# Engineering Science

### Stage I

ENGSCI 111
15 Points

Mathematical Modelling 1

Introduction to mathematical modelling. Differentiation and integration (polynomials, trigonometric, exponential, logarithmic, and rational functions). Integration by parts, substitution and partial fractions. Differential equations and their solutions (including Euler's method). Vector and matrix algebra, transformations, solving systems of linear equations. Modelling using probability.

Restriction: ENGSCI 211, 213, 311, 313, 314

### Stage II

ENGSCI 205
15 Points

Special Topic

ENGSCI 211
15 Points

Mathematical Modelling 2

First and second order ordinary differential equations and solutions. Laplace transforms. Taylor series and series in general. Multivariable and vector calculus including divergence, gradient and curl. Further linear algebra. Eigenvalues and eigenvectors. Fourier series. Application of the techniques through appropriate modelling examples. Introductory data analysis and statistics.

Prerequisite: ENGGEN 150, or ENGSCI 111, or a B+ grade or higher in MATHS 108 or 110, or a B+ grade or higher in MATHS 120 and 130

Restriction: ENGSCI 213

ENGSCI 233
15 Points

Computational Techniques and Computer Systems

Introduction to computer architecture and computational techniques. Data representation, memory, hardware, interfacing, and limitations. Numerical computation and algorithms, coding design and paradigms.

Prerequisite: ELECTENG 101 and ENGGEN 131, and ENGGEN 150 or ENGSCI 111

Corequisite: ENGSCI 211 or 213

ENGSCI 255
15 Points

Modelling and Analytics in Operations Research

Emphasises the relationship between business and industrial applications and their associated operations research models. Software packages will be used to solve practical problems. Topics such as: linear programming, transportation and assignment models, network algorithms, queues, inventory models, simulation, analytics and visualisation will be considered.

Prerequisite: 15 points at Stage I in Statistics or Mathematics or Engineering

Restriction: STATS 255

ENGSCI 263
15 Points

Engineering Science Design I

Introduction to concepts of model design for engineering problems, including model formulation, solution procedures, validation, and shortcomings, with examples from topics in computational mechanics, operations research and data science. Further development of problem-solving skills and group project work. The use of computational models to support design-focused decision making while considering ethical and societal factors.

Prerequisite: ENGGEN 115, and ENGGEN 150 or ENGSCI 111

Corequisite: ENGSCI 211 or 213

ENGSCI 299
0 Points

Workshop Practice

Restriction: ENGGEN 299

### Stage III

ENGSCI 309
15 Points

Image and Digital Signal Processing

Fundamentals of image processing and digital signal processing. One dimensional signals and digital filters. Digital filtering with FIR and IIR filters and the Digital Fourier Transform (DFT). Two-dimensional signals, systems and analysis methods. 2D images, spatial sampling, grey-scale quantification, point operations, spatial operations, high pass filtering, sharpening images, noisy images, nonlinear image processing.

Prerequisite: ENGSCI 211 or 213

ENGSCI 311
15 Points

Mathematical Modelling 3

A selection from: ordinary differential equations, systems of equations, analytical and numerical methods, non-linear ODEs, partial differential equations, separation of variables, numerical methods for solving PDEs, models for optimisation, industrial statistics, data analysis, regression, experimental design reliability methods.

Prerequisite: ENGSCI 211

Restriction: ENGSCI 313, 314

ENGSCI 313
15 Points

Mathematical Modelling 3ECE

Complex Analysis, including complex numbers, analytic functions, complex integration, Cauchy's theorem, Laurent series, residue theory; Laplace transforms; Modelling with partial differential equations, including electronic and electrical applications; Fourier Analysis, Fourier transform, Fast Fourier transform; Optimisation, including unconstrained and constrained models, linear programming and nonlinear optimisation.

Prerequisite: ENGSCI 211

Restriction: ENGSCI 311, 314

ENGSCI 314
15 Points

Mathematical Modelling 3ES

Mathematical modelling using ordinary and partial differential equations, calculus of variations and statistical methods. Topics include: eigenvalues, eigenvectors, systems of equations, stability, separation of variables, wave and heat equations, Euler-Lagrange equation, Hamilton’s Principle, probability, random variables, common distributions, Poisson process, exploratory data analysis, confidence intervals, hypotheses tests, linear models including one-way and two-way ANOVA, ANCOVA and multiple regression, introduction to logistic regression.

Prerequisite: ENGSCI 211

Restriction: ENGSCI 311, 313, 321

ENGSCI 331
15 Points

Computational Techniques 2

Methods for computing numerical solutions of mathematical models and data analytics problems with focus on translating algorithms to computer code. A selection of topics from numerical solution of linear and non-linear equations, eigen problems, ordinary and partial differential equations, databases, inverse problems and parameter estimation.

Prerequisite: ENGSCI 233

Corequisite: ENGSCI 311 or 313 or 314

ENGSCI 343
15 Points

Mathematical and Computational Modelling in Mechanics

Development of macroscopic models of physical systems using fundamental mathematical techniques and physical laws. Topics include vector and tensor calculus including indicial notation and integral theorems, conservation laws, control volumes and constitutive equations, continuum assumptions, isotropy and homogeneity. Possible applications include deformation, strain and stress, fluid flow, electromagnetism, reactive chemical transport, and kinetics.

Prerequisite: BIOMENG 221 or MECHENG 242, and ENGSCI 211 or 213

Restriction: BIOMENG 321

ENGSCI 344
15 Points

Computational Design for Physical Systems

Computational engineering solutions to problems involving complex physical systems, using numerical tools commonly used in engineering practice. This will develop skills in: analysing complexity and selecting an appropriate model representation of the physical problem; choosing the correct computational tool with which to solve the model; designing and executing appropriate numerical experiments using the chosen tool; validating, interpreting and communicating the simulation results.

Prerequisite: BIOMENG 321 or ENGSCI 343

Restriction: ENGSCI 746

ENGSCI 355
15 Points

Simulation Modelling for Process Design

Use of simulation models to design complex processes, with an emphasis on practical problem solving and laboratory-based learning.

Prerequisite: ENGSCI 255 or STATS 255

Restriction: OPSRES 385

ENGSCI 363
15 Points

Engineering Science Design II

Application of computational engineering methods combined with optimisation techniques to complex engineering design problems. Group-based integrated design, prototype and test projects that include consideration of societal, ethical and professional engineering factors.

Prerequisite: BIOMENG 241 or ENGSCI 263

Restriction: ENGSCI 773

ENGSCI 391
15 Points

Optimisation in Operations Research

Linear programming, the revised simplex method and its computational aspects, duality and the dual simplex method, sensitivity and post-optimal analysis. Network optimisation models and maximum flow algorithms. Transportation, assignment and transhipment models, and the network simplex method. Introduction to integer programming.

Prerequisite: 15 points from ENGGEN 150, ENGSCI 111, MATHS 208, 250, 253, and 15 points from COMPSCI 101, ENGGEN 131, MATHS 162, STATS 220

Restriction: ENGSCI 765

ENGSCI 700A
15 Points

ENGSCI 700B
15 Points

Research Project - Level 9

An investigation carried out under the supervision of a member of staff on a topic assigned by the Head of Department of Engineering Science. A written report on the work must be submitted.

To complete this course students must enrol in ENGSCI 700 A and B

ENGSCI 701
15 Points

Studies in Engineering Science

An advanced course on topics to be determined each year by the Head of Department of Engineering Science.

Prerequisite: Departmental approval

ENGSCI 705
15 Points

Special Topic

ENGSCI 706
15 Points

Special Topic

ENGSCI 711
15 Points

A selection of modules on mathematical modelling methods in engineering, including theory of partial differential equations, integral transforms, methods of characteristics, similarity solutions, asymptotic expressions, theory of waves, special functions, non-linear ordinary differential equations, calculus of variations, tensor analysis, complex variables, wavelet theory and other modules offered from year to year.

Prerequisite: 15 points from ENGSCI 311, 313, 314

ENGSCI 712
15 Points

Computational Algorithms for Signal Processing

Advanced topics in mathematical modelling and computational techniques, including topics on singular value decomposition, Principle Component Analysis and Independent Component Analysis, eigen-problems, and signal processing (topics on neural network models such as the multi-layer perception and self organising map).

Prerequisite: 15 points from ENGSCI 311, 313, 314

ENGSCI 713
15 Points

Mathematical Modelling for Professional Engineers

Mathematical modelling techniques required by professional engineers, such as partial and ordinary differential equations, differentiation and integration, vector calculus, linear algebra, analytical and numerical methods, industrial statistics, and data analysis.

Prerequisite: ENGSCI 211 or 213

Restriction: ENGSCI 311, 313, 314

ENGSCI 721
15 Points

Data-centric Engineering for Physical Systems

Mathematical modelling of complex physical systems, including model development, parameterisation and evaluation, illustrated using examples from current research and industry. Inverse problems and uncertainty quantification for physical models in engineering and science, including principles of uncertainty propagation for linear and nonlinear physical models given real-world data, and connections to physics-informed machine learning.

Prerequisite: Departmental approval

ENGSCI 740
15 Points

Computational Engineering for Physical Systems

Principles and practice for modelling complex physical systems. Applications in biomechanics, fluid mechanics and solid mechanics. Including topics such as large deformation elasticity theory applied to soft tissues, inviscid flow theory, compressible flows, viscous flows, meteorology, oceanography, coastal ocean modelling, mixing in rivers, fracture, composite materials and geomechanics. Underlying theories, computational techniques and industry applications explored using commercial software.

Prerequisite: BIOMENG 321 or ENGSCI 343

ENGSCI 741
15 Points

Waves and Fracture

Advanced topics in mechanics including: waves and wave motion with applications to acoustics, optics, fluid flow problems and shock discontinuities using numerical methods. Fracture: modes of, displacement discontinuity in linear elasticity, stress intensity factor, spectral solution methods, finite friction. Applications include: hydraulic fracturing, earthquakes, macroscale strength of materials.

Prerequisite: BIOMENG 321 or ENGSCI 343

ENGSCI 742
15 Points

Studies in Continuum Mechanics

An advanced course in continuum mechanics covering topics in the mechanics of solids and fluids and other continua.

Prerequisite: Departmental approval

ENGSCI 745
15 Points

Petroleum Engineering

Interdisciplinary introduction to topics in geology, geophysics, reservoir engineering, drilling and production engineering relevant to the production of oil and gas. Mathematical models of multiphase fluid flow in porous media. Reservoir engineering tools for analysis and forecasting of reservoir performance. Unconventional petroleum resources.

Prerequisite: 15 points from ENGSCI 311, 313, 314

ENGSCI 746
15 Points

Advanced Modelling and Simulation in Computational Mechanics

Solution of real-world continuum mechanics problems using computational tools commonly used in engineering practice. Develops skills in analysing complexity; selecting a model representation of the physical problem; choosing the correct computational tool to solve the model; designing and executing appropriate numerical experiments; validating, interpreting and communicating simulation results. Advanced solver methods, and modelling of advanced materials such as large-deformation elastic/plastic materials.

Prerequisite: BIOMENG 321 or ENGSCI 343

Restriction: ENGSCI 344

ENGSCI 753
15 Points

Computational Techniques in Mechanics and Bioengineering

Theoretical and applied finite element and boundary element methods for static and time dependent problems of heat flow, bioelectricity, linear elasticity and non-linear mechanics.

Prerequisite: ENGGEN 131 or equivalent, and 15 points from ENGSCI 311, 313, 314

ENGSCI 755
15 Points

Decision Making in Engineering

Introduction to techniques for decision making in engineering systems including decision heuristics, simple prioritisation, outranking approaches, analytic hierarchy process, application to group decision making.

Prerequisite: Departmental approval

ENGSCI 760
15 Points

Algorithms for Optimisation

Meta-heuristics and local search techniques such as Genetic Algorithms, Simulated Annealing, Tabu Search and Ant Colony Optimisation for practical optimisation. Introduction to optimisation under uncertainty, including discrete event simulation, decision analysis, Markov chains and Markov decision processes and dynamic programming.

Prerequisite: COMPSCI 101 or ENGGEN 131

ENGSCI 761
15 Points

Integer and Multi-objective Optimisation

Computational methods for solving optimisation problems. Algorithms for integer programming including branching, bounding, cutting and pricing strategies. Algorithms for linear and integer programmes with multiple objective functions.

Prerequisite: ENGSCI 391 or 765

ENGSCI 762
15 Points

Scheduling and Optimisation in Decision Making

A course of advanced topics arising in the practical application of optimisation models for machine and resource scheduling, routing applications, staff rostering and performance measurement.

Prerequisite: ENGSCI 391 or 765

ENGSCI 763
15 Points

Advanced simulation topics with an emphasis on optimisation under uncertainty. Uniform and non-uniform random variate generation, input distribution selection, output analysis, variance reduction. Simulation-based optimisation and stochastic programming. Two-stage and multi-stage programs with recourse. Modelling risk. Decomposition algorithms. Scenario construction and solution validation.

Prerequisite: ENGSCI 391 or 765

ENGSCI 765
15 Points

Linear programming, the revised simplex method and its computational aspects, duality and the dual simplex method, sensitivity and post-optimal analysis. Network optimisation models and maximum flow algorithms. Transportation, assignment and transhipment models, and the network simplex method. Integer programming. The implementation and solution of optimisation models for practical applications.

Prerequisite: 15 points from ENGGEN 150, ENGSCI 111, MATHS 208, 250, 253, and 15 points from COMPSCI 101, ENGGEN 131, MATHS 162, STATS 220

Restriction: ENGSCI 391

ENGSCI 768
15 Points

Advanced Operations Research and Analytics topics including selected theory, algorithms and applications for non-linear programming, smooth and non-smooth optimisation, equilibrium programming and game theory.

Prerequisite: ENGSCI 391 or 765

ENGSCI 772
15 Points

Whole Organ Modelling

Advanced computational modelling of whole organs with an emphasis on integrative physiology and coupled field problems in bioengineering. Finite deformation elasticity theory and computational aspects. Current flow in excitable tissue. Finite element collocation techniques. Coupled finite element – boundary element problems.

Prerequisite: BIOMENG 321 or ENGSCI 343

ENGSCI 773
15 Points

Capstone Project

Engineering science projects that require the application and integration of material taught in courses for the design of solutions requiring computational engineering, data analytics and operations research to meet client needs. Projects also require consideration of ethical issues, social impact, safety risks, and engineering practice.

Prerequisite: 60 points from courses listed in Part III of the BE(Hons) Schedule for Engineering Science

Restriction: ENGSCI 363

ENGSCI 787
15 Points

Project X - Level 9

Students are required to submit a report on a topic assigned by the appropriate Head of Department.

Prerequisite: Departmental approval

ENGSCI 788A
15 Points

ENGSCI 788B
15 Points

Project Y - Level 9

Students are required to submit a report on a topic assigned by the appropriate Head of Department.

Prerequisite: Departmental approval

To complete this course students must enrol in ENGSCI 788 A and B

ENGSCI 789
30 Points

Project Z - Level 9

Students are required to submit a report on a topic assigned by the appropriate Head of Department.

Prerequisite: Departmental approval

ENGSCI 793A
45 Points

ENGSCI 793B
45 Points

Thesis (Operations Research and Analytics) - Level 9

Prerequisite: Departmental approval

To complete this course students must enrol in ENGSCI 793 A and B

ENGSCI 794A
30 Points

ENGSCI 794B
60 Points

Thesis (Operations Research and Analytics) - Level 9

Prerequisite: Departmental approval

To complete this course students must enrol in ENGSCI 794 A and B

ENGSCI 795
45 Points

ENGSCI 795A
15 Points

ENGSCI 795B
30 Points

Research Project - Level 9

Prerequisite: Departmental approval

To complete this course students must enrol in ENGSCI 795 A and B, or ENGSCI 795

ENGSCI 796A
60 Points

ENGSCI 796B
60 Points

Thesis - Level 9

Prerequisite: Departmental approval

To complete this course students must enrol in ENGSCI 796 A and B

Top