Course 2017-2018 a.y.

30400 - MATHEMATICS AND STATISTICS - MODULE 1 (MATHEMATICS)


BEMACS
Department of Decision Sciences

Course taught in English


Go to class group/s: 25

BEMACS (8 credits - I sem. - OB  |  SECS-S/06)
Course Director:
EMANUELE BORGONOVO

Classes: 25 (I sem.)
Instructors:
Class 25: EMANUELE BORGONOVO


Course Objectives
The purpose of this course is to teach the student the basic notions of calculus, linear algebra and discrete mathematics together with the basic techniques and applications that accompany them.

Intended Learning Outcomes
Click here to see the ILOs of the course

Course Content Summary
  • Mathematical logic.
  • Elements of topology of the real line.
  • Functions. Real functions of a real variable. Injective, surjective functions. Inverse functions. Maxima, minima. Concave and convex functions.
  • Limits of real functions. Theorems about limits. Fundamental limits. Continuity.
  • Derivative, differential. Theorems of differential calculus. Taylor's theorem. Extrema of functions.
  • Riemann definite integral. Properties. Integrable functions.
  • Antiderivatives & indefinite integrals. Integration techniques. The FToC.
  • Generalized integrals.
  • Relations. Cardinality of sets. Counting and discrete probability.
  • Sequences, recursive Sequences and difference equations.
  • Numerical Series. Series of functions.
  • Matrices. Operations with matrices.
  • Inverse matrix. Rank of a matrix. Determinant. Simultaneous equations.
  • Numerical linear algebra with Matlab.

Teaching methods
Click here to see the teaching methods

Assessment methods
Click here to see the assessment methods

Detailed Description of Assessment Methods
For attending students
Grading percentages is:
  • 20% on completion of problem sets.
  • 10% on completion of Matlab problem sets.
  • 70% on two written exams.
Each written exam (midterm and final) contains a mix of open ended and multiple choice questions. The exam is closed book. Students are required to solve numerical and theoretical exercises, give definitions and prove theorems.

For non attending students
Grading is based on a written examination with a mix of open ended and multiple choice questions. The exam is closed book. Students are required to solve numerical and theoretical exercises, give definitions and prove theorems.


Textbooks
  • S. Cerreia Vioglio, M. Marinacci, E. Vigna, Principles of Mathematics for Economics.
  • Other materials provided online.
Last change 13/06/2017 12:09