**- CURRICULUM VITAE ET STUDIORUM
of Silvia Foschi**

1991 - On March 15 she graduates in Mathematics at the University of Bologna, with the score of 110/110 cum laude and with an experimental thesis entitled: "The method of Hestenes multipliers", supervisor Prof. Ilio Galligani (full professor of Numerical Analysis).

2000 - On February 18 she obtains the teaching qualification for the classes of Mathematics, Mathematics and Physics, Physics, Applied Mathematics, passing the reserved session of the competition (O.M. 33/2000), with a score of 80/80.

2000 - On November 27th she obtains the qualification to teach at the secondary school for the class of competition Mathematics, passing the ordinary competition, at the Technical Institute for Surveyors "Pacinotti", Vicolo dello Stradellaccio, 2, Bologna.

2001 - On January 16th she obtains the qualification to teach at the secondary school for the Computer class, passing the reserved competition (O.M. 33/2000) at the I.T.I. "Nullo Baldini" of Ravenna.

2005 - On September 1 she was appointed to the teaching position in the secondary school, Mathematics (A047), in the province of Rimini.

2006 - In June, at the end of the trial year, she gets the tenure of the chair at the I.T.I.S. "Leonardo da Vinci" in Rimini.

2007 - On September 1 she was appointed to the teaching position in the secondary school, Mathematics and Physics (A049), in the province of Ravenna.

2008 - In May, at the end of the trial year, she obtained the tenure of the chair (class A049) at the I.S.A. "Severini" of Ravenna.

2009 - On September 1 she obtained the transfer and then the tenure of the chair (class A049) at the Liceo Classico "Dante Alighieri" of Ravenna.

2010- On September 1st she obtains the transfer and then the titular chair (class A049) at the Liceo Scientifico "Oriani" of Ravenna.

**SPECIALIZATION COURSES**

- She attended the annual specialization course: Theory and Application to Computing Machines organized by the University of Bologna at the Cesena seat of the Degree Course in Computer Science, in via Sacchi 3, from December 1992 to May 1993 (annual course). During the course a project was realized: a hypertext entitled "Multimedia Encyclopaedic Dictionary", using the Multimedia Toolbook.

- During the academic year 1993/94 she attended the Specialization Course in Didactics of Mathematics for teachers of secondary school and of the two years of secondary school organized by the University of Bologna, at the Department of Mathematics of Bologna in Piazza S. Donato 5.

**RESEARCH ACTIVITIES**

- In 1991 she won a scholarship related to the competition of the National Council of Researches n. 201.12.611 of 17/12/1990, concerning researches within the project INFORMATIC SYSTEMS AND PARALLEL CALCULATION. The starting date of the scholarship was from December 1, 1991 to November 30, 1992, and the researches, carried out at the Department of Astronomy of the University of Bologna, concerned the theme "Access networks to supercomputers: experiments of workstations for graphic visualizations". In particular, two methods have been studied for the determination of the first and second partial derivatives of a two-dimensional function F(x, y) of class known its values in the N points of a triangularized domain in the plane: necessary step for the local reconstruction of F in each triangle of the domain, using a transfinite interpolation scheme. At the end of this fellowship a report on the research carried out was submitted to the C. N. R..

- On May 5, 1993 she stipulated a contract of professional work according to the art. 26 of the D.P.R. 382/80 with the University of Bologna, with effect from 1/1/1993 to 31/12/1993. During this period she has been engaged to lend her own work for professional activity in favor of the University of the Studies of Bologna for the requirements of the Course of Degree in Sciences of Information of Cesena of the Faculty of Sciences MM.FF.NN.. The services have regarded the use of computing systems for the treatment of the not numerical information and the scientific calculation, connected in local net and to that of the University, as well as graphic stations and systems of parallel calculation both with hypercube structure and with transputer processors.

- In 1993 she writes the article entitled Two-dimensional class interpolant with constraints, which is published in the Proceedings of the Academy of Sciences of the Institute of Bologna, Class of Physical Sciences, year 282°, Memoirs series V-N. 6, Round Table on "Knowledge by Images", held at the Academy of Sciences of Bologna, edited by Prof. Ilio Galligani, 1995.

- In 1994 she attended the Summer School Course Theory and Models of Financial Markets, which was held in Auronzo di Cadore from June 6 to 10, organized by the University of Venice.

- In 1994 she publishes on Quaderno n. 59 of the Institute of General and Financial Mathematics of the Faculty of Economics of the University of Bologna the article Regions containing the eigenvalues of a matrix and stability of a system of differential equations.

- In 1994 she publishes on Quaderno n. 60 of the Institute of General and Financial Mathematics of the Faculty of Economics of the University of Bologna the article Regions containing the eigenvalues of a matrix.

- On January 9, 1995 she holds at the Institute of General and Financial Mathematics of the Faculty of Economics of the University of Bologna a seminar on the theme Localization of eigenvalues in finite dimension.

- In 1995 she writes, in collaboration with Dr. Daniele Ritelli of the University of Bologna, the article entitled On the orbital stability of the economic growth model of Goodwin Volterra.

- In 1995 she writes, in collaboration with Dr. Daniele Ritelli of the University of Bologna, the paper, in English, entitled About stability of periodic solution of a Goodwin-Volterra-Lotka system.

- In 1995 she took part to the competition n. 201.12.77/2 for n. 14 scholarships to be used at Italian scientific institutions in the frame of the project TRASPORTI DUE for the topic Models and algorithms for the management of road maps and vehicle routing, being winner of n. 1 yearly scholarship starting from 01/09/1995, ranking 1° in the merit list, relatively to the above mentioned group with points 23,00/30, of which he has been working at the Mathematics Department of the University of Bologna, under the direction of Prof. Aristide Mingozzi. At the end of this scholarship she presented to the C. N. R. a report on his research.

- In 1996 he participated in the Conference "Functional Analysis and Applications" held in Ancona on February 12-14 at the Department of Mathematics "Vito Volterra" of the Faculty of Engineering of the University of Ancona, with a paper entitled About stability of the periodic solutions of a Goodwin-Volterra-Lotka system.

- In February 1996 the article in English entitled About stability of periodic solution of a Goodwin-Volterra-Lotka system, written in 1995, is published as Report n° 1 of the Department of Mathematics "V. Volterra" of the Faculty of Engineering of the University of Ancona.

- In 1996 she writes, in collaboration with Dr. Daniele Ritelli of the University of Bologna, the article, in English, entitled Stability properties of generalized Lotka Volterra predator prey systems.

- In March 1998 she attended a course on SAS system, held by Dr. Giovanna Galatà, at the Department of Statistics of the University of Bologna.

- In May 1998 she attended a course on the FILE MAKER program which allows the creation of relational databases, i.e. an efficient management of sets of related information, organized in such a way that it is possible to update, order, search and print them. File Maker Pro does not only allow the storage of information, but also its organization and analysis in order to obtain the desired information.

- On August 24, 1998 the undersigned signed a contract for a PROFESSIONAL ASSIGNMENT FOR WORK WITH THE UNIVERSITY OF BOLOGNA with a duration of 12 months starting from the date of stipulation, for an hourly commitment of at least 1440 hours. Within this assignment the undersigned is realizing "tailor-made" data banks of the Faculty, statistical repertories, automated procedures to allow a more rational organization within the Faculty. The realization of the service in question will consist of the following tasks:

- analysis of the needs of the Bureau;

- preparation of the basic project

- discussion of the project with the Office managers;

- preparation of the "alpha" version of the database

- experimentation of the "alpha" version

- preparation of the "beta" version of the database.

- On June 7, 1999 she signed with the Department of Mathematics of the University of Bologna a Collaboration Contract for Research, having won the competition for a Research Grant in the field of "Numerical methods for optimization problems and for the treatment of experimental data". The tutor of the research activity is Prof. Ilio Galligani and the duration of the contract is two years (with possibility of renewal upon proposal of the Department Council).

- On September 22, 1999 she participates to the Conference "Nonlinear Boundary Value Problem" at the Department of Mathematics of the University of Turin.

- From October 5 to 8, 1999 she participated in the International Conference "VI Incontro Italiano di Combinatoria Algebrica" held in Maratea-Acquafredda, in memory of Prof. Gian-Carlo Rota.

- In 2000 she writes the article Cornelia Fabri, published in March of the same year, in the book Donne nella storia nel territorio di Ravenna, Faenza e Lugo dal Medioevo al XX secolo, published by Longo Editore Ravenna.

- In 2000 she writes, in collaboration with Dr. Daniele Ritelli of the University of Bologna, the article Estimates of the period of some flat dynamical systems of bioeconomic interest, to be published in the Proceedings of the Matemates Conference of the Department of Mathematics for Economic and Social Sciences of the University of Bologna.

- From 16 to 17 October 2000 she participates to the Matemates Conference of the Mathematics Department for the Economic and Social Sciences of the University of Bologna with a paper entitled Estimates of the period of some dynamic systems of bioeconomic interest.

- 2002: she writes, in collaboration with Dr. Daniele Ritelli of the University of Bologna, and Dr. Giovanni Zingari Scarpello, the article Higher order approximation of the Period Function for single degree of freedom Hamiltonian Systems.

- 2002: she writes the article entitled Gravitational oscillator in collaboration with Dr. Daniele Ritelli of the University of Bologna, and Dr. Giovanni Mingari.

-2004: is published the article entitled Highe Order Approximation of the period-energy Function for Single Degree of Freedom Hamiltonian System written in collaboration with prof. Daniele Ritelli of the University of Bologna, and Dr. Giovanni Mingari, in the journal Meccanica 39, Kluwer Academic Publishers, Printed in the Netherlands.

2021: on March 16 she publishes, in collaboration with Prof. Daniele Ritelli, the article "The Lambert Function, the quintic equation and the proactive discovery of the Implicit Function Theorem", Open Journal of Mathematical Science, Pakistan.

**TEACHING ACTIVITIES AT THE UNIVERSITY OF BOLOGNA**

- From A.A. 1991/92 to A.A. 1999/2000 ( for a total of 9 years ) she carried out scientific-didactic activities at the seat of Cesena (Fo), in Via Sacchi 3, of the Degree Course in Computer Science of the University of Bologna, teaching Algebra and Geometry, and taking part, as an expert, to the relative examination committees.

- From A.A. 1994/95 to A.A. 1999/2000 ( for a total of 6 years ) she worked at the Institute of General and Financial Mathematics of the Faculty of Economics of the University of Bologna, giving lectures in the course of General Mathematics and taking part in the relative exam boards.

- From the A.A. 1995/96 to the A.A. 2008-2009 (for a total of 14 years) she held the lessons of the Precorso di Matematica Generale organized by the Faculty of Economics of the University of Bologna for the first year students: these lessons concerned the review of the main mathematical topics fundamental for the understanding of the General Mathematics Course.

- In 1995 she wrote an article with the title "Valutazione didattica dei Precorsi di Matematica" (Didactic evaluation of Mathematics courses) in the frame of a project for the didactic innovation of the University, coordinated by the Department of Educational Sciences of the University of Bologna.

- In 1996 she writes a didactic publication, entitled: Precorso di MATEMATICA GENERALE (Edizioni Nautilus-Bologna) concerning the lessons that he held in September 1996 in the Precorso di Matematica Generale of the Faculty of Economics of the University of Bologna for freshmen.

- In January 1998 she writes the book entitled Corso propedeutico di matematica, published by Pitagora Editrice, Bologna.

- In the academic years 1998/99 and 1999/2000 (for a total of 2 years) she has been teaching at the Institute of General and Financial Mathematics of the Faculty of Economics of the University of Bologna, collaborating to the regular course of Mathematics for Economics and taking part in the related exam boards.

-In the academic year 1999/2000, 2000/2001 and 2001/2002 (for a total of 3 years) she collaborated with Consorzio Nettuno in the field of the didactic initiatives of the Teleuniversity project. In particular she has carried out activities of assistance to the students at the Technological Pole of Bologna for the didactic services of the University Diploma in Economy and Administration of the Enterprises and of Economy and Management of the Tourist Services of the Technological Pole, relatively to the course Methods and Models for the Economic Planning.

- In October 2002 it comes published from Pitagora Editrice, Bologna, the second edition of the book from the title Course propedeutico of mathematics.

- On October 2, 10 and 11, 2002, she took part in the final exams of the IFTS "Logista Commerciale" course, approved by regional resolution n. 2351 of 07/12/1999, representing the University of Bologna (Faculty of Economics) as an examiner.

- In the A.A. 2002/2003, (for 1 year) as contract professor, she holds the course of Computer Skills, with annexed examination sessions, at the Faculty of Industrial Chemistry, Course of Study in Chemistry of Materials and Ceramic Technologies, seat of Faenza (Ra).

- In the A.A. 2003/2004, as an expert sent by the University of Bologna, she held the 70-hour course (from October 2003 to March 2004) "Institutions of Mathematics and Statistics" within the I.F.T.S.- Fortis Course n. 2002-0321. Fortis n. 2002-0321/Rer "Higher Technician for the economic-financial administration and management control", at the Professional Training Center "S. Cuore" Managing Body Association "Opere S. Cuore - F. P. -A.C.A.", Corso Garibaldi, 65, Lugo (Ra).

- In the A.A. 2005/2006, as an expert sent by the University of Bologna, she held the 70-hour course "Institutions of Mathematics and Statistics" within the I.F.T.S.- Fortis Course n. 2002-0321. Fortis n. 2002-0321/Rer "Higher Technician for the economic-financial administration and management control", at the Professional Training Center "S. Cuore" Managing Body Association "Opere S. Cuore - F. P. -A.C.A.", Corso Garibaldi, 65, Lugo (Ra). - In the A.A. 2007/2008, as an expert sent by the University of Bologna, he held the course of 70 hours ("Institutions of Mathematics and Statistics" within the I.F.T.S.- Fortis Course n. 2002-0321. Fortis n. 2002-0321/Rer "Higher Technician for economic-financial administration and management control", at the Professional Training Center "S. Cuore" Managing Body Association " Opere S. Cuore - F. P. -A.C.A.", Corso Garibaldi, 65, Lugo (Ra).

- In the academic years 2015/2016 , 2016/2017 and 2018/19 (for a total of 3 academic years) she has been tutoring at the School of ECONOMICS, MANAGEMENT and STATISTICS with a contract of 30 hours for the teaching "Laboratory of Mathematics for the fulfillment of OFA" CLASS course, teacher Prof. Daniele Ritelli.

- In A.A. 2015/2016 , 2016/2017, 2017/18, 2018/19, 2019-20 and 2020-21 (for a total of 6 academic years) she carried out TUTORING activities at the School of ECONOMICS, MANAGEMENT and STATISTICS for the Teaching "GENERAL MATHEMATICS" course CLEA, reference teacher Prof. Piero Plazzi in the first 5 years, Prof. Fabrizio Lillo and Prof. Natascia Angelini in the last year.

- In 'A.A. 2016/2017 she held the PROPEDEUTIC COURSE of MATHEMATIC ANALYSIS (called "Mathematical Analysis second round") at the School of ECONOMICS, MANAGEMENT and STATISTICS with a contract of 15 hours for the Teaching " Mathematical Analysis" CLASS course, reference teacher Prof. Daniele Ritelli.

- In the A.Y. 2017/2018 and 2018/19 she taught the TEACHING: CRASH COURSE IN MATHEMATIC ANALYSIS [cod. 85094], as a contract professor, at the School of Economics, Management and Statistics, CLASS course.

- In the A.Y. 2017/2018 she has carried out TUTORING activities at the School of ECONOMICS, MANAGEMENT and STATISTICS with a contract of 15 hours for the Teaching " Mathematical Analysis" CLASS course, reference teacher Prof. Daniele Ritelli.

- In the academic years 2019/2020 and 2021/21 (for a total of 2 academic years) she carried out TUTORING activities of "Mathematical Analysis" at the School of ECONOMICS, MANAGEMENT and STATISTICS for the Teaching " Mathematical Analysis" CLASS course, reference professor Prof. Daniele Ritelli.

- In the A.Y. 2019/2020 and 2021-21 (for a total of 2 academic years) she held the TEACHING COURSE: Institutions of Mathematics 1 [cod. 65926] (Department of Biological, Geological and Environmental Sciences, Bachelor of Science in Environmental Sciences, Ravenna campus) as an adjunct professor.

- In the A.Y. 2020/21 she held the position of Tutor "Pre-course of Mathematics" (code 33608), Department of Biological, Geological and Environmental Sciences, Degree Course in Environmental Sciences, Ravenna campus.

In A.Y. 2020/2021 she tutored "ALIGNMENT ACTIVITIES IN MATHEMATICS [cod. 92419]" for the course METHODS AND MATHEMATICAL MODELS FOR FINANCE/METHODS FOR FINANCE [cod. 87575], Laurea Magistrale in Finance, Intermediaries and Markets, professor Prof. Daniele Ritelli.

**TEACHING ACTIVITIES AT THE UNIVERSITY OF FERRARA**

-During the A.A. 2000/2001 (for 1 year) she has held the course of exercises of Financial Mathematics of the Faculty of Economics (teacher of the course Prof. D. Ritelli), taking part in the relative exam boards.

**DIDACTIC ACTIVITY AT THE UNIVERSITY OF MODENA AND REGGIO EMILIA**

- In the A.A. 2000/2001 (for 1 year) she has held the course of exercises of Numerical Calculation of the Faculty of Engineering (teacher of the course Prof. Emanuele Galligani), taking part to the relative exam commissions.

**DIDACTIC ACTIVITY IN HIGH SCHOOL**

Since September 1, 2005 she is a permanent teacher in the upper secondary school, having obtained the qualification to teach Mathematics, Physics, Applied Mathematics, Computer Science.

Since A.S. 2010/2011 she teaches Mathematics and Physics (class A049) at the Liceo Scientifico "Alfredo Oriani" in Ravenna.