MAU23403 Equations of mathematical physics I

Assessment Details

• This module is examined in a 2-hour examination at the end of Semester 1.
• Continuous assessment contributes 20% towards the overall mark.
• The module is passed if the overall mark for the module is 40% or more. If the overall mark for the module is less than 40% and there is no possibility of compensation, the module will be reassessed as follows: 
  1) A failed exam in combination with passed continuous assessment will be reassessed by an exam in the supplemental session; 
  2) The combination of a failed exam and failed continuous assessment is reassessed by the supplemental exam; 
  3) A failed continuous assessment in combination with a passed exam will be reassessed by one or more summer assignments in advance of the supplemental session.

Contact Hours

11 weeks of teaching with 3 lectures per week.

Learning Outcomes

On successful completion of this module, students will be able to

• Compute the real and complex Fourier series of a given periodic function.
• Evaluate the Fourier transform of a given non-periodic function.
• Evaluate integrals which involve the Dirac delta distribution.
• Compute the gradient of a given scalar field.
• Compute the divergence and curl of a given vector field.
• Calculate line and surface integrals.
• Apply their knowledge to relevant problems in mathematics and physics.

Module Content

• Fourier series and Fourier integrals.
• Differential equations, generic linear and nonlinear ODEs, Frobenius method.
• Vector calculus.
• Statement of the theorems of Green, Stokes and Gauss.