Mathematical Foundations of Physics B

Lecture in summer term 2024.

Lecture: Thore Posske
Lecture: Fri, 12:30 p.m. - 2:00 p.m., Jungiusstr. 9, Lecture hall 3 except for June 14 (Lecture Hall 1)
No lecture: May 24, Pentecost
Special lectures: July 12: trial exam, Formelsammlung.

ATTENTION: July 22, 11:00 a.m. , HS 3: preparation for exams, send questions in advance.
current topics: Coordinate change, general solution of differential equations, complex integration (easy and hard example)

Exercises:
Tue, 3:15 p.m. - 4:45 p.m., Jungiusstr. 9, SR 1, Martin Bonkhoff
Fri, 2:15 p.m. - 3:45 p.m., Jungiusstr. 9, SR 1, Anshuman Tripathi (English)
Fri, 2:15 p.m. - 3:45 p.m., Lecture Hall 3 except for June 14 (Lecture Hall 1), Felix Gerken
Bonus: Get 50 percent of points for all exercises, controlled by presenting your solution at the blackboard twice.

Tutorial:
Jungiusstr. 11a, Bib INF, Wednesday, 3:30 - 5:30 p.m..
Rachele Sama
Tobias Loewe

Corrections:
Victor Danescu
Moodle page for corrections
Deadlines: Mondays each week starting from April 15.

Cheat Sheet - Formelsammlung

CheatSheet - Formelsammlung for the exams .

Script

Please see below for a handwritten script for each lecture. The digital version is created by Damjan Vukovic Pajkic and Johannes Kratz on the basis of the handwritten script shortly after the lecture. Please contact them in case of questions and comments. Also send them your suggestions for the equations you will be allowed to use at the exams.

Full version of the handwritten script.
Current version of the digital script.

Exam

First exam: July 25, 1 p.m. - 3 p.m. CEST, HS 2.
Second exam: September 27, 1 p.m. - 3 p.m., HS 1.


Content

toggler: ↓ more ↓

Additional material

Table of content
Table of content with subjective emphasis
Partial derivatives
Schroedinger equation in 1D, potential scattering
Vector fields
Intuition about the gradient of a function
Intuition about the divergence of a vector field
Intuition about the curl (German: "rotation") of a vector field
Intuition about the divergence of a vector field
Partial derivatives
Commutation of partial derivatives
Subtle differences between mathematical and physical conventions for partial derivates Complex functions
Visualization of complex functions as vector fields
Advanced topics
Method of characteristic equations, Stanford script Math 220A (2002)
Scripts of Christoph Schweigert, for the mathematically interested ones
Files for own analysis
Fourier/sound analysis of selected functions

Recommended reading/references

Mathematics for Physicists and Engineers (Klaus Weltner, S. T. John, Wolfgang J. Weber, Peter Schuster, Jean Grosjean)