## 300-level

MATH302
Partial Differential Equations
Description
An introduction to the methods of solution for partial differential equations and to their applications.
Occurrences
Semester One 2023
Points
15 points
Prerequisites
Restrictions
MATH361, EMTH391, EMTH413

MATH303
Applied Matrix Algebra
Description
A continuation of 200-level linear algebra with computational and theoretical aspects and applications.
Occurrences
Semester Two 2023
Points
15 points
Prerequisites
One of MATH203, EMTH211, or DATA203
Restrictions
MATH352, EMTH412

MATH320
Discrete Mathematics
Description
Discrete mathematics underpins many areas of modern-day science. In MATH320, we explore selected topics in discrete mathematics in greater depth and detail. In particular, we investigate some technical methods that allow for elegant solutions to more advanced enumeration questions, and explore the structural properties of directed graphs and partially-ordered sets (posets). Topics covered: Term 1: Combinatorial enumeration: Binomial identities and direct enumeration. Principle of Inclusion and Exclusion; Generating functions (ordinary and exponential). Lagrange inversion and applications. Term 2: Directed graphs and posets: Basic Ramsey theory, theory of directed graphs (structural results, algorithms, algebraic methods, phase transitions) and partially-ordered sets (Möbius inversion, Dilworth Theorem).
Occurrences
Semester One 2023
Points
15 points
Prerequisites

MATH321
Rings and Fields
Description
An introduction to fields and rings, including applications to coding theory and the impossibility of constructions such as ‘squaring the circle’.
Occurrences
Semester One 2023
Points
15 points
Prerequisites
One of MATH203, MATH220, MATH240, or EMTH211, and a further 15 points from MATH201-294.
Restrictions
MATH439, MATH311

MATH324
Cryptography and Coding Theory
Description
This course deals with the mathematical ideas underlying modern cryptography, including algebra, number theory and probability theory.
Occurrences
Semester Two 2023
Points
15 points
Prerequisites
ONE of MATH203, DATA203 or EMTH211, and ONE of MATH120, MATH220, MATH240
Restrictions

MATH343
Metric, Normed and Hilbert Spaces
Description
An introduction to those parts of modern analysis essential for many aspects of pure and applied mathematics, physics, economics and finance.
Occurrences
Semester One 2023
Points
15 points
Prerequisites

MATH353
Computational Mathematics and Applications
Description
This course looks at a variety of methods for solving important computational problems that arise in science, engineering and commerce. In addition to applications, we will look at the methods' basic theoretical properties (stability, accuracy, computational complexity, convergence). During the course, you will learn about the performance of the methods through examples and counterexamples that highlight their pros and cons.
Occurrences
Semester One 2023
Points
15 points
Prerequisites
1) Either MATH201 or EMTH210; AND 2) One of MATH202, MATH203, MATH240, MATH270, EMTH211 or EMTH271. With the permission of the Head of School a high grade in either MATH201 or EMTH210 will suffice.
Restrictions

MATH363
Dynamical Systems
Description
An introduction to nonlinear systems, the use of linearisation techniques and bifurcation theory.
Occurrences
Semester Two 2023
Points
15 points
Prerequisites
MATH201 or EMTH210 and a further 15 points from (EMTH211, EMTH271, MATH202, MATH203, MATH240, MATH270).
Restrictions

MATH365
Applications of Complex Variables
Description
Applications of complex variable theory in the physical and engineering sciences. Contour integration. Conformal mappings.
Occurrences
Semester Two 2023
Points
15 points
Prerequisites
MATH201 or MATH240; or, a high level of achievement in EMTH210 with Head of School approval
Restrictions
MATH342

MATH380
Mathematics in Perspective
Description
Topics in the history, philosophy, directions and culture of mathematics including significant results from the past and an outline of some major areas of progress in the 20th century.
Occurrences
Semester Two 2023
Points
15 points
Prerequisites
30 points in Mathematics or Statistics or Engineering Mathematics at 100 level. 45 points from the BA or BSc Schedule at 200 level in Mathematics, Statistics, Engineering Mathematics, related subjects, or other subjects with good grades, as approved by the Head of School.
Restrictions
MATH301, MATH433, HAPS405

MATH391
Special Topic
Description
This special topic will allow flexibility to offer new or one-off courses of strategic importance to the Department. Its potential uses include: new staff developing a course in their areas of research specialisation; visiting Erskine fellows offering courses covering exciting new developments.
Occurrences
Semester One 2023
Points
15 points
Prerequisites
Subject to the approval of the Head of School.

MATH392
Special Topic
Description
This special topic will allow flexibility to offer new or one-off courses of strategic importance to the Department. Its potential uses include: new staff developing a course in their areas of research specialisation; visiting Erskine fellows offering courses covering exciting new developments.
Occurrences
Semester Two 2023
Points
15 points
Prerequisites
Subject to the approval of the Head of School.

MATH393
Independent Course of Study
Occurrences
Semester One 2023
Points
15 points
Prerequisites
Subject to approval of the Head of School.

MATH394
Independent Course of Study
Occurrences
Semester Two 2023
Points
15 points
Prerequisites
Subject to the approval of the Head of School.

MATH395
Mathematics Project
Description
This 150 hour course provides students with an opportunity to develop mathematical research skills to extend and strengthen their understanding of an area of mathematics. Note: This course cannot be included as part of the 300 level requirement for a Mathematics or Statistics major.
Occurrences
Summer Nov 2023
Points
15 points
Prerequisites
Subject to approval of the Head of School
Restrictions
MATH305

## 300-level

MATH335
Computability Theory
Description
Mathematical models of computation. Computability and non-computability. Abstract complexity theory.
Occurrences
Not offered 2023
For further information see MATH335 course details
Points
15 points

MATH336
Foundations of Mathematics
Description
An introduction to the philosophy of mathematics, classical and intuitionistic logic, set theory, and Gödel's theorems.
Occurrences
Not offered 2023, offered in 2012 , 2013 , 2014 , 2015 , 2016
For further information see MATH336 course details
Points
15 points