I. To acquire knowledge, techniques, and methods regarding ordinary differential equations and their applications.
II. To acquire knowledge of the concepts, techniques, and methods related to the theory of classical integration on R^n—and, in particular, on curves and surfaces in R^3—along with the relevant applications to physics.
Curriculum
teacher profile teaching materials
Riemann integration theory, including change of variables in integrals.
Curves, surfaces, flows. Differential forms and work. Integral theorems of vector calculus.
Giusti Analisi Matematica 2
Programme
Ordinary differential equations: existence and uniqueness; dependence on initial data. Qualitative analysis.Riemann integration theory, including change of variables in integrals.
Curves, surfaces, flows. Differential forms and work. Integral theorems of vector calculus.
Core Documentation
Chierchia Analisi Matematica -nGiusti Analisi Matematica 2
Reference Bibliography
Chierchia Analisi Matematica -n Giusti Analisi Matematica 2Attendance
Attendance is optional and the understanding of the text adopted is sufficient for the full use of the course. Of course, attendance is desirable and STRONGLY recommended, as the interaction between teacher and students is a fundamental and unrepeatable teaching tool.Type of evaluation
The evaluation is based on a written test and an oral exam. There are two written tests "in progress" which, in the event of a positive outcome, replace the final written test. Examples of tests of past years will be available on the web site dedicated to the course which will be constantly updated by the teacher. teacher profile teaching materials
Riemann integration theory, including change of variables in integrals.
Curves, surfaces, flows. Differential forms and work. Integral theorems of vector calculus.
Giusti Analisi Matematica 2
Programme
Ordinary differential equations: existence and uniqueness; dependence on initial data. Qualitative analysis.Riemann integration theory, including change of variables in integrals.
Curves, surfaces, flows. Differential forms and work. Integral theorems of vector calculus.
Core Documentation
Chierchia Analisi Matematica -nGiusti Analisi Matematica 2
Reference Bibliography
Chierchia Analisi Matematica -n Giusti Analisi Matematica 2Attendance
Attendance is optional and the understanding of the text adopted is sufficient for the full use of the course. Of course, attendance is desirable and STRONGLY recommended, as the interaction between teacher and students is a fundamental and unrepeatable teaching tool.Type of evaluation
The evaluation is based on a written test and an oral exam. There are two written tests "in progress" which, in the event of a positive outcome, replace the final written test. Examples of tests of past years will be available on the web site dedicated to the course which will be constantly updated by the teacher.