Delivery: face to face

Attendance: Advised

Learning activities:

• attending lectures
• individual study

Teaching methods:

• Lectures
• Other

Vector calculus, equations of lines, planes, curves and surfaces; curves; functions of several variables: limits, continuity, partial derivatives, the main theorems and their applications to the study of local maxima and minima, with or without constrains; line integrals, vector fields, work, conservative vector fields; multiple integrals, change of variables and methods of calculations; basic group theory, groups of symmetry, matrix representations of groups; something on irreducible representations and their characters; applications.

Recommended reading includes: Adams, Calcolo Differenziale 2. Other suggested reading: Fano, Istituzioni di Matematiche 2; O. Salvetti, M.Salvetti, Note di Matematica (per Chimici) (Teoria dei gruppi a Applicazioni).

Methods:

• Final oral exam
• Final written exam
• Periodic written tests

In the written exam (3 hours) as well as in the periodic written tests, the student must solve in an appropriate way the majority of the given exercises; during the oral exam the student must be able to demonstrate his/her understanding of the main topics and methods given in the course.