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MA914 - Topics in PDEs

  • Module code: MA914
  • Module name: Topics in PDEs
  • Department: Mathematics Institute
  • Credit: 15

Content and teaching | Assessment | Availability

Module content and teaching

Principal aims

Because of the ubiquitous nature of PDE based mathematical models in biology, advanced materials, finance, physics and engineering much of mathematical analysis is devoted to their study. The complexity of the models means that finding formulae for solutions is impossible in most practical situations. Issues for mathematical analysis include: the formulation of well posed problems in appropriate function spaces, regularity and qualitative information about the solution. The purpose of this module is to provide a wide ranging introduction to topics in the modern analysis of PDEs selected for relevance to applications (geometry, material science, theoretical biology, finance , continuum mechanics) and research timeliness. It follows on from the first-term modules in the MASDOC MSc, including Analysis for Linear PDEs and is naturally aligned with the second term module Advanced Topics in Numerical Analysis and PDEs.

Principal learning outcomes

Approach and solve difficult problems in non-linear PDEs with confidence and skill; Appreciate the range of theoretical tools available, understand how to apply these and select the appropriate tool for a variety of applied settings involving non-linear PDEs; Have a deep understanding of some of the main ideas and techniques in the theoretical analysis associated with the analysis of nonlinear PDEs.

Timetabled teaching activities

The class will meet twice weekly; Module duration: 10 weeks; Total contact hours: 30; Private study and group working: 90

Departmental link

Other essential notes

Available for MSc Mathematics and Statistics (MASDOC) students

Module assessment

Assessment group Assessment name Percentage
15 CATS (Module code: MA914-15)
A (Assessed work only) Oral examination (20 minutes) 50%
  Coursework 50%

Module availability

This module is available on the following courses:



Optional Core


  • Postgraduate Taught Mathematics (G1P0) - Year 2
  • Postgraduate Taught Mathematics (Diploma plus MSc) (G1PC) - Year 2
  • Postgraduate Taught Interdisciplinary Mathematics (Diploma plus MSc) (G1PD) - Year 2