MATHEMATICAL ANALYSIS

MATHEMATICAL ANALYSIS

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iten
Code
65909
ACADEMIC YEAR
2018/2019
CREDITS
12 credits during the 1st year of 10800 MECHANICAL ENGINEERING - ENERGY AND PRODUCTION (L-9) SAVONA
SCIENTIFIC DISCIPLINARY SECTOR
MAT/05
LANGUAGE
Italian
TEACHING LOCATION
SAVONA (MECHANICAL ENGINEERING - ENERGY AND PRODUCTION)
semester
Annual
Teaching materials

AIMS AND CONTENT

LEARNING OUTCOMES

The course provides the main concepts in differential and integral calculus of a single real variable, and it teaches students rigorous and reflective thinking

Teaching methods

The course consists of lectures and practice. Several intermediate tests are provided .

SYLLABUS/CONTENT

Real number system.  Elementary functions. Numerical sequences, recurrence sequences, fixed points.

Differential calculus of  functions of one real variable. De l'Hopital rule and Taylor formula, Peano and  Lagrange remainder.

Integral calculus:  Riemann theory, integration techniques, primitive functions, fundamental theorem of Calculus, improper integrals.

Separable differential equations. Differential linear equations and systems of differential linear equations.

RECOMMENDED READING/BIBLIOGRAPHY

Course materials can be found at :    http://web.inge.unige.it/DidRes/Analisi/AMindex.html

TEACHERS AND EXAM BOARD

Ricevimento: From Tuesday to Thursday by appointment

Exam Board

OTTAVIO CALIGARIS (President)

MAURIZIO SCHENONE

CLAUDIO CARMELI

LESSONS

Teaching methods

The course consists of lectures and practice. Several intermediate tests are provided .

EXAMS

Exam description

Final examination  consists of a written and an oral exam.

FURTHER INFORMATION

Pre-requisites :

Good knowledge of high school mathematics.