2020 09 24 The sessions with questions concerning the exam will take place in lecture hall 1 of the geology department in Talstr. 35.
The entrance to the lecture hall is here.2020 09 22 On Monday, 28 September at 3pm I will offer an open end session for questions concerning the exam. 2020 07 28 The Retake Exam has been scheduled for 2 October 2020 at 2pm.
For exam preparation I recommend to take a look at the vastly expanded lecture notes.2020 03 20 This morning the Office for Study Affairs of the Faculty of Physics and Earth Sciences announced that
• all written exams will be cancelled
• exams will be rescheduled at some date after 18 May 2020
I will send a note as soon as I have further information.2020 02 24 The discussion of the exam will take place
on Wednesday, 11am, in the kleiner Hörsaal, Linnéstr
I expect it to take till 2pm. After that you can meet me in my office at the ITP.2020 02 23 I am in the course of crosschecking all exams. So far I can say that there is
• one very good 1.0,
• one exam that is either 1.0 or 1.3,
... and 19 exams that are really, really far from making itMonday till Wednesday you can come to my office after 1pm to have a look into your exam. 2020 02 04 The solution of the Self Test Exam is online. 2020 02 04 Exercise sheet 14 with the problems of the interactive session this week is online. 2020 01 20 Exercise sheet 13 is online and there is an update of the lecture notes which contains now a discussion of the Kepler problem. 2020 01 16 The question periods will take place on Fridays 5-7 in the kleiner Hörsaal. 2020 01 15 Exercise sheet 12 is online. 2020 01 14 The lecture notes cover now material on solving ODEs that arise commonly as EOM in mechanical problems. 2020 01 08 The lecture notes have been expanded by a section on equations of motion and the phase-space representation of solutions. 2020 01 08 Exercise sheet 11 is online. 2020 01 06 The lecture notes have been expanded by a chapter on Newton's laws. 2019 12 31 The Self-Test Exam is online. 2019 12 30 I rephrased exercise 10, see the new exercise sheet and the txt-file with explanation. 2019 12 20 Exercise sheet 10 is online. Over x-max I will prepare a test exam, and an update of the lecture notes that will contain also some additional problems and solutions to selected problems. 2019 12 12 Exercise sheet 9 is online. 2019 12 04 The warm-up problem and two home-work problems of Exercise sheet 8 is online. 2019 11 26 Exercise sheet 7 is online. 2019 11 23 Some typos have been corrected in Exercise sheet 6, cf the separate file with Hints/Remarks. 2019 11 20 Exercise sheet 6 is online, and it has been augmented with additional hints. 2019 11 13 I added new Internet Resources. 2019 11 12 Exercise sheet 5 is online. 2019 11 12 Exercise sheet 4 with the problems of the interactive session, and solutions to these problems are not online. 2019 11 11 There is an update of the lecture notes, with revisions for chapter 1 and a discussion of sets, groups and vector spaces. I am looking forward to feedback. 2019 11 07 After consultation with the TAs I decided that we will have an interactive learning session in the seminars on the forthcoming Monday/Tuesday. Please be prepared to solve problems on • trigonometry (check out trigonometric identities and relations for right-angled trinagles), • derivatives (check out sum rule, product rule, chain rule, derivatives of common functions), • integrals (check out integration by pars, substitution), • vectors and geometry. 2019 10 30 The 3rd set of problems is online. 2019 10 22 The 2nd exercise sheet is online. 2019 10 21 The times for the tutorials have been fixed. 2019 10 20 I updated the information for the seminar rooms and assistants and provide a first piece of lecture notes. 2019 10 15 First Lecture with introduction of teaching assistants and tutors. 2019 10 17 There will be four seminars at the times we agreed upon, as indicated below. The almaweb should be updated by tomorrow. 2019 10 17 The 1st exercise sheet is online.
We will come to know different approaches to determine the classical equations of motion of mechanical systems, and to discuss the features of the solutions of these equations. The following topics will be covered
Mathematical Methods. Vectors, coordinates, complex numbers, equations of motion, conservation laws basics of variational calculus, solutions of differential equations Newtonschian mechanics. axioms, Galileo-transformations, phase space Lagrange mechanics. derivation, equations of motion Model systems. motion of planets and asteoroids: Kepler problem solid bodies: center of mass, rotation, reflection
David Morin Introduction to Classical Mechanics (Cambridge, 2007) an elaborate introduction with a lot of worked exercises our lectures will cover (al most) the chapters 1–8 John R. Taylor Classical Mechanics (Univ. Science Books, 2005) our lectures will cover (al most) the chapters 1–9 Siegfried Großmann Mathematischer Einführungskurs für die Physik (Springer, 2012) lucit introduction to mathematical concepts in physics — unfortunately on available in German Leonard Susskind, George Hrabovsky The Theoretical Minimum: Classical Mechanics (Penguin, 2013) a hero of quantum field theory and a science journalist develop a course for interested laymen with Youtube-Channel and extensive support page
Real World Physics Problems with lots of idea, animations, and excellent explanations Mathematical Impressions of the Simons Foundation features excellent movies on Applied Mathematics and Physics Thomas Hempels Web-Seiten Notes and Exercises on "Mathematischen Methoden der Naturwissenschaften" (in German, sorry!) a large number of lecture notes, and a huge amount of exercises on the level of the course and beyond Franz-Josef Elmers Pendulum Lab Interaktive simulations of the motions of pendula with a splendit Lecture Room PhET Interactive Simulations interaktive simulations on many topics in mathematics and science animations and interactive training on many topcs of the course, check out for instance Masses and Springs
I will use PhyPhox
to illustrate the relation between observations, models and theory.
Python and Sage
will be used for numerical studies and visualization.
The script files are notebooks that run interactively in Jupyter.
Please store them on your computer, start Jupyter, and then open the notebook.
The files contain absolutely minimalistic explanations and comments.
I assume that you know what they are intended to do because we discussed the problems in a seminar or in class.
As introductions to Python and Sage I recommend the books Steward: "Python for Scientists" and Zimmermann u.a.: "Computational Mathematics with SageMath".
I am striving to TeΧ my lecture notes. The present state of this project is available here. Help is greatly appreciated. I offer guest access to the full project such that you get access to the files, follow tickets, open issues, and submit contributions to the project. Please register at the GitLab Server of the University, enter a comprehensible name in the settings dialog of the top right drop-down menu, and let me know that you wish to participate.
The first homework will be published here on Thursday after the lecture.
In subsequent weeks it will be ready by Wednesday such that there is the opportunity for feedback on Thursday.
Date Topic Hints/Remarks 2019 10 17 1. Dimensional Analysis (PDF, 64kB) » 2019 10 22 2. Logics, Quantors, Groups (PDF, 230kB) » 2019 10 30 3. Vectors, Forces (PDF, 230kB) » 2019 11 11 4. Interactive Session (PDF, 140kB) » 2019 11 13 5. Forces, Torques (PDF, 1.3MB) » 2019 11 20 6. Equations of Motion (PDF, 400kB) » (txt, 400B) » 2019 11 26 7. Conservation Laws (PDF, 800kB) » 2019 12 04 8. Conservation Laws and EOM (PDF, 130kB) » 2019 12 12 9. Volume Integrals (PDF, 540kB) » 2019 12 20 10. Accelerated Reference Frames (PDF, 950kB) » (txt, 650B) » 2019 12 31 Self Test Exam (PDF, 570kB) » 2020 01 08 11. Calculus of Variation (PDF, 770kB) » 2020 01 15 12. Lagrange Formalism (PDF, 830kB) » 2020 01 20 13. Lagrange Formalism II (PDF, 770kB) » 2020 02 04 14. Interactive Lagrange Session (PDF, 570kB) »
Lectures Tue 13:30 – 15:00 Linnéstr kleiner Hörsaal Thu 9:15 – 10:45 Linnéstr Theorie Hörsaal
Seminar Group A. Constantin Rein Mo 11:00 – 12:30 ITP, Brüderstr SR 210 Group B. Phạm Trung Hiéu / Mohammad Mo 11:00 – 12:30 Physik, Linnéstr SR 225 Group C. Jürgen Vollmer Mo, 15:15 – 16:45 Physik, Linnéstr SR 224 Group D. Itzi Aldecoa Tue 9:15 – 10:45 Physik, Linnéstr SR 221 Tutorial. Arya Prasetya Thu 13:00 – 15:00 Linnéstr, open physics room room 220 Fri 15:00 – 17:00 Linnéstr, open physics room room 220 Question Period. Jürgen Vollmer Fri 17:00 – 19:00 Linnéstr kleiner Hörsaal
Written Exam 13 February 2020 10:30 – 12:00 Physik, Linnéstr Theorie Hörsaal Written Exam 1 April 2020 cancelled Written Exam 2 October 2020 2:00pm – 3:30pm Großer Hörsaal