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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.
DescriptionMathematics and statistics encompass 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. Applied mathematics and computational mathematics deal with the application of techniques and models to the solutions of problems from many branches of modern science, engineering, information technology and commerce. Pure mathematics deals with the abstract, the rigour and the beauty of perfection. Although pure mathematics constructions are motivated by reasons other than applications, such constructions often become the basis for applied mathematics to solve the most concrete problems. Statistics is the branch of mathematics that captures the interplay of data and theory. Applied and mathematical statistics combine to extract useful knowledge from data. Mathematical statistics develops the methodology, while applied statistics exploits the theory to learn from reallife information. The use of statistics is constantly expanding, and a sound knowledge of the discipline is important even for those who do not complete a major sequence in the area. There are cross links between statistics and pure and applied mathematics, and this is reflected in the mix of units students can choose from to complete a major or double major sequence. 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:
(e.) students completing the major sequence in mathematical statistics will:
UnitsLevel one
Level two
Level three
Sequence requirementsThe units MTH1035 and MTH2015 are advanced versions of MTH1030 and MTH2010, respectively. For the purpose of sequence requirements listed below, MTH1030 and MTH2010 can be replaced by their corresponding advanced version. Minor sequence in mathematics (24 points)
Minor sequence in applied statistics (24 points)Minor sequence in statistics (24 points)Major sequence in mathematics (48 points)
Double major sequence in mathematics (72 points)
Major sequence in applied mathematics (48 points)
Double major sequence in applied mathematics (72 points)
Major sequence in computational mathematics (48 points)
Major sequence in pure mathematics (48 points)
Double major sequence in pure mathematics (72 points)
Major sequence in mathematical statistics (48 points)
Double major sequence in mathematics and mathematical statistics (72 points)
Requirements for honours in mathematics and statistics
Additional informationThere 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. * See coordinator details in table above. Level oneLevel 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 MTH1000 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. The School of Mathematical Sciences also offers the unit ASP1022, described in the 'astronomy and astrophysics' entry in the Science areas of study 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 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. It is recommended that Bachelor of Science students complete SCI1020 prior to STA1010 if they have not completed VCE Specialist Mathematics units 3 and 4 or achieved at least an average grade of B or above in the written examination components of VCE Mathematical Methods units 3 and 4. The units MTH1035 and MTH2015 are advanced versions of MTH1030 and MTH2010 and are intended to provide challenge to high achieving students. These units replace MTH1030 and MTH2010 in the minors and majors listed above. MTH1000 is also designed for high achieving students. The objective of this unit is to allow high achieving students to complement their core first year mathematics units with studies in some areas of exciting new developments in mathematics Level twoStudents intending to undertake a major sequence in applied mathematics are recommended to complete MTH2032 in their second year of enrolment, along with either MTH2010 (if they have not already taken it) or MTH2021. The unit MTH2222 covers the theoretical material needed to complete a major sequence in mathematical statistics. It is only offered in second semester, so students who wish to complete MTH2222 and who have not completed MTH2010 or MTH2021 by the end of the first semester must take MTH2010 concurrently with MTH2222. STA2032 is an applied statistics unit with STA1010 as a prerequisite however it is recommended that students taking STA2032 should also have completed MTH1030. 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 1120 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 threeThe 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. Students intending to undertake a major sequence in applied mathematics who have not already completed MTH2021 should normally take that unit in their third year of enrolment. 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. HonoursIn addition to the requirements listed above, students must meet the entry requirements for the Science honours program relevant to their course of enrolment. See the entries for:
Full details regarding the course structure for honours in this area of study are outlined in course 0051 Honours degree of Bachelor of Science. Relevant CoursesSingle degrees
Double degrees
Honours degrees
