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Study Mathematics at Otago

A short definition of Mathematics would be “the study of quantities and how they are measured, combined, related, and operated upon”.

We use mathematics for practical things like organising the arrival of materials on a building site in order to reduce storage; encrypting and decrypting internet messages; modelling blood flow through a damaged heart; and predicting the break-up of ice floes.

These are all mathematics in action – mathematics making a real difference in the world where we live. Mathematics looks at the distribution of prime numbers, the properties of geometric figures, how dependent variables change, and what happens when you add up infinitely many terms.

Studying these ideas lays the foundation for using mathematics to solve real-life problems.

Apply for the Bachelor of Science (BSc) (2023 applications) through the Dunedin campus in 2023

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Apply for the Bachelor of Science (BSc) (2024 applications) through the Dunedin campus in 2024

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Why study Mathematics?

You build a solid foundation for analysing and understanding the mass of quantitative data that is available these days. You develop problem solving and organisational skills that are highly sought after by  employers. You learn to think both logically and creatively. You discover an amazingly varied and profoundly rich science that has an intrinsic beauty. You get your mind around some of the ancient problems that have fascinated humans for centuries.

Background required?

If your mathematics background is only to Year 12 or Year 11, you can still progress in Mathematics at Otago by taking MATH 120 Mathematics for Scientists or MATH 130 Fundamentals of Modern Mathematics 1 (a background is NCEA level 2 Mathematics with Calculus is recommended).

Career opportunities

Career options for Mathematics graduates are much wider than you might think. Many students take jobs where mathematics is not the main focus of the business, and yet their mathematical skills are their greatest asset. That is because mathematics and the analytical and logical thinking that it teaches are vital in understanding and solving all manner of quantitative problems, from electricity generation to data  compression, from weather forecasting to the study of bone density loss.

Mathematics graduates, especially those with a well-rounded background in mathematical, statistical, and computer skills, have a qualification that integrates perfectly into the modern, technology-based world. 

Applied mathematicians are in demand wherever employers need deterministic models, for example, in seismology and the earth sciences, meteorology, the chemical and forensic industries, health, ecology and conservation, transportation and scheduling, engineering, and computing, to name a few. And for those with both applied Mathematics and Statistics, i.e. a background in both deterministic and stochastic models, one can add to the above list the areas of social science, financial services and insurance, epidemiology, quality assurance, economics, policy, government, and many others.

Teaching style

Most Mathematics papers at Otago involve several lectures a week, usually 50 minutes long. You need to take notes based on the material presented, although in some papers part of the material is already available in outline notes that are followed closely.

There will also be tutorials that are really advice sessions, where you can go along and ask for help with weekly exercises or with understanding course material. Some papers have compulsory tutorials, others  have open tutorials where you can go as many times as you wish. Apart from the final examination, you are assessed internally based on exercise marks, a mid-semester test, or a series of computer tests. Papers differ but in all cases your internal assessment is an important part of your overall grading.

Qualifications

Explore your study options further. Refer to enrolment information found on the following qualification pages.

Programme requirements

Bachelor of Arts (BA) majoring in Mathematics

Level Papers Points
100-level

MATH 130  Fundamentals of Modern Mathematics 1

MATH 140  Fundamentals of Modern Mathematics 2

COMO 101 highly recommended

COMP 161, COMP 162, ENGL 127 recommended

18

18

200-level

COMO 204  Differential Equations

MATH 201  Real Analysis

MATH 202  Linear Algebra

MATH 203  Calculus of Several Variables

STAT 260, STAT 270, PHIL 222, COMP 242 recommended

18

18

18

18

300-level

Four 300-level MATH or COMO papers

72

Plus

At least one 18 point STAT paper

162 further points must include at least 54 points at 200-level or above. Up to 90 points may be taken from outside Arts.

18

162

Total   360

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

Papers

Postgraduate Diploma in Arts Subjects (PGDipArts) in Mathematics

The Postgraduate Diploma in Arts Subjects (PGDipArts) programme in Mathematics is the same as the programme for the degree of Bachelor of Arts with Honours (BA(Hons)).

Master of Arts (Thesis) (MA(Thesis)) in Mathematics

Thesis
  • Thesis: MATH 5

Note: Students who have not completed a Bachelor of Arts (BA(Hons)) in Mathematics or a Postgraduate Diploma in Arts Subjects (PGDipArts) in Mathematics must complete the required papers for the BA(Hons) in Mathematics prior to undertaking the thesis.

Bachelor of Science (BSc) majoring in Mathematics

Level Papers Points
100-level

MATH 130  Fundamentals of Modern Mathematics 1

MATH 140  Fundamentals of Modern Mathematics 2

COMO 101 highly recommended

COMP 161, COMP 162, ENGL 127 recommended

18

18

200-level

COMO 204  Differential Equations

MATH 201  Real Analysis

MATH 202  Linear Algebra

MATH 203  Calculus of Several Variables

STAT 260, STAT 270, PHIL 222, COMP 242 recommended

18

18

18

18

300-level

Four 300-level MATH or COMO papers

72

Plus

At least one 18 point STAT paper

162 further points must include at least 54 points at 200-level or above. Up to 90 points may be taken from outside Science.

18

162

Total   360

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

Papers

Postgraduate Diploma in Science (PGDipSci) in Mathematics

Papers

Master of Science (MSc) in Mathematics

Papers and Thesis
  • MATH 495  Master's Thesis Preparation

  • Four 400-level MATH papers

  • Thesis: MATH 5

    Note: The papers are normally taken before undertaking the thesis.

Minor subject requirements

Mathematics as a minor subject for a BA, MusB, BPA, BTheol, BSc, BAppSc, BCom, BEntr, BHealSc, BACom, BASc or BComSc degree

Available as a minor subject for a Bachelor of Arts (BA), Bachelor of Music (MusB), Bachelor of Performing Arts (BPA), Bachelor of Theology (BTheol), Bachelor of Science (BSc), Bachelor of Applied Science (BAppSc), Bachelor of Commerce (BCom), Bachelor of Entrepreneurship (BEntr), Bachelor of Health Science (BHealSc), Bachelor of Arts and Commerce (BACom), Bachelor of Arts and Science (BASc) or Bachelor of Commerce and Science (BComSc) degree

Level Papers Points
100-level

MATH 130  Fundamentals of Modern Mathematics 1

MATH 140  Fundamentals of Modern Mathematics 2

18

18

200-level

MATH 202  Linear Algebra

MATH 203  Calculus of Several Variables

18

18

300-level

One 300-level MATH paper

18

Total   90

Papers

MATH papers

Paper code Year Title Points Teaching period
MATH120 2023 Mathematics for Scientists 18 points Semester 1, Semester 2, Summer School
MATH130 2023 Fundamentals of Modern Mathematics 1 18 points Semester 1, Semester 2
MATH140 2023 Fundamentals of Modern Mathematics 2 18 points Semester 2
MATH201 2023 Real Analysis 18 points Semester 2
MATH202 2023 Linear Algebra 18 points Semester 1
MATH203 2023 Calculus of Several Variables 18 points Semester 2
MATH301 2023 Introduction to Functional Analysis 18 points Semester 1
MATH302 2023 Complex Analysis 18 points Semester 2
MATH304 2023 Partial Differential Equations 18 points Semester 1
MATH306 2023 Geometry of Curves and Surfaces 18 points Semester 2
MATH342 2023 Modern Algebra 18 points Semester 2
MATH374 2023 Mathematical Physics 18 points Semester 2
MATH401 2023 Topics in Advanced Mathematics 20 points Semester 1
MATH402 2023 Topics in Advanced Mathematics 20 points Semester 2
MATH403 2023 Topics in Advanced Mathematics 20 points Semester 1
MATH404 2023 Topics in Advanced Mathematics 20 points Semester 1
MATH405 2023 Topics in Advanced Mathematics 20 points Semester 1
MATH406 2023 Topics in Advanced Mathematics 20 points Semester 2
MATH407 2023 Topics in Advanced Mathematics 20 points Semester 1
MATH408 2023 Topics in Advanced Mathematics 20 points Semester 2
MATH409 2023 Topics in Advanced Mathematics 20 points Semester 1
MATH410 2023 Topics in Advanced Mathematics 20 points Semester 2
MATH411 2023 Topics in Advanced Mathematics 20 points Semester 2
MATH412 2023 Topics in Advanced Mathematics 20 points Semester 2
MATH490 2023 Dissertation 40 points Full Year, 1st Non standard period
MATH495 2023 Master's Thesis Preparation 40 points Full Year, 1st Non standard period

COMO papers

Paper code Year Title Points Teaching period
COMO101 2023 Modelling and Computation 18 points Semester 2
COMO204 2023 Differential Equations 18 points Semester 1
COMO303 2023 Numerical Methods 18 points Not offered in 2023
COMO480 2023 Research Project 40 points Not offered in 2023

Key information for future students

Contact us

Department of Mathematics and Statistics

Email maths@otago.ac.nz
Website otago.ac.nz/maths