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Showing 25 course outlines from 1554 matches

726

MAORIHTH 709

: Transformational Research for Māori Health
2022 Semester Two (1225)
Provides a critical analysis of research and research processes with regard to their potential to colonise or liberate. Drawing on Kaupapa Māori Theory, the course examines how research can be undertaken in ways that are safe for Māori and that contribute to positive Māori development.
Subject: Māori Health
Prerequisite: MAORIHTH 710 and 15 points from POPLHLTH 701, 702, 767
727

MAORIHTH 710

: Kaupapa Māori Theory
2022 Semester One (1223)
Kaupapa Māori Theory (KMT) underpins a range of approaches employed to ensure policy, research and intervention processes emphasise Māori ways of knowing and being and work to prevent the further marginalisation of Māori. Students learn about the development of KMT and its use in the context of Māori health and development, and will experience and learn from a range of initiatives and projects that have KMT at their core.
Subject: Māori Health
Prerequisite: MAORIHTH 301 or 701
Restriction: MAORIHTH 702
728

MARINE 701

: Current Issues in Marine Science
2022 Semester One (1223)
Web based seminars will be run between the University of Auckland and Victoria University of Wellington. The topics and material will recognise the wide range of undergraduate experience across participants and emphasise the value of cross-disciplinary approaches to Marine Science.
Subject: Marine Science
No pre-requisites or restrictions
729

MARINE 702

: Field Techniques in Marine Science
2022 Semester One (1223)
An advanced course in the development of practical skills in research design, implementation and analysis in Marine Science.
Subject: Marine Science
No pre-requisites or restrictions
730

MARINE 703

: Marine Protected Areas
2022 Semester Two (1225)
Current research related to marine protected areas is reviewed, including planning principles and processes for designing marine protected areas, and its role in science, conservation of biological diversity, and fisheries. Practical components include visits to marine reserves, exposure to planning software, and analysis of marine protected related data. The knowledge and skills gained are applied with an independent research project.
Subject: Marine Science
Restriction: ENVSCI 726
731

MARINE 705

: Ocean Management and Planning
2022 Semester Two (1225)
Approaches to management and conservation of global oceans are changing rapidly to address increasingly complex social, economic and environmental issues. Reviews current ocean governance, policy, planning and management approaches, modern ocean management and planning tools using examples from recent international ocean conservation projects.
Subject: Marine Science
No pre-requisites or restrictions
732

MARINE 707

: Applied Estuarine Ecology
2022 Semester Two (1225)
Emphasises multi-disciplinary science that integrates across different empirical and theoretical approaches to better understand the functioning of soft-sediment ecosystems. Covers fundamental ecological principles of soft-sediment systems through to the impacts associated with human activities. Includes practical exercises in experimental field ecology which will introduce students to key research methods. No formal prerequisite but knowledge of Stage III marine ecology or science will be assumed.
Subject: Marine Science
Restriction: ENVSCI 702
733

MATHS 701

: Introduction to Research in Mathematics Education
2022 Semester Two (1225)
What is Mathematics Education research, and how can it inform practice? This course introduces a range of skills and methods for conducting and critically consuming research in mathematics education. Students will explore issues and techniques in Mathematics Education research as they design their own research studies to inform their teaching and learning practice.
Subject: Mathematics
Prerequisite: MATHS 302 or significant teaching experience or department approval
734

MATHS 703

: What Can Be More Practical Than a Good Theory?
2022 Summer School (1220)
An analysis of theoretical perspectives that inform research in mathematics education, with a focus on learning theories, both social and psychological, and their implications for teaching and learning in mathematics.
Subject: Mathematics
Prerequisite: MATHS 302 or significant teaching experience or department approval
735

MATHS 714

: Number Theory
2022 Semester Two (1225)
A broad introduction to various aspects of elementary, algebraic and computational number theory and its applications, including primality testing and cryptography.
Subject: Mathematics
Prerequisite: B+ in MATHS 328 or 320
736

MATHS 715

: Graph Theory and Combinatorics
2022 Semester One (1223)
A study of combinatorial graphs (networks), designs and codes illustrating their application and importance in other branches of mathematics and computer science.
Subject: Mathematics
Prerequisite: 15 points from MATHS 320, 326, 328 with a B or higher
737

MATHS 720

: Group Theory
2022 Semester One (1223)
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.
Subject: Mathematics
Prerequisite: MATHS 320
738

MATHS 721

: Representations and Structure of Algebras and Groups
2022 Semester Two (1225)
Representation theory studies properties of abstract groups and algebras by representing their elements as linear transformations of vector spaces or matrices, thus reducing many problems about the structures to linear algebra, a well-understood theory.
Subject: Mathematics
Prerequisite: MATHS 320
739

MATHS 730

: Measure Theory and Integration
2022 Semester One (1223)
Presenting the modern elegant theory of integration as developed by Riemann and Lebesgue, it includes powerful theorems for the interchange of integrals and limits so 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.
Subject: Mathematics
Prerequisite: MATHS 332
740

MATHS 731

: Functional Analysis
2022 Semester Two (1225)
Provides the mathematical foundations behind some of the techniques used in applied mathematics and mathematical physics; it explores how many phenomena in physics can be described by the solution of a partial differential equation, for example the heat equation, the wave equation and Schrödinger's equation. Recommended preparation: MATHS 730 and 750.
Subject: Mathematics
Prerequisite: MATHS 332 and 333
741

MATHS 735

: Analysis on Manifolds and Differential Geometry
2022 Semester One (1223)
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.
Subject: Mathematics
Prerequisite: MATHS 332
742

MATHS 750

: Topology
2022 Semester Two (1225)
Aspects of point-set, set-theoretic and algebraic topology including: properties and construction of topological spaces, continuous functions, axioms of separation, countability, connectivity and compactness, metrization, covering spaces, the fundamental group and homology theory. Strongly recommended: MATHS 333.
Subject: Mathematics
Prerequisite: MATHS 332
Restriction: MATHS 350
743

MATHS 761

: Dynamical Systems
2022 Semester One (1223)
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.
Subject: Mathematics
Prerequisite: B- in both MATHS 340 and 361
744

MATHS 762

: Nonlinear Partial Differential Equations
2022 Semester Two (1225)
A study of exact and numerical methods for non-linear partial differential equations. The focus will be on the kinds of phenomena which only occur for non-linear partial differential equations, such as blow up, shock waves, solitons and special travelling wave solutions.
Subject: Mathematics
Prerequisite: B- in both MATHS 340 and 361
745

MATHS 763

: Advanced Partial Differential Equations
2022 Semester One (1223)
A study of exact and approximate methods of solution for the linear partial differential equations that frequently arise in applications.
Subject: Mathematics
Prerequisite: B- in both MATHS 340 and 361
746

MATHS 765

: Mathematical Modelling
2022 Semester Two (1225)
Advanced topics in mathematical modelling, including selected topics in a range of application areas, principally taken from the physical and biological sciences.
Subject: Mathematics
Prerequisite: At least B- or better in both MATHS 340 and 361
747

MATHS 770

: Advanced Numerical Analysis
2022 Semester Two (1225)
Covers the use, implementation and analysis of efficient and reliable numerical algorithms for solving several classes of mathematical problems. The course assumes students have done an undergraduate course in numerical methods and can use Matlab or other high-level computational language.
Subject: Mathematics
Prerequisite: B- in MATHS 270, 340 and 361
748

MATHS 776

: Honours Research Project
2022 Semester Two (1225)
Subject: Mathematics
Restriction: MATHS 791 To complete this course students must enrol in MATHS 776 A and B, or MATHS 776
749

MATHS 776

: Honours Research Project
2022 Semester One (1223)
Subject: Mathematics
Restriction: MATHS 791 To complete this course students must enrol in MATHS 776 A and B, or MATHS 776
750

MATHS 776A

: Honours Research Project
2022 Semester Two (1225)
Subject: Mathematics
Restriction: MATHS 791 To complete this course students must enrol in MATHS 776 A and B, or MATHS 776