Firstyear Mathematics and Statistics
Your firstyear mathematics and statistics options depend on the mathematics subjects that you studied at school, your grades, and your bachelor degree.
The following tables list firstyear mathematics options for some of the most common school qualifications. If you completed other qualifications or other mathematics subjects please use the Enrolment Variation form to request a requisite waiver and attach a copy of your transcript from your nonVCE qualification.
Options for firstyear statistics are described below.
Secondary Education  Subject Studied  Level Achieved  Maths Option 

VCE  Specialist Mathematics 3/4 or equivalent  Study score greater than or equal to 38  I 
Specialist Mathematics 3/4 or equivalent  36, 37  II  
Specialist Mathematics 3/4 or equivalent  29  35  III  
Specialist Mathematics 3/4 or equivalent  Less than or equal to 29 ^{†}  IV  
Mathematical Methods 3/4 only or equivalent  Study score greater than or equal to 25  IV  
International Baccalaureate  Mathematics Analysis and Approaches HL  Greater than or equal to 6  I 
Mathematics Analysis and Approaches HL  5  II  
Mathematics Analysis and Approaches HL  4  III  
Mathematics Analysis and Approaches HL  Less than 4  IV  
Mathematics Analysis and Approaches SL  Greater than or equal to 4  IV  
Mathematics Applications and Interpretations HL  Greater than or equal to 4  IV  
Trinity College Foundation Studies  Mathematics 2 and Mathematics 1  Greater than or equal to 90  I 
Mathematics 2 and Mathematics 1  85  89  II  
Mathematics 2 and Mathematics 1  50  84  III  
Mathematics 1 only  Greater than or equal to 50  IV  
GCE ALevel CIE (Cambridge)  Mathematics  A or A*  I 
Mathematics  B  II  
Mathematics  C  III 
Note: GCE ALevel students who have completed other ALevels or other combinations of mathematics subjects should email msmslcapprovals@ms.unimelb.edu.au or speak with a course adviser in the Mathematics & Statistics Learning Centre for advice about appropriate subjects.
† Students with a VCE Specialist Mathematics study score of 29 may choose either option III or option IV. Students with a VCE Specialist Mathematics study score of 27 or 28 are also eligible to enrol in MAST10007 Linear Algebra.
Students who have completed any of the above school qualifications are eligible to enrol into ECON10003, ECON10004, ENGR10004 and ENGR10003.
Mathematics options
Maths Option  Eligible subjects 

I  Standard stream:

II  Standard stream:

III  Standard stream:

IV 
Statistics: see table below 
In some cases, students who fall slightly short of the criterion for entry into the Accelerated Mathematics subjects MAST10008 and MAST10009 may sit a 90minute Advanced Placement Test, and if successful, enrol in MAST10008 and MAST10009. Information about the Advanced Placement Test is available here.
Students who have taken UMEP mathematics should see here for information about firstyear mathematics options. Students who have taken other extension programmes (eg Monash extension) should contact the Mathematics and Statistics Learning Centre (MSLC) for advice.
If you have any questions regarding Mathematics and Statistics subjects, email the Mathematics and Statistics Learning Centre (MSLC).
Statistics options
The firstyear statistics subjects available to you depends on your bachelor degree.
Bachelor Degree  Firstyear statistics options 

Arts, Design, Music, Science  
Biomedicine  
Commerce  Bachelor of Commerce students study statistics as part of the quantitative requirement. 
Students intending to continue to level2 (secondyear) mathematics and statistics should take one of the four firstyear mathematics and statistics pathways below. Which pathway(s) you can take depends on the level of mathematics that you completed at school and on your grades.
Completing one of these pathways satisfies the prerequisites for level2 mathematics and statistics subjects.
The information below is intended for students commencing in semester 1. Students commencing midyear are recommended to seek individual course advice.
MAST10005 Calculus 1 stream
For students who completed VCE Mathematical Methods 3/4 but not VCE Specialist Mathematics 3/4, or achieved a VCE Specialist Mathematics 3/4 study score ≤ 29, or equivalent
Semester 1  MAST10005 Calculus 1 
Semester 2  MAST10006 Calculus 2 
Semester 2 or summer semester  MAST10007 Linear Algebra 
Standard stream
For students with a study score ≥ 29 in VCE Specialist Mathematics 3/4 or equivalent
Our flagship firstyear subjects cover the essential material with a focus on computation and applications. They are perfect for students who need to know mathematics in their chosen major or who want to broaden their education.
Semester 1  MAST10006 Calculus 2 
Semester 2  MAST10007 Linear Algebra 
Bachelor of Science students in this stream can also take MAST10010 Data Analysis 1 in semester 2 if they wish.
Advanced stream
For students with a study score ≥ 36 in VCE Specialist Mathematics 3/4 or equivalent
The advanced stream is for students who want to understand the core firstyear material in greater depth than would be possible in MAST10006/10007 or MAST10008/10009. This stream features more emphasis on mathematical proof, formal logic and communication than the accelerated or standard streams. It is designed for strong students interested in the beauty of formal mathematics, particularly those who intend to study higher level mathematics, statistics, physics and mathematical physics.
Semester 1  MAST10022 Linear Algebra: Advanced 
Semester 2  MAST10021 Calculus 2: Advanced 
Bachelor of Science students in this stream can also take MAST10010 Data Analysis 1 in semester 2 if they wish.
Accelerated stream
For students with a study score ≥ 38 in VCE Specialist Mathematics 3/4 or equivalent
The accelerated stream is for strong students who want to quickly cover the core firstyear mathematics material as well as the equivalent of a secondyear subject MAST20026 Real Analysis in two semesters. This rapid treatment also has more emphasis on mathematical proof than MAST10006 and MAST10007. This stream is highly recommended for Bachelor of Commerce students looking to major in Actuarial Studies.
Semester 1  MAST10008 Accelerated Mathematics 1 
Semester 2  MAST10009 Accelerated Mathematics 2 
Bachelor of Science students in this stream can also take MAST10010 Data Analysis 1 in semester 2 if they wish.
Students with a Specialist Mathematics 3/4 study score of 3537 may apply to sit the Advanced Placement Test to seek entry to the accelerated stream. Information about the Advanced Placement Test is available here.
The following subjects may be relevant to some students.
Subject  Description  Available in these degrees 

MAST10010  This subject lays the foundations for an understanding of the fundamental concepts of probability and statistics required for data analysis. Students should develop expertise in some of the statistical techniques commonly used in the design and analysis of experiments, and will gain experience in the use of a major statistical computing package. Recommended for students of biosciences and psychology, and those wishing to gain some knowledge of statistics.  Bachelor of Science Bachelor of Biomedicine (as a Foundation Elective) Bachelors of Arts, Design and Music (as breadth) 
MAST10011 Experimental Design and Data Analysis  An understanding of statistics is essential for conducting medical research, and for interpreting published research. This subject covers fundamental concepts of probability and statistics that are required for experimental design and data analysis in the health sciences. The presentation and interpretation of the results from statistical analyses of typical health research studies are emphasised. Recommended for Bachelor of Biomedicine students.  Bachelor of Biomedicine (as a Foundation Elective) 
MAST10016 Mathematics for Biomedicine  This subject introduces mathematical modelling in a variety of biomedical contexts, including genetics, chemical reaction kinetics, and modelling the spread of infectious diseases. Emphasis is placed on understanding how biological principles can give rise to quantitative models, and how quantitative models can give insight into natural phenomena. Recommended for Bachelor of Biomedicine students.  Bachelor of Biomedicine (as a Foundation Elective) 
MAST10012 Introduction to Mathematics  Students will strengthen and develop algebraic and conceptual skills, building a firm mathematical base for MAST10005 Calculus 1. Recommended for Design, Arts and Music students who did not complete VCE Mathematical Methods 3/4 or equivalent who are wishing to strengthen their mathematics and statistics skills or seeking a pathway to MAST10005 Calculus 1. This subject is not available to Science, Biomedicine or Commerce students, or to students with a study score of at least 25 in VCE Mathematical Methods 3/4 or equivalent.  Bachelor of Arts Bachelor of Design Bachelor of Music 
This information is for students who completed UMEP Extension Mathematics during secondary school.
 Students who have completed MAST10018 Linear Algebra Extension Studies may be granted credit in their Bachelor degree program for MAST10007 Linear Algebra.
 Students who have completed MAST10019 Calculus Extension Studies may be granted credit in their Bachelor degree program for MAST10006 Calculus 2 (additional reading on sequences and series may be required before commencing studies in certain subjects).
Being granted credit provides the option of having a lighter study load at some stage during the degree. Alternatively, students may decide not to receive credit. In this case, if needed, MAST10018 and MAST10019 may just be used as a prerequisite for other subjects in their degree.
Students in the Bachelor of Science who have completed both semesters of the UMEP program (MAST10018 and MAST10019) will be able to take one of the following subjects in their first semester of first year, according to their grades in MAST10018 and MAST10019:
Subject  Prerequisite  Comments 

MAST20004 Probability  Grade of at least 60 in MAST10019 and a pass in MAST10018  Required for a major in Actuarial Studies 
MAST20006 Probability for Statistics  Pass in both MAST10018 and MAST10019  Useful for students considering a specialisation in statistics 
MAST20009 Vector Calculus  Pass in both MAST10018 and MAST10019  Required and/or recommended for majors in Mathematics or Physics 
MAST20032 Vector Calculus: Advanced  Grade of at least 75 in both MAST10018 and MAST10019 
Only one of the subjects listed above can be taken in a student's first semester; other level2 mathematics & statistics subjects cannot be taken until a student's second semester or later.
In general, we recommend that students wishing to continue with mathematics and statistics take MAST20026 Real Analysis in their second semester of first year. Note that Real Analysis is a prerequisite for most level3 mathematics and statistics subjects.
Engineering systems major
We recommend Bachelor of Science students intending to take an Engineering Systems major complete the following mathematics subjects in their first year, according to their intended engineering specialisation.
Engineering major  Semester 1  Semester 2 

Electrical Engineering Systems  MAST20009 Vector Calculus  MAST20026 Real Analysis 
Other engineering systems major  MAST20009 Vector Calculus  MAST20030 Differential Equations 
Completion of MAST20009 Vector Calculus and MAST20030 Differential Equations satisfies the MAST20029 Engineering Mathematics requirement for level3 engineering subjects.
UMEP students are encouraged to seek course advice from their Faculty and the School of Mathematics and Statistics before selecting subjects in their first year of university study.
For information about the UMEP mathematics courses (content, assessment, etc.) please contact the UMEP Mathematics subject coordinators: msmslcumep@unimelb.edu.au
For questions about enrolment, please contact extensionprogram@unimelb.edu.au