Principles of Dynamics
| Code | School | Level | Credits | Semesters |
| PHYS3010 | Physics and Astronomy | 3 | 10 | Autumn UK |
- Code
- PHYS3010
- School
- Physics and Astronomy
- Level
- 3
- Credits
- 10
- Semesters
- Autumn UK
Summary
While the derivation of equations of motion from considerations of forces and the application of Newton's laws is sufficient for simple problems in mechanics, the work of Lagrange, Euler and Hamilton in the 19th century led to the establishment of powerful concepts and methods for writing down and solving models of dynamical systems. These methods are based on the idea that of all the possible ways in which a system could evolve in time - that which is chosen by nature is the one that minimizes a certain global property called the action. In this module the mathematical language for discussing such extremal problems will be introduced. The formulations of mechanics due to Lagrange and Hamilton will be described and techniques for the solutions of the consequent equations of motion will be discussed.
Target Students
Students on Part I and Part II of Physics courses.
Classes
This module is based on a series of lectures delivered in the autumn semester supplemented by workshops.
Assessment
- 100% Exam 1 (2-hour): Exam
Assessed by end of autumn semester
Educational Aims
To introduce students to the underlying principles of dynamics and to develop techniques for the solution of dynamical problems.Learning Outcomes
Knowledge and Understanding:
On successful completion of the module, students will have enhanced their:
- A1 knowledge of most fundamental physical laws, principles and techniques
- A3 understanding of how the basic principles of physics are applied in a range of situations
- A4 knowledge of the primary mathematical methods for the analysis of physical problems
Intellectual Skills:
On successful completion of the module, students will have demonstrated their ability to:
- B1 apply theoretical ideas to the quantitative analysis of physical situations
- B3 apply techniques of problem solving
Professional/Practical Skills:
On successful completion of the module, students will have demonstrated their ability to:
- C1 formulate problems in physics using appropriate mathematical language
Transferable/Key Skills:
On successful completion of the module, students will have demonstrated their ability to:
- D1 develop appropriate strategies for study, including the use of library, human, and electronic sources of information