Mathematical Methods for Civil Engineering
| Code | School | Level | Credits | Semesters |
| MATH1031 | School of Mathematical Sciences | 1 | 20 | Full year China |
- Code
- MATH1031
- School
- School of Mathematical Sciences
- Level
- 1
- Credits
- 20
- Semesters
- Full year China
Summary
The module covers fundamental tools to manipulate vectors and matrices relevant to applications in engineering, and introduces fundamental concepts and applications of differentiation and integration in one and more dimensions. The module will cover:
Calculus of functions of one variable.
Vector and matrix algebra, with application to systems of linear equations.
Eigenvalues and eigenvectors of matrices.
Partial derivatives and application to stationary points and Taylor series.
Gradient, divergence and curl of fields.
Multiple integrals.
First order ordinary differential equations.
Target Students
Qualifying year students in Civil Engineering.
Classes
- One 2-hour workshop each week for 24 weeks
- One 1-hour lecture each week for 24 weeks
Each week there will normally be 2 lectures to introduce key mathematical knowledge/ideas/techniques on module topics. In addition, there will be a weekly problem class, with worked examples to facilitate solving of problems/tutorial/problem class and problem sheets to provide students with the opportunity to gain individual help understanding module topics.
Assessment
- 50% Exam 1 (2-hour): 2-hour written examination (Autumn)
- 50% Exam 2 (2-hour): 2-hour written examination (Spring)
Educational Aims
MATH1031 provides a qualifying year provision to equip students with both 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 problems in Civil Engineering. 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.
A student who completes this module successfully should be able to:
L01 - Use extended techniques of differential and integral calculus, typically used in solving engineering problems.
L02 - Manipulate vectors to solve geometric problems in engineering.
L03 - Apply matrix algebra techniques to analyse efficiently and solve systems of equations and algebraic eigenvalue problems.
L04 - Classify and solve a range of standard-type first order ordinary differential equations.
L05 - Understand and apply basic differential calculus associated with functions of several variables.
L06 - Understand the use of vector differential operators and their application to scalar and vector fields.
L07 - Solve standard types of first-order differential equations.
L08 – Integrate functions of two variables in cartesian and polar coordinates.