Mathematical Methods for Architectural and Environmental Engineering
| Code | School | Level | Credits | Semesters |
| MTHS1007 | Mathematical Sciences | 1 | 20 | Full Year UK |
- Code
- MTHS1007
- School
- Mathematical Sciences
- Level
- 1
- Credits
- 20
- Semesters
- Full Year UK
Summary
This course introduces the algebra of complex numbers to provide a key mathematical tool for analysis of linear mathematical and engineering problems. The complexity of solving general (large) systems of equations is introduced and their study using matrix techniques. The calculus of a single variable is reviewed and extended to develop techniques used in the analysis of engineering problems:
- algebra of complex numbers;
- matrix algebra and its applications to systems of equations and eigenvalue problems;
- functions and their properties;
- advanced differential and integral calculus of one variable.
Furthermore, this course introduces the techniques for solving selected first-order differential equations relevant to the analysis of generic engineering problems. The course also provides mathematical tools in terms of advanced differential calculus and vectors for modelling of generic engineering situations given in terms of multi-dimensional models:
- first-order ordinary-differential equations;
- vector spaces and their applications;
- differential calculus of functions of several variables;
- vector calculus.
Target Students
BSc, BEng and MEng students in the Faculty of Engineering.
Classes
- One 1-hour workshop each week for 11 weeks
- One 2-hour lecture each week for 11 weeks
Weekly: Normally 2 lectures to introduce key mathematical knowledge, ideas and techniques. Alternate weeks: 1 hour of worked examples for solving of problems or a tutorial/problem class for provision of individual help with understanding course topics, clarification of lecture notes or support in developing problem solving skills. Optional weekly 1-hour (clinic) sessions for individual support.
Assessment
- 5% Coursework 1: Problems-based assignments
- 5% Inclass Exam 1 (Written)
- 5% Coursework 2: Problems-based assignment
- 5% Inclass Exam 2 (Written)
- 80% Exam 1 (3-hour)
Assessed by end of spring semester