First cycle
degree courses
Second cycle
degree courses
Single cycle
degree courses
School of Engineering
AEROSPACE ENGINEERING
Course unit
INTRODUCTION TO DIFFERENTIAL EQUATIONS
INL1001347, A.A. 2019/20

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

Information on the course unit
Degree course First cycle degree in
INGEGNERIA AEROSPAZIALE (Ord. 2011)
IN0511, Degree course structure A.Y. 2011/12, A.Y. 2019/20
N0
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Number of ECTS credits allocated 6.0
Type of assessment Mark
Course unit English denomination INTRODUCTION TO DIFFERENTIAL EQUATIONS
Website of the academic structure http://ias.dii.unipd.it/
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 PIERPAOLO SORAVIA MAT/05

ECTS: details
Type Scientific-Disciplinary Sector Credits allocated
Basic courses MAT/05 Mathematical Analysis 6.0

Course unit organization
Period First semester
Year 3rd Year
Teaching method frontal

Type of hours Credits Teaching
hours
Hours of
Individual study
Shifts
Lecture 6.0 48 102.0 No turn

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

Syllabus
Prerequisites: Knowledge of the differential calculus in one and several variables, useful the knowledge of basic facts in linear algebra.
Target skills and knowledge: The student will study how to find explicit solutions to linear partial differential equations by using Fourier series. It will be requested a basic knowledge of the main results of existence, uniqueness and continuous dependence on data. Where possible the student will learn a physical interpretation of the equations studied.
Examination methods: Written exam. The student needs to solve correctly two exercises and rigorously present the requested theroetical aspects, in particular definitions, statements and proofs.
Assessment criteria: Awareness of the topics studied in the course: correctness in the solution of exercises, knowledge of the theoretical results, ability in discussing and present the solution to assigned problems.
Course unit contents: Normed function spaces. Fourier series. Introduction to the theory of linear partial differential equations of second order. Functions of one complex variable and applications to conformal mappings.
Planned learning activities and teaching methods: Lectures in class with the use of a tablet.
Additional notes about suggested reading: Available lecture notes in pdf form of the lessons in a limited access web site and hand notes of several authors.
Textbooks (and optional supplementary readings)
  • S. Salsa, Equazioni a derivate parziali. --: Springer, 2004. Cerca nel catalogo
  • D. Bleecker, G. Csordas, Basic partial differential equations. --: International press, 2003. Cerca nel catalogo

Innovative teaching methods: Teaching and learning strategies
  • Loading of files and pages (web pages, Moodle, ...)

Innovative teaching methods: Software or applications used
  • Moodle (files, quizzes, workshops, ...)
  • One Note (digital ink)

Sustainable Development Goals (SDGs)
Quality Education Gender Equality