Scienze Ambientali | MATHEMATICAL METHODS FOR ENVIRONMENTAL SCIENCES

cod. 0512700028

MATHEMATICAL METHODS FOR ENVIRONMENTAL SCIENCES

	0512700028
	DEPARTMENT OF CHEMISTRY AND BIOLOGY "ADOLFO ZAMBELLI"
	EQF6
	ENVIRONMENTAL SCIENCES
	2022/2023

PERCORSO SHARED STUDY PATHWAY

	OBBLIGATORIO
	YEAR OF COURSE 1
	YEAR OF DIDACTIC SYSTEM 2022
	AUTUMN SEMESTER

TEACHING UNITS

SSD	CFU	HOURS	ACTIVITY	TYPE OF ACTIVITY
MAT/05	6	48	LESSONS	BASIC COMPULSORY SUBJECTS
MAT/05	3	24	EXERCISES	BASIC COMPULSORY SUBJECTS

PROFESSORS

	MARIA PIA D'ARIENZO T Curriculum
	SERAFINA LAPENTA Curriculum

EXAMS

	Exam	Date	Session
	APPELLO APRILE	17/04/2023 - 14:30	SESSIONE ORDINARIA

	Objectives
	KNOWLEDGE AND UNDERSTANDING: THE COURSE AIMS AT OFFERING, IN A CONCISE AND APPLICATION-DRIVEN MANNER, KNOWLEDGE OF THE BASIC NOTIONS OF MATHEMATICS NEEDED FOR THE ENVITOMENTAL SCIENCES. APPLYING KNOWLEDGE AND UNDERSTANDING: THE MAIN AIM IS TO MAKE STUDENTS ABLE TO GRASP THEORETICAL KNOWLEDGE AND USE IT IN APPLICATIVE SETTINGS: STUDENTS WILL BE ABLE TO SOLVE EXERCISES RELATED TO THE NOTIONS THAT ARE RELEVANT FOR THE ENVIROMENTAL SCIENCES. THE COURSE WILL AIM AT MAKING STUDENTS ABLE TO FORMALIZE CONCEPTS IN A PRECISE MANNER AND USE THE KNOWLEDGE FOR PROBLEM SOLVING AND PROBLEM POSING: STUDENTS ARE ENCOURAGED TO LEARN IN A CRITICAL WAY.

KNOWLEDGE AND UNDERSTANDING:

THE COURSE AIMS AT OFFERING, IN A CONCISE AND APPLICATION-DRIVEN MANNER, KNOWLEDGE OF THE BASIC NOTIONS OF MATHEMATICS NEEDED FOR THE ENVITOMENTAL SCIENCES.

APPLYING KNOWLEDGE AND UNDERSTANDING:

THE MAIN AIM IS TO MAKE STUDENTS ABLE TO GRASP THEORETICAL KNOWLEDGE AND USE IT IN APPLICATIVE SETTINGS: STUDENTS WILL BE ABLE TO SOLVE EXERCISES RELATED TO THE NOTIONS THAT ARE RELEVANT FOR THE ENVIROMENTAL SCIENCES. THE COURSE WILL AIM AT MAKING STUDENTS ABLE TO FORMALIZE CONCEPTS IN A PRECISE MANNER AND USE THE KNOWLEDGE FOR PROBLEM SOLVING AND PROBLEM POSING: STUDENTS ARE ENCOURAGED TO LEARN IN A CRITICAL WAY.

	Prerequisites
	BASIC NOTIONS SUCH AS SETS, FUNCTIONS, RELATIONS, FIRST AND SECOND ORDER EQUATIONS AND INEQUALITIES, BASIC FUNCTIONS (LINEAR AND QUADRATIC, POLYNOMIALS).

	Contents
	BASIC NOTIONS OF LOGIC AND SET THEORY (1 HR); FUNCTIONS IN ONE REAL VARIABLE (26 HRS); FUNCTIONS IN TWO VARIABLES (7 HRS); INTEGRATION IN ONE AND TWO VARIABLES (14 HRS); DIFFERENTIAL EQUATIONS (12 HRS); VECTORS, MATRICES, SYSTEMS OF LINEAR EQUATIONS (12 HRS). FOR EACH TOPIC, ONE THIRD OF THE TIME WILL BE DEVOTED TO EXERCISES.

	Teaching Methods
	THE COURSE INCLUDES 48 HOURS OF FRONTAL LESSON AND 24 HOURS OF EXERCISES. ATTENDANCE IS NOT MANDATORY BUT STRONGLY RECOMMENDED.

	Verification of learning
	WRITTEN AND ORAL EXAMINATION. EACH WRITTEN EXAM CONSISTS OF 6-8 EXERCISES FOR A TOTAL OF 30 POINTS. YOU ARE ADMITTED TO THE ORAL TEST BY PASSING THE WRITTEN TEST WITH AN EVALUATION OF AT LEAST 18/30. THE ORAL EXAM IS BASED ON ALL THE TOPICS COVERED DURING THE COURSE. STUDENTS MUST PROVE THAT THEY KNOW THE CONCEPTS (DEFINITIONS) COVERED DURING THE COURSE AND TO HAVE UNDERSTANDING THEM, SHOWING TO KNOW HOW TO BUILD EXAMPLES INDEPENDENTLY. LATER THE QUESTIONS WILL BE AIMED TO UNDERSTAND IF THE STUDENT CAN USE THOSE CONCEPTS AND DEFINITIONS AND KNOWS THE FUNDAMENTAL PROPERTIES SEEN DURING THE COURSE (APPLICATION OF DEFINITIONS AND THEOREMS IN PROBLEM SOLVING). A POSITIVE EVALUATION IS BETWEEN 18 AND 30. PASSING THE ORAL EXAM (18/30) IS GUARANTEED TO THE STUDENT WHO SHOWS KNOWING THE FUNDAMENTAL CONCEPTS (DEFINITIONS) AND UNDERSTANDING THEM, THROUGH THE CONSTRUCTION OF EXAMPLES. THE MAXIMUM GRADE OF 30/30 MAY BE AWARDED TO STUDENTS WHO DEMONSTRATE A COMPLETE AND IN-DEPTH KNOWLEDGE OF ALL THE TOPICS COVERED IN THE COURSE. HONORS CAN BE ATTRIBUTED TO THOSE STUDENTS WHO SHOW THAT THEY ARE ABLE TO APPLY THE KNOWLEDGE AND SKILLS ACQUIRED ALSO IN CONTEXTS OTHER THAN THOSE PROPOSED DURING THE LECTURES.

Verification of learning

WRITTEN AND ORAL EXAMINATION.

EACH WRITTEN EXAM CONSISTS OF 6-8 EXERCISES FOR A TOTAL OF 30 POINTS. YOU ARE ADMITTED TO THE ORAL TEST BY PASSING THE WRITTEN TEST WITH AN EVALUATION OF AT LEAST 18/30.

THE ORAL EXAM IS BASED ON ALL THE TOPICS COVERED DURING THE COURSE. STUDENTS MUST PROVE THAT THEY KNOW THE CONCEPTS (DEFINITIONS) COVERED DURING THE COURSE AND TO HAVE UNDERSTANDING THEM, SHOWING TO KNOW HOW TO BUILD EXAMPLES INDEPENDENTLY. LATER THE QUESTIONS WILL BE AIMED TO UNDERSTAND IF THE STUDENT CAN USE THOSE CONCEPTS AND DEFINITIONS AND KNOWS THE FUNDAMENTAL PROPERTIES SEEN DURING THE COURSE (APPLICATION OF DEFINITIONS AND THEOREMS IN PROBLEM SOLVING).

A POSITIVE EVALUATION IS BETWEEN 18 AND 30.

PASSING THE ORAL EXAM (18/30) IS GUARANTEED TO THE STUDENT WHO SHOWS KNOWING THE FUNDAMENTAL CONCEPTS (DEFINITIONS) AND UNDERSTANDING THEM, THROUGH THE CONSTRUCTION OF EXAMPLES.

THE MAXIMUM GRADE OF 30/30 MAY BE AWARDED TO STUDENTS WHO DEMONSTRATE A COMPLETE AND IN-DEPTH KNOWLEDGE OF ALL THE TOPICS COVERED IN THE COURSE. HONORS CAN BE ATTRIBUTED TO THOSE STUDENTS WHO SHOW THAT THEY ARE ABLE TO APPLY THE KNOWLEDGE AND SKILLS ACQUIRED ALSO IN CONTEXTS OTHER THAN THOSE PROPOSED DURING THE LECTURES.

	Texts
	"MATEMATICA PER LE SCIENZE DELLA VITA" DI SBORDONE C. E SBORDONE F. "APPLIED CALCULUS FOR THE MANAGERIAL, LIFE, AND SOCIAL SCIENCES", BY SOO T. TAN. (IN ENGLISH, RECOMMENDED)