Department of Architecture & Civil Engineering, Unit Catalogue 2010/11 |
AR20386: Mathematics 2 |
 Credits:
| 6 |
| Level:
| Intermediate |
| Period: | This unit is available in... |
| Semester 1 |
| Assessment:
| EX100 |
| Supplementary Assessment: | Supplementary assessment information not currently available (this will be added shortly) |
| Requisites:
| |
| Description:
| Aims: To provide a general mathematical basis for the development of engineering subjects at second year level of the civil engineering programmes, and preparation for year 3 work. Learning Outcomes: On successful completion of the unit, the student will be able to demonstrate an understanding and ability to use the following techniques, as detailed in the 'Contents': * Ordinary Differential equations; * Functions of several variables; * Numerical Methods. Skills: An understanding of the mathematical tools used in engineering analysis and how they can be applied to civil engineering problems. Content: Ordinary Differential equations Simple first order using separation of variables and integrating factor. Linear equations with constant coefficients using trial method for particular integral. Simultaneous equations. Application of differential equations to mechanical systems and structural problems. Functions of several variables: Multiple Integration, Partial differentiation. Separation of variables, Laplace's equation, diffusion and wave equations. Fourier series Full and half-range series. Odd and even functions, odd harmonics. Numerical Methods: Method of least squares, Finite differences, interpolation using Lagrange and Newton difference formulae. Error estimation, splines, Numerical solution of ordinary differential equations. Euler, improved Euler, Runge-Kutta methods. Accuracy and stability. Initial and boundary value problems. Numerical integration. Root finding Newton Raphson, Secant method. Use of computers in solving engineering mathematics problems. |