MATH40380 Mathematical Theory of PDEs

Academic Year 2019/2020

The course will discuss the three main classes of partial differential equations: elliptic, parabolic and hyperbolic type. Topics will include: Holder and Sobolev spaces, Distributions, Lax-Milgram theorem and its applications, Fundamental solutions, Green functions, spectrum of the Laplace operator, Maximum principles.

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Curricular information is subject to change

Learning Outcomes:

On completion of this course, students will have the knowledge and skills to:
1. Explain the concepts and language of Partial Differential Equations and their role in modern mathematics.
2. Analyse and solve complex problems using Partial Differential Equations as functional and analytical tools.
3. Apply problem-solving with Partial Differential Equations to diverse situations and mathematical contexts.

Indicative Module Content:

Student Effort Hours: 
Student Effort Type Hours




Specified Learning Activities


Autonomous Student Learning




Approaches to Teaching and Learning:
Lectures, tutorials and problem-based learning. 
Requirements, Exclusions and Recommendations

Not applicable to this module.

Module Requisites and Incompatibles
Not applicable to this module.
Assessment Strategy  
Description Timing Open Book Exam Component Scale Must Pass Component % of Final Grade
Continuous Assessment: Homeworks throughout the semester Throughout the Trimester n/a Graded No


Examination: Final exam 2 hour End of Trimester Exam No Graded No


Carry forward of passed components
Resit In Terminal Exam
Spring Yes - 2 Hour
Please see Student Jargon Buster for more information about remediation types and timing. 
Feedback Strategy/Strategies

• Group/class feedback, post-assessment

How will my Feedback be Delivered?

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