Undergraduate - Area of study Mathematics and statistics

The 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)

• MTH1020 and MTH1030, or MTH1030 and MTH2010, or MTH1030 and one of MAT1830, MTH1000 or STA1010
• MTH2010 (if not already taken at level one)
• the remaining 6 or 12 points from MTH2021, MTH2032, MTH2121, MTH2140 and MTH2222

Minor sequence in statistics (24 points)

• MTH1030 and MTH2010
• MTH2222 and MTH2232

Major sequence in mathematics (48 points)

• a minor sequence in mathematics
• MTH2021 (if not already completed)
• at least one of MTH3011, MTH3051, MTH3110, MTH3140
• the remaining 12 or 18 points from the MTH units at level two and three listed above
• a total of at least 18 points at level three

Double major sequence in mathematics (72 points)

• a major sequence in mathematics
• the remaining 24 points from the MTH, ATM and ASP units at level two and three listed above
• a total of at least 36 points at level three

Major sequence in applied mathematics (48 points)

• completion of a minor sequence in mathematics that includes MTH2032
• MTH2021 (if not already taken)
• at least three units from MTH3011, MTH3020, MTH3051, MTH3060, MTH3310, MTH3360, ASP3012, ASP3051 or ATM3050 including at least two of MTH3011, MTH3051, MTH3060 and MTH3310
• any remaining points from the MTH, ATM and ASP units at level two and three listed above

Double major sequence in applied mathematics (72 points)

• a minor sequence in mathematics that includes MTH2032
• MTH2021 (if not already taken)
• at least six units (36pts) from MTH3011, MTH3020, MTH3051, MTH3060, MTH3310, MTH3360, ASP3012, ASP3051, ATM3040, ATM3050 or MTH3251 including at least three (18pts) of MTH3011, MTH3020, MTH3051, MTH3060 and MTH3310
• any remaining points from the MTH, ATM and ASP units at level two and three listed above

Major sequence in pure mathematics (48 points)

• MTH1020 and MTH1030, or MTH1030 and MTH2010, or MTH1030 and one of MAT1830 or MTH1000
• MTH2010 (if not already taken at level one) and MTH2021
• MTH2140 or MTH3140, and MTH2121 or MTH3121
• the remaining 12 or 18 points from MTH2222, MTH3110, MTH3150, MTH3160, MTH3011, MTH3020 and MTH3230
• a total of at least 18 points at level three

Double major sequence in pure mathematics (72 points)

• MTH1020 and MTH1030, or MTH1030 and MTH2010, or MTH1030 and one of MAT1830 or MTH1000
• MTH2010 (if not already taken at level one) and MTH2021
• MTH2140 or MTH3140, and MTH2121 or MTH3121
• the remaining points from MTH2222, MTH3000, MTH3110, MTH3150, MTH3160, MTH3011, MTH3020 and MTH3230
• a total of at least 36 points at level three

Major sequence in mathematical statistics (48 points)

• either STA1010 and MTH1030, or MTH1030 and MTH2010, or MTH1030 and MTH1000
• MTH2222, MTH2232, and one of MTH2010, MTH2021 or MTH2140 (MTH2010 must be included if not already taken in level one)
• three units from ETC3400, ETC3420, MTH3230, MTH3241 and MTH3251, including at least two of MTH3230, MTH3241 and MTH3251

Double major sequence in mathematics and mathematical statistics (72 points)

• either STA1010 and MTH1030, or MTH1030 and MTH2010, or MTH1030 and MTH1000
• MTH2010 (if not already completed in level one), MTH2222, MTH2232
• any three of ETC3400, MTH3230, MTH3241 and MTH3251
• the remaining units from level two and level three units listed above
• a total of at least 36 points at level three

Double major sequence in financial and insurance mathematics (72 points)

• either STA1010 and MTH1030, or MTH1030 and MTH2010, or MTH1030 and MTH1000
• MTH2010 (if not already completed in level one), MTH2222, MTH2232
• ETC3400, ETC3460, MTH3230, MTH3241, MTH3251 and at least one of ETC3420 or ETC3530
• the remaining points from level two and level three units ETC2410, MTH2021, MTH2140, ETC3420, ETC3530, MTH3011, MTH3051 and MTH3060

Requirements for honours in mathematics and statistics

• 24 points of relevant level three mathematics and statistics units, of which normally 18 points are relevant to the project

Additional information

There 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 higher-level units in their area of interest before finalising their choice of units and may seek the assistance of the relevant coordinator. 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 one

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 level-one 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 first-year students who have taken MTH1030 in their first semester. Further details of recommended mathematics sequences are provided below.

The units STA1010, MAT1830 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. MAT1830 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 astrophysicsastronomy and astrophysics (http://www.monash.edu.au/pubs/2014handbooks/aos/astronomy-and-astrophysics/) entry in the Science areas of study section of this Handbook.

Recommended level-one mathematics sequences

For 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 MAT1830 or STA1010 instead of MTH2010 in their first year.

For other students, the recommended level-one mathematics units are MTH1010 and MTH1020.

Students not intending to take any level-two 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 two

It is strongly recommended that students enrolling in any level-two mathematics units read the requirements of their desired major sequence(s) carefully to ensure that those units can be counted towards that sequence, and that any prerequisite requirements at level three will have been satisfied. Further advice and assistance on this matter can be obtained from either the relevant coordinator (listed above) or the Faculty of Science Student Academic Services officeStudent Academic Services office (http://monash.edu/science/current/undergraduate/help/).

Students 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 not already taken) 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.

The unit MTH2000 (Mathematics research project level 2) is normally only available to students in course 1120 Bachelor of Science (Science Scholar Program), or by permission of the head of school.

The School of Applied Sciences and Engineering also offers some level-two mathematics and statistics units at the Gippsland campus and through off-campus learning.

Level three

It is strongly recommended that students enrolling in any level-three mathematics units read the requirements of their desired major sequence(s) carefully to ensure that those units can be counted towards that sequence, and that all other requirements will have been satisfied. Further advice and assistance on this matter can be obtained from either the relevant coordinator (listed above) or the Faculty of Science Student Academic Services officeStudent Academic Services office (http://monash.edu/science/current/undergraduate/help/).

The School of Mathematical Sciences offers a broad range of mathematics units at level three. Many of these units are intended for non-specialist third-level 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.

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 Bachelor of Science Advanced (Research) or Bachelor of Science (Science Scholar Program), or by permission of the head of school.

Honours

In 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:

• 3520 Bachelor of Science Advanced (Research)
• 0051 Honours degree of Bachelor of Science
• 2188 Honours degree of Bachelor of Science (Science Scholar Program)

Full details regarding the course structure for honours in this area of study are outlined in course 0051 Honours degree of Bachelor of Science.