This module concerns the mathematical modelling of engineering problems, and introduces students to the Ordinary Differential Equations and software tools (MATLAB) that can be used for such modelling.
Concerning Ordinary Differential Equations (ODEs), the course introduces the students to the following topics:
1. Separable ODEs
2. Linear ODEs
3. Substitution techniques for solving non-linear first order ODEs (e.g. Bernulli equation)
4. Second Order ODEs
5. System of Linear ODEs with constant coefficient
Concerning the use of ODEs in modelling applications, the course introduces the students to the following topics:
1. Mass and Volume balances applied to compartmental problems
2. Energy (heat) balance applied to compartmental problems and one-dimensional problems
Learning Outcomes
By the end of the module students should be able to:
Be able to understand and use various techniques for solving first and second order Ordinary Differential
Be able to apply these techniques for solving typical modelling problems in Chemical Engineering
Demonstrate knowledge and understanding of mathematical principles necessary to underpin their education in engineering and to enable them to apply mathematical methods, tools and notations proficiently in the analysis and solution of engineering problems (UKSPEC US2).
Apply quantitative methods and computer software relevant to engineering, to solve engineering problems (UK SPECE3).
Assessment
33580-01 : Exam : Exam (Centrally Timetabled) - Written Unseen (70%)
33580-02 : Online Test : Class Test (22%)
33580-03 : Online Quiz 1 : Class Test (2%)
33580-04 : Online Quiz 2 : Class Test (2%)
33580-05 : Online Quiz 3 : Class Test (2%)
33580-06 : Online Quiz 4 : Class Test (2%)
Assessment Methods & Exceptions
Assessment:
50% written unseen examination (can be online)
20% quizzes (online), 30% class tests (can be online)
Reassessment:
3h written examination only