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Module Title LC Mechanics
SchoolMathematics
Department Mathematics
Module Code 06 25661
Module Lead Dr Chris Good
Level Certificate Level
Credits 10
Semester Semester 2
Pre-requisites
Co-requisites LC Vectors, Geometry & Linear Algebra - (06 25664)
LC Real Analysis & the Calculus - (06 25660)
Restrictions None
Contact Hours Lecture-23 hours
Seminar-0 hours
Tutorial-0 hours
Project supervision-0 hours
Demonstration-0 hours
Practical Classes and workshops-0 hours
Supervised time in studio/workshop-0 hours
Fieldwork-0 hours
External Visits-0 hours
Work based learning-0 hours
Guided independent study-77 hours
Placement-0 hours
Year Abroad-0 hours
Exclusions
Description Classical or Newtonian mechanics is the foundation of applied mathematics and is an astonishingly powerful tool for explaining physical systems, from projectiles to planetary motion to the design of racing cars. It acts as a natural starting point for any serious discussion of mathematical modelling in broader areas. This module uses ideas such as forces, moments, Newton's Laws of Motion and energy to model practical situations. These models can then be analysed using a wide range of techniques from pure mathematics such as trigonometry, algebra, calculus and, in particular, vector methods. Real world problems are used to illustrate the theory and some surprising and counter-intuitive examples are discussed.
Learning Outcomes By the end of the module students should be able to:
  • State Newton's Laws of Motion and other physical laws concerning, for example, friction, impacts and elasticity.
  • Use Newton's Laws of Motion to derive various consequences such as constant acceleration equations, the existence of the centre of mass and conservation of liner momentum.
  • Set up and solve equations for problems in classical mechanics by resolving forces, use of moments, energy, momentum and impact.
  • Solve multi-step modelling problems under classical assumptions, including problems related to equilibria, motion under constant acceleration, projectiles, relative velocity, circular motion, and simple variable acceleration (including simple harmonic motion).
Assessment 25661-01 : Raw Module Mark : Coursework (0%)
25661-02 : Final Module Mark : Coursework (100%)
25661-04 : Formative : Coursework (0%)
Assessment Methods & Exceptions 1.5 hour examination (80%), work done during semester (20%)
Other
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