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Mathematics

Mathematics is a subject of vital importance that underpins many activities of our modern world. Employers recognise University of Waikato Mathematics graduates for their analytical and problem solving skills as well as their high level of numeracy, which are critical skills for a broad range of jobs.

Mathematics

If you are a graduate with a Mathematics degree, or even with a strong Mathematical component to your degree, you will be a valuable person in today's workforce, with a qualification that appeals to a wide range of employers including banks, insurance companies, schools and government departments.

There is strong employer demand for Mathematicians, due to a shortage of Mathematics graduates and in particular a critical shortage of Mathematics teachers.

Studying Mathematics in combination with another subject means you can work in a number of different fields, such as Chemistry, Biological Sciences, Earth Sciences, Economics, Finance, Engineering (Chemical and Biological Engineering, Civil Engineering, Electrical Engineering, Environmental Engineering, Materials and Process Engineering, Mechanical Engineering, Software Engineering), Physics, Electronics, Banking and Meteorology.

Capable students should consider the flexible double major options in Mathematics and Computer Science, or Mathematics and Data Analytics.

Facilities at Waikato

The computing facilities at the University of Waikato are among the best in New Zealand, and you will have 24 hour access to computer labs equipped with all the latest computer software.

Apply to enrol

Key information

Study Locations:Hamilton, Tauranga
Papers offered differ by location. The Catalogue of Papers has full location info.
Area of Study:

Career opportunities

  • Data Analyst
  • Financial Analyst
  • IT or Computing Analyst
  • Mathematical Modeller
  • Meteorologist
  • Research Scientist
  • Secondary School Teacher

100 Level

Code Paper Title Points Occurrence / Location
CSMAX170Foundations in Computing and Mathematical Sciences15.024X (Hainan University, Haikou, China)
The objective of this paper is to provide students with the academic foundations for computing and mathematical sciences. The paper will cover the following areas: -Effective academic reasoning and communication -Information literacy and research skills -Academic integrity -Techniques and tools in the computing and mathematical sci...
CSMAX175Introduction to Cyber Security15.024A (Hamilton), 24A (Tauranga) & 24X (Hamilton Waikato College)
This paper provides an introduction to Cyber Security through the exploration of concepts such as digital information, digital identities, digital systems and their vulnerabilities.
ENGEN101Engineering Maths and Modelling 1A15.024A (Hamilton), 24A (Secondary School - Unistart), 24A (Tauranga) & 24B (Hamilton)
A study of the fundamental techniques of algebra and calculus with engineering applications.
ENGEN102Engineering Maths and Modelling 1B15.024B (Hamilton), 24B (Secondary School - Unistart), 24B (Tauranga) & 24G (Hamilton)
A further study of the fundamental techniques of algebra and calculus with engineering applications. Includes an introduction to relevant statistical methods.
MATHS103Mathematics 1A15.024A (Hamilton), 24A (Tauranga), 24B (Hamilton) & 24X (Hainan University, Haikou, China)
A study of the fundamental techniques of algebra and calculus.
MATHS104Mathematics 1B15.024B (Hamilton), 24B (Tauranga) & 24G (Hamilton)
A further study of the fundamental techniques of algebra and calculus.
MATHS135Discrete Structures15.024B (Hamilton), 24B (Secondary School - Unistart), 24B (Tauranga), 24C (Hamilton Waikato College) & 24X (Hainan University, Haikou, China)
An introduction to a number of the structures of discrete mathematics with wide applicability in areas such as: computer logic, analysis of algorithms, telecommunications, networks and public key cryptography. In addition it introduces a number of fundamental concepts which are useful in Statistics, Computer Science and further stu...
MATHS165General Mathematics15.024A (Hamilton) & 24B (Hamilton Waikato College)
An introduction to algebra, calculus and applications for students without NCEA Level 3 Mathematics. Students who meet the prerequisites of MATHS103 should take this paper instead, followed perhaps by MATHS104.
MATHS166Management Mathematics15.024A (Hamilton) & 24X (Zhejiang University City College, Hangzhou China)
An introduction to algebra and calculus for students in Management or Social Sciences. Students who meet the prerequisites of MATHS103 may wish to take this paper instead, followed perhaps by MATHS104.
MATHS168Preparatory Mathematics15.024A (Hamilton), 24B (Hamilton), 24JS (Hamilton) & 24X (Hamilton Waikato College)
Basic algebraic concepts and an introduction to Calculus and Statistics. This paper provides a last chance for students to correct a weak background in mathematics. Students who meet the prerequisites of MATHS165 or MATHS166 should take one of those papers instead.
RPLCR103Recognition of Prior Learning - Introduction to Calculus15.024A (Hamilton) & 24H (Hamilton)
A study of the fundamental techniques of calculus, including differentiation and integration for functions of one real variable, with applications to rate problems, graph sketching, areas and volumes.
RPLCR104Recognition of Prior Learning - Introduction to Algebra15.024A (Hamilton) & 24H (Hamilton)
A study of the fundamental techniques and applications of algebra including Gaussian elimination, vector and matrix algebra, complex numbers, induction and recursion.

200 Level

Code Paper Title Points Occurrence / Location
CSMAX270Cultural Perspectives for Computing and Mathematical Sciences15.024B (Hamilton) & 24B (Tauranga)
The paper provides students with an understanding of scientific and culture-specific perspectives on issues in computing and mathematical sciences. Students will learn how these perspectives can be applied in diverse cultural, international, ethical, and professional contexts.
DATAX201Practical Data Science15.024B (Hamilton), 24B (Online) & 24B (Tauranga)
This paper gives students practical experience for the entire data science process. It covers the data collection process, data cleaning and manipulation, and data visualisation and presentation.
DATAX221Statistical Data Analysis15.024A (Hamilton)
This paper introduces students to the R programming language which is used to investigate a collection of real data sets. Analysis of variance, multiple regression, non parametric methods and time series are covered.
DATAX222Principles of Probability and Statistics15.024B (Hamilton)
This paper introduces the theoretical background that underpins modern probability and statistics. Topics include discrete probability and mathematical statistics from a frequentist and Bayesian viewpoint.
ENGEN201Engineering Maths and Modelling 215.024A (Hamilton) & 24H (Online)
Calculus of Several Variables and its Applications. Vector calculus (Green's, Gauss' and Stokes' theorems). Taylor's Theorem in n dimensions. Introduction to ordinary differential equations and methods to solve them.
MATHS201Continuing Calculus15.024A (Hamilton) & 24X (Hainan University, Haikou, China)
Calculus of Several Variables and its Applications. Vector calculus (Green's, Gauss' and Stokes' theorems). Taylor's Theorem in n dimensions. The gamma and beta functions.
MATHS202Linear Algebra15.024B (Hamilton) & 24X (Hainan University, Haikou, China)
A formal approach to linear algebra, with applications. Topics include: axioms of a vector space, linear independence, spanning sets and bases. Linear transformations, the Gram-Schmidt process.
MATHS203Differential Equations and Modelling15.0No occurrences
Systems of ordinary differential equations and their applications, including phase plane methods. Introduction to partial differential equations. Fourier series.
MATHS204Mathematical Tools for Scientists15.024A (Hamilton)
This paper gives students a practical introduction to mathematical modelling and real-world problem solving, especially as it relates to science.

300 Level

Code Paper Title Points Occurrence / Location
COMPX344Applied Computational Methods15.024B (Hamilton)
This paper explores numerical methods with applications to real world problems. A verity of classes of problems will be introduced, and appropriate numerical methods for each will be explored.
COMPX361Logic and Computation15.024B (Hamilton) & 24B (Tauranga)
The syllabus includes: further development of predicate logic with application to program verification; mathematical induction including structural induction; finite state automata and regular languages; Kleene's Theorem; Turing machines, the Church-Turing thesis, universal Turing machines and the Halting problem; formal grammars a...
COMPX364Cryptography and Number Theory15.0No occurrences
An introduction to number theoretic ideas with emphasis on their applications in cryptography.
DATAX321Advanced Data Analysis15.024B (Hamilton)
This paper covers the use of statistical packages for data analysis and modelling. The emphasis is on observational rather than experimental data. The topics covered are regression modelling and its generalisations, and multivariate analysis.
DATAX322Probability and Stochastic Processes15.024A (Hamilton)
This paper introduces students to probability theory and stochastic processes. It covers formally the theoretical foundations of probability, random variables, statistics, stochastic processes and Markov chains.
ENGEN301Engineering Maths and Modelling 315.024A (Hamilton)
Introduces numerical methods and statistical ideas relevant to Engineering.
MATHS301Real and Complex Analysis15.024A (Hamilton)
Further real analysis, including a formal approach to continuity, differentiability and power series. An introduction to the calculus of complex functions and its applications.
MATHS302Group Theory15.024A (Hamilton)
An introduction to abstract algebra via the theory of groups.
MATHS303Applied Mathematics15.024B (Hamilton)
Develops the most widely used methods for solving ordinary and partial differential equations, especially those arising in physical applications.
MATHS390Directed Study15.024A (Hamilton) & 24B (Hamilton)
Students carry out an independent research project on an approved topic under staff supervision.
MATHS397Work-Integrated Learning Directed Study15.024X (Hamilton)
Students carry out an independent work-related project on an approved topic under staff supervision.

500 Level

Code Paper Title Points Occurrence / Location
COMPX502Cryptography15.0No occurrences
An introduction to cryptographic methods.
COMPX544Advanced Applied Computational Methods15.024B (Hamilton)
This paper explores numerical methods with applications to real world problems. A variety of classes of problems will be introduced, and appropriate numerical methods for each will be explored. Each problem will be solved by writing code from scratch. Aspects of parallel methods will also be introduced.
COMPX546Graph Theory15.024B (Hamilton)
An introduction to graph theory and combinatorics, including network optimisation algorithms.
MATHS503Advanced Applied Mathematics15.024B (Hamilton)
This paper develops in depth the most widely used methods for solving ordinary and partial differential equations, especially those arising in physical applications.
MATHS513Advanced Group Theory15.024A (Hamilton)
An in-depth study of the theory of finite groups.
MATHS517Stochastic Differential Equations with Applications to Finance15.0No occurrences
A study of stochastic differential equations and their applications in the physical sciences and finance.
MATHS520Dissertation45.024X (Hamilton)
A directed investigation and report on an approved project or study topic.
MATHS553Fluid Dynamics15.024A (Hamilton)
Basic principles of fluid dynamics with applications.
MATHS581Special Topic in Mathematics 115.024A (Hamilton) & 24B (Hamilton)
One or more special topics in mathematics, at an advanced level.
MATHS582Special Topic in Mathematics 215.024A (Hamilton) & 24B (Hamilton)
One or more special topics in mathematics, at an advanced level.
MATHS591Dissertation30.024X (Hamilton)
A report on the findings of a theoretical or empirical investigation.
MATHS592Dissertation60.024X (Hamilton)
A report on the findings of a theoretical or empirical investigation.
MATHS593Mathematics Thesis90.024X (Hamilton)
An externally examined piece of written work that reports on the findings of supervised research.
MATHS594Mathematics Thesis120.024X (Hamilton)
An externally examined piece of written work that reports on the findings of supervised research.

800 Level

Code Paper Title Points Occurrence / Location
MATHS800Mathematics MPhil Thesis120.024X (Hamilton)
No description available.

900 Level

Code Paper Title Points Occurrence / Location
MATHS900Mathematics PhD Thesis120.024I (Hamilton), 24J (Hamilton), 24K (Hamilton) & 24X (Hamilton)
No description available.

New to Waikato? The International Excellence Scholarship is worth up to $10,000.

A Zulauf Trust Scholarship  Accepting applications

This Scholarship is open to domestic and international students who are currently enrolled full-time at the University of Waikato in postgraduate study with a research component in mathematics or statistics. Applicants must have achieved at least a B+ average for their most recent undergraduate degree, and be able to show dedication to mathematics and to furthering the study of mathematics.
Closing Date: 15 March 2024

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Contacts

School of Computing and Mathematical Sciences
Phone: 0800 924 528 or +64 7 838 4625
Email: [email protected]
Website: cms.waikato.ac.nz
Facebook: https://www.facebook.com/WUcms