List of units offered

This page lists all mathematics and statistics units taught by the School of Mathematical Sciences, including those provided as foundational studies, those offered towards minors, majors and extended majors, and those offered primarily for students in courses offered by other faculties.

Note that most mathematics and statistics units have strict prerequisite requirements, as listed via the link to the University Handbook entry provided. Some units may only be available to students in specific courses. Students undertaking minor or majors must read these lists in conjunction with the precise requirements for that minor or major.

Level-one units

Science units offered

For details on how any of these units listed below may be completed as part of a minor, major or extended major in an area of mathematics, see the handbook entry for the relevant major listed at the Current students link on the left-hand menu.

Semester 1

  • MTH1010 Functions and their applications
  • MTH1020 Analysis of change
  • MTH1030 Techniques for modelling
  • MTH1035 Techniques for modelling (advanced)
  • STA1010 Statistical methods for science
  • SCI1020 Introduction to statistical reasoning

Semester 2

  • MTH1020 Analysis of change
  • MTH1030 Techniques for modelling
  • MTH2010 Multivariable calculus
  • MTH2015 Multivariable calculus (advanced)
  • STA1010 Statistical methods for science
  • SCI1020 Introduction to statistical reasoning

For students in the Bachelor of Science (or related course, including double degrees), note that neither MTH1010 nor SCI1020 form part of any level-one Mathematics sequence listed in listed at Part A(a) in the course requirements for that degree. These students also need to take into account the mathematics requirement listed at Part A(b) for the Bachelor of Science course.

Engineering units offered

These units are normally only taken by students in the Bachelor of Engineering (Honours) or related courses:

  • ENG1090 Foundation mathematics (semester 1 only)
  • ENG1005 Engineering mathematics (semesters 1 and 2)

Note that ENG1090 is normally only taken if VCE Specialist Mathematics (or equivalent) has not been completed with a study score of at least 25.

Information Technology units offered

These units are compulsory for some courses, for example the Bachelor of Computer Science, but can often be taken by interested students in other courses:

  • MAT1830 Discrete mathematics for computer science (semester 1 only)
  • MAT1841 Continuous mathematics for computer science (semester 2 only)

Students who plan to complete any additional mathematics units are strongly advised to complete MTH1030 rather than MAT1841.

Level-two units

Science units offered

Note that MTH2010 (or MTH2015) can be considered as either a level-one or level-two unit, depending on whether other level-one mathematics units have been completed. In particular, students who have completed MTH1020 and MTH1030 in their first year of enrolment will normally take MTH2010 in their second year of enrolment.

Semester 1

  • MTH2010 Multivariable calculus
  • MTH2021 Linear algebra with applications
  • MTH2025 Linear algebra (advanced)
  • MTH2121 Algebra and number theory (also offered at level 3)
  • MTH2132 The nature and beauty of mathematics
  • MTH2140 Real analysis (also offered at level 3)
  • MTH2222 Mathematics of uncertainty

Semester 2

  • MTH2010 Multivariable calculus
  • MTH2015 Multivariable calculus (advanced)
  • MTH2051 Introduction to computational mathematics
  • MTH2032 Differential equations with modelling
  • MTH2040 Mathematical modelling
  • MTH2232 Mathematical statistics

Engineering units offered

The following unit is normally only taken by students in the Bachelor of Engineering (Honours) or related courses:

  • ENG2005 Advanced engineering mathematics (semester 1 and 2)

Level-three units

Science units offered

All level-three mathematics units are offered in one semester only and almost all have strict prerequisite requirements. It is therefore very important to plan ahead for the order in which they are taken:

Semester 1

  • MTH3011 Partial differential equations
  • MTH3110 Differential geometry
  • MTH3121 Algebra and number theory (also offered at level 2)
  • MTH3130 Topology: The mathematics of shape
  • MTH3140 Real analysis (also offered at level 2)
  • MTH3241 Random processes in the sciences and engineering
  • MTH3251 Financial mathematics
  • MTH3360 Fluid dynamics

Semester 2

  • MTH3020 Complex analysis and integral transforms
  • MTH3051 Introduction to computational mathematics (also offered at level 2)
  • MTH3060 Advanced ordinary differential equations
  • MTH3150 Algebra and number theory II
  • MTH3160 Functional analysis
  • MTH3170 Network mathematics
  • MTH3230 Time series and random processes in linear systems
  • MTH3260 Statistics of stochastic processes
  • MTH3310 Applied mathematical modelling
  • MTH3320 Computational linear algebra
  • MTH3330 Optimisation and operations research

Engineering units offered

The following unit is normally only taken by students in the Bachelor of Engineering (Honours) or related courses:

  • ECE3093 Optimisation estimation and numerical methods (semester 1 only)

Business and Economics units offered

Students in some courses in the Faculty of Business and Economics can take

  • ETC3510 Modelling in finance and insurance

within their course, or they may also be able to complete a broader range of mathematics units as electives including MTH3251, which is the equivalent unit for science students.

Special units

MTH3000 Mathematics research project level 3 is offered principally for high-achieving students. MTH3000 involves the completion of an individual research project chosen from a range of areas of mathematics and statistics, including fluid dynamics, numerical analysis, chaos, computing algorithm design, industrial mathematics, stochastic processes, number theory and logic, under the personal supervision of a member of academic staff in the School. At least two level-three mathematics units must normally have been completed prior to MTH3000, and enrolments must be individually approved by the unit coordinator Dr Jerome Droniou, usually close to the start of the semester in which it will be taken. MTH3000 is offered in both first and second semester, and is also available in the summer semester in some circumstances.

In special cases, authorised on an individual basis, third-year students who are close to completing their course may also be able to count other assessable material towards a mathematics major as MTH3401/MTH3402 Special topics in mathematics. Normally, these units are limited to very high-achieving students and after all other available level-three mathematics units have already been completed. Students interesting in taking either MTH3401 or MTH3402 should in the first instance contact the unit coordinator Associate Professor Burkard Polster for further information.

Further information

Please email the unit coordinator, the relevant advisor listed under the Planning minors and majors link on the left-hand menu, or contact enquiries@maths.monash.edu.au.