Durham University
Programme and Module Handbook

Postgraduate Programme and Module Handbook 2024-2025

Module ENGI47615: Optimisation

Department: Engineering

ENGI47615: Optimisation

Type Tied Level 4 Credits 15 Availability Available in 2024/2025 Module Cap
Tied to H1KA09
Tied to H1KB09
Tied to H1KD09
Tied to H1KE09
Tied to H1KG09
Tied to H1KF09
Tied to H1KH09

Prerequisites

  • <If other modules, please enter module code using 'Right Click, Insert module_code' or enter module title>

Corequisites

  • As specified in programme regulations.

Excluded Combination of Modules

  • As specified in programme regulations.

Aims

  • This module is designed solely for students studying Department of Engineering degree programmes.
  • To understand optimisation and the tools and techniques that can be used to improve engineering systems.
  • To give students the tools and training to recognize optimisation problems that arise in applications.
  • To present the basic theory of such problems, concentrating on results that are useful in applications and computation.
  • To give students a thorough understanding of how such problems are solved, and some experience in solving them.
  • To give students the background required to use the methods in their own research work or applications.

Content

  • Optimisation theory and techniques.
  • Recognizing and solving convex optimization problems that arise in applications.
  • Applications to signal processing, statistics and machine learning, control.

Learning Outcomes

Subject-specific Knowledge:
  • A knowledge and understanding of optimisation theory and techniques.
Subject-specific Skills:
  • An awareness of current analysis methods along with the ability to apply those methods in novel situations.
  • An in-depth knowledge and understanding of specialised and advanced technical and professional skills, an ability to perform critical assessment and review and an ability to communicate the results of their own work effectively.
Key Skills:
  • Capacity for independent self-learning within the bounds of professional practice.
  • Highly specialised numerical skills appropriate to an engineer.
  • Mathematics relevant to the application of advanced engineering concepts.

Modes of Teaching, Learning and Assessment and how these contribute to the learning outcomes of the module

  • Two hour lectures delivered in a single term, structured as one lecture of methods followed by one lecture of exercises.
  • The methodology taught in the first hour would be immediately followed by a second hour of exercises to consolidate student knoweldge and understanding of optimisation theory and techniques.
  • The module content is delivered in lectures and is reinforced by self-learning sessions and formative problem sheets, equipping students with the required problem-solving capability.
  • Students can make use of staff "office hours" to discuss any aspect of the module with teaching staff on a one-to-one basis. These are sign-up sessions available for one hour per week per lecture course.
  • Students will be required to submit formative problem sheets throughout the academic year into the virtual learning environment to check their understanding as the course progresses.
  • Students will be formed into study groups and will attend timetabled self-learning sessions (up to a maximum of two) during the Michalemas and Epiphany terms.
  • A benchmark test will take place at the start of the academic year. This will be used to guage students understanding and direct them to further study as appropriate.
  • A mock exam will take place in the Epiphany term. This will be used to provide students with an exam type experience in a formative setting and allow them to discuss their performance with a member of academic staff.
  • Written timed examinations are appropriate because of the wide range of analytical, in-depth material covered in this module and allow students to demonstrate the ability to solve advanced problems independently as well as that they have deeply engaged with the material.

Teaching Methods and Learning Hours

Activity Number Frequency Duration Total/Hours
Benchmark Test 1 Completed during Induction Week 30 mins 0.5
Lectures 10 Typically 1 per week 2 hours 20
Revision Leacture 1 1 hour 1
Tutorial Hours As required Weekly sign-up sessions Up to 1 hour 12
Self learning session 2 Throughout first two terms 3 hours (includes 1 hour preparation to be completed before attending the session) 6
Practice Exam 1 Epiphany Term 30 mins 0.5
Preparation & reading 110
Total 150

Summative Assessment

Component: Examination Component Weighting: 100%
Element Length / duration Element Weighting Resit Opportunity
Written online examination 2 hours 100% Yes

Formative Assessment:

Formative assessment is provided by means of formative problem sheets, benchmark test and mock examinations.


Attendance at all activities marked with this symbol will be monitored. Students who fail to attend these activities, or to complete the summative or formative assessment specified above, will be subject to the procedures defined in the University's General Regulation V, and may be required to leave the University