Course Unit

Students will be required to show knowledge and understanding of the broad topic areas listed below. These provide contexts for the acquisition of vocabulary and the study of grammar and structures. 
VOCABULARY AND TOPIC AREAS 
Clothes and accessories; colors; countries, nationalities and languages; culture, customs and celebrations; education e.g. learning institutions, education and training, learning tools, subjects; family and friends; feelings and emotions; food and drink; interests, sports and activities; jobs; measurements e.g. size, shape, weight; numbers (cardinal, ordinal) and money; rooms and furniture; shops and places; street directions; the human body and health e.g. parts of the body, health and illness; time expressions e.g. telling the time, dates, days of the week, months, seasons; travel and transport; weather.

FUNCTIONAL SYLLABUS
Accepting/ thanking; applying for a job; asking about personal information; asking permission; buying and asking prices; describing people and objects; giving opinions; giving instructions; greeting and introducing; inviting, refusing; making suggestions; requesting, offering; talking about likes and dislikes; talking about routines; telling the time.

GRAMMAR SYLLABUS
Sounds and spelling; nouns: gender, number; irregular plural nouns; definite article; indefinite article; adjectives, first group adjectives and second group adjectives, position of adjectives; formal address; pronouns, subject pronouns and direct and indirect object pronouns; possessive adjectives; prepositions simple and prepositions with articles; interrogatives; adverbs; present tense of regular and irregular verbs; modal verbs and the verb sapere; present perfect and some verbs with an irregular past participle.

Students will be required to show knowledge and understanding of the broad topic areas listed below. These provide contexts for the acquisition of vocabulary and the study of grammar and structures. 
VOCABULARY AND TOPIC AREAS
Personal and social life: 
-at home, family, get-togethers, family reunions, dinners with friends, etc.; 
The world around us: 
-on the street, in the square, in the park, etc.; 
-at the bar, restaurant, etc.;
-at the information office, bank, post office, etc.;
-at the market and in food shops;
-in public offices (town halls, police stations, etc.);
-in various shops (clothing, newsagents, etc.);
-at the station, at the airport, etc.;
-on means of transport (by bus, taxi, etc.);
-in places of free time (cinema, theater, gym, etc.)
-in health and personal care places (hospital, pharmacy, etc.).
The world of education and work:
-in the classroom;
-in the Secretary;
-in other places related to their educational context (gym, canteen, courtyard, library, etc.);
-at your workplace.
FUNCTIONAL SYLLABUS
-ask and give personal information;
-talking about likes and dislikes;
-talking about routines;
-begin, maintain and finish a short conversation;
-accept or refuse an invitation - invite someone;
-search, ask and give information in everyday situations;
-express desires;
-introduce someone;
-describe people, objects and places;
-speak about himself and ask questions about past events; 
-speak about past events;
-express and ask questions about time and dates;
-put events in a sequence;
-express moods, feelings and emotions;
-express the wish to do something;
-ask and give the permission to do something;
-order or ban somebody to do something;
-give and understand simple instructions;
-give an explanation;
-express judgements and personal opinions;
-make simple assumptions. 
GRAMMAR SYLLABUS
-articles: definite, indefinite, partitive; definite article with titles and countries;
-nouns: gender; singular and plural forms, including common and less common irregulars;
-adjectives: position and basic exceptions; common irregular adjectives before nouns (e.g bello, buono);
-comparative and superlative adjectives (regular and irregular);
-demonstrative adjective (quello singular and plural);
-possessive with articles; exceptions (e.g. family members);
-interrogatives (e.g. che; qual/quale/quali; quanto/a, quanti/e);
-indefinite adverbs (poco, molto, tanto, troppo)
-adverbs of time and place;
-direct and indirect pronouns;
-quantifiers;
Verbs: 
-presente tense (irregular verbs);
-present perfect (avere or essere + past participle);
-imperfect;
-imperative; 
-future;
-present conditional; 
-modal verbs; 
-reflexive verbs; 

Liouville Equation in the phase space; BBGKY Hierarchy; Boltzmann Equation for hard spheres and generalizations; H-Theorem; Kinetic models; Derivation of hydrodynamic laws; Kac ring model; Markov Chain Monte Carlo; Metropolis and heat bath algorithms; phase transitions in the 2D Ising model.