Undergraduate Course: Introductory Dynamics (PHYS08052)
Course Outline
School  School of Physics and Astronomy 
College  College of Science and Engineering 
Course type  Standard 
Availability  Available to all students 
Credit level (Normal year taken)  SCQF Level 8 (Year 2 Undergraduate) 
Credits  10 
Home subject area  Undergraduate (School of Physics and Astronomy) 
Other subject area  None 
Course website 
None 
Taught in Gaelic?  No 
Course description  It provides a suitable preparation for classical mechanics in JH, in particular Lagrangian dynamics, Electromagnetism and relativity, and for Principles of quantum mechanics. 
Information for Visiting Students
Prerequisites  None 
Displayed in Visiting Students Prospectus?  No 
Course Delivery Information

Delivery period: 2014/15 Semester 1, Available to all students (SV1)

Learn enabled: Yes 
Quota: None 

Web Timetable 
Web Timetable 
Course Start Date 
15/09/2014 
Breakdown of Learning and Teaching activities (Further Info) 
Total Hours:
100
(
Lecture Hours 22,
Supervised Practical/Workshop/Studio Hours 22,
Feedback/Feedforward Hours 2,
Summative Assessment Hours 12,
Revision Session Hours 3,
Programme Level Learning and Teaching Hours 2,
Directed Learning and Independent Learning Hours
37 )

Additional Notes 

Breakdown of Assessment Methods (Further Info) 
Written Exam
80 %,
Coursework
20 %,
Practical Exam
0 %

Exam Information 
Exam Diet 
Paper Name 
Hours & Minutes 

Main Exam Diet S1 (December)  Introductory Dynamics  2:00   Resit Exam Diet (August)  Introductory Dynamics  2:00  
Summary of Intended Learning Outcomes
 Understand the foundational principles of Newtonian dynamics and how they relate to broader physical principles.
 Understand in detail energy, momentum and angular momentum conservation, and their relation to symmetry.
 Develop a working knowledge of the elements of several variable calculus, and the usage of different coordinate systems.
 Be able to formulate and solve elementary dynamical problems involving motion in potentials, simple harmonic motion, and coupled oscillators, in one, two and three dimensions.
 Devise and implement a systematic strategy for solving a simple problem by breaking it down into its constituent parts.
 Use the experience, intuition and mathematical tools learned from solving physics problems to solve a wider range of unseen problems.
 Resolve conceptual and technical difficulties by locating and integrating relevant information from a diverse range of sources.

Assessment Information
80% exam 20% coursework 
Special Arrangements
None 
Additional Information
Academic description 
Not entered 
Syllabus 
 Introduction to dynamics: Newton's laws, examples of forces, conservative and nonconservative, kinetic and potential energy, energy conservation, momentum conservation, and their origin in translational symmetry in one dimension. [2]
 Introduction to differential equations: classification, initial conditions, firstorder equations, existence and uniqueness theorem, separable equations and substitution, firstorder linear equations and integrating factors. [3]
 Simple harmonic motion, equation of motion, kinetic and potential energy, turning points, period. Simple pendulum (in the small angle approximation). Hooke's law. Large oscillations: oscillatory motion in a general onedimensional potential. [2]
 Damped harmonic oscillator, principle of superposition. Homogeneous secondorder equations with constant coefficients. Forced damped harmonic oscillator. Inhomogeneous secondorder equations (with constant coefficients). [3]
 Coupled oscillators, normal models (requires knowledge of eigenvalues and eigenfunctions), transverse and longitudinal oscillations, coupled pendulums, double pendulum. [2]
 Second and higher order equations, existence and uniqueness, reduction of order, trial functions. Variable mass problems, the mass accretion equation. [2]
 Introduction to several variable calculus: partial derivatives, change of variables, polar cylindrical and spherical polar coordinates, Jacobians. [2]
 Dynamics in two and three dims: Newton's Laws in vector form, conservative forces, momentum and energy conservation in three dimensions and their origin in translational symmetry. Cartesian basis, polar basis, angular momentum conservation and rotational symmetry. Resisted motion in 2 dimensions. [3]
 Central forces and motion in a plane, angular momentum conservation, effective potential, closed and open orbits. The orbit equation and its solutions. Kepler's laws. [2] 
Transferable skills 
Not entered 
Reading list 
RD Gregory, Classical Mechanics (Cambridge)  first choice
KF Riley and MP Hobson, Essential Mathematical Methods for the Physical Sciences (CUP)
GR Fowles and GL Cassiday, Analytical Mechanics (Saunders)
TWB Kibble, FH Berkshire, Classical Mechanics (Imperial College Press)
WD McComb, Dynamics and Relativity (Oxford)
KF Riley and MP Hobson, Essential Mathematical Methods for the Physical Sciences (CUP)

Study Abroad 
Not entered 
Study Pattern 
Not entered 
Keywords  IntDyn 
Contacts
Course organiser  Dr Einan Gardi
Tel: (0131 6)50 6469
Email: Einan.Gardi@ed.ac.uk 
Course secretary  Mrs Bonnie Macmillan
Tel: (0131 6)50 5905
Email: Bonnie.MacMillan@ed.ac.uk 

