MATHEMATICAL ANALYSIS II
Academic year and teacher
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- Versione italiana
- Academic year
- 2015/2016
- Teacher
- FAUSTO SEGALA
- Credits
- 6
- Didactic period
- Primo Semestre
- SSD
- MAT/05
Training objectives
- THE AIM OF THE COURSE FOR SECOND-YEAR STUDENTS IN PHYSICS IS TO GIVE THE BASIC KNOWLEDGES RELATED TO DIFFERENTIAL AND INTEGRAL CALCULUS FOR FUNTIONS OF SEVERAL VARIABLES
Prerequisites
- BASIC ALGEBRA AND ANALYTIC GEOMETRY,DIFFERENTIAL AND INTEGRAL CALCULUS
Course programme
- FUNCTIONS OF SEVERAL VARIABLES (4 HOURS)
PARTIAL DERIVATIVES (4 HOURS)
CURVES AND SURFACES (8 HOURS)
INTEGRALS ON CURVES,MULTIPLE INTEGRALS (10 HOURS)
SERIES AND FOURIER SERIES (8 HOURS)
LEBESGUE INTEGRAL (6 HOURS)
PARTIAL DIFFERENTIAL OPERATORS,APPLICATIONS TO RELEVANT PHYSICAL PROBLEMS (8 HOURS) Didactic methods
- Theoretical/practical lessons.
Learning assessment procedures
- Written/oral examination.
The final mark is the mean value between written test and oral exam. Reference texts
- R.ADAMS,CALCOLO DIFFERENZIALE II,CEA,MILANO
https://www.youtube.com/watch?v=gZNm7L96pfY
https://en.wikipedia.org/wiki/Lebesgue_integration