# Postgraduate study in Mathematics

## What can you study in Mathematics?

You can study Mathematics as a postgraduate specialisation in either Faculty of Science or Faculty of Arts programmes.

Postgraduate study in Mathematics increases your knowledge and understanding across a broader and deeper range of topics in Applied Mathematics, Pure Mathematics or Mathematics Education. You will have the opportunity to learn about research, make new discoveries, develop new ways of thinking, and have the exciting and rewarding experience of presenting your own new findings. Research areas open to exploration include:

- Algebra
- Climate modelling
- Combinatorics
- Complex analysis and differential equations
- Dynamical systems
- Functional analysis and operator theory
- Industrial mathematics
- Mathematical biology
- Mathematics education
- Numerical analysis
- Topology

The University of Auckland is ranked first in New Zealand and joint-45th in the world for Mathematics*.

## Structuring your postgraduate programme in Mathematics

### Bachelor of Arts (Honours) (BA(Hons)) in Mathematics

Consult the BA(Hons) schedule for how to structure your study and for the courses you may take.

### Master of Arts (MA) in Mathematics

Consult the MA schedule for how to structure your study and for the courses you may take.

### Bachelor of Science (Honours) (BSc(Hons)) in Mathematics

**30 points**:

**And either 90 points in**

or

**At least 45 points in**

**or up to 45 points in a related subject**:

### Master of Science (MSc) in Mathematics 120 point (one-year) research masters

**120 points**:

Or

**30 points from**:

- MATHS 701 Research Skills in Mathematics Education
- MATHS 702 Mathematics Curriculum
- MATHS 703 Theoretical Issues in Mathematics Education
- MATHS 705 Socio-political Issues in Mathematics Education
- MATHS 706 Technology and Mathematics Education
- MATHS 707 Special Topics in Mathematics Education 1
- MATHS 711B Special Topics in Mathematics Education 5
- MATHS 712 Teaching and Learning in Algebra
- MATHS 713 Logic and Set Theory
- MATHS 714 Number Theory
- MATHS 715 Graph Theory and Combinatorics
- MATHS 720 Group Theory
- MATHS 721 Representations and Structure of Algebras and Groups
- MATHS 725 Lie Groups and Lie Algebras
- MATHS 730 Measure Theory and Integration
- MATHS 731 Functional Analysis
- MATHS 735 Analysis on Manifolds and Differential Geometry
- MATHS 740 Complex Analysis
- MATHS 750 Topology
- MATHS 761 Dynamical Systems
- MATHS 762 Nonlinear Partial Differential Equations
- MATHS 763 Advanced Partial Differential Equations
- MATHS 764 Mathematical Biology
- MATHS 765 Mathematical Modelling
- MATHS 766 Inverse Problems
- MATHS 769 Stochastic Differential and Difference Equations
- MATHS 770 Advanced Numerical Analysis
- MATHS 776B Honours Dissertation in Mathematics or Applied Mathematics
- MATHS 777 Project in Mathematics 1
- MATHS 781 Advanced Topic(s) in Mathematics 1
- MATHS 782 Advanced Topic(s) in Mathematics 2
- MATHS 783 Advanced Topic(s) in Mathematics 3
- MATHS 784 Advanced Topic(s) in Mathematics 4
- MATHS 785B Dissertation in Mathematics Education
- MATHS 786 Advanced Topic(s) in Applied Mathematics 1
- MATHS 787 Advanced Topic(s) in Applied Mathematics 2
- MATHS 788 Advanced Topic(s) in Applied Mathematics 3
- MATHS 789 Advanced Topic(s) in Applied Mathematics 4

**or 700 level courses in related subjects**:

Computer Science, Physics, Statistics

**90 points**:

### Master of Science (MSc) in Mathematics 240 point research masters

**At least 75 points in**

**Up to 45 points in 700 level courses in related subjects**:

And either:

**120 points**:

or

**90 points**:

**30 points from**:

- MATHS 701 Research Skills in Mathematics Education
- MATHS 702 Mathematics Curriculum
- MATHS 703 Theoretical Issues in Mathematics Education
- MATHS 705 Socio-political Issues in Mathematics Education
- MATHS 706 Technology and Mathematics Education
- MATHS 707 Special Topics in Mathematics Education 1
- MATHS 711B Special Topics in Mathematics Education 5
- MATHS 712 Teaching and Learning in Algebra
- MATHS 713 Logic and Set Theory
- MATHS 714 Number Theory
- MATHS 715 Graph Theory and Combinatorics
- MATHS 720 Group Theory
- MATHS 721 Representations and Structure of Algebras and Groups
- MATHS 725 Lie Groups and Lie Algebras
- MATHS 730 Measure Theory and Integration
- MATHS 731 Functional Analysis
- MATHS 735 Analysis on Manifolds and Differential Geometry
- MATHS 740 Complex Analysis
- MATHS 750 Topology
- MATHS 761 Dynamical Systems
- MATHS 762 Nonlinear Partial Differential Equations
- MATHS 763 Advanced Partial Differential Equations
- MATHS 764 Mathematical Biology
- MATHS 765 Mathematical Modelling
- MATHS 766 Inverse Problems
- MATHS 769 Stochastic Differential and Difference Equations
- MATHS 770 Advanced Numerical Analysis
- MATHS 776B Honours Dissertation in Mathematics or Applied Mathematics
- MATHS 777 Project in Mathematics 1
- MATHS 781 Advanced Topic(s) in Mathematics 1
- MATHS 782 Advanced Topic(s) in Mathematics 2
- MATHS 783 Advanced Topic(s) in Mathematics 3
- MATHS 784 Advanced Topic(s) in Mathematics 4
- MATHS 785B Dissertation in Mathematics Education
- MATHS 786 Advanced Topic(s) in Applied Mathematics 1
- MATHS 787 Advanced Topic(s) in Applied Mathematics 2
- MATHS 788 Advanced Topic(s) in Applied Mathematics 3
- MATHS 789 Advanced Topic(s) in Applied Mathematics 4
- MATHS 792B Research in Mathematics Education
- MATHS 793 Project in Mathematics 2
- MATHS 794 Project in Mathematics 3
- MATHS 795B MSc Thesis in Applied Mathematics
- MATHS 796B Masters Thesis Mathematics
- MATHS 797B Advanced Research in Mathematics Education

**Or 700 level courses in related subjects**:

### Postgraduate Diploma in Science (PGDipSci) in Mathematics

- At least 75 points in 700 level Mathematics courses
- Up to 45 points from level 600 and 700 courses in Mathematics or related subjects: Computer Science, Physics, Statistics

### Prerequisite courses

Before applying for the BSc(Hons), or MSc 240-point research masters in Mathematics, we recommended you complete MATHS 332 Real Analysis and one of MATHS 320 Algebraic Structures or MATHS 328 Algebra and Applications. Please note: Mathematics Education students may substitute MATHS 302 Perspectives in Mathematics Education for one of these courses.

## Courses

Explore the postgraduate courses you can take for a Mathematics specialisation:

## Where can postgraduate study in Mathematics take you?

A good mathematical background enhances and develops your problem-solving skills, comprehension of abstract concepts, and analytical and creative thinking. These are valued qualities in technical roles and positions of leadership and management. Our graduates take up positions in business, government, industry, research, planning and environmental organisations.

**Jobs related to Mathematics**

- Academic researcher
- Actuarial analyst
- Biostatistical or biotechnological analyst
- Consultant in ecological and sustainability analysis
- Data analyst
- Economic developer
- Government adviser (eg, IRD, Defence, Security Intelligence)
- Finance analyst (eg, in banks, investment funds, insurance)
- Information systems engineer
- Modeller (eg, engineering, industry, logistics)
- Meteorologist
- Operations research analyst
- Risk management consultant
- Software developer (eg, artificial intelligence, robotics)
- Statistical analyst
- Mathematics educator
- Telecommunications engineer

## Scholarships and awards

Each year we award scholarships and prizes to thousands of students.

Find out about the scholarships you may be eligible for, search available scholarships or begin an application by visiting Scholarships and awards.

## Help and advice

### Help and advice for Arts students

For help with planning your degree and enrolling in your courses, please contact the Arts Students' Centre.

### Help and advice for Science students

For further information and advice, please contact the Science Student Centre.

**Science Student Centre**

Level G, Room G 20

(Beside the entrance to the Large Chemistry Lecture Theatre)

Building 301

23 Symonds Street

Auckland 1010

**Phone**: +64 9 923 7020

**Email**: pgscience@auckland.ac.nz

To find a supervisor to work with you on your research project please see Postgraduate Research Topics or contact Professor Hinke Osinga.