MATHS09 Mathematics
Faculty of Science
Mathematics (MATHS09) is a major worth 48 credit points, listing 45 units, taught at Clayton. It is offered in 3 courses, including Bachelor of Science and Bachelor of Science Advanced - Global Challenges (Honours).
- Credit points
- 48
- Units
- 45
- Campus
- Clayton
- Offered in
- 3 courses
This is the 2023 handbook entry. See the 2026 entry.
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Requisite map
Overview
Mathematics is the universal language used to describe, model, understand and even create aspects of the world around us. Mathematics and statistics encompass the formal study of numerical, algebraic and analytical structures, the development of quantitative methods essential for the practice and development of science, engineering, economics and other fields, and the development and utilisation of mathematical and numerical models in various contexts.
The School of Mathematics offers a comprehensive program of mathematics units at all undergraduate levels. It encompasses a wide range of areas of modern mathematics, from mathematical methods to statistics to pure mathematics, and also demonstrates applications of mathematics across a variety of fields. In addition to the broad minor, major and extended major in mathematics, specialised majors and extended majors are offered in each of applied mathematics, mathematical statistics, pure mathematics, and financial and insurance mathematics. There are cross links between statistics and pure and applied mathematics, and this is reflected in the mix of units that you can select to complete a major or extended major. Our curriculum is continuously updated to ensure that you are exposed to the latest developments in mathematics. Some of the exciting areas that mathematicians at Monash are working on include mathematical modelling to predict behaviour, analysis using pure mathematics, and stochastic processes involving risk, randomness and change.
By studying mathematics at university, you will also develop general skills in problem-solving, critical thinking, modelling, scholarship, analysis and research, which can be used wherever their career may take them. Analytical and quantitative skills in general are sought by a wide range of employers, and a sound knowledge of mathematics and statistics is important in most other areas of science, economics, medicine and engineering. Mathematics and statistics are the two cornerstones for decision making and various quantitative activities in commerce, industry, education and defence. Successful companies and organisations know their competitive edge depends on the analytical, quantitative and statistical skills of their workforce, and therefore seek employees with a sound mathematical training.
Availability
Mathematics is listed in S2000 Bachelor of Science, S3001 Bachelor of Science Advanced - Global Challenges (Honours) and S3002 Bachelor of Science Advanced - Research (Honours) at Clayton as a major, extended major and minor.
Structure
Mathematics requirement
MTH1030: You must have passed MTH1020 with a mark of at least 60 or VCE Specialist Mathematics units 3 and 4 with a raw study score of at least 30. Exceptions for students who passed MTH1020 with a mark in the range of 50 to 59 can be made with permission from the unit coordinator based on a diagnostic test.
MTH2010: Students must have passed MTH1030, MTH1035, or MTH1040 with a mark of at least 60. Exceptions for students who passed these units with a mark in the range of 50 to 59 can be made with permission from the unit co-coordinator based on a diagnostic test.
Level 1 science sequence12 credit points
Option 1
12 credit pointsOption 2
12 credit pointsOption 3
12 credit pointsOption 4
12 credit pointsNote: If you are in S2004 Bachelor of Science and Bachelor of Computer Science, MTH1030 and MAT1830 count as part of the minor but do not count towards the 96 credit points of science units required for the Bachelor of Science.
Double degree with engineering options
12 credit pointsOption 1
12 credit pointsNote: If you are in E3007 Bachelor of Engineering (Honours) and Bachelor of Science, ENG1090 and ENG1005 can count as part of the minor but do not count towards the 96 credit points of science units required for the Bachelor of Science.
Option 2
12 credit pointsOption 3
12 credit pointsOption 4
12 credit pointsNote: If you are in E3007 Bachelor of Engineering (Honours) and Bachelor of Science specialising in software engineering, ENG1005 and MAT1830 count as part of the minor but do not count towards the 96 credit points of science units required for the Bachelor of Science.
Calculus unit6 credit points
Note: If MTH2010 or MTH2015 was completed as part of the level 1 science sequence, replace it with a level 2 unit from the elective units listed below.
- MTH2010Multivariable calculusNo reviews yet6 cp
- MTH2015Multivariable calculus (advanced)No reviews yet6 cp
Double degree with engineering option (except software engineering)
6 credit pointsAlgebra unit6 credit points
Mathematics elective units24 credit points
Note: You can only complete one of MTH2140 and MTH3140, MTH2141 and MTH3141, MTH2222 and MTH2225, MTH3170 and MTH3175.
- FIT2014Theory of computationRated 4.0 out of 5 from 1 review6 cp
- MTH2032Differential equations with modellingNo reviews yet6 cp
- MTH2040Mathematical modellingNo reviews yet6 cp
- MTH2051Introduction to computational mathematicsNo reviews yet6 cp
- MTH2132The nature and beauty of mathematicsNo reviews yet6 cp
- MTH2140Real analysisNo reviews yet6 cp
- MTH3140Real analysisNo reviews yet6 cp
- MTH2141Algebra 1: Group theoryNo reviews yet6 cp
- MTH3141Algebra 1: Group theoryNo reviews yet6 cp
- MTH2222Mathematics of uncertaintyNo reviews yet6 cp
- MTH2225Mathematics of uncertainty (Advanced)No reviews yet6 cp
- MTH2232Mathematical statisticsNo reviews yet6 cp
- MTH3000Mathematics research project level 3No reviews yet6 cp
- MTH3011Partial differential equationsNo reviews yet6 cp
- MTH3020Complex analysis and integral transformsNo reviews yet6 cp
- MTH3051Introduction to computational mathematicsNo reviews yet6 cp
- MTH3060Advanced ordinary differential equationsNo reviews yet6 cp
- MTH3110Differential geometryNo reviews yet6 cp
- MTH3130Topology: The mathematics of shapeNo reviews yet6 cp
- MTH3150Algebra 2: Rings and fieldsNo reviews yet6 cp
- MTH3160Metric spaces, Banach spaces, Hilbert spacesNo reviews yet6 cp
- MTH3170Network mathematicsNo reviews yet6 cp
- MTH3175Network mathematics (Advanced)No reviews yet6 cp
- MTH3230Time series and random processes in linear systemsNo reviews yet6 cp
- MTH3241Random processes in the sciences and engineeringNo reviews yet6 cp
- MTH3251Financial mathematicsNo reviews yet6 cp
- MTH3260Statistics of stochastic processesNo reviews yet6 cp
- MTH3310Applied mathematical modellingNo reviews yet6 cp
- MTH3320Computational linear algebraNo reviews yet6 cp
- MTH3330Optimisation and operations researchNo reviews yet6 cp
- MTH3340Numerical methods for partial differential equationsNo reviews yet6 cp
- MTH3360Fluid dynamicsNo reviews yet6 cp
- MTH2137Number theory and cryptographyNo reviews yet6 cp
- MTH3137Number theory and cryptography (Advanced)No reviews yet6 cp
Courses that offer it
Notes
Requirements for progressing to honours and other further studies
Progression to honours requires completion of 24 credit points of relevant level 3 units.
You must meet the entry requirements for S3701 Bachelor of Science (Honours) or meet the progression requirements to the fourth year of S3002 Bachelor of Science Advanced - Research (Honours).
You must also complete prerequisite study as per the intended discipline. Refer to the honours prerequisites table.
Learning outcomes
- 1
Display basic knowledge and key technical skills in advanced calculus and linear algebra as well as high-level knowledge of and skills in the important techniques, terminology and processes of mathematics
- 2
Develop, apply, integrate and generate knowledge through abstraction and insight, and use high-level critical thinking skills to analyse, use and interpret the mathematics that arises across a range of areas, applications and problems
- 3
Demonstrate skills in the written presentation of a mathematical argument that enable mathematical concepts, processes and results to be communicated effectively to diverse audiences
Contacts
- Academic Coordinators
- Dr Yann Bernard
- Dr Simon Clarke
Common questions
Which courses offer Mathematics?
3 courses in 2023: Bachelor of Science, Bachelor of Science Advanced - Global Challenges (Honours) and Bachelor of Science Advanced - Research (Honours).