First cycle
degree courses
Second cycle
degree courses
Single cycle
degree courses
School of Science
PHYSICS
Course unit
MATHEMATICAL ANALYSIS 1 (Iniziali cognome M-Z)
SC05100190, A.A. 2017/18

Information concerning the students who enrolled in A.Y. 2017/18

Information on the course unit
Degree course First cycle degree in
PHYSICS
SC1158, Degree course structure A.Y. 2014/15, A.Y. 2017/18
A1302
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Number of ECTS credits allocated 8.0
Type of assessment Mark
Course unit English denomination MATHEMATICAL ANALYSIS 1
Website of the academic structure http://fisica.scienze.unipd.it/2017/laurea
Department of reference Department of Physics and Astronomy
E-Learning website https://elearning.unipd.it/dfa/course/view.php?idnumber=2017-SC1158-000ZZ-2017-SC05100190-A1302
Mandatory attendance No
Language of instruction Italian
Branch PADOVA
Single Course unit The Course unit can be attended under the option Single Course unit attendance
Optional Course unit The Course unit can be chosen as Optional Course unit

Lecturers
Teacher in charge DAVIDE VITTONE MAT/05

Mutuated
Course unit code Course unit name Teacher in charge Degree course code
SC05100190 MATHEMATICAL ANALYSIS 1 (Iniziali cognome M-Z) DAVIDE VITTONE SC1160

ECTS: details
Type Scientific-Disciplinary Sector Credits allocated
Basic courses MAT/05 Mathematical Analysis 8.0

Course unit organization
Period First semester
Year 1st Year
Teaching method frontal

Type of hours Credits Teaching
hours
Hours of
Individual study
Shifts
Practice 3.0 24 51.0 No turn
Lecture 5.0 40 85.0 No turn

Calendar
Start of activities 02/10/2017
End of activities 19/01/2018
Show course schedule 2019/20 Reg.2014 course timetable

Examination board
Board From To Members of the board
9 Analisi Matematica 1 01/10/2018 30/11/2019 TREU GIULIA (Presidente)
VITTONE DAVIDE (Membro Effettivo)
MONTEFALCONE FRANCESCOPAOLO (Supplente)
MONTI ROBERTO (Supplente)
8 Analisi Matematica 1 01/10/2018 30/11/2019 VITTONE DAVIDE (Presidente)
TREU GIULIA (Membro Effettivo)
MARASTONI CORRADO (Supplente)
MONTEFALCONE FRANCESCOPAOLO (Supplente)
MONTI ROBERTO (Supplente)
7 Analisi Matematica 1 01/10/2017 30/11/2018 VITTONE DAVIDE (Presidente)
MARASTONI CORRADO (Membro Effettivo)
MONTI ROBERTO (Supplente)

Syllabus
Prerequisites: Elementary functions of one variable: exponential, absolute value, logarithms, trigonometric functions. Cartesian geometry of the plane: lines, conic sections, geometric loci.
Target skills and knowledge: Topology of the real line; notions of limit, continuity, calculus, integration of functions of one variable; basic ordinary differential equations.
Examination methods: Written exam; an oral exam is optional.
Assessment criteria: The student is required to sufficiently master both the theoretical notions and the calculus techniques illustrated in the course.
Course unit contents: NUMERICAL SETS. Elements of number theory. Induction. Natural, integer, and rational numbers. The real line, completeness, max, min, inf, sup. Complex numbers and complex roots. Topology of the real line.
REAL FUNCTIONS OF ONE VARIABLE AND LIMITS. Real functions, notion of limit and properties of limits.
SEQUENCES OF REAL NUMBERS. Sequences and countable sets. Limit of a sequence. Topology vs. sequences. Monotone and recursive sequences.
CONTINUITY. Definition of continuity for real functions. Bolzano and Weierstrass theorems. Uniform continuity.
DIFFERENTIATION. Differentiation. Monotonicity and classical theorems. L'Hôpital's rule. Higher derivatives and convexity. Taylor formula. Function study.
INTEGRATION. Riemann integral. Primitives and integration techniques. Area of planar regions.
BASIC ORDINARY DIFFERENTIAL EQUATIONS. Generalites. Cauchy problems and qualitative studies. First order differential equations, separation of variables. Linear differential equations: generalities, the second order case with constant coefficients.
Planned learning activities and teaching methods: Blackboard lectures.
Textbooks (and optional supplementary readings)
  • Giusti, Enrico, Analisi matematica 1. Torino: Bollati-Boringhieri, 2002. Cerca nel catalogo