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Lecture Basics in Applied Mathematics (WS 2024/2025)


Professors: 
Prof. Dr. Moritz Diehl, Prof. Dr. Patrick DondlProf. Dr. Angelika Rohde

Assistant: Ben Deitmar (organizational), Coffi Hounkpe (coffi.hounkpe@mathematik.uni-freiburg.de), Thomas Müller (mueller.studiert@posteo.de), Leo Simpson (leo.bill.simpson@gmail.com)

Lectures: Tue & Thu, 8-10 a.m. Location: HS Weismann-Haus, Albertstr. 21a

Tutorial seesions: Thu. 10-12 am. Location: Ernst-Zermelo-Str. 1 SR 218

ETCS: 12 Points

Language: English

 

Contents


This course provides an introduction into the basic concepts, notions, definitions and results in probability theory, numerics and optimization, accompanied with programming projects in Python. Besides deepen mathematical skills in principle, the course lays the foundation of further classes in these three areas.

The first 5 weeks (14th Oct. - 15th Nov.) will be on probability theory with lectures held by Angelika Rohde and assistance by Thomas Müller.

The next 5 weeks (18th Nov. - 20. Dez.) will be on numerics with lectures held by Patrick Dondl and assistance by Coffi Hounkpe.

The final 5 weeks (7th Jan. - 7th Feb.) will be on optimization with lectures held by Moritz Diehl and assistance by Leo Simpson.

 

 

Lecture Notes

 

The lecture notes for the stochastics part by Angelika Rohde can be found here.

The lecture notes for the numerics part by Patrick Dondl will be posted here when available.

The (German) source for the lecture notes is Numerik 3x9 by Sören Bartels (available for students in PDF format on the website of the university library). A recommended English textbook could be Numerical Mathematics by Alfio Quarteroni, Riccardo Sacco and Fausto Saleri.

 

Exercises

 

Weekly exercises to the lecture will be posted here. 

issue date due date link comment
Exercise 1 15.10.24 22.10.24 Exercise1
Exercise 2 22.10.24 29.10.24 Exercise2
Exercise 3 29.10.24 05.11.24 Exercise3
Exercise 4 05.11.24 12.11.24 Exercise4
Exercise 5 12.11.24 19.11.24 Exercise5
Exercise 6 19.11.24 26.11.24 Exercise6
Exercise 7 26.11.24 03.12.24
Exercise 8 03.12.24 10.12.24
Exercise 9 10.12.24 17.12.24
Exercise 10 17.12.24 07.01.24
Exercise 11 07.01.24 14.01.24
Exercise 12 14.01.24 21.01.24
Exercise 13 21.01.24 28.01.24
Exercise 14 28.01.24 04.02.24

 

Each of the three parts of the lecture will have its own exercises and reaching 50% of available points in the exercises of each of the three parts will be necessary for passing the course. Specifically, you will need 50% of the points from exercises 1-5, also 50% of the points from exercises 6-10 and again 50% of the points from exercises 11-14.

 

Programming exercises

 

The programming part of this course is made up of:

- a weekly programming exercise appended to the regular exercise sheets (graded together with the exercise sheets)

- a small programming project during the last weeks of the semester under Moritz Diehl (graded separately)

 

Tutorial sessions

 

The exercises of the previous week will be reviewed in (mandatory) weekly tutorial session lead by Julian Wiedermann.

You are allowed to miss two tutorial sessions during the semester. Any further absence without a valid excuse may result in having to repeat the course.

 

Time: Thu. 10-12 am.

Location: Ernst-Zermelo-Str. 1 SR 218