Objectives and Content
The course aims to give an understanding of the Lagrangian and Hamiltonian formulations of classical mechanics as well as their application to both-non-relativitistic and relativistic systems. The course provides a rigorous introduction to special relativity. Topics include the central-force problem, rigid body motion, relativistic electrodynamics, as well as non-linear dynamics and chaos. The importance of symmetries for finding conserved quantities is emphasized. The lecture provides fundamental knowledge relevant for a variety of topics such as statistical physics, quantum mechanics, field theory, and general relativity.
On completion of the course
the student should have the following learning outcomes defined in terms of knowledge, skills and general competence:
- can explain and compare the Lagrangian and Hamiltonian formulations of classical mechanics
- can derive Kepler's laws
- can explain the fundamental concepts of special relativity and how to perform Lorentz transformations
- is framiliar with the relativistic notation for 4-vectors and tensors
- can explain the emergence of chaos in dynamical systems
- is able to determine the Lagrangian and Hamiltonian functons for a physical systems
- is able to derive the equations of motion from these functions
- is able to solve the equations of motion for simple systems
- can determine the moments of inertia of a rigid body
- is able to identify symmetries and to derive the corresponding conservation laws
- is able to perform calculations using relativistic kinematics and conservation laws
- knows how to model physical systems in terms of abstract quantities
- can hypothesize the solution of a problem qualitatively without performing a detailed calculation
- is comfortable presenting calculations to peers
Required Previous Knowledge
Credit Reduction due to Course Overlap
MAT251 5 ECTS
Access to the Course
Access to the course equires admission to a programme of study at The Faculty of Mathematics and Natural Sciences.
Teaching and learning methods
The teaching methods are lectures and tutorials.
Lectures / 4 hours per week
Tutorials / 2 hours per week
Compulsory Assignments and Attendance
Two assignments. Valid for 6 subsequent semester.
Forms of Assessment
The forms of assessment are: Written exam
Due to the measures taken to avoid the spread of SARS-CoV-2, UiB is closed for teaching and assessment. As a consequence, the following changes is made to assessment spring semester 2020:
- Written home examination instead of written examination
Examination Support Material
Examination support materials: Non- programmable calculator, according to model listed in faculty regulations. In addition the student can bring 5 A4 sheets with own written notes and mathematic table of formulae.
The grading scale used is A to F. Grade A is the highest passing grade in the grading scale, grade F is a fail.
Examination both spring semester and autumn semester. In semester without teaching the examination will be arranged at the beginning of the semester.
The reading list will be available within June 1st for the autumn semester and December 1st for the spring semester.
The course will be evaluated by the stdents in accordance with the quality assurance system at UiB and the department.
The Programme Committee is responsible for the content, structure and quality of the study programme and courses.
The Faculty of Mathematics and Natural Sciences and Department of Physics and Technology are administratively responsible for the course.
For written exams, please note that the start time may change from 09:00 to 15:00 or vice versa until 14 days prior to the exam. Autumn 2020 written exams will be arranged either at home or on campus. Please see course information on MittUiB.
Type of assessment: Written examination
- 08.09.2020, 09:00
- 4 hours
- Withdrawal deadline
- Examination system
- Digital exam