Mathematical Methods for Economics and Finance 2018-2019



on  Thursday June 13, h. 12-13 Next office hour (place: office of prof. Fausto Gozzi): Dr. Mazzoli by appointment

On Tuesday, Jun 4 and Monday, July 1 there will be office hours of prof. Gozzi and it will be possible to do the oral exam.
Interested people should write and email to prof. Gozzi.

The oral exam starts, officially at 2 p.m. of Thursday, 23 May 2019. If someone wants to do the oral exam before she/he can come at the office of prof. Gozzi during the same morning from 9 to 10. If someone wants to her/his written exam she/he can come from 11 to 12 in the same office.

Grades and Solutions written exam of Fryday, 17 May 2019

ESITI INGLESE 18 19.xlsm – appello3


Next office hour: Tuesday May 14, h. 13.00-14.00 (place: office of prof. Fausto Gozzi) Dr. Veredice;

Next office hour: Wednesday April 10, h. 12.00-13.00 (place: office of prof. Fausto Gozzi) Dr. Mazzoli ;
Monday April 15, h. 15.00-16.00 (place: office of prof. Fausto Gozzi) Dr. Raso.

Next office hour: Friday April 5, h 2.45-3.45 pm (place: office of prof. Fausto Gozzi). Dr Veredice
on Wednesday March 13, h. 9.00-10.00 next office hour (place: office of prof. Fausto Gozzi). Dr Raso

on Tuesday March 5, h. 13-14 Next office hour (place: office of prof. Fausto Gozzi): Dr. Mazzoli

WARNING!: Next office hour (place: office of prof. Fausto Gozzi):

will take place on Thursday February 28, h. 17-18 (not 15-16 as previously mentioned). Dr. Veredice


Oral exams that will take place before the end of the winter session. We will follow the order below, unless otherwise agreed between students. Place: office of prof. Gozzi or a room which will be assigned the same day.

Tuesday, January 29, h. 15-19.
Filippo Corsini ENG R
Ludovica Nardelli ENG R
Francesca Lospennato ENG N
Salvatore Miranda ENG N
Roberto Mauloni ENG N
Guglielmo Papini ENG N?

Tuesday, February 5, h. 14-19.
Alejandra Aguilar Urquiola, ENG R
Vincenzo Comuniello,  705291, ITA R
Simone Ferri ITA R
Mario Grandinetti, ENG R
Matteo Lezzi 677931, ITA R
Salvatore Pellegrino, ITA R
Antonio Santoro, ENG R
Pasquale Ventucci, ENG R
Andrea Visconti, ENG R
Andrea Vitali, ENG/ITA R

Thursday, February 7, h.14-19
Alessandro Bechelli ITA N
Francesco Bianco ENG N
Federica Midi, mat.687511, ENG N
Matteo Mochi ITA/ENG N
Gianmauro Morelli 677871, ITA N
Stefano Tomei, ENG, N
Andrea Villecco, ITA N
Nicolo Zavarise, ENG N


At the oral exam only the people which register the grade or that take the oral exam can see the written exam. All the other can see the written exam at the office hours.

Next office hours:

Tuesday 15 January h. 9-10 (Prof. Fausto Gozzi).

More office hours will be communicated soon.


Grades, text and solutions of the exam of January 8, 2019

ESITI INGLESE 18 19.xlsm – appello2



Next office hours:

Friday January 4, h. 15-16. Dr.ssa Raso

Monday, January 7, h. ore 12.30-14 Dr.ssa Mazzoli.


At the oral exam only the people which register the grade or that take the oral exam can see the written exam. All the other can see the written exam at the office hours.

Next office hours:

Wednesday 19 December h. 9-10 (Dott.ssa Margherita Zanella)


It is possible, for those who have insufficient grades at the written exam, to make the oral exam with a reduced program.

For clarification, contact the teacher.


Grades, text and solutions of the exam of December 6, 2018

ESITI INGLESE 18 19.xlsm – appello1



Below you find:

  • The complete content of lectures of the course.
  • The revised slides of the second part.
  • The material about the Richardson model.
  • The slides of the seminars of proff. Mandredi and Parton.

Now the material is complete.


Office hours next week (place: office of prof. Fausto Gozzi):

  • Monday, December 3, h. 11.30-12.30 (Dr.ssa Margherita Zanella)
  • Tuesday, December 4, h. 18-19 (Prof. Fausto Gozzi)


During last week (26-30 November 2018) there will be:

  • an additional lecture on Tuesday, November 27, h. 12-13.30, room 209.
  • an additional TA session on Wednesday, November 28, h. 18.15-20, room 401.

All the other lectures/TA session will take place as usual. Do not give up: it is the last week!


The lecture of tomorrow (Thursday, November 22, h. 10-11.30) will be partly given by Prof. Maurizio Parton (Università di Chieti-Pescara) which will talk about

“Neural Networks and Deep Learning: recent advances in Artificial Intelligence”.

This lecture will be considered part of the course. The room is 407.


This week (November 19-23) there will be:

  • one additional TA session on Monday, November 19, h.18-20, Room A407.
  • one additional lecture on Tuesday, November 20, h. 12-14, Room A106b.

Please bring to the additional TA session and to all lectures the slides that you find below.


The lecture of next Wednesday (November 14, h. 14-16.30) will be partly given by Prof. Piero Manfredi (Università di Pisa) which will talk about

“Vaccination Choices and Mathematical Models”.

This lecture will be considered part of the course. The room is 308 instead of the usual one.


Tomorrow, in the time table, there is an additional lecture at 12-13.30. However this lecture cannot be done since there will be the Department council at the same time. We will meet at the usual lecture at 18-20, room 407. The slides for such lecture are now available below.


Now you find the slides of Tuesday, October 30 and Wednesday, October 31 in two separate files.

The slides of weeks 6-7 have been changed Monday, October 22, at 8.30. Please bring at the lectures of the week 7 the actual version.


Now you find the slides of Thursday October 18 and of the 7th week (October 23-24-25).


At the lectures of the 6th week (October 16-17-18) please bring the slides Dispeqdiff2018.


At the lectures of the 5th week (October 9-10-11) please bring the slides of the fourth week. Possibly new material will be added later.


At the lectures of the 4th week (October 2-3-4) please bring the slides of third week AND the slides of the fourth week.


Tuesday, September 25 the afternoon lecture will be given by Dr. Margherita Zanella and it will be about complex numbers.

Moreover, at the lecture of Wednesday, September 26, you have to bring the slides of second week AND the slides of the third week.


The course will start today, September h. 18-20.



The lecture of te course “Lab of software application for finance and economics” due on Monday, September 10, 2018, h.9-11,

is moved to

Friday, September 14, 2018, h.12.15-13-45.



In this page you can find, beyond all up-to-date news about the course (which are given above in inverse chronological order), the following material.

(A) Teachers and time table

(B) Office hours

(C) Textbooks

(D) Preliminary program and effective one

(E) Exam rules

(F) The material for the first part of the course

(G) The material for the second part of the course

(H) The material for the course: “Lab of software application for finance and economics”


(A) Teachers and time table.

Teacher: prof. Fausto Gozzi; Assistants: dr. Antonio Veredice and dr. Margherita Zanella;

The course starts Tuesday, September 11 and ends Friday, November 30 with the following schedule:

Tuesday 18 – 20, Room ???, LECTURE;

Wednesday 14 – 16.30 Room ???, LECTURE;

Thursday 10 – 11.30 Room ???, LECTURE;

Friday 16-18, Room ???, EXERCISES.


Students which have problems in following the course may take advantage of the so-called “academic gym”

and of the tutoring

Indeed, in the “academic gym”, 1 hour per week (see the time table on the corresponding website) will be devoted to exercises related to this course.

Moreover, within the tutoring it will be possible ask for clarifications on the prerequisites of the course which are not treated at the lectures and at the TA sessions.

The course “Lab of software application for finance and economics” will teach you how to use the proper software to solve some of the mathematical problems which you will encounter in this course.The teacher is of such course is dr. Roeland De Koek. Information about this course can be found at the web page of such course. In any case we will put in this site, in the hot news section, all news about such course and, in Section H, the didactic material.


(B) Office hours.

Fausto Gozzi: Thursday 11.30-12.30 till November 30 (Office at fifth floor). Moreover after the lectures or by appointment (to agree personally or by email at fgozzi at luiss dot it).

Antonio Veredice and Margherita Zanella: after the lectures, or by appointment: to agree personally or by email at

mzanella at luiss dot it


a_veredice at yahoo dot it.


(C) Textbooks

Main textbooks
Course: “Mathematical Methods for Economics and Finance”.
Authors: Simon, Blume,
Title: Mathematics for economists
Editor: Norton

Course: “Lab of software application for finance and economics”.
Autori: C. Pocci, G. Rotundo, R. de Kok
MATLAB for economics ans financial applications.
Maggioli Editore, 2016.

Other textbooks

Authors: Lawrence E. Spence, Arnold J. Insel, Stephen H. Friedberg Title: Elementary Linear Algebra
Editor: Pearson Education

Author: James Stewart
Title: Calculus (International Metric Edition)
Editor: Brooks/Cole; International Edition

Author: Michael C. Delfour
Title: Introduction to Optimization and Differential Calculus
Editor: SIAM


(D) Preliminary program and effective one

Here is the line to the preliminary program published on the Luiss site:

Final program of the same course of last year


Here is the program effectively taught with reference to the textbook and other didactic material.

Program Done in the first 8 weeks:


Final program:



It is fundamental to recall that the program taught or summarized at the precourse will not be repeated during the course. Such program will be part of the basic knowledge needed to understand the course. People who did not follow the precourse is invited to study carefully (solving the exercises) the material found at the precourse site.

After the first lecture we will provide you with a self-evaluation test to help you to understand better your personal knowledge. Here it is


Thursday, September 20 we will put the solutions of the test,  together with a brief guide to self-evaluation.Here it is

TEST iniziale corso Metodi 2018_2019_autovalutazione

Self -Evaluation. There are 21 questions: 8 on linear algebra, 6 on one variable calculus and 7 on series and integrals.

  • 19-21 right answers: excellent;
  • 15-18 right answers: good;
  • 12-14 right answers: sufficient;
  • 6-11 right answers: poor;
  • 0-5 right answers: very poor.

People with evaluation “poor” or “very poor” are invited to talk with the teacher or the TAs or the tutors to plan an effective recovery of the basic knowledge on the subject.


(E) Exams rules

The exam  is written and oral.

The exam is completely separated from the exam of the connected course: “Lab of software application for finance and economics”.

There will be no mid term exam.

Written test: the time available is 3 hours. The written test is divided in 2 parts (approximately 20 points each). The test is sufficient if in each part the grade is at least 7.5 and if the sum is at least 18.

If the sum is at least 18 (with each part at least 7.5) then, at the time of the oral exam the student can choose one of the following two options: either to register the grade without the oral exam (if the professor agrees) or to make the oral exam. If the student wants to register then she/he can register the minimum between its grade and 25. If she/he wants to get more than 25 she/he must take the oral exam. It is possible that the final grade after the oral exam be lower than the grade of the written test.

Important note. The choice to register the grade without taking the oral exam must be validated by the professor. For some students the professor may decide that the oral exam is needed in any case.

At the written test the student can decide to do only 1 part. In such a case she/he will have 1.5 hours to do it. As a consequence, a student may decide to do the two parts in different dates.

There are 4 standard exam dates every year (1 in December, 1 in January-February, 1 in June-July, 1 in September) and one restricted exam date (in October). The time available is 3 hours: 1.5 for each part (i.e. after 1.5 hours the students must deliver the first part and, after that, the text of the second part is given).

The written test can be repeated at each available date but every delivery cancels the previous grades. The oral exam (or the registration) can be done at every available date (but in the same academic year), not necessarily the same of the written exam.

The oral exam cancels all the previous written tests. Hence if a students does not take the vote of the oral exam she/he has to repeat the written exam.

The written test contains questions concerning both theory and exercises and it is completely “closed-book”: the students can only bring brains and pens (white sheets will be provided by the teachers). Hence no books, no sheets, no electronic devices like pocket calculators, cell phones, tablets, electronic clocks, pens or glasses, etc. People using any of such devices or violating rules will be carefully prosecuted.

The oral exam consists in various questions on the whole course, including exercises.


(F) The material for the first part of the course

(F1) Slides







(F2) Tutorials

Tutorial1_Complex_Numbers (updated)








(F3) TA sessions










(F4) More material on the first part

-Notes of the seminar of prof. Piero Manfredi


-Material on the Richardson arms race model



Matematica – Articoli – Richardson


– Notes of an old seminar of Gianna Del Corso on ranking algorithm of search engines


– Notes on phase portraits of dynamical systems



(G) The material for the second part of the course

(G1) Slides










Revised slides of the second part



(G2) Tutorials









(G3) TA Sessions









G4) More material on the second part

-Notes of the seminar of prof. Maurizio Parton



(H) The material for the course: “Lab of software application for finance and economics”.

See the web page of such course


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