MATHEMATICAL ANALYSIS II

Course objectives

To give the fundamental concepts and tools of differential and integral calculus for functions of several real variables and vector fields, of differential equations and of Fourier series; to give an intuition, though examples and practical applications, of the use of Mathematical Analysis in the qualitative and quantitative description of a phenomenon..Expected results: To read, understand and use the tools of differential and integral calculus for functions of several real variables and vector fields, of differential equations and of Fourier series. To know, understand and prove their main properties.

Channel 1
LORENZO GIACOMELLI Lecturers' profile

Program - Frequency - Exams

Course program
Functions of several real variables. Vector fields. Multiple integrals. Curves and line integrals. Surfaces and surface integrals. The divergence and curl thoerems. The implicit function therorem and its consequences, Ordinary differential equations. Fourier series. The detailed program is available at: https://www.sbai.uniroma1.it/~lorenzo.giacomelli/aero-2526-2/programma-indicativo-am2-2026.html The lectures' timetable is available at: https://docs.google.com/spreadsheets/d/11TmKW-aTOZualpl1X0kdgOxHL31Pg_lvfEwW4RVBg3w?usp=drive_fs
Prerequisites
No curricular prerequisites are requested. However, it is essential to have a high-school knowledge of math and physics and a basic knowledge of calculus in one independent variable, vector calculus, and linear algebra.
Books
M. Bertsch, A Dall'Aglio, L. Giacomelli. Epsilon 2. McGraw-Hill, Milano, 2024.
Frequency
Strongly suggested.
Exam mode
The exam lasts two hours and consists in a written test containing 3 exercises (24/25 points) and some open questions concerning theory (6/7 points), to be answered during the last 30 minutes. Electronic instruments are not allowed. Consultation of a textbook is allowed during the first 90 minutes. The test is passed if two exercises are correctly solved AND the overall evaluation is at least 18 points. Details: https://www.sbai.uniroma1.it/~lorenzo.giacomelli/didattica.html
Bibliography
M. Bertsch, R. Dal Passo, L. Giacomelli. Analisi matematica (2 ed.). McGraw-Hill, Milano, 2011 (ISBN 978-88-386-6281-2).
Lesson mode
Lectures are in presence. Theory and exercises are developed together.
FRANCESCANTONIO OLIVA Lecturers' profile
Channel 2
LORENZO GIACOMELLI Lecturers' profile

Program - Frequency - Exams

Course program
Functions of several real variables. Vector fields. Multiple integrals. Curves and line integrals. Surfaces and surface integrals. The divergence and curl thoerems. The implicit function therorem and its consequences, Ordinary differential equations. Fourier series. The detailed program is available at: https://www.sbai.uniroma1.it/~lorenzo.giacomelli/aero-2526-2/programma-indicativo-am2-2026.html The lectures' timetable is available at: https://docs.google.com/spreadsheets/d/11TmKW-aTOZualpl1X0kdgOxHL31Pg_lvfEwW4RVBg3w?usp=drive_fs
Prerequisites
No curricular prerequisites are requested. However, it is essential to have a high-school knowledge of math and physics and a basic knowledge of calculus in one independent variable, vector calculus, and linear algebra.
Books
M. Bertsch, A Dall'Aglio, L. Giacomelli. Epsilon 2. McGraw-Hill, Milano, 2024.
Frequency
Strongly suggested.
Exam mode
The exam lasts two hours and consists in a written test containing 3 exercises (24/25 points) and some open questions concerning theory (6/7 points), to be answered during the last 30 minutes. Electronic instruments are not allowed. Consultation of a textbook is allowed during the first 90 minutes. The test is passed if two exercises are correctly solved AND the overall evaluation is at least 18 points. Details: https://www.sbai.uniroma1.it/~lorenzo.giacomelli/didattica.html
Bibliography
M. Bertsch, R. Dal Passo, L. Giacomelli. Analisi matematica (2 ed.). McGraw-Hill, Milano, 2011 (ISBN 978-88-386-6281-2).
Lesson mode
Lectures are in presence. Theory and exercises are developed together.
FRANCESCANTONIO OLIVA Lecturers' profile
  • Lesson code1015376
  • Academic year2025/2026
  • CourseAerospace engineering
  • CurriculumSingle curriculum
  • Year1st year
  • Semester2nd semester
  • SSDMAT/05
  • CFU9
  • Subject areaMatematica, informatica e statistica