First cycle
degree courses
Second cycle
degree courses
Single cycle
degree courses
School of Engineering
MECHANICAL ENGINEERING
Course unit
MATHEMATICAL ANALYSIS 1 (Numerosita' canale 3)
IN10100190, A.A. 2019/20

Information concerning the students who enrolled in A.Y. 2019/20

Information on the course unit
Degree course First cycle degree in
MECHANICAL ENGINEERING
IN0506, Degree course structure A.Y. 2011/12, A.Y. 2019/20
N3cn3
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Degree course track Common track
Number of ECTS credits allocated 12.0
Type of assessment Mark
Course unit English denomination MATHEMATICAL ANALYSIS 1
Department of reference Department of Industrial Engineering
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 GABRIELLA PINZARI MAT/07
Other lecturers ALBERTO BENVEGNU' 000000000000

Mutuating
Course unit code Course unit name Teacher in charge Degree course code
IN10100190 MATHEMATICAL ANALYSIS 1 (Canale B) GABRIELLA PINZARI IN0515

ECTS: details
Type Scientific-Disciplinary Sector Credits allocated
Basic courses MAT/05 Mathematical Analysis 12.0

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

Type of hours Credits Teaching
hours
Hours of
Individual study
Shifts
Lecture 12.0 96 204.0 No turn

Calendar
Start of activities 30/09/2019
End of activities 18/01/2020
Show course schedule 2019/20 Reg.2011 course timetable

Syllabus
Prerequisites: Solid knowledge of the fundamental results of differential and integral calculus for real functions of one variable.
Target skills and knowledge: Learning essential elements of infinitesimal, differential and integral calculus.
Assessment criteria: Written test comprising a part of exercises and a part of theory.
Course unit contents: Real numbers. Functions. Induction. Inf, sup, max, min.

Sequences: definition, limit, limit operations. Main theorems about sequences.

Functions: definition, limit, limit operations. Main theorems about continuous functions.

Derivatives: definition, geometrical meaning, operations with derivatives.

Applications of derivatives. Relative max and min. Fermat, Rolle, Lagrange theorems. Monotone functions. Convex functions.

Taylor formula and its use in order calculate limits.

Definite and indefinite integrals. Integration's methods. Integral function and main theorem about the integral function.

Numerical series and their convergence.

Introduction to differential equation.
Planned learning activities and teaching methods: Frontal lessons on the blackboard. Proposed weekly exercises.
Textbooks (and optional supplementary readings)
  • Giusti, Enrico, Analisi matematica 1Enrico Giusti. Torino: Bollati-Boringhieri, 2002. Cerca nel catalogo
  • Giusti, Enrico, Esercizi e complementi di analisi matematicaEnrico Giusti. Torino: Bollati Boringhieri, 1991. Cerca nel catalogo