Stage 2 courses

This is a mainly practical course in which selected students learn tutoring skills that are put to use in MATHS 102 tutorials. In a small interactive class, students learn to mark, to question strategically and to facilitate learning. The theory and issues of mathematics education as a research field is also introduced.

Prerequisites
30 points from courses in mathematics and departmental consent required.

Restrictions
There are no restrictions for this course.

Availability: S1C
Points: 15
Coordinator: Greg Oates

This sequel to MATHS 108 features applications from the theory of multi-variable calculus, linear algebra and differential equations to real-life problems in statistics, economics, finance, computer science, and operations research. Matlab is used to develop analytical and numerical methods of solving problems.

Prerequisites
A pass in ENGSCI 111, PHYSICS 111, MATHS 108: General Mathematics 1, MATHS 150: Advancing Mathematics 1, or MATHS 153: Accelerated Mathematics is required.

Restrictions
This course cannot be taken concurrently with, or after, MATHS 250: Advancing Mathematics 2, MATHS 253: Advancing Mathematics 3, PHYSICS 211

Availability: SSC, S1C, S2C
Points: 15
Coordinator: Alastair McNaughton

Introduction to logic, principles of counting, mathematical induction, recursion, relations and functions, graphs and trees and algorithms. This course is especially suited for students of computer science and others who are interested in logic and the foundations of mathematics.

Prerequisites
15 points from MATHS 108, 150 or 153 or COMPSCI 101, PHIL 101 is required.

Restrictions
This course cannot be taken after MATHS 255.

Recommended preparation
MATHS 108: General Mathematics 1, MATHS 150: Advancing Mathematics 1 or COMPSCI 101 is also recommended before commencement of this course.

Availability: S1C, S2C
Points: 15
Coordinator: Julia Novak

This preparation for advanced courses in mathematics is intended for all students who plan to progress further in mathematics. The course covers topics from multivariable calculus and linear algebra that have many applications in science, engineering and commerce. The emphasis is on the ideas underpinning the results, as well as on the results themselves.

Prerequisites
15 points from ENGSCI 111, MATHS 150, 153, PHYSICS 111 or an A in MATHS 108, or a B+ in MATHS 208

Restriction
PHYSICS 112

Availability: S1C, S2C
Points: 15
Coordinator: Shayne Waldron

This course is the standard sequel to MATHS 250. It covers topics in linear algebra and multi-variable calculus including linear transformations, quadratic forms, double and triple integrals and constrained optimisation. It is a preparation for a large number of Stage III courses in mathematics and statistics, and for many advanced courses in physics and other applied sciences. All students intending to advance in mathematics should take this course.

Prerequisites
15 points from MATHS 152, 250, PHYSICS 112, 210, or an A pass in MATHS 208 is required.

Restrictions
PHYSICS 211 is restricted.

Availability: S1C, S2C
Points: 15
Coordinator: Shayne Waldron

This course is an introduction to mathematical thinking and communication and how to organise arguments logically and prove results. Rigorous notions are developed using topics that are central to the foundations of algebra and analysis including set theory, logic, abstract vector spaces and elementary number theory. This is an essential course for all students advancing in pure mathematics.

Prerequisites
15 points from MATHS 250, PHYSICS 112, or an A in MATHS 208

Availability: S1C, S2C
Points: 15
Coordinator: David Gauld

The study of differential equations is central to mathematical modelling of systems that change. This course develops methods for understanding the behaviour of solutions to ordinary differential equations. Qualitative and elementary numerical methods for obtaining information about solutions are discussed, as well as some analytical techniques for finding exact solutions in certain cases. Some applications of differential equations to scientific modelling are also discussed. This is a core course for applied mathematics.

Prerequisites
MATHS 208 or ENGSCI 211 or a concurrent enrolment in MATHS 250.

Availability: S1C, S2C
Points: 15
Coordinator: Vivien Kirk

An introduction to the mathematics of the personal finance of saving and investment. Topics include interest, inflation, annuities, bonds, shares, mortgages and pension plans. This course will provide a useful introduction to STATS 370 but is not a prerequisite.

Prerequisites
One of MATHS 150, 153, 208, 250, PHYSICS 111 is required.

Availability: S1C
Points: 15
Coordinator: Allison Heard

Many mathematical models occurring in science and engineering cannot be solved exactly using algebra and calculus. In this course students are introduced to computer based methods that can be used to find approximate solutions to these problems. The methods covered in the course are powerful yet simple to use. This is a core course for students who wish to advance in applied mathematics.

Prerequisites
One of MATHS 108, 150, 153, PHYSICS 111, ENGGEN 150, ENGSCI 111, and one of MATHS 162, COMPSCI 101, 105, INFOSYS 110, 120 is required.

Restrictions
MATHS 267 is restricted.

Availability: S1C, S2C
Points: 15
Coordinator: Shixiao Wang