Applied Mathematics 2021
Civil Engineering for Mitigation of Risk from Natural Hazards
University of Pavia, IUSS School of Advanced Studies
Academic Year: 2021/2022
Lecturer: Lorenzo Tamellini, tamellini@imati.cnr.it
Teaching Assistant: Daniele Prada, prada@imati.cnr.it
Dates: 18 November / 22 December
Classroom: EUCentre (on campus, here). Google meet for those who cannot be in Pavia
Zoom links: deactivated.
Syllabus: here
Kiro portal page: old Kiro here (login requested); new Kiro here (login requested - credentials here are different from the ones for the old Kiro).
Important note on Kiro: the two portals show the same information, just login to whichever you prefer. They both only contain the Zoom google meet links - everything else is available here
All material on this website is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International license.
News:
(news older than 3 days might be removed if the list gets too long)
September 5: the schedule for the exam on September 6-7 is now available, see below. If you haven't registered yet, please do so as soon as possible (deadline tonight). You will be scheduled in the remaining slots, starting with those on Wednesday morning.
August 3:
there will be a new exam session, on September 6-7. It will be held in presence in the room at EUCentre (get in touch with us if you need to take the exam online). The final schedule will be available below, a couple of days before the exam.
Full list of rules available at the end of this page
Teaching material:
Last revision: Jan. 13, 2022. Class notes are constantly updated as soon as we find typos/mistakes.
Chapter 1: Optimization of N-variate functions:
class notes (handouts) here
Nov. 18:
Nov. 23:
Chapter 2: Ordinary Differential Equations (ODEs):
class notes (handouts) here
Nov. 24:
Nov. 25:
Chapter 3: Function approximation, Fourier transform:
class notes (handouts) here
Nov. 30:
Dec. 1:
Dec. 2:
Dec. 7:
Chapter 4: Partial Differential Equations (PDEs):
class notes (handouts) available here
animated gifs for Dirichlet conditions and Neumann conditions for wave equation
Dec. 14:
Dec. 15:
Dec. 16
Exercise sessions and homework:
Rules for homework:
you can typeset it or write it by hand (clear handwriting please).
handle in the paper on the morning of the due date, at the beginning of the class, or send it by email (before the class begins) to tamellini@imati.cnr.it and prada@imati.cnr.it
don't send in .m files with Matlab scripts. Write in the homework the commands that you used as well as the results you get, and draw the plots you obtain. As an alternative, print in pdf the .m scripts you prepared and the plots you get.
you can work together on the homework, but don't send in identical copies.
Homework:
Chapter 1: here (with solutions).
Chapter 2: here (with solutions).
Chapter 3: here (with solutions).
Chapter 4: here (with solutions).
Files and material for exercise sessions:
Introduction to MATLAB:
Chapter 1:
Chapter 2:
Chapter 3:
Dec. 1:
Dec. 2:
Dec. 7:
Chapter 4:
Dec. 14:
Dec. 15:
recording of Dec 15 afternoon here
matlab files in the same folder of yesterday
Dec. 16:
Final grade:
The final grade will be composed as follows:
winter session (December 2021): 30% homework assignments (four in total) graded during the course + 70% oral discussion over the content of the class (theory, exercises, matlab scripts)
summer session (July-September 2022): oral discussion over the content of the class (theory, exercises, matlab scripts)
Schedule for the oral exam (September 6-7):
schedule here (version of Sep. 5, 12:23). For those who have requested an online exam, we have activated a google meet link: https://meet.google.com/pzr-ofqe-nnt (the link is available in the pdf as well)
the room for the exam is the usual one, at EUcentre
The exam will be held in presence. However, it is possible to take the exam also remotely via google meet, only for serious reasons (e.g., flights already booked, medical exams, positivity to covid etc). If you are in this situation, send us an email
If you have special requirements on the day, send us an email and we'll try to accommodate your request.
If you want to switch your turn with a colleague, get in touch preliminarily with said colleague and then let us know. Have said colleague in cc to the email you are sending us;
if you have registered but decide not to show up, please notify us in advance, so we can fix the schedule accordingly.
Rules for the exam (September 6-7):
important: the grades of the homework will not be taken into account: the exam will be an oral exam on the entire program, and it will be slightly longer than for the winter session, approximately 45 minutes instead of 30 minutes.
If someone needs to take the exam remotely, a google meet link will be made available
the exams are open to the public, everyone can join and listen
please have your ID or passport ready for identification before the exam begins;
at the end of each discussion we will communicate you your final grade;
the exam is closed books: if you are taking the exam online please keep your camera and microphone open at all times, and be ready to show us that are no open books on your desk;
if you are taking the exam online:
please be ready to write your answers: either pen and paper that you will then show to us in the webcam, or with a tablet in share-screen mode; put your name/surname and student number on each piece of paper you will use, or at the beginning of the shared screen.
you are not allowed to leave your desk while you are being examined.
any unethical behavior will imply failure of the exam and will be reported to the competent office of university of Pavia.