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    Discover patterns, solve problems, and apply mathematics where it matters.

    Why study Mathematics?

    Mathematics shapes the world in ways you see and ways you do not. It guides construction planning, protects digital information, drives medical modelling and helps us understand climate systems. It also opens the door to deep ideas like patterns in prime numbers, elegant geometry and the nature of infinity.

    When you study mathematics, you build a toolkit for tackling real problems. You'll learn to analyse complex situations, break challenges into manageable parts, and find creative solutions. These skills transfer across careers in technology, finance, data science, research, engineering and many other fields.

    And there is more to it than practical use. Mathematics is beautiful. It offers pure intellectual challenge and the thrill of exploring ideas that have inspired thinkers for generations. It is about curiosity, imagination and the excitement of discovering how things truly work.

    Career opportunities

    Studying mathematics opens countless pathways. You gain a flexible skill set that lets you shape your future in many directions, from industry to research to teaching.

    Here are five career pathways you might follow:

    • Data analyst or data scientist
    • Software or algorithm developer
    • Teacher, educator or academic
    • Quantitative modeller, building models for finance, engineering or science
    • Researcher in applied mathematics or a mathematics-adjacent field

    How you will learn

    You will learn through a mix of lectures, tutorials and hands-on assessment, and the focus is always on understanding ideas and being able to use them. Some papers include compulsory tutorials. Others offer open sessions where you can come as often as you like. These are supportive spaces to ask questions, practise key concepts and build confidence.

    Assessment looks different across papers but usually includes regular exercises, mid-semester tests, computer-based work and a final exam. Internal assessment is an important part of your grade, so you get steady feedback as you learn.

    Recommended high school subjects for undergraduate study

    Year 13 maths is recommended. If you’ve only studied maths to Year 11 or 12, you can still get started at Otago with MATH 120 Mathematics for Scientists, or MATH 130 Fundamentals of Modern Mathematics 1 (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.

    Josh Signal

    I work as a power trader in a Sydney-based hedge fund (think The Big Short but for electricity instead of housing debt). I compete to quickly and accurately predict the price of electricity based on the weather (solar, wind, hydroelectricity), economic factors, behavioural factors, statistics, and regulatory changes. It is highly competitive and ridiculously fast-paced. If you could find the financial desk-job-equivalent of being an athlete, this would be it. Every aspect of the role involves rigorous interrogation of concepts and assumptions, which is the core skill that Maths teaches you.


    Josh Signal

    Bachelor of Science with Honours (Mathematics)
    Trading Analyst, Pacific Energy Trading

    Study Mathematics at Otago – where world-class research meets outstanding teaching

    At Otago’s Department of Mathematics and Statistics you’ll learn from scholars who are doing exciting research every day, including Fellows of the Royal Society Te Apārangi and Engineering New Zealand, and they bring those discoveries straight into your classroom. Our combined programme with Statistics is flexible so you can shape your study to match what you care about most, whether that’s health, environment, technology or business.

    We provide strong pathways into postgraduate study and research, with standout expertise in ecology and evolutionary genetics, mathematical and numerical relativity, and computational statistics. Consider also studying a minor in Computational Modelling which develops skills in programming, mathematical modelling and data analysis.

    You'll learn in small classes with accessible teaching staff and connect with other students who share your interest in mathematics.

    Programme details

    Compare programmes for this subject.

    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 121, COMP 122, ENGL 127recommended
     
      Note: COMP 161 and COMP 162 were offered up to the end of 2025 and replaced in 2026 by COMP 121 and COMP 122.  
    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 
      Note: STAT 260 and COSC 201 will be offered up to the end of 2026 and replaced in 2027 by DATA 201 and COMP 221. 
    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

     

    Note: Students who have credited at least one of COMO 204, MATH 201, 202, or 203 towards the requirements of another major only need to take one other paper from this list to fulfil the 200-level requirements for a minor in mathematics.

     
    Total   90

    Papers

    View a list of all related papers below.

    COMO papers

    Paper Code Year Title Points Teaching period
    COMO101 2026 Modelling and Computation 18 points Semester 2
    COMO204 2026 Differential Equations 18 points Semester 1
    COMO303 2026 Numerical Methods 18 points Semester 1
    COMO480 2026 Research Project 40 points Not offered in 2026

    MATH papers

    Paper Code Year Title Points Teaching period
    MATH120 2026 Mathematics for Scientists 18 points Summer School, Semester 1
    MATH130 2026 Fundamentals of Modern Mathematics 1 18 points Semester 1, Semester 2
    MATH140 2026 Fundamentals of Modern Mathematics 2 18 points Semester 2
    MATH201 2026 Real Analysis 18 points Semester 2
    MATH202 2026 Linear Algebra 18 points Semester 1
    MATH203 2026 Calculus of Several Variables 18 points Semester 2
    MATH301 2026 Introduction to Functional Analysis 18 points Semester 1
    MATH302 2026 Complex Analysis 18 points Semester 2
    MATH304 2026 Partial Differential Equations 18 points Semester 1
    MATH306 2026 Geometry of Curves and Surfaces 18 points Semester 2
    MATH342 2026 Modern Algebra 18 points Semester 2
    MATH421 2026 Analytic Number Theory 10 points Semester 1
    MATH422 2026 Functional Analysis 10 points Semester 2
    MATH423 2026 Measure and Integration 10 points Semester 1
    MATH424 2026 Techniques in Applied Mathematics I 10 points Semester 2
    MATH425 2026 Differential Geometry 10 points Semester 1
    MATH426 2026 Techniques in Applied Mathematics II 10 points Semester 2
    MATH427 2026 Advanced Algebra 10 points Semester 1
    MATH428 2026 Optimization 10 points Not offered in 2026, expected to be offered in 2027
    MATH429 2026 Introduction to General Relativity 10 points Semester 1
    MATH431 2026 Topics in Advanced Mathematics 10 points Semester 1
    MATH432 2026 Topics in Advanced Mathematics 10 points Semester 2
    MATH433 2026 Topics in Advanced Mathematics 10 points Semester 1, Semester 2
    MATH434 2026 Topics in Advanced Mathematics 10 points Semester 2
    MATH435 2026 Topics in Advanced Mathematics 10 points Semester 1
    MATH436 2026 Topics in Advanced Mathematics 10 points Semester 2
    MATH490 2026 Dissertation 40 points Full Year
    MATH495 2026 Master's Thesis Preparation 40 points Full Year

    More information

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    Regulations on this page are taken from the 2026 Calendar and supplementary material.

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