To acquire a good knowledge of the main theorems of the Mathematical Analysis in R and of the corresponding methods of proof.
Curriculum
teacher profile teaching materials
Giusti, E.: Esercizi e complementi di Analisi Matematica, Volume Primo, Bollati Boringhieri, 2000
Programme
see: https://www.mat.uniroma3.it/users/chierchia/AM120_25_26/AM120_25_26.htmCore Documentation
Chierchia, L.: Analisi su ℝ. Guida ai principi dell'analisi matematica McGraw-Hill, 2025, 250 pagineGiusti, E.: Esercizi e complementi di Analisi Matematica, Volume Primo, Bollati Boringhieri, 2000
Reference Bibliography
[C] Chierchia, L.: Analisi su ℝ. Guida ai principi dell'analisi matematica McGraw-Hill, 2025, 250 pagine Altri testi [C2019] Chierchia, L.: Corso di analisi, prima parte. Una introduzione rigorosa all'analisi matematica su ℝ McGraw-Hill, 2019, 390 pagine [R] Rudin, W.: Principles of Mathematical Analysis, Third Edition, McGraw Hill, 1976 [O] John M.H. Olmsted The Real Number System , 1962, 216 pages Esercizi [Rm3.x] Esercizi@RomaTre.x [Rm3.y] Esercizi@RomaTre.y [UTV] Esercizi@Tor Vergata [AB] Amar, M.; Bersani, A.: Analisi Matematica I, Esercizi e richiami di teoria, LaDotta, 2013 [B] Bramanti, M.: Esercitazioni di Analisi Matematica 1 Esculapio, 2011 [GE] Giusti, E.: Esercizi e complementi di Analisi Matematica, Volume Primo, Bollati Boringhieri, 2000Attendance
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
Programme
Integration and differentiation in higher dimension.Core Documentation
Marcellini-Sbordone, Analisi II.Type of delivery of the course
Lessons in the classroom.Attendance
See lecturerType of evaluation
Written and oral examination; who passes the two classworks during the course doesn't need to take the written examination at the end. teacher profile teaching materials
Giusti, E.: Esercizi e complementi di Analisi Matematica, Volume Primo, Bollati Boringhieri, 2000
Programme
see: https://www.mat.uniroma3.it/users/chierchia/AM120_25_26/AM120_25_26.htmCore Documentation
Chierchia, L.: Analisi su ℝ. Guida ai principi dell'analisi matematica McGraw-Hill, 2025, 250 pagineGiusti, E.: Esercizi e complementi di Analisi Matematica, Volume Primo, Bollati Boringhieri, 2000
Reference Bibliography
[C] Chierchia, L.: Analisi su ℝ. Guida ai principi dell'analisi matematica McGraw-Hill, 2025, 250 pagine Altri testi [C2019] Chierchia, L.: Corso di analisi, prima parte. Una introduzione rigorosa all'analisi matematica su ℝ McGraw-Hill, 2019, 390 pagine [R] Rudin, W.: Principles of Mathematical Analysis, Third Edition, McGraw Hill, 1976 [O] John M.H. Olmsted The Real Number System , 1962, 216 pages Esercizi [Rm3.x] Esercizi@RomaTre.x [Rm3.y] Esercizi@RomaTre.y [UTV] Esercizi@Tor Vergata [AB] Amar, M.; Bersani, A.: Analisi Matematica I, Esercizi e richiami di teoria, LaDotta, 2013 [B] Bramanti, M.: Esercitazioni di Analisi Matematica 1 Esculapio, 2011 [GE] Giusti, E.: Esercizi e complementi di Analisi Matematica, Volume Primo, Bollati Boringhieri, 2000Attendance
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
Programme
Integration and differentiation in higher dimension.Core Documentation
Marcellini-Sbordone, Analisi II.Type of delivery of the course
Lessons in the classroom.Attendance
See lecturerType of evaluation
Written and oral examination; who passes the two classworks during the course doesn't need to take the written examination at the end.