- UCAS course code
- H803
- UCAS institution code
- M20
Course unit details:
Engineering Mathematics 3
| Unit code | CHEN20041 |
|---|---|
| Credit rating | 10 |
| Unit level | Level 2 |
| Teaching period(s) | Semester 1 |
| Available as a free choice unit? | No |
Overview
- First-, second- and higher-order ordinary differential equations.
- Role of initial and boundary conditions.
- A range of solutions to first-, second- and higher-order differential equations will be covered with and without constant coefficients.
- Application of differential equations to Physical and Chemical Engineering examples.
- Partial differential equations.
- Characterization of solutions.
- Double and triple integrals and their applications for calculating surface areas and volumes.
- Cartesian, polar and spherical coordinates.
- Converting integrals from Cartesian to polar or spherical coordinates.
- Complex integrals and their solutions.
- Gamma and Beta functions.
Pre/co-requisites
| Unit title | Unit code | Requirement type | Description |
|---|---|---|---|
| Engineering Mathematics 1 | CHEN10011 | Pre-Requisite | Compulsory |
| Engineering Mathematics 2 | CHEN10072 | Pre-Requisite | Compulsory |
Aims
The unit aims to:
Provide an introduction to the methods of integration and solution of ordinary differential equation systems arising from the mathematical modelling of chemical engineering applications.
Learning outcomes
ILO: 1 Explain how both differential equations and integration can arise in the process of setting up mathematical models.
ILO 2: Approximate solutions of a differential equation.
ILO 3: Compare different methods and chose a suitable method for solving differential equations.
ILO 4: Assess the accuracy and limitation of solutions.
ILO 5: Apply the ideas and concepts to systems of differential equations.
ILO 6: Apply techniques within this unit to solve engineering problems.
Teaching and learning methods
Lectures provide fundamental aspects supporting the critical learning of the module and will be delivered as pre-recorded asynchronous short videos via our virtual learning environment.
Synchronous sessions will support the lecture material with Q&A and problem-solving sessions where you can apply the new concepts. Surgery hours are also available for drop-in support.
Students are expected to expand the concepts presented in the session and online by additional reading (suggested in the Online Reading List) in order to consolidate their learning process and further stimulate their interest to the module.
Study budget:
- Core Learning Material (e.g. recorded lectures, problem solving sessions): 24 hours
- Self-Guided Work (e.g. continuous assessment, extra problems, reading): 44 hours
- Exam Style Assessment Revision and Preparation: 32 hours
Assessment methods
Assessment Types | Total Weighting |
| Mid-semester exam style assessment | 20% |
Exam style assessments | 80% |
Please note that the exam style assessments weighting may be split over midterm and end of semester exams.
Feedback methods
Feedback on problems and examples, feedback on coursework and exams, and model answers will also be provided through the virtual learning environment. A discussion board provides an opportunity to discuss topics related to the material presented in the module.
Recommended reading
Reading lists are accessible through the Blackboard system linked to the library catalogue.
Study hours
| Scheduled activity hours | |
|---|---|
| Lectures | 24 |
| Independent study hours | |
|---|---|
| Independent study | 76 |
Teaching staff
| Staff member | Role |
|---|---|
| Samuel De Visser | Unit coordinator |