Mathematics (2018)

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 major for the Bachelor of Computing and Mathematical Sciences with Honours and the Bachelor of Science. Mathematics may also be included as a second major or minor in other undergraduate degrees, subject to the approval of the Faculty 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, MATHS102, MATHS201, MATHS202, and at least one of MATHS301 and MATHS302. Students may include up to 30 points of STATS-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, MATHS102, MATHS201, MATHS202, and at least one of MATHS301 and MATHS302. Students may include up to 30 points of STATS-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 from the papers listed for the Mathematics major, including at least 30 points above 100 level.

Note: Students who commenced a major in Mathematics in 2017 or prior are encouraged to contact the Faculty of Computing and Mathematical Sciences for programme advice.

Note on Assessment: 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. Because of the technical nature of the terminology and accepted international protocol, the Department of Mathematics requires that all assessment for all papers be presented in English. Payment for translation will not be available from the Department.


On this page

  • 100 level

    Code Paper Title Occurrence / Location
    ENGEN183Linear Algebra and Statistics for Engineers18A (Hamilton) & 18B (Hamilton)
    A study of introductory statistics and the fundamental techniques of algebra including Gaussian elimination, vector and matrix algebra, complex numbers, eigenvalues and eigenvectors, as well as basic statistical notions and tools, with engineering applications.
    ENGEN184Calculus for Engineers18A (Hamilton), 18B (Hamilton) & 18S (Hamilton)
    A study of the fundamental techniques of calculus, including differentiation and integration for functions of one real variable, with engineering applications.
    MATHS101Introduction to Calculus18A (Hamilton) & 18B (Hamilton)
    A study of the fundamental techniques of calculus, including differentiation and integration for functions of one real variable, with applications to rate problems, graph sketching, areas and volumes.
    MATHS102Introduction to Algebra18A (Hamilton) & 18B (Hamilton)
    A study of the fundamental techniques and applications of algebra including Gaussian elimination, vector and matrix algebra, complex numbers, induction and recursion.
    MATHS135Discrete Structures18B (Hamilton)
    An introduction to a number of the structures of discrete mathematics with wide applicability in areas such as: computer logic, analysis of algorithms, telecommunications, networks and public key cryptography. In addition it introduces a number of fundamental concepts which are useful in Statistics, Computer Science and further stu...
    MATHS165General Mathematics18A (Hamilton) & 18B (Hamilton)
    An introduction to algebra, calculus and applications for students without NCEA Level 3 Mathematics. Students who meet the prerequisites of MATH101 and/or MATH102 should take these papers instead.
    MATHS166Management Mathematics18A (Hamilton), 18A (Tauranga), 18B (Hamilton) & 18B (Tauranga)
    An introduction to algebra and calculus for students in Management or Social Sciences. Students who meet the prerequisites of MATH101 and/or MATH102 may wish to take these paper(s) instead.
    MATHS168Preparatory Mathematics18A (Hamilton) & 18B (Hamilton)
    Basic algebraic concepts and an introduction to Calculus and Statistics. This paper provides a last chance for students to correct a weak background in mathematics. Students who meet the prerequisites of MATH165 or MATH166 should take one of those papers instead.
    STATS111Statistics for Science18A (Hamilton), 18A (Tauranga), 18B (Hamilton), 18B (Online) & 18B (Tauranga)
    This paper provides a first course in statistics for students in the Faculty of Science and Engineering. Microsoft Excel is used throughout. Topics include the collection and presentation of data, basic principles of experimental design, hypothesis testing, regression and the analysis of categorical data.
    STATS121Introduction to Statistical Methods18A (Hamilton)
    An introduction to statistical data collection and analysis. Topics include general principles for statistical problem solving; some practical examples of statistical inference; and the study of relationships between variables using regression analysis.
  • 200 level

    Code Paper Title Occurrence / Location
    CSMAX270Cultural Perspectives for Computing and Mathematical Sciences18B (Hamilton)
    The paper provides students with an understanding of scientific and culture-specific perspectives on computing and mathematical science issues and the ability to apply these in diverse contexts.
    ENGEN201Engineering Mathematics 218B (Hamilton)
    Calculus of Several Variables and its Applications. Vector calculus (Green's, Gauss' and Stokes' theorems). Taylor's Theorem in n dimensions. Introduction to partial differential equations. Fourier series.
    MATHS201Continuing Calculus18B (Hamilton)
    Calculus of Several Variables and its Applications. Vector calculus (Green's, Gauss' and Stokes' theorems). Taylor's Theorem in n dimensions. The gamma and beta functions.
    MATHS202Linear Algebra18A (Hamilton)
    A formal approach to linear algebra, with applications. Topics include: axioms of a vector space, linear independence, spanning sets and bases. Linear transformations, the Gram-Schmidt process.
    MATHS203Differential Equations and Modelling18B (Hamilton)
    Systems of ordinary differential equations and their applications, including phase plane methods. Introduction to partial differential equations. Fourier series.
    STATS221Statistical Data Analysis18A (Hamilton)
    This paper introduces students to the R programming language which is used to investigate a collection of real data sets. Analysis of variance, multiple regression, non parametric methods and time series are covered.
    STATS226Bayesian Statistics18B (Hamilton)
    This paper introduces statistical methods from a Bayesian perspective, which gives a coherent approach to the problem of revising beliefs given relevant data. It is particularly relevant for data analytics, statistics, mathematics and computer science.
  • 300 level

    Code Paper Title Occurrence / Location
    COMP340Reasoning about ProgramsThis paper will not be taught in 2018.
    This paper will not be taught in 2018.
    COMPX361Logic and Computation18B (Hamilton)
    The syllabus includes: further development of predicate logic with application to program verification; mathematical induction including structural induction; finite state automata and regular languages; Kleene's Theorem; Turing machines, the Church-Turing thesis, universal Turing machines and the Halting problem; formal grammars a...
    MATH310Modern Algebra18B (Hamilton)
    An introduction to groups, rings and fields, which have applications to symmetry, physics, coding and cryptography, as well as many areas of mathematics such as number theory and geometry.
    MATH311Advanced Calculus18A (Hamilton)
    A study of advanced real calculus of one and many variables, real and complex analysis, complex calculus and its applications.
    MATH319Topics in Pure MathematicsThis paper will not be taught in 2018.
    This paper will not be taught in 2018.
    MATH320Discrete Mathematics and Number Theory18A (Hamilton)
    Further work in discrete mathematics and number theory.
    MATH329Topics in Applied Mathematics18A (Hamilton)
    An introduction to advanced topics in applied mathematics, including: potential theory and its applications, tensor analysis, and the calculus of variations.
    MATH331Methods of Applied Mathematics18B (Hamilton)
    A study of the theory and applications of differential equations, solution methods including separation of variables, eigen-function expansions, integral transforms and complex variable methods.
    MATH333Classical Field TheoryThis paper will not be taught in 2018.
    This paper will not be taught in 2018.
    MATH334Classical and Quantum Mechanics18Y (Hamilton)
    The theory of classical mechanics from a variational point of view. Topics include fundamentals of quantum mechanics and the quantisation of elementary systems.
    MATH342Numerical MathematicsThis paper will not be taught in 2018.
    This paper will not be taught in 2018.
    MATH380Topic in Mathematics18A (Hamilton) & 18B (Hamilton)
    A topic in mathematics taught as either a reading or short lecture course.
  • Prescriptions for the 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 Faculty of Computing and Mathematical Sciences Office.

  • Prescriptions for the BCMS(Hons), PGCert(Math), PGDip(Math), BA(Hons), BSc(Hons), MA, MSc and MSc (Research)

    To complete a BA(Hons) in Mathematics, students must gain 120 points at 500 level, including at least 30 points in research (normally MATH591) and at least 30 points from papers listed for Mathematics.

    To complete an MA in Mathematics, students must take a 120 point thesis, a 90 point thesis and 30 points from approved 500 level papers, or a 60 point dissertation and 60 points in approved 500 level papers.

    Candidates for graduate qualifications should select their papers in consultation with the Graduate Adviser of the Department of Mathematics.

    Enrolment in papers towards the BSc(Hons) is only by invitation of the Chairperson. 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 MATH591).

    Code Paper Title Occurrence / Location
    COMP502Cryptography18A (Hamilton)
    An introduction to cryptographic methods.
    MATH501Metric Spaces18A (Hamilton)
    No description available.
    MATH505Advanced Topics in Pure Mathematics18B (Hamilton)
    No description available.
    MATH506CombinatoricsThis paper will not be taught in 2018.
    This paper will not be taught in 2018.
    MATH509Number TheoryThis paper will not be taught in 2018.
    This paper will not be taught in 2018.
    MATH511Semigroups and Universal AlgebraThis paper will not be taught in 2018.
    This paper will not be taught in 2018.
    MATH512Continuous GroupsThis paper will not be taught in 2018.
    This paper will not be taught in 2018.
    MATH513Finite Groups18A (Hamilton)
    An in-depth study of the theory of finite groups.
    MATH515Analytic Number TheoryThis paper will not be taught in 2018.
    This paper will not be taught in 2018.
    MATH516Topics in Discrete Mathematics18B (Hamilton)
    An introduction to graph theory and combinatorics, including network optimisation algorithms.
    MATH517Stochastic Differential Equations with Applications to Finance18A (Hamilton)
    A study of stochastic differential equations and their applications in the physical sciences and finance.
    MATH518Rings and ModulesThis paper will not be taught in 2018.
    This paper will not be taught in 2018.
    MATH520Report of an Investigation18C (Hamilton)
    A directed investigation and report on an approved project or study topic.
    MATH541Classical Partial Differential Equations18B (Hamilton)
    Topics chosen from: first-order equations; the method of characteristics; second-order equations: wave, diffusion, and potential; separation of variables; initial and boundary value problems; applications: heat and mass transfer, fluid dynamics, finance
    MATH542Advanced Partial Differential EquationsThis paper will not be taught in 2018.
    This paper will not be taught in 2018.
    MATH543Nonlinear Dynamics and ChaosThis paper will not be taught in 2018.
    This paper will not be taught in 2018.
    MATH553Fluid DynamicsThis paper will not be taught in 2018.
    This paper will not be taught in 2018.
    MATH554Astrophysical FluidsThis paper will not be taught in 2018.
    This paper will not be taught in 2018.
    MATH555Advanced Classical Mechanics18A (Hamilton)
    The theory of classical mechanics from a variational point of view.
    MATH556Quantum Mechanics18B (Hamilton)
    The fundamentals of quantum mechanics and quantisation for elementary systems.
    MATH564Special RelativityThis paper will not be taught in 2018.
    This paper will not be taught in 2018.
    MATH565General RelativityThis paper will not be taught in 2018.
    This paper will not be taught in 2018.
    MATH581Special Topic in Mathematics 118A (Hamilton) & 18B (Hamilton)
    One or more special topics in mathematics, at an advanced level.
    MATH582Special Topic in Mathematics 218A (Hamilton) & 18B (Hamilton)
    One or more special topics in mathematics, at an advanced level.
    MATH591Dissertation18C (Hamilton)
    A report on the findings of a theoretical or empirical investigation.
    MATH592Dissertation18C (Hamilton)
    A report on the findings of a theoretical or empirical investigation.
    MATH593Mathematics Thesis18C (Hamilton)
    An externally examined piece of written work that reports on the findings of supervised research.
    MATH594Mathematics Thesis18C (Hamilton)
    An externally examined piece of written work that reports on the findings of supervised research.
    SCIE501Research Methods in the Sciences18B (Hamilton)
    This paper will enable students to develop the necessary communication skills and familiarity with research methods and practice to allow them to progress to the thesis component of a masters degree in the sciences, or to extend communication and research skills in those not taking a full research degree.
  • Prescriptions for the MPhil

    The Master of Philosophy is an 18 month 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.

    Code Paper Title Occurrence / Location
    MATH800Mathematics MPhil Thesis18C (Hamilton)
    No description available.
  • Prescriptions for the 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.

    Code Paper Title Occurrence / Location
    MATH900Mathematics PhD Thesis18C (Hamilton)
    No description available.

2018 Catalogue of Papers information current as of : 10 November 2017 1:31pm

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