Aeronautical Engineering (MEng)
Computing and Numerical Methods 1
This course introduces basic computing and programming skills for the solution of engineering problems. Assuming no prior knowledge, it introduces students to the key constructs and thought processes required in order to construct complex algorithms using the MATLAB and Python scripting languages. Numerical methods for interpolation, numerical integration and root finding are discussed and implemented.
On successfully completing this module students should be able to:
1. explain the limitations in computation associated with finite precision;
2. demonstrate understanding of and implement the essential procedural programming constructs in MATLAB and Python;
3. translate mathematical problems into algorithms suitable for programming implementation;
4. apply iterative processes of root finding and understand reasons for their convergence
5. apply interpolation and numerical integration techniques for the solution of engineering problems;
Basic computing: Computing fundamentals, Storing Numbers on a Computer: Binary. Rounding errors. Implications for numerical computations, Introduction to programming
MATLAB: The MATLAB environment, help system, basic calculations, graphics and file I/O, control structures, loops, vectors and arrays, scripts and functions, good programming style
Python: Running Python, types and variables, basic syntax, containers and modules
Numerical Methods: Interpolation, Numerical Integration, Solution of Nonlinear Equations
The instruction of programming is carried out using a flipped-classroom approach. Prior to the tutorial session, you will review a pre-recorded lecture and test your understanding by solving short exercises through an online portal. During the 2-hour in-class tutorial that follows, you will have the opportunity to discuss the solution of the online self-assessment with the tutor and raise any questions. A problem sheet is then attempted, with tutors available to answer questions.
For the part of the module addressing numerical methods, you will be introduced to the fundamental idea behind the methods using large whole class lectures, with half-class tutorial sessions, held in computer labs, used to apply and reinforce your understanding.
|Assessment type||Assessment description||Weighting||Pass mark|
|Examination||MATLAB Mastery Test||30%||40%|
|Examination||Python Mastery Test||10%||40%|
|Examination||Numerical Methods MCQ||10%||40%|
You will be offered opportunities to receive both structured and opportunistic feedback. Through the weekly programming tutorials, you will be able to self-assess your progress and understanding, as well as ask for feedback from the class tutors.
Written feedback will be provided for your submission for the project and your in-class test submission.
Further individual feedback is available on request via this module’s online feedback forum and staff office hours.
Seventh edition., Amsterdam : Academic Press
2nd ed., Cambridge : Cambridge University Press
5th edition., Heidelberg : Springer
Second edition., John Wiley & Sons Inc
7th ed., International ed., Brooks/Cole Cengage Learning