First cycle
degree courses
Second cycle
degree courses
Single cycle
degree courses
School of Science
ASTRONOMY
Course unit
MATHEMATICAL ANALYSIS 3
SC03100205, A.A. 2019/20

Information concerning the students who enrolled in A.Y. 2018/19

Information on the course unit
Degree course First cycle degree in
ASTRONOMY
SC1160, Degree course structure A.Y. 2008/09, A.Y. 2019/20
N0
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Number of ECTS credits allocated 8.0
Type of assessment Mark
Course unit English denomination MATHEMATICAL ANALYSIS 3
Website of the academic structure http://astronomia.scienze.unipd.it/2019/laurea
Department of reference Department of Physics and Astronomy
Mandatory attendance
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 CORRADO MARASTONI MAT/05

Mutuating
Course unit code Course unit name Teacher in charge Degree course code
SC03100205 MATHEMATICAL ANALYSIS 3 CORRADO MARASTONI SC1158

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

Course unit organization
Period First semester
Year 2nd 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 30/09/2019
End of activities 18/01/2020
Show course schedule 2019/20 Reg.2008 course timetable

Syllabus
Prerequisites: Analysis 1 and 2, Geometry
Target skills and knowledge: The main aim of this course (a direct continuation of the courses of Analysis 1 and 2) is the study of the integral calculus in several real variables and of the general theory of ordinary differential equations.
Examination methods: Written exam, possibly followed by an optional oral exam.
Assessment criteria: We shall evaluate the ability of the student in facing and solving the proposed problems in an autonomous, rapid and precise way, by appropriately applying the notions and the tools learned during the course.
Course unit contents: Differential manifolds, tangent structures, maxima and minima with constraints. Linear differential forms, vector fields and their integration. Lebesgue integration on affine spaces and on manifolds. Classical theorems on integration of vector fields (Green, curl, divergence). General theory of ordinary differential equations; linear differential equations and systems.
Planned learning activities and teaching methods: Class lectures; publication of notes of theory and exercises in the web page of the course. In order to stimulate the students to the autonomous practice of the learned notions and tools, during the course we shall publish various self-assessment tests with exercises, followed by their detailed solutions a few days later.
Additional notes about suggested reading: Teaching notes will be published in the web page of the course. We nevertheless recommend to attend the lectures regularly and to practice constantly with the exercises proposed both during the lectures or as a personal homework.
Textbooks (and optional supplementary readings)