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MA134 - Geometry and Motion

  • Module code: MA134
  • Module name: Geometry and Motion
  • Department: Mathematics Institute
  • Credit: 12

Content and teaching | Assessment | Availability

Module content and teaching

Principal aims

This module aims to indicate to students how intuitive geometric and physical concepts such as length, area, volume, curvature, mass, circulation and flux can be translated into mathematical formulas. It also aims to teach the practical calculation of these formulas and their application to elementary problems in particle and fluid dynamics. The importance of conserved quantities in mechanics is also highlighted.

Principal learning outcomes

On successful completion of this module students should be able to: parametrise simple curves and surfaces, such as conic sections, helix, surface of revolution (including sphere, cylinder, paraboloid and torus), in cartesian and other coordinates, including polar, spherical polar and cylindrical coordinates; calculate lengths and curvatures of curves in 3-space and demonstrate that length is independent of parametrisation; understand and be able to calculate line, surface and volume integrals with respect to various coordinate systems. This includes change of variables and change of order of integration in repeated integrals. Please note that in the examination, no formula sheets will be provided. :-( ;to be able to determine whether a vector field is conservative and to calculate its potential when it is; apply all these techniques to elementary problems from fluid dynamics (mass, work, circulation and flux) and geometry (area and volume); understand basic notions from particle mechanics including momentum (linear and angular), force, work, energy (potential and kinetic), Newton's laws of motion, Newton's law of gravity, conservation laws. Students should also be able to apply all these principles to elementary problems from mechanics, including central force theory (including, but not restricted to, planetary motion) and the simple pendulum.

Departmental link

http://go.warwick.ac.uk/MA134/

Module assessment

Assessment group Assessment name Percentage
12 CATS (Module code: MA134-12)
D (Assessed/examined work) Assessment 15%
  2 hour examination (Summer) 85%

Module availability

This module is available on the following courses:

Core
  • Undergraduate Mathematics (BSc) (G100) - Year 1
  • Undergraduate Mathematics with Intercalated Year (G101) - Year 1
  • Undergraduate Mathematics (MMath) (G103) - Year 1
  • Undergraduate Mathematics (MMath) with Study in Europe (G106) - Year 1
  • Undergraduate Mathematics and Business Studies (with Intercalated Year) (G1N2) - Year 1
  • Undergraduate Mathematics and Business Studies (G1NC) - Year 1
  • Undergraduate Mathematics and Economics (GL11) - Year 1
  • Undergraduate Mathematics and Economics (with Intercalated Year) (GL12) - Year 1
  • Undergraduate Mathematics and Philosophy (GV17) - Year 1
  • Undergraduate Mathematics and Philosophy with Intercalated Year (GV18) - Year 1
Optional Core

N/A

Optional
  • Undergraduate Mathematics and Statistics (BSc MMathStat) (G1G3) - Year 1
  • Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (G300) - Year 1
  • Undergraduate Discrete Mathematics (G4G1) - Year 1
  • Undergraduate Discrete Mathematics (G4G3) - Year 1
  • Undergraduate Mathematics and Statistics (BSc) (GG14) - Year 1
  • Undergraduate Mathematics,Operational Research,Statistics and Economics (Y602) - Year 1