Course details

ENGGEN 140 - Engineering Biology and Chemistry (15 points)
Introduction to chemical and biological systems. The application of engineering analysis and design techniques to facilitate understanding the multiscale structure, function and interactions of such systems. The use of case studies to illustrate systems approaches to chemistry and biology.

ENGGEN 150 - Advanced Mechanics and Mathematical Modelling  (15 points)
An accelerated course replacing ENGGEN 121 and ENGSCI 111 for well-prepared and conjoint students. Topics include: Free body diagrams, equilibrium of rigid bodies, internal forces, shear force and bending moment diagrams, work and energy, motion of particles and rigid bodies. Introduction to mathematical modelling. Differentiation and integration, numerical integration. Differential equations, Vector and matrix algebra. Introduction to probability.
Restriction: ENGGEN 121, ENGSCI 111

ENGGEN 131 - Introduction to Engineering Computation and Software Development (15 points)
Introduction to problem solving in engineering through the use of the software package MATLAB, and the high level programming language C.
Restriction: ENGSCI 233, 331

ENGSCI 111 - Mathematical Modelling 1 (15 points)
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

BIOMENG 221 - Mechanics of Biomaterials (15 points)
The principles of mechanics and the special circumstances associated with applying these principles to living and prosthetic structures will be presented. Topics include: introduction to linear elasticity, stresses and strains specific to direct and torsional loading, material constitutive relationships (including anisotropy, nonlinearity, and viscoelasticity), axial and transverse loading of bone, pressure loading of the heart, and theories of failure.
Restriction: ENGSCI 274

BIOMENG 241 - Instrumentation and Design (15 points)
An introduction to engineering instrumentation related to the measurement of biological signals. Topics include: Fundamentals of measurement systems (electric circuits, basic electronics, frequency domain signal analysis and transient analysis, measurement systems). This course will cover the design methodology of instrumentation systems and include an instrumentation design project.
Prerequisite: ELECTENG 101
Restriction: BIOMENG 233

ENGSCI 211 - Mathematical Modelling 2 (15 points)
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: ENGSCI 111 or ENGGEN 150 or MATHS 108 or MATHS 150 or MATHS 153
Restriction: ENGSCI 212, 213

ENGSCI 213 - Mathematical Modelling 2SE (15 points)
Probability theory, random variables and distributions, statistics, linear algebra, discrete mathematics possibly including graph theory, trees and networks, optimisation.
Restriction: ENGSCI 211, 212

ENGSCI 233 - Computational Techniques and Computer Systems (15 points)
Introduction to digital electronics, computer organisation and computational techniques. Digital gates, combinatorial and synchronous circuits, data representation, instruction sets, memory, hardware, interfacing. Numerical computation, numerical algorithms.
Prerequisite: ENGSCI 111 or ENGGEN 150, and ENGGEN 131 and ELECTENG 101
Corequisite: ENGSCI 211 or 213
Restriction: BIOMENG 233

ENGSCI 255 - Modelling in Operations Research (15 points)
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 and simulation will be considered.
Prerequisite: at Stage I in Statistics, Mathematics or Engineering
Restriction: STATS 255

ENGSCI 263 - Modelling and Design 1 (15 points)
Introduction to concepts of modelling of engineering problems, including model formulation, dimensional analysis, solution procedures, comparisons with reality, and shortcomings, with examples from elementary mechanics, structures, hydrostatics, one-dimensional heat, diffusion and fluid motion. Further development of problem-solving skills and group project work. The use of computer tools in engineering design, including advanced spreadsheeting integrated with solid modelling.
Prerequisite: ENGSCI 111 or ENGGEN 150, and ENGGEN 115
Corequisite: ENGSCI 211 or 213
Restriction: ENGSCI 261, 262

BIOMENG 321 - Continuum Modelling in Bioengineering (15 points)
An introduction to continuum modelling approaches to bioengineering problems across a range of spatial scales. Topics include: mathematical modelling of gene regulation; molecular and cellular mechanics of striated muscle, nerve and cardiac cellular and tissue electrophysiology; and finite deformation elasticity and constitutive laws of soft biological materials; vascular networks and flow.
Restriction: ENGSCI 371

BIOMENG 341 - Bioinstrumentation and Design (15 points)
Sensors and actuators (temperature, position, force, pressure, flow, bioelectric, optical sensors and instruments). Signals, systems and controls (s-domain signal notation, transfer functions, frequency response functions, block diagrams, the Laplace transform, first and second order systems, characterisation methods, fundamentals of control). Bioinstrumentation design methodology, Biomedical instrumentation design project.
Restriction: ENGSCI 372, 373

ENGSCI 313 - Mathematical Modelling 3ECE (15 points)
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, 312, 314

ENGSCI 314 - Mathematical Modelling 3ES (15 points)
Mathematical modelling using ordinary and partial differential equations. Probability. Conditional probability, random variables as models of a population, common distribution models, the Poisson process, applications to reliability. Exploratory data analysis, confidence intervals, tests of hypothesis, t-tests, sample tests and intervals, paired comparisons. Introduction to one-way ANOVA. Linear and polynomial regression, regression diagnostics.
Prerequisite: ENGSCI 211
Restriction: ENGSCI 311, 312, 313, 321

ENGSCI 343 - Fundamentals of Continuum Mechanics (15 points)
Vector calculus and integral theorems. Continuum hypothesis, indicial notation, deformation, strain, traction, stress, principal directions, tensors, invariants, constitutive laws, isotropy, homogeneity. Navier-Stokes and Navier's equations. Isotropic elasticity, elastic moduli, plane stress and plane strain. Airy stress function, Viscous flow, simple solutions of the Navier-Stokes equations. Flow over flat plates, boundary layers. Ideal flow, velocity potential, stream function, 2-D flows.
Prerequisite: BIOMENG 221 or ENGSCI 263
Restriction: ENGSCI 341, 342

ENGSCI 391 - Optimisation in Operations Research (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, maximum flow, shortest path and spanning tree algorithms. Transportation, assignment and transhipment models, and the network simplex method.
Prerequisite: 15 points from ENGGEN 150, ENGSCI 111, MATHS 208, 230, 250, 253, and one of COMPSCI 101, ENGGEN 131, ENGSCI 131, MATHS 162, STATS 220
Restriction: STATS 391

ENGSCI 311 - Mathematical Modelling 3 (15 points)
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 312, 313, 314

ENGSCI 331 - Computational Techniques 2 (15 points)
Numerical algorithms and their translation to computer code. A selection of topics from numerical solution of linear equations, eigen problems, ordinary differential equations, numerical integration, nonlinear equations, finite differences and partial differential equations.
Prerequisite: ENGSCI 233
Corequisite: ENGSCI 311 or 313 or 314

ENGSCI 355 - Applied Modelling in Simulation and Optimisation (15 points)
Use of optimisation modelling languages and simulation software, with an emphasis on practical problem solving and laboratory-based learning.
Prerequisite: 15 points from ENGSCI 255, STATS 255
Restriction: OPSRES 385, 392

ENGSCI 363 - Modelling and Design 2 (15 points)
Applications of elasticity and fluid dynamics theory to engineering problems including design and analysis of mechanical assemblies. Group projects to formulate design proposals, including costings for development and manufacture. Underlying Finite Element Modelling (FEM) and Continuum Mechanics concepts. Utilisation of 3D CAD and FEM software during both design and analysis phases.
Prerequisite: ENGSCI 343
Restriction: ENGSCI 342, 361

ENGSCI 700A - Research Project (15 points)
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.
Restriction: ENGSCI 400
To complete this course students must enrol in ENGSCI 700 A and B

ENGSCI 711 - Advanced Mathematical Modelling (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: ENGSCI 311 or 312 or 313 or 314
Restriction: ENGSCI 414, 415

ENGSCI 740 - Advanced Continuum Mechanics 1 (15 points)
Applications of continuum mechanics to problems 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 and estuaries. Fracture, composite materials and geomechanics.
Prerequisite: ENGSCI 363 or Departmental approval
Restriction: ENGSCI 440

ENGSCI 753 - Computational Techniques in Continuum Mechanics and Bioengineering (15 points)
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: ENGSCI 311 or 312 or 313 or 314
Restriction: ENGSCI 450, 451, 471

ENGSCI 760 - Algorithms for Optimisation (15 points)
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.
Restriction: ENGSCI 450, 451, 460

ENGSCI 761 - Integer, Non-linear and Multi-objective Optimisation (15 points)
Computational methods for solving optimisation problems, including branch and bound and cutting plane methods for integer programming. Algorithms for multiple objective functions. Nonlinear optimisation.
Prerequisite: 15 points from ENGSCI 391, STATS 391
Restriction: ENGSCI 450, 451, 460

ENGSCI 762 - Scheduling and Optimisation in Decision Making (15 points)
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: 15 points from ENGSCI 391, STATS 391
Restriction: ENGSCI 463

ENGSCI 700B - Research Project (15 points)
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.
Restriction: ENGSCI 400
To complete this course students must enrol in ENGSCI 700 A and B

ENGSCI 712 - Computational Algorithms for Signal Processing (15 points)
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: ENGSCI 314 and 331
Restriction: ENGSCI 416, 452

ENGSCI 741 - Advanced Continuum Mechanics 2 (15 points)
Turbulence and turbulence modelling. Advanced numerical techniques in computational fluid dynamics (CFD). Application of CFD to environmental flows and aerodynamics. A variety of topics in engineering solid mechanics which could include composite materials, geomechanics, contact mechanics, fracture mechanics, rheology, thermomechanics, constitutive theory and computational methods.
Prerequisite: ENGSCI 363 or Departmental approval
Restriction: ENGSCI 442, 443

ENGSCI 745 - Petroleum Engineering (15 points)
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: ENGSCI 311, 313 or 314

ENGSCI 763 - Advanced Simulation and Stochastic Modelling (15 points)
Models for planning under uncertainty. Two-stage and multi-stage programs with recourse. Decomposition methods. Scenario construction and solution validation. Advanced simulation topics including uniform and non-uniform random variate generation, input distribution selection, discrete-event simulation models, output analysis, variance reduction, optimisation and simulation.
Prerequisite: 15 points from ENGSCI 391, STATS 391
Corequisite: ENGSCI 760
Restriction: ENGSCI 461, 464

ENGSCI 765 - Studies in Operations Research 1 (15 points)
Subtitle: Decision Making in Engineering
Introduction to practical decision making problems in Engineering. Introduction to different techniques that support decision making. Application of those techniques in Engineering case studies and discussion of their strengths and weaknesses. Students individually working through different case studies and giving short presentations of those. Topics include: simple prioritisation, outranking approaches, analytic hierarchy process, application to group decision making, consistent decision making.
Prerequisite: Departmental approval required

ENGSCI 768 - Research Topics in Operations Research 1 (15 points)
Includes selected topics from non-linear programming, decomposition, integerisation, combinatorial optimisation, stochastic optimisation, game theory, smooth and non-smooth optimisation, multicriteria decision making.
Prerequisite: 15 points from ENGSCI 391, STATS 391
Corequisite: ENGSCI 761
Restriction: ENGSCI 791, 792

ENGSCI 772 - Whole Organ Modelling (15 points)
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: PHYSIOL 210 or MEDSCI 205, ENGSCI 371 or BIOMENG 321
Restriction: ENGSCI 472

GEOTHERM 601 - Geothermal Resources and Their Use (15 points)
Worldwide occurrence of geothermal systems, introductory geology, volcanoes and volcanic rocks, New Zealand geothermal systems, structure of the TVZ, hydrothermal alteration, permeability and porosity, introduction to geochemistry of geothermal systems, geothermal surface manifestations, water compositions, geothermometry, silica geochemistry, overview of geophysics for geothermal exploration, geothermal resource assessment.

GEOTHERM 602 - Geothermal Energy Technology (15 points)
Worldwide geothermal development, types of geothermal systems, thermodynamics, properties of water and steam tables, heat transfer, fluid mechanics, steam-field equipment, geothermal power stations, geothermal drilling, wellbore processes, completion tests, downhole measurements, reinjection, corrosion, stored heat, Darcy's law, cold groundwater, geothermal reservoirs, direct use, reservoir modelling, reservoir monitoring and steam-field management.

GEOTHERM 603 - Geothermal Exploration (15 points)
Hydrothermal alteration, clays, fluid inclusions, direct use, subsidence, scaling and corrosion in geothermal wells, production geochemistry, environmental aspects of geothermal development, feasibility study, physical properties of rocks and self-potential (SP), magnetics, thermal methods, gravity, seismic methods, electrical methods, magneto-tellurics (MT).

GEOTHERM 620 - Geothermal Engineering (15 points)
Completion tests, wellbore flow, two-phase flow, geothermal power cycles, flow measurements, direct use of geothermal energy, environmental effects, scaling and corrosion in geothermal wells, drilling engineering, flow measurements, steam-field operation and maintenance, subsidence, waste heat rejection, heat exchangers, geothermal well-test analysis, stimulation, pipeline design, feasibility study, reservoir modelling theory, TOUGH2, reservoir modelling process, case study (data and conceptual model, natural state modelling), Wairakei model.

GEOTHERM 689 - Geothermal Project (15 points)
Based on a study using field, lab or theoretical methods, students are required to submit a report on some aspect of geothermal exploration, development or exploitation.