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.
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:
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.
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.
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.
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.
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.