University of Auckland

What you'll study

This programme focuses on the principles and practice of mathematical modelling across a range of application areas. Teaching covers the formulation of models from physical, biological, social and engineering problems, analytical techniques for simplified models, and numerical and computational methods for more complex systems.

• Model formulation and scaling: deriving models from first principles, nondimensionalisation and model reduction.
• Differential equations and dynamical systems: ordinary and partial differential equations, stability and bifurcation analysis as tools for temporal and spatial modelling.
• Numerical methods and scientific computing: finite-difference/finite-element ideas, solution of linear and nonlinear systems, error analysis and implementation using common tools such as MATLAB or Python.
• Statistics and data assimilation: parameter estimation, uncertainty quantification and integrating observational data with models.
• Optimisation and inverse problems: techniques for model calibration and decision-making under constraints.
• Application projects: supervised mini-projects or case studies in areas such as environmental modelling, epidemiology, engineering, finance or ecology that emphasise translating real problems into mathematical form and producing computational solutions.

Study is typically a mix of taught coursework and project work, with emphasis on practical implementation and interpretation of model results. Students refine skills in mathematical reasoning, numerical computation and scientific programming.

Entry requirements

Applicants are expected to hold a recognised bachelor’s degree or equivalent with substantial quantitative content (for example mathematics, statistics, engineering, physics, computer science or related disciplines). Demonstrated competence in calculus, linear algebra and basic differential equations is normally required. Where applicants have relevant professional experience but a less quantitative undergraduate background, bridging coursework or evidence of prior study may be considered.

International applicants must meet the University of Auckland’s English language requirements for postgraduate study. Candidates who intend to progress to further postgraduate study should check faculty requirements for progression to masterʼs programmes.

Career prospects

Graduates gain practical modelling and computational skills valued across public and private sectors. Typical roles include:

• modeller or analyst in engineering firms, environmental consultancies, energy and transport sectors
• data scientist or quantitative analyst in finance, insurance and technology companies
• research support positions in universities, crown research institutes and laboratories
• modelling and policy analyst roles in government agencies and NGOs

The qualification also provides a pathway to further postgraduate study (for example a master’s degree) for those aiming at research careers or specialised technical positions.

Why study at University of Auckland

The University of Auckland hosts a well-established mathematics and statistics community with staff active in applied mathematics, computational science and interdisciplinary research. Students benefit from access to computing facilities, research groups working on real-world modelling challenges, and collaborations with industry and government partners across New Zealand.

Being located in Auckland gives students connections to a broad range of employers and applied projects, while the University provides academic support, workshops in scientific computing, and opportunities to continue into higher-level postgraduate study.