Carmine MONETTA | MATHEMATICS I

cod. 0612200001

MATHEMATICS I

	0612200001
	DIPARTIMENTO DI INGEGNERIA INDUSTRIALE
	EQF6
	CHEMICAL ENGINEERING
	2022/2023

CURRICULUM FOOD ENGINEERING

	OBBLIGATORIO
	YEAR OF COURSE 1
	YEAR OF DIDACTIC SYSTEM 2016
	AUTUMN SEMESTER

TEACHING UNITS

	SSD	CFU	HOURS	ACTIVITY	TYPE OF ACTIVITY
	MAT/05	9	90	LESSONS	BASIC COMPULSORY SUBJECTS

PROFESSORS

	MARIA TOTA T Curriculum
	CARMINE MONETTA Curriculum

	Objectives
	KNOWLEDGE AND UNDERSTANDING: THE STUDENT HAS TO LEARN THE FUNDAMENTAL FACTS OF MATHEMATICAL ANALYSIS AND LINEAR ALGEBRA, IN PARTICULAR SETS OF NUMBERS, REAL-VALUED FUNCTIONS, SEQUENCES OF REAL NUMBERS, LIMITS OF REAL-VALUED FUNCTIONS, CONTINUOUS FUNCTIONS, DERIVATIVES OF REAL-VALUED FUNCTIONS, THE FUNDAMENTAL THEORY OF DIFFERENTIAL CALCULATION, THE GRAPHIC STUDY OF A FUNCTION, MATRICES AND LINEAR SYSTEMS. VECTOR SPACES. EIGENVALUES AND DIAGONALIZATION. ANALYTIC GEOMETRY. APPLYING KNOWLEDGE AND UNDERSTANDING – ENGINEERING ANALYSIS: THE STUDENT HAS TO DEVELOP IN A RIGOROUS AND COHERENT WAY A MATHEMATICAL ARGUMENT, APPLY THE THEOREMES AND THE STUDIED RULES TO SOLVING PROBLEMS. HE HAS TO BE ABLE TO MAKE CALCULATIONS WITH LIMITS, DERIVATIVES AND INTEGRALS (BOTH UNDEFINED AND DEFINED). APPLYING KNOWLEDGE AND UNDERSTANDING – ENGINEERING DESIGN: THE STUDENT HAS TO PRESENT A DEMONSTRATION WITH MATHEMATICAL RIGOR. HE HAS TO KNOW HOW TO BUILD METHODS AND PROCEDURES TO SOLVE PROBLEMS. MAKING JUDGMENTS - ENGINEERING PRACTICE: THE STUDENT HAS TO KNOW HOW TO APPLY KNOWLEDGE ACQUIRED TO DIFFERENT CONTEXTS FROM THOSE PRESENTED DURING THE COURSE. COMMUNICATION SKILLS – TRANSVERSAL SKILLS: THE STUDENT HAS TO KNOW HOW TO WORK IN THE GROUP. HE HAS TO KNOW HOW TO ORGANIZE THE ARGUMENTS OBJECT OF THE COURSE. LEARNING SKILLS – TRANSVERSAL SKILLS: THE STUDENT HAS TO DEVELOP THE LEARNING SKILLS THAT WILL BE NECESSARY FOR INSERTING HIM IN THE FOLLOWING STUDIES WITH A HIGH AUTONOMY OF STUDY, AND CRITICALLY FACE MORE GENERAL PROBLEMS.

KNOWLEDGE AND UNDERSTANDING:

THE STUDENT HAS TO LEARN THE FUNDAMENTAL FACTS OF MATHEMATICAL ANALYSIS AND LINEAR ALGEBRA, IN PARTICULAR SETS OF NUMBERS, REAL-VALUED FUNCTIONS, SEQUENCES OF REAL NUMBERS, LIMITS OF REAL-VALUED FUNCTIONS, CONTINUOUS FUNCTIONS, DERIVATIVES OF REAL-VALUED FUNCTIONS, THE FUNDAMENTAL THEORY OF DIFFERENTIAL CALCULATION, THE GRAPHIC STUDY OF A FUNCTION, MATRICES AND LINEAR SYSTEMS. VECTOR SPACES. EIGENVALUES AND DIAGONALIZATION. ANALYTIC GEOMETRY.

APPLYING KNOWLEDGE AND UNDERSTANDING – ENGINEERING ANALYSIS:

THE STUDENT HAS TO DEVELOP IN A RIGOROUS AND COHERENT WAY A MATHEMATICAL ARGUMENT, APPLY THE THEOREMES AND THE STUDIED RULES TO SOLVING PROBLEMS. HE HAS TO BE ABLE TO MAKE CALCULATIONS WITH LIMITS, DERIVATIVES AND INTEGRALS (BOTH UNDEFINED AND DEFINED).

APPLYING KNOWLEDGE AND UNDERSTANDING – ENGINEERING DESIGN:

THE STUDENT HAS TO PRESENT A DEMONSTRATION WITH MATHEMATICAL RIGOR. HE HAS TO KNOW HOW TO BUILD METHODS AND PROCEDURES TO SOLVE PROBLEMS.

MAKING JUDGMENTS - ENGINEERING PRACTICE:

THE STUDENT HAS TO KNOW HOW TO APPLY KNOWLEDGE ACQUIRED TO DIFFERENT CONTEXTS FROM THOSE PRESENTED DURING THE COURSE.

COMMUNICATION SKILLS – TRANSVERSAL SKILLS:

THE STUDENT HAS TO KNOW HOW TO WORK IN THE GROUP. HE HAS TO KNOW HOW TO ORGANIZE THE ARGUMENTS OBJECT OF THE COURSE.

LEARNING SKILLS – TRANSVERSAL SKILLS:

THE STUDENT HAS TO DEVELOP THE LEARNING SKILLS THAT WILL BE NECESSARY FOR INSERTING HIM IN THE FOLLOWING STUDIES WITH A HIGH AUTONOMY OF STUDY, AND CRITICALLY FACE MORE GENERAL PROBLEMS.

	Verification of learning
	THERE WILL BE WRITTEN EXERCISES AND AN ORAL INTERVIEW. WRITTEN EXERCISES: IT CONSISTS IN SOLVING TYPICAL PROBLEMS. SCORES ARE EXPRESSED ON A SCALE FROM 1 TO 30. TO PASS THE EXAM A MINIMUM SCORE OF 18 IS REQUIRED. ORAL INTERVIEW: IT AIMS AT EVALUATING THE KNOWLEDGE OF ALL TOPICS, AND COVERS DEFINITIONS, THEOREM PROOFS, EXERCISE SOLVING. FINAL EVALUATION: THE FINAL MARK, EXPRESSED ON A SCALE FROM 18 TO 30 (POSSIBLY WITH LAUDEM), DEPENDS ON THE MARK OF THE WRITTEN EXAM, WITH CORRECTIONS IN EXCESS OR DEFECT ON THE BASIS OF THE ORAL INTERVIEW. CRITERION CORRESPONDING TO THE ACHIEVEMENT OF A MINIMUM THRESHOLD TO PASS THE EXAM: THE KNOWLEDGE BASIS IS ACCEPTABLE IN RELATION TO SOME OF THE PROGRAM CONTENT. THE ABILITY TO SOLVE PROBLEMS EXTENDS TO SIMPLE "STANDARD" PROBLEMS, FOLLOWING ROUTINE PROCEDURES. TRANSFERABLE SKILLS ARE RUDIMENTAL. CRITERION CORRESPONDING TO THE ACHIEVEMENT OF THE EXCELLENCE: THE KNOWLEDGE BASE COVERS THE ENTIRE PROGRAM. THE CONCEPTUAL UNDERSTANDING IS FULL AND DEEP. TROUBLESHOOTING PROCEDURES ARE ADEQUATE TO THE NATURE OF THE PROBLEM. PERFORMANCE IN TRANSFERABLE SKILLS IS GENERALLY VERY GOOD.

Verification of learning

THERE WILL BE WRITTEN EXERCISES AND AN ORAL INTERVIEW.

WRITTEN EXERCISES: IT CONSISTS IN SOLVING TYPICAL PROBLEMS. SCORES ARE EXPRESSED ON A SCALE FROM 1 TO 30. TO PASS THE EXAM A MINIMUM SCORE OF 18 IS REQUIRED.

ORAL INTERVIEW: IT AIMS AT EVALUATING THE KNOWLEDGE OF ALL TOPICS, AND COVERS DEFINITIONS, THEOREM PROOFS, EXERCISE SOLVING.

FINAL EVALUATION: THE FINAL MARK, EXPRESSED ON A SCALE FROM 18 TO 30 (POSSIBLY WITH LAUDEM), DEPENDS ON THE MARK OF THE WRITTEN EXAM, WITH CORRECTIONS IN EXCESS OR DEFECT ON THE BASIS OF THE ORAL INTERVIEW.

CRITERION CORRESPONDING TO THE ACHIEVEMENT OF A MINIMUM THRESHOLD TO PASS THE EXAM:
THE KNOWLEDGE BASIS IS ACCEPTABLE IN RELATION TO SOME OF THE PROGRAM CONTENT.
THE ABILITY TO SOLVE PROBLEMS EXTENDS TO SIMPLE "STANDARD" PROBLEMS, FOLLOWING ROUTINE PROCEDURES.
TRANSFERABLE SKILLS ARE RUDIMENTAL.

CRITERION CORRESPONDING TO THE ACHIEVEMENT OF THE EXCELLENCE:
THE KNOWLEDGE BASE COVERS THE ENTIRE PROGRAM. THE CONCEPTUAL UNDERSTANDING IS FULL AND DEEP.
TROUBLESHOOTING PROCEDURES ARE ADEQUATE TO THE NATURE OF THE PROBLEM.
PERFORMANCE IN TRANSFERABLE SKILLS IS GENERALLY VERY GOOD.

	Texts
	THEORY - P. MARCELLINI - C. SBORDONE, "ANALISI MATEMATICA UNO", LIGUORI EDITORE (1996). - C. DELIZIA, P. LONGOBARDI, M. MAJ, C. NICOTERA, "MATEMATICA DISCRETA", MCGRAW-HILL (2009). EXERCISES - P. MARCELLINI - C. SBORDONE, "ESERCITAZIONI DI MATEMATICA I - VOL. 1 E 2", LIGUORI EDITORE (2016). - C. DELIZIA, P. LONGOBARDI, M. MAJ, C. NICOTERA, "MATEMATICA DISCRETA", MCGRAW-HILL (2009).

	More Information
	THE COURSE LANGUAGE IS ITALIAN. CONTACT THE LECTURER AT MTOTA@UNISA.IT

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Carmine MONETTA | MATHEMATICS I