Module Specification
The information contained in this module specification was correct at the time of publication but may be subject to change, either during the session because of unforeseen circumstances, or following review of the module at the end of the session. Queries about the module should be directed to the member of staff with responsibility for the module.
1. Module Title CLASSICAL MECHANICS
2. Module Code MATH228
3. Year Session 2023-24
4. Originating Department Mathematical Sciences
5. Faculty Fac of Science & Engineering
6. Semester Second Semester
7. CATS Level Level 5 FHEQ
8. CATS Value 15
9. Member of staff with responsibility for the module
Dr PEL Rakow Mathematical Sciences Rakow@liverpool.ac.uk
10. Module Moderator
11. Other Contributing Departments  
12. Other Staff Teaching on this Module
Professor JA Gracey Mathematical Sciences Gracey@liverpool.ac.uk
Dr SA Fairfax Mathematical Sciences Simon.Fairfax@liverpool.ac.uk
13. Board of Studies
14. Mode of Delivery
15. Location Main Liverpool City Campus
    Lectures Seminars Tutorials Lab Practicals Fieldwork Placement Other TOTAL
16. Study Hours 36

   12

       48
17.

Private Study

 102
18.

TOTAL HOURS

 150
 
    Lectures Seminars Tutorials Lab Practicals Fieldwork Placement Other
19. Timetable (if known)            
 
20. Pre-requisites before taking this module (other modules and/or general educational/academic requirements):

MATH122 NEWTONIAN MECHANICS; MATH102 CALCULUS II; MATH101 Calculus I; MATH103 Introduction to Linear Algebra
21. Modules for which this module is a pre-requisite:

 
22. Co-requisite modules:

 
23. Linked Modules:

 
24. Programme(s) (including Year of Study) to which this module is available on a mandatory basis:
25. Programme(s) (including Year of Study) to which this module is available on a required basis:
26. Programme(s) (including Year of Study) to which this module is available on an optional basis:
27. Aims
 

To provide an understanding of the principles of Classical Mechanics and their application to dynamical systems.
 
28. Learning Outcomes
 

(LO1) To understand the variational principles, Lagrangian mechanics, Hamiltonian mechanics.
 

(LO2) To be able to use Newtonian gravity and Kepler's laws to perform the calculations of the orbits of satellites, comets and planetary motions.
 

(LO3) To understand the motion relative to a rotating frame, Coriolis and centripetal forces, motion under gravity over the Earth's surface.
 

(LO4) To understand the connection between symmetry and conservation laws.
 

(LO5) To be able to work with inertial and non-inertial frames.
 

(S1) Applying mathematics to physical problems
 

(S2) Problem solving skills
 
29. Teaching and Learning Strategies
 

Material is presented during lectures (3 hours per week). Tutorials (1 hour per week) are used for consolidation and practice, and for help with individual questions.
 
30. Syllabus
   

Foundations of classical mechanics: Newton's laws of motion, inertial and non-inertial reference frames, energy principles. Applications to simple dynamical systems under various force systems Newton's law of gravitation and its application to motions of planetary bodies and the orbits of satellites. Motion relative to a rotating frame, coriolis and centripetal forces, motion under gravity over the earth's surface,. Rigid body dynamics: centre of mass, angular velocity and momentum principles. Plane motions of laminae, simple 3-dimensional rigid body motions with reference to practical examples such as the orbiting space station, and the axis of rotation of the earth.
 
31. Recommended Texts
  Reading lists are managed at readinglists.liverpool.ac.uk. Click here to access the reading lists for this module.
 

Assessment
32. EXAM Duration Timing
(Semester)		 % of
final
mark		 Resit/resubmission
opportunity		 Penalty for late
submission		 Notes
  Final assessment 90 50
33. CONTINUOUS Duration Timing
(Semester)		 % of
final
mark		 Resit/resubmission
opportunity		 Penalty for late
submission		 Notes
  Class test 60 50