Advanced Mathematical Methods for Civil Engineering
| Code | School | Level | Credits | Semesters |
| MTHS2005 | Mathematical Sciences | 2 | 10 | Spring UK |
- Code
- MTHS2005
- School
- Mathematical Sciences
- Level
- 2
- Credits
- 10
- Semesters
- Spring UK
Summary
The course covers fundamental tools to manipulate complex numbers as well as ordinary and partial differential equations relevant to engineering. The course will cover:
Complex numbers and their application to differential equations.
Second order linear ordinary differential equations (homogeneous and inhomogeneous).
Methods for partial differential equations relevant to Civil Engineering problems.
Target Students
Available to Civil Engineering Part I students.
Co-requisites
Modules you must take in the same academic year, or have taken in a previous year, to enrol in this module:
Classes
- One 1-hour workshop each week for 12 weeks
- One 2-hour lecture each week for 12 weeks
Assessment
- 100% Exam 1 (2-hour): Written exam at the end of the Spring semester.Reassessment: Written examination
Assessed by end of spring semester
Educational Aims
MTHS2005 provides a Part I provision to equip students with both confidence and competence in a range of fundamental advanced mathematical techniques and basis for applying these to the quantitative study and analysis of problems in Civil Engineering. There is a strong emphasis on connecting these with the Civil Engineering courses taken in their second year.Learning Outcomes
Knowledge and understanding of mathematics necessary to support application of key engineering principles. To apply mathematical methods, tools and notations proficiently in the analysis and solution of engineering problems.
A student who completes this course successfully should be able to:
L1 - Understand complex numbers and their use and manipulation in developing enhanced mathematical calculations to solve algebraic equations.
L2 - Understand standard methods to solve second order linear ODEs, including the use of complex numbers.
L3 - Apply initial and boundary values to ODEs, and use these to find solutions to problems relevant to Civil Engineering.
L4 - Understand some important types of PDEs and standard methods to solve them.
Conveners
- James Walton