Mathematics and statistics


Discipline objectives

The Department of Mathematics and Statistics offers mathematical and statistical instruction for students with a wide range of levels of preparation and diverse needs, including:

Mathematical techniques and models form a significant component of nearly all branches of modern science. Mathematics is also a vital and growing discipline in its own right, and encompasses 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 study of mathematics can lead to careers in applied or theoretical mathematics, or mathematical statistics, and it is an important part of the preparation for a wide range of careers for which mathematical, statistical and computational skills are needed. These can include actuarial work, areas of biomedical research, astrophysics, banking and finance, economics, engineering, environmental science, mathematics teaching, materials science, market research, operations research, production planning, statistical analysis and weather forecasting.

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 by other departments). 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 for the faculties of Engineering and Information Technology are listed in the handbooks for those faculties.
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, and examinations at the end of the semester. In higher years, assessment is also carried out by project work and 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 available in first and second semester and sometimes in summer 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.

Subject information

Members of department

Further information concerning mathematics subjects and sequences can be obtained from departmental staff as follows:

Head

Associate Professor Michael Page

Director of first-year studies

Dr Pam Norton

Director of undergraduate studies

Associate Professor Michael Page

Second-year coordinator

Dr Michael Reeder (first semester), Dr Alan Pryde (second semester)

Third-year coordinator

Dr Paul Cally

Fourth-year coordinator

Associate Professor John Stillwell

Director of postgraduate studies

Professor Roger Grimshaw

Noticeboards

Important notices will be posted on the department notice boards. Students are expected to consult them regularly. Their locations in the mathematics building (building 28) at the Clayton campus are as follows: first year - first floor lift lobby; second year - ground floor lift lobby; third year - ground floor lift lobby; fourth year - first floor east wing; astrophysics - third floor lift lobby.

First year

Coordinator: Dr Pam Norton
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, especially 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 1999, details of which are provided in the individual subject entries. 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 level of 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 MTH1110 (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 only normally available to students in the BSc(SciSchProg) course.
Major and minor sequences in mathematics must include at least twelve 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 1998.
Students are advised to determine the first-year prerequisites for second and higher-year subjects in their area of interest before finalising their enrolment. As a general rule, it is often advisable to choose a set of first-year subjects which 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 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 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 in 1999 only for first-year students who have completed MTH1030 in their first semester but it will be available for all second-year students from 2000.)
For other students, the recommended mathematics sequence is MTH1010 and MTH1020.
Students not intending to take 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.
All first-year students should obtain a copy of the booklet General information for first-year students, which will be available from the department during orientation week.
With the approval of the director of first-year studies, students can replace some of the subjects recommended above by equivalent subjects offered at the Gippsland campus and through distance education mode as part of the mathematics program taught by the School of Applied Sciences.

Subjects offered

Second year

Coordinator: Dr Michael Reeder (first semester), Dr Alan Pryde (second semester)
The Department of Mathematics and Statistics offers second-year subjects in mathematical methods, including calculus and linear algebra, as well as in a broad range of specialist areas including analysis, computational mathematics, differential equations, discrete mathematics, statistics and probability, astronomy and astrophysics, and atmospheric science and fluid dynamics.
There are many possible combinations of subjects. Students should consult with a mathematics adviser at re-enrolment on their choice of subjects 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 1998.
Details of the prerequisites for second-year mathematics subjects are provided in the individual subject entries. Students intending to undertake either a major or a minor sequence in mathematics should consult the prerequisites for higher-year subjects before finalising their enrolment.
For first-year students in 1999 who intend to enrol in second-year mathematics from 2000, MTH1020 will replace MAT1010 and MAT1050, and MTH1030 will replace MAT1020 and MAT1080. For 1999, the first-year Faculty of Engineering subjects ENG1901, ENG1902 and ENG1603 are acceptable alternatives to MAT1010 and MAT1020, and the first-year Faculty of Information Technology subjects MAT1811 and MAT1812 are acceptable alternatives to MAT1050 and MAT1080.
The subject MAT2000 is only normally available to students in the BSc(SciSchProg) course.
Most second-year mathematics subjects in 1999 are each worth four points. The new six-point subject MTH2010 will only be available to eligible first-year students during 1999. Major and minor sequences in mathematics must include at least sixteen points of mathematics subjects at second-year level. See the subject entries for details.
The School of Applied Sciences also offers some of the second-year subjects listed below at the Gippsland campus and through distance education mode (either every year or in some cases in alternate years). These are: MAT2020 (Coordinator: Dr David Wilson), MAT2030 (Coordinator: Dr Jill Wright), MAT2061 (Coordinator: Associate Professor Philip Rayment) and MAT2222 (Coordinator: Associate Professor Philip Rayment).
With the approval of the second-year coordinator, students can also replace other subjects listed below by equivalent subjects offered at the Gippsland campus as part of their mathematics program.
Details concerning prerequisites for third-year mathematics subjects are given in the third-year subject entries, and it is important that these be consulted by second-year students intending to proceed to third-year studies in mathematics.

Subjects offered

Third year

Coordinator: Dr Paul Cally
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.
Students should consult with a mathematics adviser at re-enrolment on their choice of subjects to ensure that 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 1998. Details of the prerequisites for third-year mathematics subjects are provided in the individual subject entries.
The subject MAT3000 is only normally 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 twenty-four points of mathematics subjects at level three of the BSc schedule, but up to two of these can be selected from the group of 'core' second-year subjects MAT2020, MAT2030, MAT2040, MAT2051 and MAT2061.
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) disciplines. Subjects which 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 and through distance education mode as part of the mathematics program taught by the School of Applied Sciences.
The department offers an honours program at fourth-year level available to students with sufficiently high marks in at least twenty-four points of third-year mathematics subjects. Students intending to study honours should discuss their choice of third-year subjects with the coordinator.

Subjects offered

Fourth year

Coordinator: Associate Professor John Stillwell
The Department of Mathematics and Statistics offers a 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 coordinator.
The prerequisite for honours studies in mathematics is an average of at least credit grade in twenty-four points of third-year mathematics subjects, or equivalent.
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