Mathematics
This module builds upon the knowledge gained from the second year of the programme and introduces new mathematical concepts and techniques in analytical and numerical methods
Computing
This component builds upon the knowledge gained from the Computing Module taken in Years 1 and 2.
The learner will cover a range of topics to enhance his/her numerical and problem-solving skills using spreadsheets.
This is an introductory module in numerical analysis using spreadsheets and will equip the learner with the tools and techniques necessary to analyse a problem and construct a solution using spreadsheets.
Mathematics
- Differential Equations:
Analytical solutions of first order Differential Equations using separation of variables and use of integrating factor.
General and particular solutions to second order non-homogeneous differential equations.
- Numerical Methods:
Solution of first order differential equations by Runge Kutta numerical method .
- Hyperbolic functions:
Properties and graphs of hyperbolic functions. Differentiation of hyperbolic functions. Solution of equations involving hyperbolic and inverse hyperbolic functions, catenary.
- Curvature:
Radius of curvature of curves defined parametrically.
Computing
- Linear Regression:
Linear Regression Using Both Function and Trend Line Techniques; Other Two-Coefficient Linear Regression Models; Polynomial Regression; Engineering Applications.
- Iterative Methods:
Using Excel’s Solver to Solve Roots of Equations; Including Constraints with Solver; Solving Optimisation Problems; Solving Nonlinear Regression Problems with Solver; Engineering Applications.
- Numerical Differentiation:
Numerical Differentiation Methods; Common Finite-Difference Forms; Filtering Data Using Both Moving Average and Exponential Smoothing; Curve Fitting and Differentiation; Engineering Applications.
- Numerical Integration:
Numerical Integration Methods Using Rectangles, Trapezoids and Simpson’s Rule; Regression Equations for Integration; Engineering Applications.
- Matrix Operations:
Matrix Manipulations; Vectors, Matrices and Arrays; Solving Systems of Linear Equations. Engineering Applications.
Mathematics
Instruction will consist of lectures and tutorials each week.
The emphasis on course delivery will be ‘hands-on’, problem solving using problem-based worksheets, tutorials.
Computing
This component will be delivered as laboratory sessions.
The laboratory provides an environment for the learner to develop, experiment with and explore the various techniques and principles in the module.
Outside work will be necessary as laboratory exercises may require more than the time allocated for the laboratory session to complete.
| Module Content & Assessment | |
|---|---|
| Assessment Breakdown | % |
| Formal Examination | 55 |
| Other Assessment(s) | 45 |