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Showing 25 course outlines from 1580 matches
851
MATHS 361
: Partial Differential Equations2024 Semester One (1243)
Partial differential equations (PDEs) are used to model many important applications of phenomena in the real world such as electric fields, diffusion and wave propagation. Covers linear PDEs, analytical methods for their solution and weak solutions. Recommended preparation: MATHS 253
Prerequisite: MATHS 250, 260
852
MATHS 363
: Advanced Computational Mathematics2024 Semester One (1243)
Finite element methods, calculus of variations and control theory are key mathematical tools used to model, compute approximations to model solutions and to understand the control of real-world phenomena. These topics share the same mathematical foundations and can all be described as variational methods. The course offers advanced techniques to handle complicated geometries and optimise desired objectives in applications modelled using differential equations. Recommended preparation: MATHS 253
Prerequisite: MATHS 260 and 270
853
MATHS 399
: Capstone: Mathematics2024 Semester One (1243)
An exploration of the role of mathematics in society and culture, and the activities performed by mathematicians as teachers, critics, and innovators. Students will develop their skills in communication, critical thinking, teaching, and creative problem solving.
Prerequisite: MATHS 250 and 30 points at Stage III in Mathematics
854
MATHS 715
: Graph Theory and Combinatorics2024 Semester One (1243)
A study of combinatorial graphs (networks), designs and codes, illustrating their application and importance in other branches of mathematics and computer science.
Prerequisite: 15 points from MATHS 320, 326, 328 with a B or higher
855
MATHS 720
: Group Theory2024 Semester One (1243)
A study of groups focusing on basic structural properties, presentations, automorphisms and actions on sets, illustrating their fundamental role in the study of symmetry (for example in crystal structures in chemistry and physics), topological spaces, and manifolds.
Prerequisite: MATHS 320
856
MATHS 730
: Measure Theory and Integration2024 Semester One (1243)
Presents the modern elegant theory of integration as developed by Riemann and Lebesgue. This course includes powerful theorems for the interchange of integrals and limits, allowing very general functions to be integrated, and illustrates how the subject is both an essential tool for analysis and a critical foundation for the theory of probability. Strongly recommended: MATHS 333
Prerequisite: MATHS 332
857
MATHS 735
: Analysis on Manifolds and Differential Geometry2024 Semester One (1243)
Studies surfaces and their generalisations, smooth manifolds, and the interaction between geometry, analysis and topology; it is a central tool in many areas of mathematics, physics and engineering. Topics include Stokes' theorem on manifolds and the celebrated Gauss Bonnet theorem. Strongly recommended: MATHS 333 and 340.
Prerequisite: MATHS 332
858
MATHS 761
: Dynamical Systems2024 Semester One (1243)
Mathematical models of systems that change are frequently written in the form of nonlinear differential equations, but it is usually not possible to write down explicit solutions to these equations. This course covers analytical and numerical techniques that are useful for determining the qualitative properties of solutions to nonlinear differential equations.
Prerequisite: B- in both MATHS 340 and 361
859
MATHS 763
: Advanced Partial Differential Equations2024 Semester One (1243)
A study of exact and approximate methods of solution for the linear partial differential equations that frequently arise in applications.
Prerequisite: B- in both MATHS 340 and 361
860
MATHS 787
: Special Topic: Inverse Problems and Stochastic Differential Equations2024 Semester One (1243)
Covers deterministic inverse problems: Hilbert spaces and linear operator theory, singular value decomposition and pseudoinverses, Tikhonov regularisation, nonlinear problems and iterative methods, continuous time processes, stochastic differential equations, random walks and Wiener processes, Itô calculus, and applications of SDE's.
Prerequisite: B- or higher in MATHS 340 and 361
Restriction: MATHS 769, 766
Restriction: MATHS 769, 766
861
MBCHB 401A
: MBChB Part IV2024 Semester One (1243)
During Part IV, students spend 33 weeks in eight clinical attachments: emergency medicine, anaesthesiology, musculoskeletal, surgery, general and specialty medicine, geriatrics and general practice. These attachments are complemented by four weeks of topic teaching on campus. There is also a compulsory Māori and Pacific Health module.
Prerequisite: MBCHB 311, 321
To complete this course students must enrol in MBCHB 401 A and B
862
MBCHB 501A
: MBChB Part V2024 Semester One (1243)
Students will complete academic study of forty one weeks of which thirty one are in clinical placements. These are: general practice, obstetrics and gynaecology, psychiatry, paediatrics, specialty surgery and a selective. There are three weeks of formal learning on campus including a Population Health week. Other projects and asynchronous learning also needs to be completed. Students may undertake the majority of study in a regional rural setting in Northland.
Prerequisite: MBCHB 401
To complete this course students must enrol in MBCHB 501 A and B
863
MECHENG 201
: Introduction to Mechatronics2024 Semester One (1243)
Introduces mechatronics to mechanical and mechatronics engineers. Covers sensors and actuators, analogue and digital circuit elements for signal processing and programming.
Prerequisite: ELECTENG 101, ENGGEN 131
864
MECHENG 235
: Design and Manufacture 12024 Semester One (1243)
The engineering design process as a teamwork and problem-solving activity involving analysis, synthesis, evaluation and critical thinking. Design methodology and communicating design intent through written and graphical means. Introduction to selected motive power sources, machine elements for mechanical power systems, and production and fabrication processes.
Prerequisite: ENGGEN 115
865
MECHENG 242
: Mechanics of Materials 12024 Semester One (1243)
Principles of elastic material behaviour in the design of load carrying elements. Statically determinate stress systems; stress–strain relations. Bending of beams: stress–moment and moment–curvature relations; beam deflections; buckling of struts. Shear in joints, couplings, beams and circular shafts. General analysis of plane stress. Introduction to failure criteria by yield and fracture.
Prerequisite: ENGGEN 121 or 150
866
867
MECHENG 313
: Design of Real-Time Software2024 Semester One (1243)
Introduces the principles of software design in a real-time environment. Main topics include computer/microcontroller architecture, programming in a real-time environment, software design and data acquisition systems.
Prerequisite: MECHENG 270
868
MECHENG 322
: Control Systems2024 Semester One (1243)
An introduction to classical control of mechanical and mechatronic systems. Topics include: transfer functions, block diagrams, time response characteristics, stability, frequency response characteristics, and controller design (e.g., pole placement, lead-lag compensation, PID). Applications in MATLAB/Simulink and with physical systems.
Prerequisite: ENGSCI 211, MECHENG 222
869
MECHENG 334
: Design and Manufacture 32024 Semester One (1243)
Good practice and standard methods in mechanical engineering design. Conceptual and detailed design in projects involving machine elements, engineering sciences and engineering mechanics. Some of the advanced computer-aided tools (e.g., CAD, CAM, CAE) will be introduced and utilised in some projects.
Prerequisite: MECHENG 235, 236, 242
870
MECHENG 340
: Mechanics of Materials 22024 Semester One (1243)
Complex material behaviour and structural analysis, extending capability from two to three dimensions. States of stress and strain at a point in a general three-dimensional stress system. Generalised stress–strain relations for linearly elastic isotropic materials. Failure theories for ductile and brittle materials, elementary plasticity, and fatigue. Analytical techniques and numerical analysis of complex mechanical elements.
Prerequisite: MECHENG 242
871
MECHENG 370
: Electronics and Signal Processing2024 Semester One (1243)
An introduction to the design, analysis and implementation of electronic circuits or systems for various applications such as signal generation and processing, interfacing, and high power electronics.
Prerequisite: ELECTENG 101
872
MECHENG 700A
: Research Project2024 Semester One (1243)
Supervised research on a topic in engineering culminating in an independent written project report that includes a literature review, a description of the research and its findings, and a statement of research contribution. Further supporting technical material will be provided as a compendium.
Prerequisite: 75 points from Part III courses in the BE(Hons) Schedule
Restriction: MECHENG 407, 408, 461, 462, 762, 763 To complete this course students must enrol in MECHENG 700 A and B
Restriction: MECHENG 407, 408, 461, 462, 762, 763 To complete this course students must enrol in MECHENG 700 A and B
873
MECHENG 705
: Mechatronics Systems2024 Semester One (1243)
Fundamentals of digital control and signal processing as applied to mechatronics systems. Modelling and analysis of mechatronics systems that includes transducers and applications. Issues related to mechatronics systems such as thermal management, signal detection, filtering and integrity, etc.
Prerequisite: MECHENG 322, 370
874
MECHENG 706
: Mechatronics Design Projects2024 Semester One (1243)
A range of projects that demonstrate the application and integration of engineering knowledge to create practical intelligent devices, machines and systems. AI based control techniques will be introduced.
Prerequisite: MECHENG 306, 313, 370
875
MECHENG 709
: Industrial Automation2024 Semester One (1243)
Automation technologies widely used in manufacturing and processing industries. Topics include industrial robotics; programmable logic controllers (PLCs); pneumatics; machine vision systems; automated assembly; design for automation; and Industry 4.0 (such as machine-to-machine communications and data analysis). Students will participate in a number of hands-on labs throughout the course.
Restriction: MECHENG 710