# Undergraduate course - Study obligations and study plans (Faculty of Mathematical and Natural Sciences)

Faculty of Mathematical and Natural Sciences , Academic year 2015-2016

Main general study obligations:

**Internal obligations (Scuola)**

**Study plan and courses: **students are required to attend lessons and practical and laboratory sessions for the internal courses featured in their study plan (the relevant information for each course can be found on the web page http://www.sns.it/didattica/scienze/ of the website of the SNS). They are also required to pass by the 31st October 2016 the corresponding examinations, which, although intermediate tests are envisaged, are held in one session. Students must attain a mark of at least 24/30 in the examinations.

**Qualification and discussions (oral examinations)**: during the academic year, students take specific tests to qualify for admission to the following year. These may consist of a test on the internal courses or an oral examination.

For the I and II years, there will be an oral test on all the internal courses, on a date set by the faculty council.

For the III year, with the exception of Mathematics students, no specific tests are envisaged, and students are required to sit the intermediate and final examinations of the internal courses of their study plan.

For the IV year, and for the III year for Mathematics students, there will be an oral examination (a discussion), on a date set by the faculty council, at which the student is required to discuss an advanced research topic.

For the V year no specific tests are envisaged, and students are required to sit the intermediate and final examinations of the internal courses of their study plan.

**Foreign languages:** the initial triennium entails attendance of the English language course and of a second course from among those envisaged by the Scuola in other languages and the passing of the final tests**,** with the aim of reaching level III in English and at least level II in a second language by the end of the III year. Foreign language **tests** must be passed by the end of the III year. Students qualifying directly fro the IV year are required to attend the English language course and a second course from among those envisaged by the Scuola, and must pass the corresponding final **tests**, to reach level III in English and level II in the other language. These objectives must be reached by the end of the V year. Those claiming to possess adequate knowledge of English and/or a second language from among those envisaged by the SNS may be exempted from attendance upon passing an appropriate examination. **During the first year of their course at the Scuola, all students must attend at least one cycle of lessons with the mother tongue teacher and take the corresponding test.**

**External obligations (Faculty)**

**Courses and lessons, calculation of the mean, weight of the internal courses: **by 31st October 2016 students must have passed the achievement tests in the university lessons envisaged in their study plan. They must achieve a mark of at least 24/30 in each examination and maintain an overall mean of at least 27/30, also taking into account the marks attained in the internal courses. The marks attained in the individual examinations contribute to the composition of the mean as a weight. For the university examinations, the weight is given by the number of credits relative to the lessons (CFU). The weight of the internal courses (excluding the **lessons with the mother tongue teacher**), which is attributed solely for the purpose of forming the mean, takes into account the overall number of hours of the course or of the modules that make it up (excluding the integrated hours of teaching), in accordance with the following scheme:

**Hours **from 20 to 24: weight 8; from 25 to 29: weight 9; from 30 to 34: weight 10; from 35 to 39: weight 11; from 40 to 44: weight 12; from 45 to 49: weight 13. From 50 onwards: weight 14

In addition:

For the Physics-Mathematics Seminar for Mathematics and Physics students of the first two years, the mark is a single one and the overall weight is 27.

For the courses of Mathematics and Physics for students of Chemistry of the first two years, the mark is a single one and the overall weight is 27.

For the courses of Mathematics and Physics for II year students of Biology , the mark is a single one and the overall weight is 16.

For the two Physics courses of the III year for Biologists, the mark is a single one and the overall weight is 13.

For the two Physics courses of the III year for Physicists, the mark is a single one and the overall weight is 14.

**III year:** students must complete the number of credits specified by the university course and have obtained their degree certificate by 31st October 2016, save for justified dispensations approved by the faculty council (taking into account in particular the attendance of schools and study trips away from the Scuola), and in any case no later than the end of 2016.

**V year:** students must complete the number of credits specified by the university course in order to obtain the *laurea magistrale *diploma*.* Internal examinations must have been passed by 31st October 2016, save for justified dispensations approved by the faculty council (taking into account in particular the attendance of schools and study trips away from the Scuola), and in any case no later than the end of 2016.

After obtaining the *laurea magistrale *diploma, in order to obtain the specialized 2nd-cycle diploma, students must take the corresponding examination by 30th November 2017. The examination consists of a public discussion of a research topic approved by the faculty council.

**DISCIPLINARY AREAS AND OBLIGATORY LESSONS**

**CHEMISTRY AND GEOLOGY **

**I year **

**Elements of Classical Mechanics and Thermodynamics** Prof. Luigi Rolandi

**Elements of Mathematics (Analysis)** Prof. Luigi Ambrosio

**Elements of Mathematics ** **( Linear Algebra)** Dr. Davide Pirino

**Seminars on the frontiers of Chemistry** Prof. Vincenzo Barone

**II year**

**Classical Electrodynamics I and II** Prof. Giuseppe La Rocca

**Elements of Mathematics for Biologists and Chemists** Prof. Andrea Mennucci

** Virtual Chemistry Laboratory **Dr. Giordano Mancini

**III year **

**Methods and models for molecular sciences **Dr. Giuseppe Brancato

**Elements of Chemistry-Physics **Dr. Dimitrios Skouteris

**IV and V year**

Two courses (for a total of at least 80 hours, consisting of one or more modules) chosen from the following:

1) the internal courses envisaged in the III, IV and V years (or PhD) from the teaching syllabus relating to Chemistry and Geology 2) the internal courses envisaged in the III, IV and V years from the teaching syllabus of another disciplinary area 3) those given at the University of Pisa. During the biennium, at least two of the four courses must be chosen within the range of the internal syllabus.

**PHYSICS**

**I year **

**Elements of Classical Mechanics and Thermodynamics** Prof. Luigi Rolandi

**Elements of Mathematics ** Prof. Luigi Ambrosio

**II year **

**Classical Electrodynamics I and II **Prof. Giuseppe La Rocca

**Introduction to the theory of representations **Prof. Angelo Vistoli

**III year **

**Statistical Mechanics **Dr. Davide Rossini

**Quantum Mechanics** Prof. Vittorio Giovannetti

**IV and V year **

For each year, two courses (for a total of at least 80 hours, consisting of one or more modules) are to be chosen as a rule from among those envisaged by the internal syllabus (PhD courses included) and the syllabus relating to the *laurea magistrale* and doctorate courses offered by the University of Pisa. During the biennium, at least two of the four courses must be chosen within the range of the internal syllabus.

**MATHEMATICS **

**I year **

**Elements of Classical Mechanics and Thermodynamics** Prof. Luigi Rolandi

**Elements of Mathematics ** Prof. Luigi Ambrosio

**II year**

**Introduction to the theory of representations **Prof. Angelo Vistoli

**Classical Electrodynamics I** Prof. Giuseppe La Rocca

**III year **

**Differential calculus on manifolds **Prof. Andrea Malchiodi

**Elliptical and modular functions **Prof. Umberto Zannier

**IV and V year**

For each year, two courses (for a total of at least 80 hours, consisting of one or more modules) are to be chosen from among those envisaged by the internal syllabus (PhD courses included), and the syllabus relating to the *laurea magistrale* and doctorate courses in Mathematics, Physics and Information Science offered by the University of Pisa. During the biennium, at least two of the four courses must be chosen within the range of the internal syllabus.

**BIOLOGICAL SCIENCES**

**I year **

**Biology** **Seminar **Prof. Antonino Cattaneo, Dr. Alessandro Cellerino, Dr. Federico Cremisi, Dr. Cristina Di Primio

**Elements of Mathematics (Linear Algebra and Analysis)**
Dr. Davide Pirino

**II year **

**Biology Laboratory I **Prof. Simona Capsoni

**Elements of Physics for Biologists **Prof. Franco Ligabue

**Elements of Mathematics for Biologists and Chemists **Prof. Andrea Mennucci

**III year **

**Introduction to the structure of matter **Prof. Giuseppe La Rocca

**Thermodynamics and statistical Physics **Prof. Giuseppe La Rocca

**Neurobiology I **Prof. Antonino Cattaneo

**Biology Laboratory II** Prof. Simona Capsoni

**IV and V year **

For each year two courses (for a total of at least 80 hours, consisting of one or more modules) are to be chosen as a rule from among all the internal courses offered.

**INFORMATION SCIENCE **

**IV year **

For each year, two courses (for a total of at least 80 hours, consisting of one or more modules) are to be chosen from the internal syllabus (PhD courses included), and the syllabus relating to the *laurea magistrale* and doctorate courses in Mathematics, Physics and Information Science offered by the University of Pisa. During the biennium, at least two of the four courses must be chosen within the range of the internal syllabus.

**Study plans**

Students of the undergraduate course are required to present a study plan for each academic year, relating to the internal and university courses for the approval of the faculty council. The study plan, which must be drawn up in conformity with the study obligations envisaged by the faculty, is to be handed in to the Servizio Segreteria Studenti (Students' Office) **by 15th November 2015**, except for the topic of the “interview” (for the III or IV year) and the title of the degree thesis or laurea magistrale thesis where applicable.

The topic of the discussion and the name of the speaker must be submitted by 30th March 2016. Any modifications to study plans must be discussed with the relevant co-ordinating lecturer and must be submitted by 30th March and approved by the faculty councils. The same deadline is valid for submitting the title and name of the speaker of *laurea magistrale *theses.

For the development and presentation of the study plans, students are requested to contact their respective co-ordinating lecturer.

**Co-ordinators for the study plans:**

Chemistry and Geology - Prof. Chiara Cappelli

Physics - Prof. Vittorio Giovannetti

Information science - Prof. Luigi Ambrosio

Mathematics - Prof. Luigi Ambrosio

Biological Sciences - Prof. Antonino Cattaneo