
- Lecture notes and exercises, available online.