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MAU23403 Equations of mathematical physics I

Module Code MAU23403
Module Title Equations of mathematical physics I
Semester taught Semester 1
ECTS Credits 5
Module Lecturer Prof. Manuela Kulaxizi
Module Prerequisites N/A

Assessment Details

  • This module is examined in a 2-hour examination at the end of Semester 1.
  • Continuous assessment contributes 10% towards the overall mark.
  • Re-assessment, if needed, consists of 100% exam.

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.