CALCULUS II - MATHEMATICAL EXERCISES
Academic year2016/17
CourseCHEMISTRY
Code280AA
Credits6
PeriodSemester 1
LanguageItalian
| Modules | Area | Type | Hours | Teacher(s) |
| ISTITUZIONI DI MATEMATICA II + ESERCITAZIONI | MAT/05 | LEZIONI | 54 | |
Programma non disponibile nella lingua selezionata
Knowledge
The students who successfully complete the course are expected to acquire:
mastery of the basic techniques of the Calculus in several variables (partial derivatives, integrals, vector fields;
a basic knowledge of finite group theory (groups of symmetry of a "molecule", basic of the theory of the matrix representations of a group);
some ability to use the theory in applications (physical applications).
Assessment criteria of knowledge
In the written exam (3 hours) as well as in the periodic written tests, the student must solve in an appropriate way the most number of the given exercises;
during the oral exam the student must be able to demonstrate his/her understanding of the course topics.
Methods:
- Final oral exam
- Final written exam
- Periodic written tests
Teaching methods
Delivery: face to face
Learning activities:
- attending lectures
- individual study
Attendance: Advised
Teaching methods:
Syllabus
Vector calculus, equations of lines, planes, curves and surfaces;
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;
applications to the theory of normal vibrations and symmetry of molecules.
Bibliography
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).
Updated: 14/11/2016 17:27
