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MATH40380

Academic Year 2019/2020

Mathematical Theory of PDEs (MATH40380)

Subject:
Mathematics
College:
Science
School:
Mathematics & Statistics
Level:
4 (Masters)
Credits:
10
Module Coordinator:
Assoc Professor Marius Ghergu
Trimester:
Autumn
Mode of Delivery:
On Campus
Internship Module:
No
How will I be graded?
Letter grades

Curricular information is subject to change.

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.

About this Module

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

40
Autonomous Student Learning

120
Lectures

36
Tutorial

12
Total

208

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 In Module Component Repeat Offered
Examination: Final exam 2 hour End of Trimester Exam No Graded No
60
 Yes
Continuous Assessment: Homeworks throughout the semester Throughout the Trimester n/a Graded No
40
 No

Carry forward of passed components
No
 

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?

Not yet recorded.

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