English
English
University courses in Analysis and Geometry.
University courses in Analysis and Geometry.
Standard
Standard
The course will allow: To know the tools and techniques of integration in several variables: line integrals, surface and volume. To know the methods for solving differential equations. To know the tools and techniques of complex analysis and the operational calculus, Fourier and Laplace and of the integral transform. Ability to apply them insolving scientific and technological problems.
This free-choice course will allow to integrate the basic mathematical knowledge with advanced courses in mathematics related to specific bioengenerering topics.
Knowlegde of analytical and integral techniques as well as techniques of integral calculus.
The course will allow: To know the tools and techniques of integration in several variables: line integrals, surface and volume. To know the methods for solving differential equations. To know the tools and techniques of complex analysis and the operational calculus, Fourier and Laplace and of the integral transform. Ability to apply them insolving scientific and technological problems.
This free-choice course will allow to integrate the basic mathematical knowledge with advanced courses in mathematics related to specific bioengenerering topics.
Knowlegde of analytical and integral techniques as well as techniques of integral calculus.
Introductory topology elements on the real line. Introductory elements of topology in R^n. Metrical spaces. Introduction of general topology. Axioms. Open and closed sets. Closure of a set. Important topology spaces. Fourier series. Fourier transform. Distributions. General theory of partial differential equations.
Introductory topology elements on the real line. Introductory elements of topology in R^n. Metrical spaces. Introduction of general topology. Axioms. Open and closed sets. Closure of a set. Important topology spaces. Fourier series. Fourier transform. Distributions. General theory of partial differential equations.
Oral exam.
General verification of assimilation during the presentation of the course.
In order to pass the learning evaluation, the student must demonstrate that he/she has understood the advanced concepts of mathematical analysis explained in the course.
The oral exam is graded on a scale from 0 to 30.
Oral exam.
General verification of assimilation during the presentation of the course.
In order to pass the learning evaluation, the student must demonstrate that he/she has understood the advanced concepts of mathematical analysis explained in the course.
The oral exam is graded on a scale from 0 to 30.
Notes provided by the teacher.
Notes provided by the teacher.
Università Politecnica delle Marche
P.zza Roma 22, 60121 Ancona
Tel (+39) 071.220.1, Fax (+39) 071.220.2324
P.I. 00382520427