If you are a graduate with a Mathematics degree, or even with a strong Mathematical component to your degree, you will be a valuable person in today's workforce, with a qualification that appeals to a wide range of employers including banks, insurance companies, schools and government departments.

There is strong employer demand for Mathematicians, due to a shortage of Mathematics graduates and in particular a critical shortage of Mathematics teachers.

Studying Mathematics in combination with another subject means you can work in a number of different fields, such as Chemistry, Biological Sciences, Earth Sciences, Economics, Finance, Engineering (Chemical and Biological Engineering, Civil Engineering, Electrical Engineering, Environmental Engineering, Materials and Process Engineering, Mechanical Engineering, Software Engineering), Physics, Electronics, Banking and Meteorology.

Capable students should consider the flexible double major options in Mathematics and Computer Science, or Mathematics and Data Analytics.

### Facilities at Waikato

The computing facilities at the University of Waikato are among the best in New Zealand, and you will have 24 hour access to computer labs equipped with all the latest computer software.

### Career opportunities

- Data Analyst
- Financial Analyst
- IT or Computing Analyst
- Mathematical Modeller
- Meteorologist
- Research Scientist
- Secondary School Teacher

### Qualifications

Study Mathematics in any of these qualifications

### Major subject:

### Minor subject:

- Bachelor of Computing and Mathematical Sciences with Honours
- Bachelor of Science
- Bachelor of Science (Technology)
- Or any other Bachelor degree within the University.

### Postgraduate subject:

### Papers

Papers available within this subject

### 100 level

Code | Paper Title | Occurrence / Location |
---|---|---|

ENGEN183 | Linear Algebra and Statistics for Engineers | 18A (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. | ||

ENGEN184 | Calculus for Engineers | 18A (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. | ||

MATHS101 | Introduction to Calculus | 18A (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. | ||

MATHS102 | Introduction to Algebra | 18A (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. | ||

MATHS135 | Discrete Structures | 18B (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... | ||

MATHS165 | General Mathematics | 18A (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. | ||

MATHS166 | Management Mathematics | 18A (Hamilton), 18A (Tauranga), 18B (Hamilton), 18B (Tauranga) & 18C (Zhejiang University City College, Hangzhou China) |

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. | ||

MATHS168 | Preparatory Mathematics | 18A (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. | ||

STATS111 | Statistics for Science | 18A (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. | ||

STATS121 | Introduction to Statistical Methods | 18A (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 |
---|---|---|

CSMAX270 | Cultural Perspectives for Computing and Mathematical Sciences | 18B (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. | ||

ENGEN201 | Engineering Mathematics 2 | 18B (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. | ||

MATHS201 | Continuing Calculus | 18B (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. | ||

MATHS202 | Linear Algebra | 18A (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. | ||

MATHS203 | Differential Equations and Modelling | 18B (Hamilton) |

Systems of ordinary differential equations and their applications, including phase plane methods. Introduction to partial differential equations. Fourier series. | ||

STATS221 | Statistical Data Analysis | 18A (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. | ||

STATS226 | Bayesian Statistics | 18B (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 |
---|---|---|

COMP340 | Reasoning about Programs | This paper will not be taught in 2018. |

This paper will not be taught in 2018. | ||

COMPX361 | Logic and Computation | 18B (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... | ||

MATH310 | Modern Algebra | 18B (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. | ||

MATH311 | Advanced Calculus | 18A (Hamilton) |

A study of advanced real calculus of one and many variables, real and complex analysis, complex calculus and its applications. | ||

MATH319 | Topics in Pure Mathematics | This paper will not be taught in 2018. |

This paper will not be taught in 2018. | ||

MATH320 | Discrete Mathematics and Number Theory | 18A (Hamilton) |

Further work in discrete mathematics and number theory. | ||

MATH329 | Topics in Applied Mathematics | 18A (Hamilton) |

An introduction to advanced topics in applied mathematics, including: potential theory and its applications, tensor analysis, and the calculus of variations. | ||

MATH331 | Methods of Applied Mathematics | 18B (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. | ||

MATH333 | Classical Field Theory | This paper will not be taught in 2018. |

This paper will not be taught in 2018. | ||

MATH334 | Classical and Quantum Mechanics | 18Y (Hamilton) |

The theory of classical mechanics from a variational point of view. Topics include fundamentals of quantum mechanics and the quantisation of elementary systems. | ||

MATH342 | Numerical Mathematics | This paper will not be taught in 2018. |

This paper will not be taught in 2018. | ||

MATH380 | Topic in Mathematics | 18A (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 |
---|---|---|

COMP502 | Cryptography | 18A (Hamilton) |

An introduction to cryptographic methods. | ||

MATH501 | Metric Spaces | 18A (Hamilton) |

No description available. | ||

MATH505 | Advanced Topics in Pure Mathematics | 18B (Hamilton) |

No description available. | ||

MATH506 | Combinatorics | This paper will not be taught in 2018. |

This paper will not be taught in 2018. | ||

MATH509 | Number Theory | This paper will not be taught in 2018. |

This paper will not be taught in 2018. | ||

MATH511 | Semigroups and Universal Algebra | This paper will not be taught in 2018. |

This paper will not be taught in 2018. | ||

MATH512 | Continuous Groups | This paper will not be taught in 2018. |

This paper will not be taught in 2018. | ||

MATH513 | Finite Groups | 18A (Hamilton) |

An in-depth study of the theory of finite groups. | ||

MATH515 | Analytic Number Theory | This paper will not be taught in 2018. |

This paper will not be taught in 2018. | ||

MATH516 | Topics in Discrete Mathematics | 18B (Hamilton) |

An introduction to graph theory and combinatorics, including network optimisation algorithms. | ||

MATH517 | Stochastic Differential Equations with Applications to Finance | 18A (Hamilton) |

A study of stochastic differential equations and their applications in the physical sciences and finance. | ||

MATH518 | Rings and Modules | This paper will not be taught in 2018. |

This paper will not be taught in 2018. | ||

MATH520 | Report of an Investigation | 18C (Hamilton) |

A directed investigation and report on an approved project or study topic. | ||

MATH541 | Classical Partial Differential Equations | 18B (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 | ||

MATH542 | Advanced Partial Differential Equations | This paper will not be taught in 2018. |

This paper will not be taught in 2018. | ||

MATH543 | Nonlinear Dynamics and Chaos | This paper will not be taught in 2018. |

This paper will not be taught in 2018. | ||

MATH553 | Fluid Dynamics | This paper will not be taught in 2018. |

This paper will not be taught in 2018. | ||

MATH554 | Astrophysical Fluids | This paper will not be taught in 2018. |

This paper will not be taught in 2018. | ||

MATH555 | Advanced Classical Mechanics | 18A (Hamilton) |

The theory of classical mechanics from a variational point of view. | ||

MATH556 | Quantum Mechanics | 18B (Hamilton) |

The fundamentals of quantum mechanics and quantisation for elementary systems. | ||

MATH564 | Special Relativity | This paper will not be taught in 2018. |

This paper will not be taught in 2018. | ||

MATH565 | General Relativity | This paper will not be taught in 2018. |

This paper will not be taught in 2018. | ||

MATH581 | Special Topic in Mathematics 1 | 18A (Hamilton) & 18B (Hamilton) |

One or more special topics in mathematics, at an advanced level. | ||

MATH582 | Special Topic in Mathematics 2 | 18A (Hamilton) & 18B (Hamilton) |

One or more special topics in mathematics, at an advanced level. | ||

MATH591 | Dissertation | 18C (Hamilton) |

A report on the findings of a theoretical or empirical investigation. | ||

MATH592 | Dissertation | 18C (Hamilton) |

A report on the findings of a theoretical or empirical investigation. | ||

MATH593 | Mathematics Thesis | 18C (Hamilton) |

An externally examined piece of written work that reports on the findings of supervised research. | ||

MATH594 | Mathematics Thesis | 18C (Hamilton) |

An externally examined piece of written work that reports on the findings of supervised research. | ||

SCIE501 | Research Methods in the Sciences | 18B (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 |
---|---|---|

MATH800 | Mathematics MPhil Thesis | 18C (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 |
---|---|---|

MATH900 | Mathematics PhD Thesis | 18C (Hamilton) |

No description available. |

### Scholarships and prizes

#### CMS International Exchange Scholarship

For students who have completed at least one year of study in the Faculty of Computing & Mathematical Sciences (FCMS), applied for a University of Waikato exchange programme, and who will be enrolled full-time in FCMS in the year of tenure.

Closing Date: 2018-07-31 23:59:00#### FCMS Summer Project Scholarships

This is by nomination only. Nominees must be high achieving undergraduate students currently enrolled part- or full-time in the Faculty of Computing & Mathematical Sciences. It supports a ten-week period of full-time project work during the summer break. The Scholarships will have a value of $5,000. Interested students should contact FCMS for further information.

Closing Date: 2015-10-16 23:59:00#### The A Zulauf Trust Scholarship

For students who are enrolled or intending to enrol full-time in the research portion (i.e. a 90- or 120-point thesis) of their Masters degree in Mathematics in the year of application. It is expected that the bulk of the research will take place in the year of application. The Scholarship has a value of up to $5,000.

Closing Date: 2016-09-30 23:59:00### Contacts

**Faculty of Computing & Mathematical Sciences**

**Phone: **0800 924 528 ext: 4322 or +64 7 838 4322**Email:** cms@waikato.ac.nz**Website:** cms.waikato.ac.nz**Facebook:** facebook.com/WaikatoFCMS