S4010 Graduate Certificate of Mathematics
Faculty of Science
Graduate Certificate of Mathematics (S4010) is a 0.5 years full-time, 24-credit-point, graduate certificate course from the Faculty of Science, taught at Clayton. Map your units semester by semester with the MonMap planner.
- Credit points
- 24
- Duration
- 0.5 years full time
- 1 years part time
- Campus
- Clayton
- On campus
This is the 2026 handbook entry. See the 2027 entry.
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Requisite map
The 2026 handbook lists no units for S4010 itself. Pick an area of study to see its units.
Overview
Mathematics underpins our way of life and our prosperity. Its importance ranges from fundamental developments enabling new technologies, to theories backing up scientific research, to analyses of our physical and societal environments.
The program is designed for graduates with a bachelor degree and a strong foundation in mathematics. You will acquire advanced knowledge and skills in mathematics, and the capacity to use them to tackle complex problems in a variety of situations. The flexible coursework offering ensures that you can compose a program to suit your interests, from pure mathematics that develops the core theory, to statistics and applied and computational mathematics that extend this theory to bring practical solutions to real-world problems. All these fields contribute to a far-reaching and comprehensive master's program. The combination of coursework and project equips graduates of the program with advanced knowledge and skills that make them employable in industry, or prepare them for doctoral studies.
Course structure
Discipline studies24 credit points
Pure mathematics
24 credit points- MTH4020Complex analysis and integral transformsNo reviews yet6 cp
- MTH4060Advanced ordinary differential equationsNo reviews yet6 cp
- MTH4110Differential geometryNo reviews yet6 cp
- MTH4130Topology: The mathematics of shapeNo reviews yet6 cp
- MTH4150Algebra 2: Rings and fieldsNo reviews yet6 cp
- MTH4160Metric spaces, Banach spaces, Hilbert spacesNo reviews yet6 cp
- MTH4170Network mathematicsNo reviews yet6 cp
Applied and computational mathematics
24 credit pointsThe handbook's description of this structure
The course comprises 24 points of Mathematics studies.
Course progression map
The course progression map provides guidance on unit enrolment for each semester of study.
You must complete 24 credit points from the available disciplines of mathematics, including pure mathematics, statistics and applied and computational mathematics:
You will choose from:
Pure mathematics
- MTH4020 Complex analysis and integral transforms
- MTH4060 Advanced ordinary differential equations
- MTH4110 Differential geometry
- MTH4130 Topology: The mathematics of shape
- MTH4150 Algebra 2: Rings and fields
- MTH4160 Metric spaces, Banach spaces, Hilbert spaces
- MTH4170 Network mathematics
Applied and computational mathematics
- MTH4015 Partial differential equations
- MTH4320 Computational linear algebra
- MTH4330 Optimisation and operations research
- MTH4340 Numerical methods for partial differential equations
- MTH4360 Fluid dynamics
Statistics
- MTH4230 Time series and random processes in linear systems
- MTH4241 Random processes in the sciences and engineering
- MTH4251 Financial mathematics Archived
- MTH4260 Statistics of stochastic processes
Learning outcomes
These course outcomes are aligned with the Australian Qualifications Framework and Monash Graduate Attributes.
Upon successful completion of this course it is expected that you will be able to:
- 1
Demonstrate a solid understanding of important topics in modern mathematics, including pure mathematics, applied mathematics and statistics.
- 2
Apply critical thinking and mathematical techniques in quantitative and complex problem-solving contexts.
- 3
Effectively communicate ideas and results in a variety of professional formats.
- 4
Work competently, independently and collaborate effectively in an academic and/or professional context.
Entry requirements
English language
Monash Level A , that is: IELTS (academic): 6.5 overall (no band lower than 6.0); or Pearson Test of English (Academic): score of 58 overall with no band lower than 50; or TOEFL Internet-based score: score of 79 overall with minimum scores: Writing: 21, Listening: 12, Reading: 13 and Speaking: 18; or Equivalent approved English test.
More information
Progression to further studies
Successful completion of the Graduate Certificate of Mathematics with an average of 65% will provide a pathway to the Master of Mathematics
Other information
Mathematics underpins our way of life and our prosperity. Its importance ranges from fundamental developments enabling new technologies, to theories backing up scientific research, to analyses of our physical and societal environments.
The program is designed for graduates with a bachelor degree and a strong foundation in mathematics. You will acquire advanced knowledge and skills in mathematics, and the capacity to use them to tackle complex problems in a variety of situations. The flexible coursework offering ensures that you can compose a program to suit your interests, from pure mathematics that develops the core theory, to statistics and applied and computational mathematics that extend this theory to bring practical solutions to real-world problems. All these fields contribute to a far-reaching and comprehensive master's program. The combination of coursework and project equips graduates of the program with advanced knowledge and skills that make them employable in industry, or prepare them for doctoral studies.
Contacts
- Academic Coordinator
- Dr Gregory Markowsky
Common questions
How long is Graduate Certificate of Mathematics?
0.5 years full time, 24 credit points. At 24 credit points a semester, that is 1 semesters of full-time study.
Where can I study Graduate Certificate of Mathematics?
At Clayton.
How do I plan my Graduate Certificate of Mathematics units?
Open the course in the MonMap planner. It lays out your semesters, checks prerequisites as you drag units in, and tracks the credit points each requirement still needs.