Course Title: Advanced Topics in Computational Mathematics

Part A: Course Overview

Course Title: Advanced Topics in Computational Mathematics

Credit Points: 36.00


Course Code




Learning Mode

Teaching Period(s)


City Campus


145H Mathematical & Geospatial Sciences


Sem 1 2009,
Sem 2 2009,
Sem 1 2011,
Sem 1 2015,
Sem 2 2015,
Sem 1 2016,
Sem 2 2016

Course Coordinator: Dr Vural Aksakalli

Course Coordinator Phone: +61 3 9925 2277

Course Coordinator Email:

Course Coordinator Location: 008.09.084

Course Coordinator Availability: By appointment

Pre-requisite Courses and Assumed Knowledge and Capabilities

There are no prerequisites for this course, other than graduate entry to Honours.

Course Description


This course is an extension of undergraduate coursework into areas of advanced computational mathematics that are of contemporary and emerging relevance in science and engineering.

The course comprises three separate components (equivalent to three 12 credit point courses) to be selected, according to availability, from a list of subjects that cover a range of topics that constitute modern applied mathematics. These courses may be a) Honours courses delivered at RMIT University; b) reading courses given by an academic supervisor: c) ACE Honours Courses sponsored by the Australian Mathematical Sciences Institute;  or d) Masters level courses from MC159, MC004 or MC242  given by lecturers from the Mathematics and Statistics discipline at RMIT University.

Where appropriate you will be introduced to the use of advanced mathematical software. One or more components of this course will include research methods that are used in the more specific context of particular fields of applied mathematics.

Please note that if you take this course for a bachelor honours program, your overall mark in this course will be one of the course marks that will be used to calculate the weighted average mark (WAM) that will determine your award level. (This applies to students who commence enrolment in a bachelor honours program from 1 January 2016 onwards. See the WAM information web page for more information.)

Objectives/Learning Outcomes/Capability Development


This course contributes to the following Program Learning Outcomes for BH010Bachelor of Science (Mathematics) (Honours):


Problem Solving:

  • Ability to apply knowledge and skill to characterise, analyse and solve a wide range of problems.

Teamwork and Project Management

  • Ability to contribute to professional work settings through effective participation in teams and organisation of project tasks.


  • Ability to communicate both technical and non-technical material in a range of forms (written, electronic, graphic, oral) and to tailor the style and means of communication to different audiences.

Information Literacy

  • Ability to locate and use data and information and evaluate its quality with respect to its authority and relevance.


On completion of this course you should be able to:

  1. Analyse and solve problems relating to a wide range of applications.
  2. Demonstrate high level knowledge, skills and their application  in the selected fields in the course description.
  3. Apply research methods that are particularly relevant in Computational Mathematics.

Overview of Learning Activities

You will attend lectures where you will be exposed to the theory and methods of analyses, and where appropriate, tutorial and/or laboratory classes.

Overview of Learning Resources


Texts and references for the lecture series will be available through the RMIT Bookshop and Library. These may be supplemented by notes supplied by the lecturers. You may need to search Library and online resources for background material and references relevant to your studies.


Library Subject Guide for Mathematics & Statistics:

Overview of Assessment


Assessment tasks


MATH 2181 (36cp) comprises three components (12cp each) as selected by individual students for their preferred Honours study program. MATH 2181 assessment regimes will vary for individual students depending on the component they select. All selected components (including reading courses, Summer School attendance and cross-institutional study) will be assessed through a variety of methods which might include assignments, reports, project work and/or examination. The nature and weightings of these tasks and their alignment with specified learning outcomes are pre-determined. Assessment details will usually be available in the first contact session for each component. 

A final grade for the course MATH 2181 within your Honours’ program will be calculated by the mean score of your results for these three components.