100-level

MATH101
Methods of Mathematics
Description
Introduction to calculus, trigonometry and algebra. Emphasis on setting up mathematical models of problems, solving them and interpreting the solutions. Applications to the physical, life and earth sciences as well as to commerce and the humanities.
Occurrences
Semester One 2026
Semester Two 2026
Points
15 points
Restrictions
Students who have been credited with any of EMTH117, EMTH118, EMTH119, MATH102 or MATH103, cannot be subsequently credited with MATH101.
MATH102
Mathematics 1A
Description
An introductory course in calculus and linear algebra that is designed primarily for students who have done well in Level 3 NCEA Mathematics, covering single variable calculus and basic ideas in linear algebra. The mathematics in this course has applications in many areas of science and commerce.
Occurrences
Semester One 2026
Semester Two 2026
Points
15 points
Prerequisites
1. MATH101, or 2. NCEA 14 Credits at level 3 Mathematics, or 3. Cambridge: D at A level or an A at AS level in Mathematics, or 4. IB: 4 at HL or 5 at SL in Mathematics, or 5. Approval of the Head of School based on alternative prior learning.
Restrictions
MATH108, MATH199, EMTH118
MATH103
Mathematics 1B
Description
A consolidation of concepts from MATH102 and introduction to more advanced ideas in calculus and linear algebra. It is a prerequisite for many courses in mathematics and other subjects at 200-level.
Occurrences
Semester Two 2026
Points
15 points
Prerequisites
MATH102 or EMTH118
Restrictions
MATH109, MATH199, EMTH119
MATH110
Foundations of Applied Mathematics
Description
Introduction to trigonometry and algebra. Emphasis on solving problems relevant to design, physical, life and earth sciences as well as to commerce and the humanities. An introduction to the ideas, techniques and applications of data analysis and probability.
Occurrences
Semester One 2026
Points
15 points
Restrictions
EMTH117, EMTH118, MATH101, MATH102, MATH199
MATH120
Discrete Mathematics
Description
Discrete mathematics is that part of mathematics not involving limit processes. It includes logic, the integers, finite structures, sets and networks.
Occurrences
Semester One 2026
Semester Two 2026
UCIC Trimester One 2026
UCIC Trimester Two 2026
UCIC Trimester Three 2026
Points
15 points
Prerequisites
1. MATH101 or MATH102 or EMTH117 or EMTH118, or 2. NCEA 14 Credits (18 strongly recommended) at level 3 Mathematics, or 3. Cambridge: D at A level or an A at AS level in Mathematics, or 4. IB: 4 at HL or 5 at SL in Mathematics, or 5. approval of the Head of School based on alternative prior learning.
Restrictions
MATH115
MATH198
Accelerated Introduction to Mathematical Sciences
Description
MATH198 is a course in calculus and linear algebra. This STAR course is designed for highly able secondary school students who have excelled in level 3 NCEA Mathematics (or equivalent) and wish to take level 100 mathematics while still at school.
Occurrences
Whole Year 2026
Whole Year 2026 (Distance)
Points
Prerequisites
Subject to approval of the Head of School
Restrictions
MATH102, MATH103, EMTH118, EMTH119, MATH199.

200-level

MATH201
Multivariable Calculus
Description
This course deals with techniques in multivariable calculus and vector calculus which have applications in many areas of science, commerce and engineering. It is also preparation for many courses in advanced mathematics.
Occurrences
Semester One 2026
Points
15 points
Prerequisites
MATH103 or MATH199 or EMTH119
Restrictions
MATH261, MATH264, EMTH202, EMTH204, EMTH210
MATH202
Differential Equations
Description
This course deals with analytical, numerical, and geometric techniques for differential equations, including applications.
Occurrences
Semester Two 2026
Points
15 points
Prerequisites
One of MATH103, MATH199 or EMTH119; and one of COSC121, COSC131 or other relevant experience as approved by the HOS
Restrictions
MATH262, MATH264, EMTH202, EMTH204
MATH203
Linear Algebra
Description
Linear algebra is a key part of the mathematician's toolkit and has applications to many areas in science, commerce and engineering. This course develops the fundamental concepts of linear algebra, including vector spaces, linear transformations, eigenvalues, and orthogonality. Emphasis is placed on understanding both abstract mathematical structures and their concrete applications.
Occurrences
Semester One 2026
Points
15 points
Prerequisites
MATH103 or EMTH119 or MATH199
Restrictions
MATH252, MATH254, EMTH203, EMTH204, EMTH211, DATA203
MATH220
Discrete Mathematics and Cryptography
Description
Discrete mathematics underpins many areas of modern-day science. This course is an introduction to graph theory and cryptography, two central topics in discrete mathematics.
Occurrences
Semester Two 2026
Points
15 points
Prerequisites
MATH120 and one of MATH102, MATH103, MATH199, EMTH118, EMTH119
Restrictions
MATH221, MATH231
MATH230
Logic, Automata, and Computability
Description
An introduction to various formal logics, the theory of automata, and the theoretical limitations of the computer.
Occurrences
Semester One 2026
Points
15 points
Prerequisites
15 points from MATH102-109 or MATH111-199, and a further 15 points from 100 level COSC, EMTH, MATH, PHIL or STAT courses, excluding COSC110, MATH101, MATH110, and EMTH117.
Restrictions
MATH208, MATH308, PHIL208 (prior to 2014), PHIL210, PHIL308 (prior to 2014).
MATH240
Introduction to Analysis
Description
This course will develop the students’ skills in mathematically rigorous thinking through the study of analysis, one of the fundamental subjects within mathematics. Throughout the course, students will acquire the necessary tools to formulate and prove results about a range of topics, including the real number system and limits.
Occurrences
Semester Two 2026
Points
15 points
Prerequisites
MATH103, MATH199 or EMTH119.
Restrictions
MATH222, MATH243
MATH270
Mathematical Modelling and Computation 2
Description
Use of the Python language for numerical methods, including solutions of systems of linear equations, solution of ordinary differential equations and systems of differential equations, boundary value problems, approximation techniques, area integration, statistics, random number generation, and Monte Carlo integration. Modelling projects and applications.
Occurrences
Semester Two 2026
Points
15 points
Prerequisites
Both COSC121 and MATH103; or one of EMTH171, MATH170, or MATH171; or approval of the Dean of Engineering and Forestry. COSC121 can be replaced by COSC131, and MATH103 can be replaced by EMTH119 or MATH199.
Restrictions
EMTH271, MATH271

Not Offered Courses in 2026

100-level

MATH130
Introduction to Logic and Computability
Description
An introduction to logic and computability.
Occurrences
Not offered 2026
For further information see MATH130 course details
Points
15 points
MATH170
Mathematical Modelling and Computation
Description
An introduction to mathematical modelling and simulation via case studies using standard computer packages. Structured programming for mathematical problem solving.
Occurrences
Not offered 2026
For further information see MATH170 course details
Points
15 points
MATH199
AIMS - Advancing in Mathematical Sciences
Description
MATH199 is a course in calculus and linear algebra. This STAR course is designed for bright secondary school students who have excelled in level 3 NCEA Mathematics (or equivalent) and wish to take level 100 mathematics while still at school.
Occurrences
Not offered 2026
For further information see MATH199 course details
Points
30 points

200-level

MATH280
Introduction to Scientific Computation
Description
Introduction to the mathematical software package, MATLAB, that integrates technical computation, graphics, visualisation, and programming
Occurrences
Not offered 2026
For further information see MATH280 course details
Points
15 points