Mark Nelson's Teaching Page

Contents

• Course taught at Wollongong.
• Old courses from ADFA.
• Six credit-point projects (*).
  • Potential projects.
  • Previous projects.
• Twelve credit-point projects (*)
  • Potential projects.
  • Previous projects.
• Eighteen credit-point projects

Courses taught at Wollongong

1. MATH111: Applied Mathematical Modelling I.
2. MATH141: Mathematics 1C Part 1.
3. MATH151: General Mathematics 1A .
4. MATH202: Differential Equations II.
5. MATH971: Non-Linear Differential Equations.

Old courses from ADFA

1. Discrete Population Models for a Single Species.
2. An Introduction to Fractals.
3. Lagrange Multipliers.
4. Newton Basins.

Six credit-point projects

At the University of Wollongong a six credid-point subject is 12.5% of the yearly load.

These projects are for advanced mathematics students, students with summer scholarships and masters-by-coursework students (minor project).

Potential six credit-point projects

This list has been out-of-date for several years. It has been replaced by a list that is circulated by emai.

If you interested in taking a six credit-point project please contact me to discuss possible topics. The projects I have on offer involve the application of mathematics to problems in areas such as analysis (applications to image science), business & politics (including electoral systems), cake-cutting, calculators: how do they calculate? (second-year students only), chemistry (including wine fermentation), climate change, combustion, differential equations, drying of particles, economics, epidemiology & virus dynamics (have you watched the movie Contagion?), food engineering, history of mathematics, industrial mathematics, Laplace transforms: Solving linear PDEs, Linear Algebra, mathematical biology, mathematical ecology, mathematical medicine, mathematical physics, Multiple Scales, Number Theory, physics, population models, the mathematics of search engines, Snakes and Ladders, synchronisation, and the mathematics of tennis and similar games, travelling waves. The mathematics usually involves either applied non-linear differential equations or applied non-linear difference equations.

• List of ideas for potential projects.
• Projects that I am particularly interested in supervising NOW!

Previous six credit-point projects

These projects are for advanced mathematics students, students who have summer scholarships and masters-by-courswork students (minor projects).

Number	Student	Type of project	Year	Project title	Co-supervisor
56	Samuel Noakes	MATH235	Spring 2022	Impact of Media Coverage on Infectious Diseases.
55	Ashley van Beek	MATH235	Autumn 2021	Modelling the Drug Epidemic.
54	Jessica Fish	MATH235	Autumn 2021	Infection, reinfection, and vaccination.
53	Tianze Wei	AMSI Summer Project	Summer 2020-2021	The effect of population heterogeneity on the spread of contagious diseas.
52	Markus Claesson	MATH345	Spring 2020	Modelling COVID-19
51	Dylan Maher	MATH245	Autumn 2020	Modelling a Zombie Outbreak	Chayne Planiden
50	Markus Claesson	EIS Summer Scholarship	Summer 2019	Mathematical Oncology
49	Kieren Brodnik	MATH235: Advanced Mathematics Project	Spring 2019	Modelling Neural Behaviour and other Excitable Systems	Dr Marianito Rodrigo and Dr Alex Harris
48	Matthew Giffard	MATH345: Advanced Mathematics Project	Spring 2019	Cellular Automata Approach to Modelling the Effects of Radiation on Cell Growth Combat Models	Dr Alessandra Malaroda (St Vincent's Hospital)
47	Samuel W. Cuthbertson	MATH345: Advanced Mathematics Project	Spring 2019	The Fog of War: Stochastic Combat Models
46	Bao Anh Vu	MATH235: Advanced Mathematics Project	Autumn 2019	Modelling Social Balance
45	Vivien Yeung	AMSI Summer Scholarship	Summer 2018-2019	Baking case: A mathematical model	Xiaoping Lu
44	Dion Nikolic	Summer Scholarship	Summer 2018-2019	Optimisation of Coffee Bean Times using the Lumped Reaction Engineering Approach (L-REA)	Xiaoping Lu
43	Matthew Giffard	Math 235: Advanced Mathematics Project	Spring 2018	The Spread of the Anti-Vaccination Movement in Australia and its Effects on Herd Immunity
42	Matt Berry	Summer Scholarship	Summer 2017-2018	RNA world: Origins of Life
41	Mark Stein	Math 345: Advanced Mathematics Project	Spring 2017	Examining a Viral Infection Model With Impulse Differential Equations
40	Hugh Cooney	Math 345: Advanced Mathematics Project	Spring 2017	RNA World Model
39	Salman Alsaeed	Master of Mathematics Project	Autumn 2017	Simple epidemic models
38	Wern Shing Ng	AMSI Summer Scholarship	Summer 2016-2017	Harvesting Microalgae: The Green Gold of the Future
37	John Brackenbury	Math 235: Advanced Mathematics Project	Spring 2016	Mathematical models for the epidemiology of tobacco smoking
36	Meghann Spinner	Math 345: Advanced Mathematics Project	Autumn 2016	Viral Blips
35	Justin Stephens	Math 345: Advanced Mathematics Project	Autumn 2016	Activated Sludge Process
34	Bernadette Le Mesurier	M. Math (coursework)	Autumn 2016	Mathematical Modelling of Epidemics with reference to the 2014 Ebola Epidemic in West Africa
33	Vivien Yeung	Summer Project	Summer 2015-2016	Principle of Competitive Exclusion for a Competition Model of Two Species
32	David Hughes	Summer Scholarship	Summer 2015-2016	Probability Model of Cells Forming Colonies	Pam Davy and Sianne Oktaria
31	Marissa Dirks and Anne Fernando	Summer Scholarship	Summer 2015-2016	Modelling the removal of micropollutants from municipal waters
30	Duraid Ali	M. Math (coursework)	Spring 2015	Mathematical Ecology
29	Justin Stephens	Winter Scholarship project	Winter 2014	Cleaning up sludge
28	Ali Alsalameh	M. Math (coursework)	Autumn 2014	Virus dynamics and drug therapy
27	Carl Ormerod	M. Math (coursework)	Autumn 2014	Tasmanian Devil Facial Tumour Disease A Review of Epidemiology Models
26	Siham Omar Ziada	M. Math (coursework)	Autumn 2014	The Continuously-Stirred Tank Reactor
25	Ferayl Salem	M. Math (coursework)	Spring 2012	Some applications in a continuously stirred bioreactor.
24	Raymond Li	Math 345: Advanced Mathematics Project	Spring 2012	Investigation of Finite Difference Methods for Solving Partial Differential Equations
23	Gerardo Sozio	M. Math (reading subject)	Spring 2011	A model for a continuously stirred bioreactor	Annette Worthy
22	Abdullah Altheyab	M. Math (coursework)	Autumn 2011	Solving Parabolic Partial Differential Equations using the Method of Lines	Annette Worthy (primary supervisor, I was secondary)
21	Asma O.M. Alharbi	M. Math (coursework)	Autumn 2011	A fundamental analysis for competitive product inhibition in a continuous flow bioreactor	Annette Worthy
20	Weam Alaqeel	M. Math (coursework)	Autumn 2011	A model for uncompetitive product inhibition in a continuously stirred bioreactor	Maureen Edwards
19	Andrew Morris	Math 235: Advanced Mathematics Project	Autumn 2011	Investigating and Computing Heat Diffusion
18	Fahad Musallam Alharbi	M. Math (coursework)	Autumn 2010	Drying Food	Xiaoping Lu
17	Rodney van Bentum	Austin Keane Vacation Scholarship	Summer 2009-10	Applications of mathematics in medical and veterinary sciences
16	Kate Snow	AMSI Summer Scholarship	Summer 2009-10	Sensitivity to Initial Conditions: Characterising the accuracy of the weather forecast.	George Takacs and David Griffiths
15	Rubayyi Turki ALqahtani	M.Math (coursework)	Spring 2009	Fundamental Analysis of continuous flow bioreactor models
14	Joanna Herrmann	B.Math. Hons (reading subject)	Spring 2009	Numerical Integration Approximation Schemes
13	Ahmed Msmali	M.Math (coursework)	Autumn 2009	A model for incomplete mixing in a bioreactor
12	Yuen Yi (Cathy) Lee	AMSI Vacation Scholarship	Summer 2008-09	Cleaning industrial wastewaters using a sludge disintegration system
11	Cathy (Yuen Yi) Lee	MATH235: Advanced Mathematics Project	Spring 2007	Epidemiology and Virus Dynamics: Alcoholism as an Endemic Disease
10	Rodney van Bentum	MATH2325: Advanced Mathematics Project	Spring 2007	Mathematical modelling of HIV
09	Andrew Holder	MATH235: Advanced Mathematics Project	Spring 2007	A Bioreactor Model
08	Tara Kerr	Research Assistant	Spring 2006	Semi-analytical solutions in bio-process engineering	Tim Marchant
07	Stephen J. Maher	MATH345: Advanced Mathematics Project	Spring 2006	The Interaction of Agents in a Heterogeneous Firm.
06	Timothy Nicholls	MATH345: Advanced Mathematics Project	Spring 2006	Applications of second order differential equations to bioreactors.
05	Tara Kerr	MATH345: Advanced Mathematics Project	Autumn 2006	Mathematical Biotechnology.
04	Adam Hoare	ICE-EM Vacation Scholarship	Summer 2004	Quantification of synchronisation within coupled Lorenz systems.
03	Tony Campbell	MATH235: Advanced Mathematics Project	Spring 2004	Mathematical Epidemiology
02	Timothy Nicholls	MATH235: Advanced Mathematics Project	Spring 2004	Modelling Migration Between Habitats
01	Will Francis	MATH235: Advanced Mathematics Project	Spring 2003	The Activated Sludge Process

Twelve credit-point projects

These projects are for honours students and masters-by-coursework students (major project).

Potential twelve credit-point projects

If you are interested in taking an honours/course-work masters project, please contact me to discuss possible topics. I'm in the process of constructing a page that will contain examples of specific projects for honours students. At the moment there isn't much information on this page! As an indication of the areas in which I am interested in offering a project please read the list of potential projects that I offer to advanced mathematics students. For honours/course-work masters projects I am primarily interested in supervising projects that align with my research interests and may not be willing to supervise some of the projects in this list. However, if you have an idea for a project and you think that I might be the right person to supervise it then please contact me so we can discuss your idea!

Previous twelve credit-point projects

At the University of Wollongong a twelve credit-point is 25% of the yearly load. I have supervised the following honours/course-work masters/PhD-I projects

`

Number	Student	Year	Project Title	Degree	Co-supervisor	Institution
13	Salman Alsaeed	Autumn session 2018	A model for a continuously stirred bioreactor.	M. Math	UoW
12	Rui Liang	2017	Modelling the spread of smoking as an infectious disease.	B.Medical Mathematics (Hons)	Maureen Edwards	UoW
11	Ahmed Mezaal	2015-2016	Wastewater Treatment.	PhD-I	Annette Worthy	UoW
10	Peter Hagedoorn	2015	The impact of media campaigns on the spread of alcoholism.	B.Math (Hons)	Annette Worthy	UoW
09	Gerardo Sozio	2010	Unpacking XPPAUT	M.Math	Annette Worthy	UoW
08	Fehaid Alshammari	2010	Applications of Partial Differential Equations in Biology and Medicine	M.Math	(---)	UoW
07	Joanna Herrmann	2009	Modelling Controlled Drug Delivery	B.Math (Hons)	Annette Worthy	UoW
06	Zubaidah Sadikin	2008	Predator-prey interactions in a bioreactor	M.Math	(---)	UoW
05	Mandi Sutherland	2008	Modelling the propagation of disease in rabbit populations	B.Math (Hons)	Annette Worthy	UoW
04	Kala Perkins	2006-2007	Compartment models for transdermal drug delivery	M.Math	Annette Worthy	UoW
03	Aaron Thornton	2005	Bifurcation analysis of Gray-Scott reaction-diffusion cells	B.Math (Hons)	Tim Marchant	UoW
02	Matthew Falk	2004	The Soccer Pools. Maximising your winnings, or minimising your losses, if you're lucky!	B.Math.Fin (Hons)	David Griffiths	UoW
01	Nikki Waterhouse	2001	Burn Baby Burn: Polymer Combustion.	BSc(Hons)	Harvinder Sidhu	ADFA

Eighteen credit-point projects

Originally the honours project for advanced mathematics students was twelve credit points. Sometime after 2003 but before 2009 the advanced mathematics honours project was to 18 credit points (37.5% of the yearly load). (This might have been 2007 or 2008).