Mathematical methods in physics  Lagrange and Hamilton mechanics
Supervisor Dr. Filip Klawe (klawe(at)math(dot)uniheidelberg(dot)de)  
Lecture time: Monday 09:1510:45 and Wednesday 09:1510:45  
Lecture place: SR8, INF 205  
Participants: Bachelor students  
Leistungspunkte: 6 LP FÜK  
Requirements: Analysis I and II, Linear Algebra I and II  
Exam: Oral or written final exam (is defined depending the number of students at the beginning of the course). There will be 3 or 4 exercise sheets (homework) published during the semester.  
Link to lecture:  
Abstract: Albert Einstein said that mathematics is a tool to describe the nature. Our goal will be to learn how to use that tool. The lecture is constructed in the way that students will be able to understand some basic concepts of physics. The lecture starts from repetition of basic definitions, facts, theorems and laws. After that we will focus on the following topics: Newtonian, Lagrangian and Hamilton mechanics, calculus of variations and ergodic theory. Each of the topics will be considered from different aspects: its physical origin, applications and mathematical approach used to describe it and its properties. Moreover, we will supplement the theory by considering reallive examples. We will not follow the standard way and we will not study each branch of physics deeply as it is impossible in such a short time. The main goal is to show the wide horizon of applied mathematics. The subject is dedicated particularly to students of mathematics who want to expand their physical knowledge.  
Homework 1!!! set 1 deadline: 09:15 06.12.2021  
Homework 2!!! set 2 deadline: 09:15 31.01.2022  
Homework 3!!! set 3 deadline: 09:15 16.02.2022  
Materials:
 
Important information:
