Module Details |
The information contained in this module specification was correct at the time of publication but may be subject to change, either during the session because of unforeseen circumstances, or following review of the module at the end of the session. Queries about the module should be directed to the member of staff with responsibility for the module. |
Title | Numerical Methods for Ordinary and Partial Differential Equations | ||
Code | MATH336 | ||
Coordinator |
Dr P Buividovich Mathematical Sciences Pavel.Buividovich@liverpool.ac.uk |
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Year | CATS Level | Semester | CATS Value |
Session 2024-25 | Level 6 FHEQ | Second Semester | 15 |
Aims |
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Many real-world systems in mathematics, physics and engineering can be described by differential equations. In rare cases these can be solved exactly by purely analytical methods, but much more often we can only solve the equations numerically, by reducing the problem to an iterative scheme that requires hundreds of steps. We will learn efficient methods for solving ODEs and PDEs on a computer. |
Learning Outcomes |
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(LO1) Demonstrate an advanced knowledge of the analysis of ODEs and PDEs underpinning the scientific programming within our context. |
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(LO2) Demonstrate an extended understanding of scientific programming and its application to numerical analysis and to other branches of Mathematics. |
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(LO3) Continuous engagement with putting practical problems into mathematical language. |
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(S1) Numeracy |
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(S2) Problem solving skills |
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(S3) Programming skills |
Syllabus |
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• Review of ODEs and PDEs |
Recommended Texts |
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Reading lists are managed at readinglists.liverpool.ac.uk. Click here to access the reading lists for this module. |
Pre-requisites before taking this module (other modules and/or general educational/academic requirements): |
MATH111 Mathematical IT skills |
Co-requisite modules: |
Modules for which this module is a pre-requisite: |
Programme(s) (including Year of Study) to which this module is available on a required basis: |
Programme(s) (including Year of Study) to which this module is available on an optional basis: |
Assessment |
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EXAM | Duration | Timing (Semester) |
% of final mark |
Resit/resubmission opportunity |
Penalty for late submission |
Notes |
No assessment details provided | 120 | 50 | ||||
CONTINUOUS | Duration | Timing (Semester) |
% of final mark |
Resit/resubmission opportunity |
Penalty for late submission |
Notes |
Canvas quizzes (self-paced) | 0 | 20 | ||||
Homework 3 | 0 | 10 | ||||
Homework 2 | 0 | 10 | ||||
Homework 1 | 0 | 10 |