Mathematical Methods for Architectural and Environmental Engineering
| Code | School | Level | Credits | Semesters |
| MATH1046 | School of Mathematical Sciences | 1 | 20 | Full year China |
- Code
- MATH1046
- School
- School of Mathematical Sciences
- Level
- 1
- Credits
- 20
- Semesters
- Full year China
Summary
This module 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 module introduces the techniques for solving selected first-order differential equations relevant to the analysis of generic engineering problems. The module 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
BEng (Hons) Architectural Environment Engineering students
Classes
- One 1-hour workshop each week for 24 weeks
- One 2-hour lecture each week for 24 weeks
Assessment
- 5% Inclass Exam 1 (Written): Inclass progress test 1 (autumn)
- 5% Inclass Exam 2 (Written): Inclass progress test 2 (spring)
- 5% Coursework 1: Autumn semester coursework assignment
- 5% Coursework 2: Spring semester coursework assignment
- 80% Exam 1 (3-hour): Written examination
Assessed by end of spring semester
Educational Aims
This module provides a qualifying year provision for Architectural and Environmental engineers, to equip students with both the confidence and competence in a range of fundamental elementary mathematical techniques and basis for advanced mathematical methods used in the quantitative study and analysis of engineering problems. There is a strong emphasis of enabling transition to a University qualifying level environment.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
On successful completion of this module students will be able to:
• L01 – use and manipulate complex numbers;
• L02 – use and manipulate matrix algebra;
• L03 – provide graphical representation and characterisation of curves and functions;
• L04 – apply a range of integration techniques to functions of a single variable;
• L05 - apply differential and integral calculus to simple engineering problems;
• L06 - understand the notion of a partial derivative and to apply this knowledge to consolidate the calculus of functions of two or more variables, with applications;
• L07 - be able to classify and solve a range of first order ordinary differential equations;
• L08 - develop an appreciation of vector algebra and to apply this to practical problems in geometry and engineering;
• L09 – understand and use vector differential operators.