Undergraduate Course: MP2B: Dynamics (PHYS08033)
||School of Physics and Astronomy
||College of Science and Engineering
||Available to all students
|Credit level (Normal year taken)
||SCQF Level 8 (Year 2 Undergraduate)
|Home subject area
||Undergraduate (School of Physics and Astronomy)
||Other subject area
||Specialist Mathematics & Statistics (Year 2)
||Taught in Gaelic?
||The course provides an introduction to Mathematical Physics and training in the associated concepts and mathematical skills. The strong connections between Mathematics and Physics are highlighted within the arena of Classical Dynamics. Beginning from Newton's second law as a differential equation, key physical quantities such as energy and angular momentum are identified and defined mathematically. The role of conservation laws is underlined and contrasted with dissipative systems. Simple harmonic motion is established as a fundamental mathematical model for physical systems. Collective oscillation problems are treated and the wave equation is derived.
Galilean and Newtonian models of gravity are introduced and orbits and the Kepler problem are studied.
Information for Visiting Students
|Displayed in Visiting Students Prospectus?
Course Delivery Information
|Delivery period: 2010/11 Semester 2, Available to all students (SV1)
||WebCT enabled: No
|No Classes have been defined for this Course|
||First class information not currently available|
||This course is running in 2010/2011 only for those students taking resits.
|Main Exam Diet S2 (April/May)||2:00||16 sides|
|Resit Exam Diet (August)||2:00||16 sides|
Summary of Intended Learning Outcomes
|After completion of the course the student should demonstrate an ability to:
1. starting from Newton's second law as a differential equation, formulate one- and two-dimensional dynamical problems including motions under gravity, motions with resistive forces, motions with variable mass.
2. solve first and second order linear differential equations appearing in dynamical contexts; fit and interpret physical boundary and initial conditions.
3. define mathematically key physical quantities such as energy, momentum and angular momentum and derive conservation laws in relevant cases.
4. understand simple harmonic motion as a mathematical model including the roles of damping and forcing
5. understand motion in a general potential, classical limits of the motion and small oscillations near a potential minimum
6. understand the factorization of centre-of-mass and relative motion in many particle systems
7. model several-body systems by coupled differential equations, linearize near stable equilibria and derive normal mode solutions for collective motion
8. set up two and three dimensional dynamical problems in vector notation and simple non-Cartesian co-ordinate systems, in particular plane polar and spherical polar coordinates
9. set up and solve central force orbits; find solutions for circular motion and analyse their stability within a linear approximation
10. understand the meaning and the terms open, closed and stable orbits and the occurrence of elliptic, parabolic and hyperbolic orbits
11. derive the wave equation and find its solution for particular boundary conditions by the techniques of
separation of variables and Fourier series.
12. understand the importance of different frames of reference and transformations between them.
|Degree Examination, 85%
||Prof Martin Evans
Tel: (0131 6)50 5294
||Miss Leanne O'Donnell
Tel: (0131 6)50 7218
copyright 2011 The University of Edinburgh -
31 January 2011 8:13 am