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Study-unit MATHEMATICAL ANALYSIS

Course name Informatics
Study-unit Code GP004139
Location PERUGIA
Curriculum Comune a tutti i curricula
Lecturer Antonio Boccuto
CFU 12
Course Regulation Coorte 2017
Supplied 2017/18
Supplied other course regulation
Type of study-unit Obbligatorio (Required)
Type of learning activities Attività formativa integrata
Partition

MATHEMATICAL ANALYSIS - MOD. I

Code GP004146
Location PERUGIA
CFU 6
Lecturer Antonio Boccuto
Lecturers
  • Antonio Boccuto - Didattica Ufficiale
Hours
  • 42 Hours - Didattica Ufficiale - Antonio Boccuto
Learning activities Base
Area Formazione matematico-fisica
Sector MAT/05
Type of study-unit Obbligatorio (Required)
Language of instruction ENGLISH
Contents Elementary functions, inequalities.
Greatest lower and least upper bounds. Limits and main properties.
Continuity and discontinuity points. Main theorems on continuous
functions.
Derivatives and main theorems.
Main properties of series and different types.
Reference texts See the material in the web page
http://dmi.unipg.it/boccuto
and the didactic notes of Prof. Boccuto
See also some texts from ZWIRNER, VINTI, DEMIDOVIC
See also R. T. SMITH - R. B. MINTON, Calculus, Third Edition, McGraw -Hill, 2008
Educational objectives The aims of the Course is to give the basic tools for the calculus of limits, derivatives, study of functions, series and to learn different methods.
Prerequisites Basic notion, trigonometry, elementary functions
Teaching methods Theorical lectures with examples and exercises.
Written and oral examination.
Other information It is very important and fundamental to attend the lectures.
Learning verification modality Written and oral examination
Extended program Elementary functions, inequalities.
Greatest lower and least upper bounds. Limits and main properties.
Continuity and discontinuity points. Main theorems on continuous
functions.
Derivatives and main theorems.
Main properties of series and different types.

MATHEMATICAL ANALYSIS - MOD. II

Code GP004147
Location PERUGIA
CFU 6
Lecturer Antonio Boccuto
Lecturers
  • Antonio Boccuto - Didattica Ufficiale
Hours
  • 42 Hours - Didattica Ufficiale - Antonio Boccuto
Learning activities Base
Area Formazione matematico-fisica
Sector MAT/05
Type of study-unit Obbligatorio (Required)
Language of instruction ENGLISH
Contents Integrals, main properties and applications.
Complex numbers. Taylor formula.
Functions of several variables. Hessian. Eigenvalues.
Ordinary differential equations of separable variables and linears.
Applications to Physics.
Important integrals useful for Calculus of Probabilities.

Double integrals.
Reference texts Integrals, main properties and applications.
Complex numbers. Taylor formula.
Functions of several variables. Hessian. Eigenvalues.
Ordinary differential equations of separable variables and linears.
Applications to Physics.
Important integrals for Calculus of Probabilities.
Educational objectives The aim of the course is to give different techniques and methods of calculus for integrals, differential equations and problems of maxima and minima for functions of two or three variables, with applications to problems of Physics.
Prerequisites The Course of Mathematical Analysis I Modulus (that is, first part)
Teaching methods Theoretical lectures with examples and exercises. Written and oral examinations.
Other information It is very important and fundamental to attend the lectures.
Learning verification modality Written and oral examination.
Extended program Integrals, main properties and applications.
Complex numbers. Taylor formula.
Functions of several variables. Hessian. Eigenvalues.
Ordinary differential equations of separable variables and linears.
Applications to Physics.
Important integrals useful for Calculus of Probabilities.

Double integrals.
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