Advanced Mathematical Methods for Civil Engineering
| Code | School | Level | Credits | Semesters |
| MATH2031 | School of Mathematical Sciences | 2 | 10 | Spring China |
- Code
- MATH2031
- School
- School of Mathematical Sciences
- Level
- 2
- Credits
- 10
- Semesters
- Spring China
Summary
The module covers fundamental tools to manipulate complex numbers as well as ordinary and partial differential equations relevant to engineering. The module will cover:
<li>Complex numbers and their application to differential equations.
<li>Second order linear ordinary differential equations (homogeneous and inhomogeneous).
<li>Methods for partial differential equations relevant to Civil Engineering problems.
Target Students
Civil Engineering Part I students
Classes
- One 2-hour workshop each week for 12 weeks
- One 1-hour lecture each week for 12 weeks
Activities may take place every teaching week of the Semester or only in specified weeks. It is usually specified above if an activity only takes place in some weeks of a Semester
Assessment
- 100% Exam 1 (2-hour): 2-hour written examination
Educational Aims
MATH2031 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 modules 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 module successfully should be able to:
<li>L01 – Understand complex numbers and their use and manipulation in developing enhanced mathematical calculations to solve algebraic equations.
<li>L02 – Understand standard methods to solve second order linear ODEs, including the use of complex numbers.
<li>L03 – Apply initial and boundary values to ODEs, and use these to find solutions to problems relevant to Civil Engineering.
<li>L04 – Understand some important types of PDEs and standard methods to solve them.