Mathematics Subject 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 60 points above 200 level. Students must complete MATHS101 or MATHS104, MATHS102 or MATHS103, MATHS201, and MATHS202. 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 45 points above 200 level. Students must complete MATHS101 or MATHS104, MATHS102 or MATHS103, MATHS201, and MATHS202. 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. MATHS135 may also be taken towards a minor. Students may include up to 15 points of DATAX-coded papers.
Students who commenced a major in Mathematics in 2017 or prior are encouraged to contact the Division of Health, Engineering, Computing and Science 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 Health, Engineering, Computing and Science for programme advice.
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:
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GradCert(Math) and GradDip(Math) 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 Health, Engineering, Computing and Science Office.
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PGCert(Math), PGDip(Math), BA(Hons), BSc(Hons), MA, MSc and MSc (Research) 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 180 points at 500 level consisting of MATHS594 and 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.
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MPhil 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.
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PhD 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 | |
|---|---|---|
CSMAX170
Foundations 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 |
|
CSMAX175
Introduction 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) |
|
ENGEN101
Engineering 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) |
|
ENGEN102
Engineering 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) |
|
MATHS103
Mathematics 1A
A study of the fundamental techniques of algebra and calculus. |
15 | 25A (Hamilton) & 25B (Hamilton) & 25X (Hainan University, Haikou China) |
|
MATHS104
Mathematics 1B
A further study of the fundamental techniques of algebra and calculus. |
15 | 25B (Hamilton) |
|
MATHS135
Discrete 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) |
|
MATHS165
General 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) |
|
MATHS166
Management 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) |
|
MATHS168
Preparatory 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) |
|
RPLCR103
Recognition of Prior Learning - Mathematics 1A
A study of the fundamental techniques of algebra and calculus. |
15 | 25A (Hamilton) & 25H (Hamilton) |
|
RPLCR104
Recognition 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 | |
|---|---|---|
|
CSMAX270
Cultural 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) |
|
DATAX201
Practical Data Science
This paper gives students practical experience for the entire data science process. It covers the data collection process, data cleaning and... |
15 | 25B (Hamilton) & 25B (Online) & 25B (Tauranga) |
|
DATAX221
Statistical Data Analysis
This paper introduces students to the R programming language. Analysis of variance, multiple regression, non parametric methods and time series are... |
15 | 25A (Hamilton) |
|
DATAX222
Principles of Probability and Statistics
This paper introduces the theoretical background that underpins modern probability and statistics. Topics include conditional probability, random... |
15 | 25B (Hamilton) |
|
ENGEN201
Engineering 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) |
|
MATHS201
Continuing 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) |
|
MATHS202
Linear 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) |
|
MATHS204
Mathematical 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) |
|
MATHS235
Discrete 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 | |
|---|---|---|
|
COMPX344
Applied 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) |
|
COMPX361
Logic 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) |
|
COMPX367
Computational Mathematics
Introduces numerical methods for solving various mathematical problems. |
15 | 25B (Hamilton) |
|
DATAX321
Advanced Data Analysis
This paper uses R for data analysis and modelling. The topics covered are general linear models, generalised linear models, and statistical learning... |
15 | 25B (Hamilton) |
|
DATAX322
Probability and Stochastic Processes
This paper introduces students to probability theory and stochastic processes. It covers formally the theoretical foundations of probability, random... |
15 | 25A (Hamilton) |
|
ENGEN301
Engineering Maths and Modelling 3
Introduces numerical methods and statistical ideas relevant to Engineering. |
15 | 25A (Hamilton) |
|
MATHS301
Real 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) |
|
MATHS307
Rings and Fields
This paper considers the algebraic structures of rings and fields together with applications of the ideas. |
15 | 25A (Hamilton) |
|
MATHS341
Partial Differential Equations
Develops solution techniques for first and second order partial differential equations, including the method of characteristics and separation of... |
15 | 25B (Hamilton) |
|
MATHS390
Directed Study
Students carry out an independent research project on an approved topic under staff supervision. |
15 | 25A (Hamilton) & 25B (Hamilton) |
|
MATHS397
Work-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 | |
|---|---|---|
|
COMPX546
Graph Theory
An introduction to graph theory and combinatorics, including network optimisation algorithms. |
15 | 25A (Hamilton) |
|
COMPX567
Advanced Computational Mathematics
This paper considers computational methods for solving various mathematical problems. |
15 | 25B (Hamilton) |
|
MATHS507
Advanced 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) |
|
MATHS512
Continuous Groups
An introduction to the study of continuous groups, particularly matrix groups. The groups have application to theoretical physics. |
15 | 25A (Hamilton) |
|
MATHS520
Dissertation
A directed investigation and report on an approved project or study topic. |
45 | 25X (Hamilton) |
|
MATHS541
Classical 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) |
|
MATHS555
Advanced Classical Mechanics
The theory of classical mechanics from a variational point of view. |
15 | 25A (Hamilton) |
|
MATHS581
Special Topic in Mathematics 1
One or more special topics in mathematics, at an advanced level. |
15 | 25A (Hamilton) & 25B (Hamilton) |
|
MATHS582
Special Topic in Mathematics 2
One or more special topics in mathematics, at an advanced level. |
15 | 25A (Hamilton) & 25B (Hamilton) |
|
MATHS591
Dissertation
A report on the findings of a theoretical or empirical investigation. |
30 | 25X (Hamilton) |
|
MATHS592
Dissertation
A report on the findings of a theoretical or empirical investigation. |
60 | 25X (Hamilton) |
|
MATHS593
Mathematics Thesis
An externally examined piece of written work that reports on the findings of supervised research. |
90 | 25X (Hamilton) |
|
MATHS594
Mathematics Thesis
An externally examined piece of written work that reports on the findings of supervised research. |
120 | 25X (Hamilton) |
| Code and paper title | Points | |
|---|---|---|
|
MATHS800
Mathematics MPhil Thesis
|
120 | 25X (Hamilton) |
| Code and paper title | Points | |
|---|---|---|
|
MATHS900
Mathematics PhD Thesis
|
120 | 25I (Hamilton) & 25J (Hamilton) & 25K (Hamilton) & 25X (Hamilton) |
-
CSMAX170 Foundations 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...
Points 15This paper provides an introduction to Cyber Security through the exploration of concepts such as digital information, digital identities, digital...
Points 15A study of the fundamental techniques of algebra and calculus with engineering applications.
Points 15A further study of the fundamental techniques of algebra and calculus with engineering applications. Includes an introduction to relevant statistical...
Points 15A study of the fundamental techniques of algebra and calculus.
Points 15A further study of the fundamental techniques of algebra and calculus.
Points 15An introduction to a number of the structures of discrete mathematics with wide applicability in areas such as: computer logic, analysis of...
Points 15An introduction to algebra, calculus, and their applications for students without NCEA Level 3 Mathematics. Students who meet the prerequisites of...
Points 15An introduction to algebra and calculus for students in Management or Social Sciences. Students who meet the prerequisites for MATHS103 may wish to...
Points 15This paper covers basic algebraic concepts, along with an introduction to statistics and calculus. It is intended for those who wish to improve their...
Points 15A study of the fundamental techniques of algebra and calculus.
Points 15A further study of the fundamental techniques and applications of calculus and algebra.
Points 15 -
CSMAX270 Cultural 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...
Points 15This paper gives students practical experience for the entire data science process. It covers the data collection process, data cleaning and...
Points 15This paper introduces students to the R programming language. Analysis of variance, multiple regression, non parametric methods and time series are...
Points 15This paper introduces the theoretical background that underpins modern probability and statistics. Topics include conditional probability, random...
Points 15Calculus of Several Variables and its Applications. Vector calculus (Green's, Gauss' and Stokes' theorems). Taylor's Theorem in n dimensions...
Points 15Calculus of Several Variables and its Applications. Vector calculus (Green's, Gauss' and Stokes' theorems). Taylor's Theorem in n dimensions. The...
Points 15A formal approach to linear algebra, with applications. Topics include: axioms of a vector space, linear independence, spanning sets and bases...
Points 15This paper gives students a practical introduction to mathematical modelling and real-world problem solving, especially as it relates to science.
Points 15An exploration of topics in discrete mathematics with applications in computer science, including: graph theory and networks, coding theory and...
Points 15 -
COMPX344 Applied Computational Methods
This paper explores numerical methods with applications to real world problems. A verity of classes of problems will be introduced, and appropriate...
Points 15The syllabus includes: further development of predicate logic with application to program verification; mathematical induction including structural...
Points 15Introduces numerical methods for solving various mathematical problems.
Points 15This paper uses R for data analysis and modelling. The topics covered are general linear models, generalised linear models, and statistical learning...
Points 15This paper introduces students to probability theory and stochastic processes. It covers formally the theoretical foundations of probability, random...
Points 15Introduces numerical methods and statistical ideas relevant to Engineering.
Points 15Further real analysis, including a formal approach to continuity, differentiability and power series. An introduction to the calculus of complex...
Points 15This paper considers the algebraic structures of rings and fields together with applications of the ideas.
Points 15Develops solution techniques for first and second order partial differential equations, including the method of characteristics and separation of...
Points 15Students carry out an independent research project on an approved topic under staff supervision.
Points 15Students carry out an independent work-related project on an approved topic under staff supervision.
Points 15 -
COMPX546 Graph Theory
An introduction to graph theory and combinatorics, including network optimisation algorithms.
Points 15This paper considers computational methods for solving various mathematical problems.
Points 15This paper considers the algebraic structures of rings and fields together with applications of the ideas, studied at an advanced level.
Points 15An introduction to the study of continuous groups, particularly matrix groups. The groups have application to theoretical physics.
Points 15A directed investigation and report on an approved project or study topic.
Points 45Topics chosen from: first-order equations; the method of characteristics; second-order equations: wave, diffusion, and potential; separation of...
Points 15The theory of classical mechanics from a variational point of view.
Points 15One or more special topics in mathematics, at an advanced level.
Points 15One or more special topics in mathematics, at an advanced level.
Points 15A report on the findings of a theoretical or empirical investigation.
Points 30A report on the findings of a theoretical or empirical investigation.
Points 60An externally examined piece of written work that reports on the findings of supervised research.
Points 90An externally examined piece of written work that reports on the findings of supervised research.
Points 120 -
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MATHS900 Mathematics PhD Thesis
Points 120
2025 Catalogue of Papers information current as of 5 Nov 2024 01:00am