Mathematics
Mathematics is a subject of vital importance that underpins many activities of our modern world. Employers recognise University of Waikato Mathematics graduates for their analytical and problem solving skills as well as their high level of numeracy, which are critical skills for a broad range of jobs.
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.
Key information
| Study Locations: | Hamilton, Tauranga Papers offered differ by location. The Catalogue of Papers has full location info. |
|---|---|
| Area of Study: |
Study Mathematics in these qualifications
Study Mathematics as a specialisation of
- Bachelor of Communication
- Bachelor of Health, Sport and Human Performance
- Bachelor of Laws
- Bachelor of Management Studies with Honours
- Bachelor of Music
- Bachelor of Science
- Bachelor of Science (Technology)
- Bachelor of Social Sciences
- Certificate
- Diploma
- Doctor of Philosophy
- Graduate Certificate
- Graduate Diploma
- Master of Arts
- Master of Arts (Applied)
- Master of Management Studies
- Master of Philosophy
- Master of Science
- Master of Science (Research)
- Master of Science (Technology)
- Master of Social Sciences
- Postgraduate Certificate
- Postgraduate Diploma
Career opportunities
- Data Analyst
- Financial Analyst
- IT or Computing Analyst
- Mathematical Modeller
- Meteorologist
- Research Scientist
- Secondary School Teacher
Papers
Available Mathematics papers
100 Level
| Code | Paper Title | Points | Occurrence / Location |
|---|---|---|---|
| CSMAX170 | Foundations in Computing and Mathematical Sciences | 15.0 | 23A (Hamilton) & 23A (Tauranga) |
| The objective of this paper is to provide students with the academic foundations for computing and mathematical sciences. The paper will cover the following areas: -Effective academic reasoning and communication -Information literacy and research skills -Academic integrity -Techniques and tools in the computing and mathematical sci... | |||
| ENGEN101 | Engineering Maths and Modelling 1A | 15.0 | 23A (Hamilton), 23A (Secondary School - Unistart), 23A (Tauranga) & 23B (Hamilton) |
| A study of the fundamental techniques of algebra and calculus with engineering applications. | |||
| ENGEN102 | Engineering Maths and Modelling 1B | 15.0 | 23B (Hamilton), 23B (Secondary School - Unistart), 23B (Tauranga) & 23G (Hamilton) |
| A further study of the fundamental techniques of algebra and calculus with engineering applications. Includes an introduction to relevant statistical methods. | |||
| MATHS101 | Introduction to Calculus | 15.0 | 23B (Hamilton) & 23B (Secondary School - Unistart) |
| 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 | 15.0 | 23A (Hamilton) & 23A (Secondary School - Unistart) |
| 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 | 15.0 | 23B (Hamilton), 23B (Secondary School - Unistart) & 23B (Tauranga) |
| 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 | 15.0 | 23A (Hamilton) |
| An introduction to algebra, calculus and applications for students without NCEA Level 3 Mathematics. Students who meet the prerequisites of MATHS101 and/or MATHS102, should take these papers instead. | |||
| MATHS166 | Management Mathematics | 15.0 | 23A (Hamilton) & 23X (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 MATHS101 and/or MATHS102 may wish to take these paper(s) instead. | |||
| MATHS168 | Preparatory Mathematics | 15.0 | 23A (Hamilton), 23B (Hamilton) & 23JS (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 MATHS165 or MATHS166 should take one of those papers instead. | |||
| RPLCR103 | Recognition of Prior Learning - Introduction to Calculus | 15.0 | 23A (Hamilton) & 23H (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. | |||
| RPLCR104 | Recognition of Prior Learning - Introduction to Algebra | 15.0 | 23A (Hamilton) & 23H (Hamilton) |
| A study of the fundamental techniques and applications of algebra including Gaussian elimination, vector and matrix algebra, complex numbers, induction and recursion. | |||
200 Level
| Code | Paper Title | Points | Occurrence / Location |
|---|---|---|---|
| CSMAX270 | Cultural Perspectives for Computing and Mathematical Sciences | 15.0 | 23B (Hamilton) & 23B (Tauranga) |
| The paper provides students with an understanding of scientific and culture-specific perspectives on issues in computing and mathematical sciences. Students will learn how these perspectives can be applied in diverse cultural, international, ethical, and professional contexts. | |||
| DATAX201 | Practical Data Science | 15.0 | 23B (Hamilton), 23B (Online) & 23B (Tauranga) |
| This paper gives students practical experience for the entire data science process. It covers the data collection process, data cleaning and manipulation, and data visualisation and presentation. | |||
| DATAX221 | Statistical Data Analysis | 15.0 | 23A (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. | |||
| DATAX222 | Principles of Probability and Statistics | 15.0 | 23B (Hamilton) |
| This paper introduces the theoretical background that underpins modern probability and statistics. Topics include discrete probability and mathematical statistics from a frequentist and Bayesian viewpoint. | |||
| ENGEN201 | Engineering Maths and Modelling 2 | 15.0 | 23A (Hamilton) & 23H (Online) |
| Calculus of Several Variables and its Applications. Vector calculus (Green's, Gauss' and Stokes' theorems). Taylor's Theorem in n dimensions. Introduction to ordinary differential equations and methods to solve them. | |||
| MATHS201 | Continuing Calculus | 15.0 | 23A (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 | 15.0 | 23A (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 | 15.0 | 23B (Hamilton) |
| Systems of ordinary differential equations and their applications, including phase plane methods. Introduction to partial differential equations. Fourier series. | |||
300 Level
| Code | Paper Title | Points | Occurrence / Location |
|---|---|---|---|
| COMPX361 | Logic and Computation | 15.0 | 23B (Hamilton) & 23B (Tauranga) |
| 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... | |||
| COMPX364 | Cryptography and Number Theory | 15.0 | 23B (Hamilton) |
| An introduction to number theoretic ideas with emphasis on their applications in cryptography. | |||
| COMPX367 | Computational Mathematics | 15.0 | 23B (Hamilton) |
| Introduces numerical methods for solving various mathematical problems. | |||
| DATAX321 | Advanced Data Analysis | 15.0 | 23B (Hamilton) |
| This paper covers the use of statistical packages for data analysis and modelling. The emphasis is on observational rather than experimental data. The topics covered are regression modelling and its generalisations, and multivariate analysis. | |||
| DATAX322 | Probability and Stochastic Processes | 15.0 | 23A (Hamilton) |
| This paper introduces students to probability theory and stochastic processes. It covers formally the theoretical foundations of probability, random variables, statistics, stochastic processes and Markov chains. | |||
| DATAX323 | Design and Analysis of Experiments and Surveys | 15.0 | 23A (Hamilton) |
| This paper outlines the principles and practicalities of designing and analysing experiments and surveys, with emphasis on the design. | |||
| ENGEN301 | Engineering Maths and Modelling 3 | 15.0 | 23A (Hamilton) |
| Introduces numerical methods and statistical ideas relevant to Engineering. | |||
| MATHS301 | Real and Complex Analysis | 15.0 | 23A (Hamilton) |
| Further real analysis, including a formal approach to continuity, differentiability and power series. An introduction to the calculus of complex functions and its applications. | |||
| MATHS307 | Rings and Fields | 15.0 | 23A (Hamilton) |
| This paper considers the algebraic structures of rings and fields together with applications of the ideas. | |||
| MATHS341 | Partial Differential Equations | 15.0 | 23B (Hamilton) |
| Develops solution techniques for first and second order partial differential equations, including the method of characteristics and separation of variables. Applications to physical systems are emphasized. | |||
| MATHS390 | Directed Study | 15.0 | 23A (Hamilton) & 23B (Hamilton) |
| Students carry out an independent research project on an approved topic under staff supervision. | |||
| MATHS397 | Work-Integrated Learning Directed Study | 15.0 | 23X (Hamilton) |
| Students carry out an independent work-related project on an approved topic under staff supervision. | |||
500 Level
| Code | Paper Title | Points | Occurrence / Location |
|---|---|---|---|
| COMPX502 | Cryptography | 15.0 | 23B (Hamilton) |
| An introduction to cryptographic methods. | |||
| COMPX546 | Graph Theory | 15.0 | 23B (Hamilton) |
| An introduction to graph theory and combinatorics, including network optimisation algorithms. | |||
| COMPX567 | Advanced Computational Mathematics | 15.0 | 23B (Hamilton) |
| This paper considers computational methods for solving various mathematical problems. | |||
| MATHS507 | Advanced Rings and Fields | 15.0 | 23A (Hamilton) |
| This paper considers the algebraic structures of rings and fields together with applications of the ideas, studied at an advanced level. | |||
| MATHS512 | Continuous Groups | 15.0 | 23A (Hamilton) |
| An introduction to the study of continuous groups, particularly matrix groups. The groups have application to theoretical physics. | |||
| MATHS517 | Stochastic Differential Equations with Applications to Finance | 15.0 | 23A (Hamilton) |
| A study of stochastic differential equations and their applications in the physical sciences and finance. | |||
| MATHS520 | Dissertation | 45.0 | 23X (Hamilton) |
| A directed investigation and report on an approved project or study topic. | |||
| MATHS541 | Classical Partial Differential Equations | 15.0 | 23B (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 | |||
| MATHS565 | General Relativity | 15.0 | 23B (Hamilton) |
| The theory of gravitational fields and cosmology using the methods of general relativity. | |||
| MATHS581 | Special Topic in Mathematics 1 | 15.0 | 23A (Hamilton) & 23B (Hamilton) |
| One or more special topics in mathematics, at an advanced level. | |||
| MATHS582 | Special Topic in Mathematics 2 | 15.0 | 23A (Hamilton) & 23B (Hamilton) |
| One or more special topics in mathematics, at an advanced level. | |||
| MATHS591 | Dissertation | 30.0 | 23X (Hamilton) |
| A report on the findings of a theoretical or empirical investigation. | |||
| MATHS592 | Dissertation | 60.0 | 23X (Hamilton) |
| A report on the findings of a theoretical or empirical investigation. | |||
| MATHS593 | Mathematics Thesis | 90.0 | 23X (Hamilton) |
| An externally examined piece of written work that reports on the findings of supervised research. | |||
| MATHS594 | Mathematics Thesis | 120.0 | 23X (Hamilton) |
| An externally examined piece of written work that reports on the findings of supervised research. | |||
800 Level
| Code | Paper Title | Points | Occurrence / Location |
|---|---|---|---|
| MATHS800 | Mathematics MPhil Thesis | 120.0 | 23X (Hamilton) |
| No description available. | |||
900 Level
| Code | Paper Title | Points | Occurrence / Location |
|---|---|---|---|
| MATHS900 | Mathematics PhD Thesis | 120.0 | 23I (Hamilton), 23J (Hamilton), 23K (Hamilton) & 23X (Hamilton) |
| No description available. | |||
Scholarships and Prizes
Selected scholarships for Mathematics students.
New to Waikato? The International Excellence Scholarship is worth up to $10,000.
A Zulauf Trust Scholarship Not currently accepting applications
This Scholarship is open to domestic and international students who are currently enrolled full-time at the University of Waikato in postgraduate study with a research component in mathematics or statistics. Applicants must have achieved at least a B+ average for their most recent undergraduate degree, and be able to show dedication to mathematics and to furthering the study of mathematics.
Looking for more scholarships?
Contacts
School of Computing and Mathematical Sciences
Phone: 0800 924 528 or +64 7 838 4625
Email: [email protected]
Website: cms.waikato.ac.nz
Facebook: https://www.facebook.com/WUcms