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All areas of study information should be read in conjunction with the relevant course entry in the Handbook. The units listed for this area of study relate only to the 'Requirements' outlined in the Faculty of Science component of any bachelors double degrees.
DescriptionMathematical 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. Units are offered in specialist areas of mathematics and statistics, as well as in mathematical methods (designed in part to support units offered for other disciplines). Areas for which specialist units are offered include algebra, analysis and geometry, applied and computational mathematics, statistics and probability, astronomy and astrophysics, atmospheric science and fluid dynamics. Information sheets with suggested programs for these areas are available from the School of Mathematical Sciences prior to reenrolment. All units offered for the first three levels of course 0050 Bachelor of Science and associated degrees have MTH codes for mathematics units and STA codes for some statistics units. For details of the statistics units that are available at the Clayton campus, see the statistics entry in this Handbook. Some level two andlevel three astronomy and astrophysics (ASP) and atmospheric science (ATM) units can also contribute towards minor and major sequences in mathematics; consult the relevant year coordinator for details. Mathematics units designed specifically to meet the requirements of the faculties of Engineering and Information Technology are listed under the relevant regulations for those courses, often with MAT codes; normally these units cannot be taken as part of a mathematics sequence for the students in the Bachelor of Science and related courses. For level one, two and three mathematics units offered at the Clayton campus, the fourth digit (0, 1 or 2) in the unit code indicates the semester in which it is given, where 0 indicates that streams of the unit are normally available in either or both of first and second semester. For some mathematics units not offered at the Clayton campus, the fourth digit in the unit code may be 5, 6, 7 or 9. With the approval of the relevant year coordinator, students can replace some units in a recommended program by equivalent units offered at the Gippsland campus (see Science areas of study and sequences  Gippsland in this section of the Handbook) or by offcampus learning. ObjectivesOn completion of any of the major sequences in mathematics students will:
In addition: (a.) students completing the major sequence in mathematics will:
(b.) students completing the major sequence in computational mathematics will:
(c.) students completing the major sequence in pure mathematics will:
(d.) students completing the major sequence in applied mathematics will:
UnitsLevel one
Level two
Level three
Sequence requirementsMinor sequence in mathematics (24 points)
Major sequence in mathematics (48 points)
Details of the ASP, ATM and STA units, and some related sequences, are described in the astronomy and astrophysics, atmospheric science and statistics entries in this section of the Handbook. Major sequence in computational mathematics (48 points)
Major sequence in pure mathematics (48 points)
Major sequence in applied mathematics (48 points)
RecommendationsThere are many possible combinations of mathematics units and strong prerequisite requirements on mathematics sequences. Students considering completing a sequence in mathematics or statistics are advised to determine the prerequisites for any higherlevel units in their area of interest before finalising their choice of units and may seek the assistance of the relevant year coordinator. Information sheets with suggested programs are available from the School of Mathematical Sciences. As a general rule, it is advisable to choose a set of units at any level that leave several options open at higher levels. Level oneCoordinator: Dr Chris Hough, Deputy: Mr Simon Teague, (School of Mathematical Sciences) Level one mathematics units 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 levelone mathematics units in their course, particularly those who have not completed VCE Mathematical Methods units 3 and 4. The units MTH1010, MTH1020 and MTH1030 are provided in support of other science disciplines, as well as preparation for further studies in mathematics. They should be taken sequentially commencing from a point that depends on a student's previous studies in mathematics, for example by their level of preparation from VCE level. MTH2010 is available to students at both first and second level who have completed MTH1030, including firstyear students who have taken MTH1030 in their first semester. Further details of recommended mathematics sequences are provided below. The units STA1010, MTH1112 and MTH1122 in combination with MTH1030 can form part of a mathematics sequence at level one, but any student who is considering completing a minor or major sequence in mathematics may limit their options at higher years if MTH1030 is not taken in their first year. STA1010 is designed specifically as a service unit in data analysis and statistics for students intending to major in other disciplines, particularly in psychology and the life sciences, as well as forming part of the normal statistics sequence. MTH1112 is a specialist mathematics unit but it also has a service role, being recommended for students of computer science. MTH1122 is designed for arts and education students. It would also be useful for science students provided there is room in their program and it does not constrain their progression to higherlevel studies. The School of Mathematical Sciences also offers the unit ASP1022, described in the astronomy and astrophysics entry in this section of the Handbook, and contributes to ATM1020 and ATM1030, described in the atmospheric science entry. Recommended levelone mathematics sequencesFor students who have completed VCE Mathematical Methods units 3 and 4 with an average grade of C or above in the written examination components, the recommended mathematics level one 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 the written examination components, the recommended level one mathematics sequence is MTH1030 and MTH2010. These students may also choose to take MTH1112, MTH1122 or STA1010 instead of MTH2010 in their first year. For other students, the recommended levelone mathematics sequence is MTH1010 and MTH1020. Students not intending to take any leveltwo mathematics units may choose any one of the above recommended sequences or replace the second unit in any of the sequences by STA1010 or MTH1122. It is recommended that Bachelor of Science students complete SCI1020 prior to STA1010 if they have not completed VCE Specialist Mathematics or achieved at least an average grade of B or above in the written examination components of VCE Mathematical Methods units 3 and 4. Level twoCoordinator: Dr Leo Brewin, Deputy: Dr Eric Chu, (School of Mathematical Sciences) The School of Mathematical Sciences offers leveltwo units in mathematical methods as well as in a range of specialist areas. The astrophysics and atmospheric science units given by the school, ASP2062, ATM2020 and ATM2030, can also be taken as part of any mathematics sequence at level two. The unit MTH2000 (Mathematics research project level 2) is normally only available to students in course 3520 Bachelor of Science Advanced with Honours (BScAdv(Hons)) or 2188 Bachelor of Science (Science Scholar Program) (BSc(ScSchProg)), or by permission of the head of school. The School of Applied Sciences and Engineering also offers some leveltwo mathematics and statistics units at the Gippsland campus and through offcampus learning. Level threeCoordinator: Associate Professor Michael Page, Deputy: Dr Aidan Sudbury, (School of Mathematical Sciences) The School of Mathematical Sciences offers a broad range of mathematics units at level three. Many of these units are intended for nonspecialist thirdlevel studies in mathematics. Specialist unit areas include algebra, analysis and geometry, applied and computational mathematics, mathematical statistics and probability, astrophysics, atmospheric science and fluid dynamics. The astrophysics and atmospheric science units given by the school, ASP3012, ASP3051, ATM3040 and ATM3050 can also be taken as part of any mathematics sequence at level three. The unit MTH3000 (Mathematics research project level 3) is normally only available to students in the BScAdv(Hons) or BSc(ScSchProg), or by permission of the head of school. The School of Applied Sciences and Engineering also offers some levelthree mathematics and statistics units at the Gippsland campus and through offcampus learning. HonoursCoordinator: Dr Maria Athanassenas, Deputy: Dr Andrew Prentice, (School of Mathematical Sciences) Students with an appropriate level of performance in levelthree units within any of the mathematical science sequences may be eligible to undertake a year of research training under the direct supervision of the leader of one of the research groups in the school. Full details regarding entrance requirements and course structure for honours is described in the course entry in this Handbook for the course 0051 Honours degree of Bachelor of Science.
