Mathematics and statistics


The discipline

Subjects are offered in specialist areas of mathematics and mathematical statistics, as well as in mathematical methods (designed in part to support subjects offered for other disciplines). Areas for which specialist subjects are offered include algebra, analysis and geometry, applied and computational mathematics, statistics and probability, astronomy and astrophysics, atmospheric science, fluid dynamics and mathematical geophysics. Mathematics subjects designed specifically to meet the requirements of the faculties of Engineering and Information Technology are also offered.
All mathematics and statistics subjects are presented through a lecture program together with supporting tutorials and/or computer laboratories and practical work. Assessment is carried out by means of assignments and/or projects, tests, and tutorial and/or laboratory work during the semester, with examinations at the end of the semester. In higher years, assessment is also based upon project work and a thesis. It is the responsibility of each student to ascertain the assessment requirements for any subject in which he or she is enrolled.
For first, second and third-year mathematics subjects offered at the Clayton campus, the fourth digit (0, 1 or 2) in the subject code indicates the semester in which it is given, where 0 indicates that streams of the subject are normally available in both first and second semester. For some mathematics subjects not offered at the Clayton campus, the fourth digit in the subject code may be 5, 6, 7 or 9.

Subjects and sequences

Further information concerning mathematics subjects and sequences can be obtained from departmental staff as follows. In the first instance, it is advisable to approach the appropriate year coordinator for information:

Discipline structure

First year

First-year mathematics subjects are provided for students from a wide variety of backgrounds, from those who have not studied mathematics at VCE level to those who have completed VCE Specialist Mathematics units 3 and 4. It is recommended that all science students should include some mathematics in the first year of their course, particularly those who have not completed VCE Mathematical Methods units 3 and 4.
Six first-year BSc mathematics subjects are available at the Clayton campus in 2000, as listed below. Details of the subjects are provided in the individual subject entries listed in this handbook.
Four of the subjects are provided in support of other science disciplines, as well as preparation for further studies in mathematics and statistics. The subjects MTH1010 (Functions and their applications), MTH1020 (Analysis of change) and MTH1030 (Techniques for modelling) are sequential and students will commence their studies in these at a point which depends on their background, determined, for example, by their preparation from VCE level. The subject MTH1210 (Statistical methods for science) is designed specifically as a service subject in data analysis and statistics for students intending to major in other disciplines.
The subject MTH1112 (Numbers, logic and graphs) is a specialist mathematics subject but it also has a service role, being recommended for students of computer science.
The department also offers the subject ASP1022 (Life and the universe), described in the 'Astronomy and astrophysics' entry in this handbook, and contributes to the subject ATM1010 (The dynamic atmosphere), described in the 'Atmospheric science' entry.
The subject MTH1000 is normally only available to students in the BSc(SciSchProg) course.

Recommended first-year mathematics sequences

Major and minor sequences in mathematics must include at least 12 points of mathematics subjects at first-year level. There are several possible routes to undertaking studies towards either a minor or a major sequence, depending on the areas of a student's interests. The department currently offers programs at higher years in a range of areas of mathematics, including algebra, analysis and geometry; applied and computational mathematics, statistics and probability, astrophysics, atmospheric science, fluid dynamics and mathematical geophysics. Information sheets with suggested programs for each of these areas will be available from the department from late 1999.
Students are advised to determine the first-year prerequisites for second and higher-year subjects in their area of interest before finalising their choice of subjects. As a general rule, it is advisable to choose a set of first-year subjects that leave several options open at higher years.
For students who have completed VCE Mathematical Methods units 3 and 4, with an average grade of C or above in CATs 2 and 3, the first-year recommended mathematics sequence is MTH1020 and MTH1030.
For students who have completed VCE Specialist Mathematics units 3 and 4, with an average grade of B or above in CATs 2 and 3, the recommended first-year mathematics sequence is MTH1030 and MTH2010 (Multivariable calculus). These students may also choose to take MTH1110 or MTH1210 instead of MTH2010 in their first year. (The subject MTH2010 is available for first-year students who have completed MTH1030 in their first semester, as well as for all second-year students.)
For other students, the recommended first-year mathematics sequence is MTH1010 and MTH1020.
Students not intending to take any second-year mathematics subjects may either choose one of the above recommended sequences or replace the second subject in any of the sequences by MTH1210.
With the approval of the of first-year coordinator, students can replace some of the subjects recommended above by equivalent subjects offered at the Gippsland campus or through distance education mode.

Second year

The Department of Mathematics and Statistics offers second-year subjects in mathematical methods as well as in a broad range of specialist areas. These include algebra, analysis, atmospheric science, calculus, differential equations, linear algebra and statistics.
There are many possible combinations of subjects. It is recommended that students consult with a mathematics adviser on their choice of subjects at the time of re-enrolment to ensure that they receive an appropriate preparation for higher-level studies in their area of interest. Information sheets with suggested programs for a range of areas will be available from the department from late 1999.
Details of the prerequisites for second-year mathematics subjects are provided in the individual subject entries. Students must have successfully completed these prerequisite subjects before commencing the subject unless a specific exemption has been sought from the second-year coordinator. Students intending to undertake either a major or a minor sequence in mathematics should consult an adviser about the prerequisites for higher-year subjects before finalising their enrolment, as the second-year subjects have been changed from 2000 and the existing third-year subjects will be replaced from 2001.
The subject MTH2000 is normally only available to students in the BSc(SciSchProg) course.
Second-year mathematics subjects in 2000 are worth six points. The requirements for major and minor sequences are described under the relevant course entries in this handbook (eg under Bachelor of Science).
The subject MTH2322 is also available under a different subject code as part of the atmospheric science (ATM) discipline sequence. Subjects that are intended to form part of either a major or minor sequence in mathematics should normally be taken under the mathematics (MTH) subject code.
The School of Applied Sciences also offers some second-year subjects at the Gippsland campus through distance education mode. For 2000, these are: MTH2010 (coordinator: Associate Professor Philip Rayment), MTH2032 (coordinator: Dr Alistair Carr), MTH2111 (coordinator: Dr John Arkinstall) and MTH2246 (coordinator: Associate Professor Philip Rayment). With the approval of the second-year coordinator, students can also replace other second-year subjects listed below by equivalent subjects offered at the Gippsland campus or through distance education mode.

Third year

The Department of Mathematics and Statistics offers a broad range of mathematics subjects at third-year level. Many of these subjects are intended for non-specialist third-year mathematics studies. Specialist subject areas include algebra, analysis and geometry, applied and computational mathematics, statistics and probability, astrophysics, atmospheric science, fluid dynamics and mathematical geophysics.
It is recommended that students consult with a mathematics adviser on their choice of subjects at the time of re-enrolment to ensure they receive an appropriate preparation for higher-level studies in their area of interest. Information sheets with suggested programs will be available from the department from late 1999.
Details of the prerequisites for third-year mathematics subjects are provided in the individual subject entries in this handbook. Students must have successfully completed these prerequisite subjects before commencing the subject unless a specific exemption has been sought from the third-year coordinator.
The subject MAT3000 is normally only available to students in the BSc(SciSchProg) course.
Third-year mathematics subjects are each worth four points. A major sequence in mathematics must include at least 24 points of mathematics subjects at level 3, but up to two of these can be selected from the following group of six-point second-year subjects: MT2021, MTH2032, MTH2111, MTH2222 and MTH2322.
As a guide to students enrolling in the new second-year subjects for 2000, the prerequisites for corresponding new six-point third-year mathematics subjects for 2001 are anticipated to have MAT2020 replaced by MTH2021; MAT2030 replaced by MTH2010; MAT2040 and MAT2072 replaced by MTH2032; MAT2051 and MAT2082 replaced by MTH2111; and MAT2061 and MAT2222 replaced by MTH2222. Students not completing their thrid year during 2000 should note that all current four-point third-year subjects are to be replaced by six-point subjects from 2001.
Some third-year mathematics subjects are also available under different subject codes as part of the astronomy and astrophysics (ASP), atmospheric science (ATM) or geophysics (GPS) discipline sequences. Subjects that are intended to form part of either a major or minor sequence in mathematics should normally be taken under the mathematics (MAT) subject code.
With the approval of the third-year coordinator, students can replace some of the subjects listed below by equivalent subjects offered at the Gippsland campus or through distance education mode.
The department offers an honours program at fourth-year level. Students intending to study honours should discuss their choice of third-year subjects with the coordinator before finalising their enrolment and will need to submit an application for entry into the program late in second semester, before the end of their third-year studies. Entry is only available to students who achieve sufficiently high marks in at least 24 points of third-year mathematics subjects.

Fourth year

The Department of Mathematics and Statistics offers the single subject MAT4000 to mathematics students at the honours level. The program normally consists of seven lecture units in addition to an essay unit and the completion, under supervision, of a major project. A list of the fourth-year lecture units will be available at enrolment. A limited number of third-year subjects, or units from other departments, may be substituted for fourth-year units, as approved by the honours coordinator.
The minimum entry requirement to apply for honours studies in mathematics is normally an average of at least distinction grade in 24 points of third-year mathematics subjects, or equivalent. Applications for entry into the program in the following year must be submitted normally before the end of the third year of studies, but it is advisable to approach the honours coordinator as early in that year as possible for advice. There is a quota for entry into the honours course.
The department also offers the subjects ASP4000 and ATM4000 for honours-level studies in astrophysics and atmospheric science. Further details of these subjects are provided under the fourth-year entries for those disciplines in this handbook.

Subjects offered