I. To acquire technics and methods regarding inverse and implicit functions in R^n with applications to constrained problems.
II. To acquire a good knowledge of the concepts and methods in the classical integration theory on R^n, and, in particular, on curves and surfaces in R^3 with corresponding applications in Physics.
II. To acquire a good knowledge of the concepts and methods in the classical integration theory on R^n, and, in particular, on curves and surfaces in R^3 with corresponding applications in Physics.
Curriculum
teacher profile teaching materials
Inverse/implicit function theorem and application to the calculus of constrained problems.
Riemann integration theory, including change of variables in integrals.
Curves, surfaces, flows, and the divergence theorem.
Differential forms and work.
Giusti Analisi Matematica 2
Programme
Ordinary differential equations: existence and uniqueness; dependence on initial data.Inverse/implicit function theorem and application to the calculus of constrained problems.
Riemann integration theory, including change of variables in integrals.
Curves, surfaces, flows, and the divergence theorem.
Differential forms and work.
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
Inverse/implicit function theorem and application to the calculus of constrained problems.
Riemann integration theory, including change of variables in integrals.
Curves, surfaces, flows, and the divergence theorem.
Differential forms and work.
Giusti Analisi Matematica 2
Programme
Ordinary differential equations: existence and uniqueness; dependence on initial data.Inverse/implicit function theorem and application to the calculus of constrained problems.
Riemann integration theory, including change of variables in integrals.
Curves, surfaces, flows, and the divergence theorem.
Differential forms and work.
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.