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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.

    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.

    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.

    Recommended background

    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).

    Choose a study option

    Whether you're embarking on your academic journey with our comprehensive undergraduate programmes or aiming to reach new heights through our advanced postgraduate offerings, Otago is here to support your aspirations.

    Undergraduate qualifications

    For new and current students studying towards a Bachelor's or other first degree. Explore undergraduate qualifications at Otago, designed to build a strong foundation in your chosen field, preparing you for a successful career or further study.

    Note: this subject can also be studied as a minor.

    Ready to apply?

    Take the first step towards your future in this subject.

    Further study opportunities

    Whether you are looking to bridge your undergraduate studies to advanced knowledge or aiming to specialise in a specific field, Otago offers a range of graduate and postgraduate options to suit your aspirations.

    Programme details

    Compare programmes for this subject as a major and minor (where available).

    LevelPapersPoints
    100-level MATH 130 Fundamentals of Modern Mathematics 1 18
    MATH 140 Fundamentals of Modern Mathematics 2 18
    COMO 101 highly recommended 
    COMP 161, COMP 162 , ENGL 127 recommended  
    200-level COMO 204 Differential Equations 18
    MATH 201 Real Analysis 18
    MATH 202 Linear Algebra 18
    MATH 203 Calculus of Several Variables 18
    STAT 260, STAT 270, PHIL 222, COSC 201 recommended 
    300-level Four 300-level MATH or COMO papers 72
    Plus At least one 18 point STAT paper 18
    162 further points must include at least 54 points at 200-level or above. Up to 90 points may be taken from outside Arts. 162
    Total 360

    LevelPapersPoints
    100-level MATH 130 Fundamentals of Modern Mathematics 1 18
    MATH 140 Fundamentals of Modern Mathematics 2 18
    COMO 101 highly recommended
    COMP 161, COMP 162, ENGL 127 recommended
     
    200-level COMO 204 Differential Equations 18
    MATH 201 Real Analysis 18
    MATH 202 Linear Algebra 18
    MATH 203 Calculus of Several Variables 18
    STAT 260, STAT 270, PHIL 222, COSC 201recommended 
    300-level Four papers from 300-level MATH, COMO papers, and PHSI 336 72
    Plus At least one 18 point STAT paper 18
    162 further points must include at least 54 points at 200-level or above. Up to 90 points may be taken from outside Science. 162
    Total  360

    A minor subject can be included in many of our undergraduate degrees. To earn a minor, you typically must complete a minimum of 90 points in that subject, with at least 18 points at the 300-level.

    Your minor can be a subject more commonly taken for a different degree. For example, a BCom majoring in Marketing can include Japanese as a minor subject. To include this subject as a minor in your application, first find a major subject through our Subject Search or Study Match.

    You can check what’s required to receive the minor accreditation in the programme details below.

    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 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

    LevelPapersPoints
    100-level

    MATH 130 Fundamentals of Modern Mathematics 1

    MATH 140 Fundamentals of Modern Mathematics 2

    18

    18

    200-level

    Two of

    COMO 204 Differential Equations

    MATH 201 Real Analysis

    MATH 202 Linear Algebra

    MATH 203 Calculus of Several Variables

    36

    300-level

    One 300-level paper in MATH; or COMO 303; or PHSI 336

    18

    Total   90

    Papers

    View a list of all related papers below.

    COMO papers

    Paper Code Year Title Points Teaching period
    COMO101 2025 Modelling and Computation 18 points Semester 2
    COMO204 2025 Differential Equations 18 points Semester 1
    COMO303 2025 Numerical Methods 18 points Semester 1
    COMO480 2025 Research Project 40 points Not offered in 2025

    MATH papers

    Paper Code Year Title Points Teaching period
    MATH120 2025 Mathematics for Scientists 18 points Summer School, Semester 1
    MATH130 2025 Fundamentals of Modern Mathematics 1 18 points Semester 1, Semester 2
    MATH140 2025 Fundamentals of Modern Mathematics 2 18 points Semester 2
    MATH201 2025 Real Analysis 18 points Semester 2
    MATH202 2025 Linear Algebra 18 points Semester 1
    MATH203 2025 Calculus of Several Variables 18 points Semester 2
    MATH301 2025 Introduction to Functional Analysis 18 points Semester 1
    MATH302 2025 Complex Analysis 18 points Semester 2
    MATH304 2025 Partial Differential Equations 18 points Semester 1
    MATH306 2025 Geometry of Curves and Surfaces 18 points Semester 2
    MATH342 2025 Modern Algebra 18 points Semester 2
    MATH421 2025 Analytic Number Theory 10 points Semester 1
    MATH422 2025 Functional Analysis 10 points Semester 2
    MATH423 2025 Measure and Integration 10 points Semester 1
    MATH424 2025 Techniques in Applied Mathematics I 10 points Semester 2
    MATH425 2025 Differential Geometry 10 points Semester 1
    MATH426 2025 Techniques in Applied Mathematics II 10 points Semester 2
    MATH427 2025 Advanced Algebra 10 points Semester 1
    MATH428 2025 Optimization 10 points Semester 1
    MATH429 2025 Introduction to General Relativity 10 points Not offered in 2025
    MATH431 2025 Topics in Advanced Mathematics 10 points Semester 1
    MATH432 2025 Topics in Advanced Mathematics 10 points Semester 2
    MATH433 2025 Topics in Advanced Mathematics 10 points Not offered in 2025
    MATH434 2025 Topics in Advanced Mathematics 10 points Semester 2
    MATH435 2025 Topics in Advanced Mathematics 10 points Not offered in 2025
    MATH436 2025 Topics in Advanced Mathematics 10 points Semester 2
    MATH490 2025 Dissertation 40 points Full Year
    MATH495 2025 Master's Thesis Preparation 40 points Full Year

    More information

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