MathematicsSubject regulations

Mathematics is a language of fundamental importance which underpins many activities of society. It plays a crucial role, both theoretically and practically, in many areas such as science, computing, economics and finance.

Mathematics is available as a first major for the Bachelor of Computing and Mathematical Sciences with Honours (BCMS(Hons)) and the Bachelor of Science (BSc). Mathematics may also be included as a second major or minor in other undergraduate degrees, subject to approval of the Division in which the student is enrolled.

To complete Mathematics as a single major for the BCMS(Hons) or the BSc, students must gain 135 points from papers listed for Mathematics, including 105 points above 100 level, and 45 points above 200 level. Students must complete MATHS103 and either MATHS104 or MATHS135. Students may include up to 30 points of DATAX-coded papers as part of their Mathematics major. Students in the BCMS(Hons) will also need to take at least 60 points in the subject of Mathematics at 500 level, including MATHS520.

To complete Mathematics as part of a double major for the BCMS(Hons), BSc or other undergraduate degree, students must gain 120 points from papers listed for Mathematics, including 90 points above 100 level, and 30 points above 200 level. Students must complete MATHS103 and either MATHS104 or MATHS135. Students may include up to 30 points of DATAX-coded papers as part of their Mathematics major. Students in the BCMS(Hons) will also need to take at least 60 points in the subject of their first major at 500 level including MATHS520 if Mathematics is the first major.

To complete a minor in Mathematics, students must complete 60 points, including at least 30 points above 100 level. The 60 points must be chosen from the papers listed for the Mathematics major. Students may include up to 15 points of DATAX-coded papers.

Note:

Students who commenced a major in Mathematics in 2017 or prior are encouraged to contact the Division of STEM for programme advice.

There will be no new enrolments in the following degrees: BA(Hons) in Mathematics, BCMS(Hons) in Mathematics and the MA in Mathematics. Students enrolled in these degrees previously should consult the Division of STEM for programme advice.

Note on Assessment:

To be eligible to pass these papers students should normally achieve a minimum grade of D in the internal assessment and the final examination, and an overall grade of C-.

Other qualifications

Prescriptions for:

A Graduate Certificate and Graduate Diploma are available to graduates who have not included Mathematics at an advanced level in their first degree.
For further details, contact the Division of STEM Office.
The paper MATHS520 is normally available only for the BCMS(Hons) degree.
To complete a PGCert(Math), students must complete 60 points at 500 level consisting of 60 points from papers listed for Mathematics.
To complete a PGDip(Math), students must complete 120 points at 500 level including at least 90 points from papers listed for Mathematics.
To complete a BA(Hons) in Mathematics, students must complete 120 points at 500 level, including at least 60 points from the papers listed for Mathematics, of which at least 30 points must be in research (normally MATHS591).
Enrolment in papers towards the BSc(Hons) is only by invitation of the Head of School. To complete a BSc(Hons) in Mathematics, students must complete 120 points at 500 level, including at least 60 points from the papers listed for Mathematics, of which at least 30 points must be in research (normally MATHS591).
To complete an MA in Mathematics, students admitted under section 2(b) of the MA regulations must take a 120 point thesis, or a 90 point thesis and 30 points from approved 500 level papers, or a 60 point dissertation and 60 points from approved 500 level papers.
To complete an MSc in Mathematics, students admitted under section 2(a) of the MSc regulations must complete 180 points at 500 level including MATHS592 and at least 60 points from papers listed for Mathematics.
To complete an MSc (Research) in Mathematics, students admitted under section 2(a) of the MSc (Research) regulations must complete 240 points at 500 level consisting of MATHS594 and at least 60 points from papers listed for Mathematics.
Candidates for graduate qualifications should select their papers in consultation with the Graduate Adviser in Mathematics of the Department of Mathematics.
The Master of Philosophy is a one year research-based degree in which students undertake a programme of approved and supervised research that leads to a thesis which critically investigates an approved topic of substance and significance, demonstrates expertise in the methods of research and scholarship, displays intellectual independence and makes a substantial original contribution to the subject area concerned, and is of publishable quality.
The Doctor of Philosophy is a three year research-based degree in which students undertake a programme of approved and supervised research that leads to a thesis which critically investigates an approved topic of substance and significance, demonstrates expertise in the methods of research and scholarship, displays intellectual independence and makes a substantial original contribution to the subject area concerned, and is of publishable quality.

Mathematics papers

Code and paper title	Points	Occurrence/Location The study locations.
CSMAX170Foundations in Computing and Mathematical Sciences The objective of this paper is to provide students with the academic foundations for computing and mathematical sciences. The paper will cover the...	15	No occurrences
CSMAX175Introduction to Cyber Security This paper provides an introduction to Cyber Security through the exploration of concepts such as digital information, digital identities, digital...	15	25A (Hamilton) & 25A (Tauranga) & 25X (Hainan University, Haikou China)
ENGEN101Engineering Maths and Modelling 1A A study of the fundamental techniques of algebra and calculus with engineering applications.	15	25A (Hamilton) & 25A (Secondary School - Unistart) & 25A (Tauranga) & 25B (Hamilton)
ENGEN102Engineering Maths and Modelling 1B A further study of the fundamental techniques of algebra and calculus with engineering applications. Includes an introduction to relevant statistical...	15	25B (Hamilton) & 25B (Secondary School - Unistart) & 25B (Tauranga) & 25G (Hamilton)
MATHS103Mathematics 1A A study of the fundamental techniques of algebra and calculus.	15	25A (Hamilton) & 25B (Hamilton) & 25X (Hainan University, Haikou China)
MATHS104Mathematics 1B A further study of the fundamental techniques of algebra and calculus.	15	25B (Hamilton)
MATHS135Discrete Structures An introduction to a number of the structures of discrete mathematics with wide applicability in areas such as: computer logic, analysis of...	15	25B (Hamilton) & 25B (Secondary School - Unistart) & 25B (Tauranga) & 25X (Hainan University, Haikou China)
MATHS165General Mathematics An introduction to algebra, calculus, and their applications for students without NCEA Level 3 Mathematics. Students who meet the prerequisites of...	15	25A (Hamilton) & 25B (Hamilton Waikato College)
MATHS166Management Mathematics An introduction to algebra and calculus for students in Management or Social Sciences. Students who meet the prerequisites for MATHS103 may wish to...	15	25A (Hamilton) & 25X (Hangzhou City University, Hangzhou China)
MATHS168Preparatory Mathematics This paper covers basic algebraic concepts, along with an introduction to statistics and calculus. It is intended for those who wish to improve their...	15	25A (Hamilton) & 25B (Hamilton) & 25JS (Hamilton)
RPLCR103Recognition of Prior Learning - Mathematics 1A A study of the fundamental techniques of algebra and calculus.	15	25A (Hamilton) & 25H (Hamilton)
RPLCR104Recognition of Prior Learning - Mathematics 1B A further study of the fundamental techniques and applications of calculus and algebra.	15	25A (Hamilton) & 25H (Hamilton)

Code and paper title	Points	Occurrence/Location The study locations.
CSMAX270Cultural Perspectives for Computing and Mathematical Sciences The paper provides students with an understanding of scientific and culture-specific perspectives on issues in computing and mathematical sciences...	15	25B (Hamilton) & 25B (Tauranga)
ENGEN201Engineering Maths and Modelling 2 Calculus of Several Variables and its Applications. Vector calculus (Green's, Gauss' and Stokes' theorems). Taylor's Theorem in n dimensions...	15	25A (Hamilton) & 25H (Online)
MATHS201Continuing Calculus Calculus of Several Variables and its Applications. Vector calculus (Green's, Gauss' and Stokes' theorems). Taylor's Theorem in n dimensions. The...	15	25A (Hamilton) & 25X (Hainan University, Haikou China)
MATHS202Linear Algebra A formal approach to linear algebra, with applications. Topics include: axioms of a vector space, linear independence, spanning sets and bases...	15	25B (Hamilton) & 25X (Hainan University, Haikou China)
MATHS204Mathematical Tools for Scientists This paper gives students a practical introduction to mathematical modelling and real-world problem solving, especially as it relates to science.	15	25B (Hamilton)
MATHS235Discrete Mathematics An exploration of topics in discrete mathematics with applications in computer science, including: graph theory and networks, coding theory and...	15	25A (Hamilton)

Code and paper title	Points	Occurrence/Location The study locations.
COMPX344Applied Computational Methods This paper explores numerical methods with applications to real world problems. A verity of classes of problems will be introduced, and appropriate...	15	25X (Hainan University, Haikou China)
COMPX361Logic and Computation The syllabus includes: further development of predicate logic with application to program verification; mathematical induction including structural...	15	25B (Hamilton) & 25B (Tauranga) & 25X (Hainan University, Haikou China)
COMPX367Computational Mathematics Introduces numerical methods for solving various mathematical problems.	15	25B (Hamilton)
ENGEN301Engineering Maths and Modelling 3 Introduces numerical methods and statistical ideas relevant to Engineering.	15	25A (Hamilton)
MATHS301Real and Complex Analysis Further real analysis, including a formal approach to continuity, differentiability and power series. An introduction to the calculus of complex...	15	25A (Hamilton)
MATHS307Rings and Fields This paper considers the algebraic structures of rings and fields together with applications of the ideas.	15	25A (Hamilton)
MATHS341Partial Differential Equations Develops solution techniques for first and second order partial differential equations, including the method of characteristics and separation of...	15	25B (Hamilton)
MATHS390Directed Study Students carry out an independent research project on an approved topic under staff supervision.	15	25A (Hamilton) & 25B (Hamilton)
MATHS397Work-Integrated Learning Directed Study Students carry out an independent work-related project on an approved topic under staff supervision.	15	25X (Hamilton)

Code and paper title	Points	Occurrence/Location The study locations.
COMPX546Graph Theory An introduction to graph theory and combinatorics, including network optimisation algorithms.	15	25A (Hamilton)
COMPX567Advanced Computational Mathematics This paper considers computational methods for solving various mathematical problems.	15	25B (Hamilton)
MATHS507Advanced Rings and Fields This paper considers the algebraic structures of rings and fields together with applications of the ideas, studied at an advanced level.	15	25A (Hamilton)
MATHS512Continuous Groups An introduction to the study of continuous groups, particularly matrix groups. The groups have application to theoretical physics.	15	25A (Hamilton)
MATHS520Dissertation A directed investigation and report on an approved project or study topic.	45	25X (Hamilton)
MATHS541Classical Partial Differential Equations Topics chosen from: first-order equations; the method of characteristics; second-order equations: wave, diffusion, and potential; separation of...	15	25B (Hamilton)
MATHS555Advanced Classical Mechanics The theory of classical mechanics from a variational point of view.	15	25A (Hamilton)
MATHS581Special Topic in Mathematics 1 One or more special topics in mathematics, at an advanced level.	15	25A (Hamilton) & 25B (Hamilton)
MATHS582Special Topic in Mathematics 2 One or more special topics in mathematics, at an advanced level.	15	25A (Hamilton) & 25B (Hamilton)
MATHS591Dissertation A report on the findings of a theoretical or empirical investigation.	30	25X (Hamilton)
MATHS592Dissertation A report on the findings of a theoretical or empirical investigation.	60	25X (Hamilton)
MATHS593Mathematics Thesis An externally examined piece of written work that reports on the findings of supervised research.	90	25X (Hamilton)
MATHS594Mathematics Thesis An externally examined piece of written work that reports on the findings of supervised research.	120	25X (Hamilton)

Code and paper title	Points	Occurrence/Location The study locations.
MATHS800Mathematics MPhil Thesis	120	25X (Hamilton)

Code and paper title	Points	Occurrence/Location The study locations.
MATHS900Mathematics PhD Thesis	120	25I (Hamilton) & 25J (Hamilton) & 25K (Hamilton) & 25X (Hamilton)

2025 Catalogue of Papers information current as of 1 Apr 2025 01:00am

MathematicsSubject regulations

Other qualifications

GradCert(Math) and GradDip(Math)

PGCert(Math), PGDip(Math), BA(Hons), BSc(Hons), MA, MSc and MSc (Research)

MPhil

PhD

Mathematics papers