This page contains information about plans in Advanced Mathematics (Program 3986) and Advanced Science (Program 3972).

You can check the full rules for 3986 - Advanced Mathematics and 3972 - Advanced Science in the UNSW Handbook for the appropriate year.

The available plans in Mathematics and Statistics are:

- Applied Mathematics
- Pure Mathematics
- Advanced Statistics
- Quantitative Risk (approval from the Undergraduate Director required)
- Advanced Physical Oceanography (Advanced Science, program 3972)
- High Performance Students Plan (by invitation only)
- Mathematics (Advanced Science)
- Statistics (Advanced Science)

**NOTES:**

All courses are taken at the Higher level (where available). Students wishing to take such courses at the Ordinary level must make a formal application to vary their program. The Mathematics and Statistics plans in Advanced Science have the same structure as in program 3970, except for requiring higher level courses to be taken.

Students must maintain a WAM of at least 70 to stay in the Advanced Mathematics (or Science) degrees.

Students must complete all of stages 1, 2 and 3 in one of the plans listed before commencing honours.

All the Mathematics and Statistics Plans in Advanced Mathematics may be taken with Arts (Program 3933), Law (Program 3998), Commerce (Program 3523), Economics (Program 3564), Actuarial Studies (Program 3589) and Engineering (Program 3761). You can view more details on Program 3523.

Many electives and all General Education are omitted when taking a combined degree.

Please refer to the downloadable (PDF) plan structures for entry from 2013 onwards below:

Please refer to the downloadable (PDF) plan structures for 2012 entry below:

Or refer to the plan structures below:

#### Applied Mathematics (MATHA13986)

**Stage 1**

MATH1141 Higher Mathematics 1A

MATH1241 Higher Mathematics 1B

MATH1081 Discrete Mathematics

SCIF1121 Advanced Science: PPP

Computer Science courses totalling 6 units of credit

Elective courses totalling 18 units of credit

**Stage 2**

MATH2111 Higher Several Variable Calculus

MATH2221 Higher Theory and Applicarions of Differential Equations (pre-2104: MATH2130)

MATH2301 Mathematical Computing

MATH2601 Higher Linear Algebra

MATH2621 Higher Complex Analysis (pre-2014 MATH2620)

MATH2901 Higher Theory of Statistics

Elective courses totalling 6 units of credit (pre-2014, 12uoc)

General Education courses totalling 6 units of credit

**Stage 3**

18 UOC from MATH3041, MATH3101, MATH3121, MATH3161, MATH3201, MATH3261, MATH3311, MATH6871

A further 12uoc of level III Mathematics or Statistics courses, as approved by the Head of Applied Maths or Applied Maths honours coordinator or Director of Undergraduate Studies.

Elective courses totalling 12 units of credit

General Education courses totalling 6 units of credit

**Stage 4**

Honours in Applied Mathematics, which consists of a thesis or project taken by enrolling in 18 UOC from:

MATH4001 Mathematics and Statistics Honours Thesis A (6uoc)

MATH4003 Mathematics and Statistics Honours Thesis A (12uoc)

typically over multiple semesters, plus 30 UOC of honours level MATH courses as approved by the Applied Mathematics honours coordinator.

#### Pure Mathematics (MATHP13986)

**Stage 1**

MATH1141 Higher Mathematics 1A

MATH1241 Higher Mathematics 1B

MATH1081 Discrete Mathematics

SCIF1121 Advanced Science PPP

Computer Science courses totalling 6 units of credit

Elective courses totalling 18 units of credit

**Stage 2**

MATH2111 Higher Several Variable Calculus

MATH2221 Higher Theory and Application of Differential Equations (pre-2014: MATH2130)

MATH2601 Higher Linear Algebra

MATH2621 Higher Complex Analysis (pre-2014, MATH2620)

MATH2701 Abstract Algebra and Fundamental Analysis

MATH2901 Higher Theory of Statistics

Elective courses totalling 6 units of credit (pre-2014, 12uoc)

General Education courses totalling 6 units of credit

**Stage 3**

MATH3611 Higher Analysis

MATH3711 Higher Algebra

MATH3701 Higher Differential Geometry and Toplopgy

A further 12uoc of Level III Mathematics or Statistics courses, as approved by the Head of Pure Maths or Pure Maths honours coordinator or the Director of Undergraduate Studies

Elective courses totalling 12 units of credit

General Education courses totalling 6 units of credit.

**Stage 4**

Honours in Pure Mathematics, which consists of a thesis or project taken by enrolling in 18 UOC from:

MATH4001 Mathematics and Statistics Honours Thesis A (6uoc)

MATH4003 Mathematics and Statistics Honours Thesis A (12uoc)

typically over multiple semesters, plus 30 UOC of honours level MATH courses as approved by the Pure Mathematics honours coordinator.

#### Advanced Statistics (MATHT13986)

**Stage 1**

MATH1141 Higher Mathematics 1A

MATH1241 Higher Mathematics 1B

MATH1081 Discrete Mathematics

Computer Science courses totalling 6 units of credit

Elective courses totalling 18 units of credit

**Stage 2**

MATH2111 Higher Several Variable Calculus

MATH2601 Higher Linear Algebra

MATH2901 Higher Theory of Statistics

MATH2931 Higher Linear Models

MATH2221 Higher Differential Equations or MATH2621 Higher Complex Analysis (pre-2014, both MATH2130 and MATH2620)

Elective courses totalling 12 units of credit

General Education courses totalling 6 units of credit

**Stage 3**

MATH3901 Higher Probability and Stochastic Processes

MATH3911 Higher Statistical Inference

MATH3821 Statistical Modelling and Computing

A further Level III Mathematics or Statistics courses totalling 12 units of credit as approved by the Head of Statistics or the Statistics honours coordinator or the Director of Undergraduate Studies*

Elective course totaling 12 units of credit

General Education courses totalling 6 units of credit

*At least 6 UOC must be chosen from MATH3831, MATH3841, MATH3851 or MATH3871 to satisfy the requirements for accreditation.

**Stage 4**

Honours in Statistics, which consists of a thesis or project taken by enrolling in 18 UOC from:

MATH4001 Mathematics and Statistics Honours Thesis A (6uoc)

MATH4003 Mathematics and Statistics Honours Thesis A (12uoc)

typically over multiple semesters, plus 30 UOC of honours level MATH courses as approved by the Statistics honours coordinator.

#### Quantitative Risk (MATHR13986)

Note:

Students need permission from the Head of School to take this Plan and should have excellent marks in HSC Mathematics Extension 2.

Students wishing to transfer to this plan should contact the Director of Undergraduate Studies.

Students will have to maintain a DN average to stay in this Plan.

The purpose and background of the plan is explained here.

**Year 1 Semester 1 **

MATH1151 Mathematics for Actuarial Studies and Finance 1A

ECON1101 Microeconomics 1

FINS1613 Business Finance

SCIF1121 Advanced Science: PPP

**Year 1 Semester 2 **

MATH1251 Mathematics for Actuarial Studies and Finance 1B

ACCT1501 Accounting and Financial Management 1A

Elective courses totalling 6 units of credit (Recommended: COMP1911 Computing 1; MATH1081 Discrete Mathematics; FINS1612 Capital Markets and Institutions)

General Education courses totalling 6 units of credit

**Year 2 Semester 1**

MATH2111 Higher Several Variable Calculus

MATH2901 Higher Theory of Statistics

ACTL2111 Financial Mathematics for Actuaries or ACTL2001 Financial Mathematics

MATH2601 Higher Linear Algebra

**Year 2 Semester 2**

FINS2624 Portfolio Management

MATH2881 Quantitative Risk

MATH2931 Higher Linear Models

Elective courses totalling 6 units of credit

**Year 3 Semester 1**

MATH3901 Higher Probability and Stochastic Processes

FINS3635 Options, Futures and Risk Management FINS3636 Interest Rate Risk Management

General Education courses totalling 6 units of credit

Mathematics or Statistics Level III courses totalling 6 units of credit, as approved by the Director of Undergraduate Studies.

**Year 3 Semester 2**

ACTL3162 General Insurance Techniques

FINS3655 Behavioural Finance

FINS3635 Options, Futures and Risk Management

Mathematics or Statistics Level III courses totalling 6 units of credit, as approved by the Head of School or Director of Undergraduate Studies.

+ By agreement with the School of Acutarial Studies, the pre-requisites for ACTL3162 are MATH2881 and MATH3901 in this plan only. Contact the Student Services Manager or the Director of Undergraduate Studies to enrol in ACTL3162.

**Year 4 **

Honours in Quantitative Risk, which consists of a thesis or project taken by enrolling in 18 UOC from:

MATH4011 Quantitative Risk Thesis/Project A (6 UOC)

MATH4012 Quantitative Risk Thesis/Project B (12 UOC)

typically over multiple semesters, plus 30 UOC selected from the following or other approved courses:

ACTL5301 Models for Risk Management

ACTL5302 Risk and Capital Management

ACTL5303 Asset-Liability Pricing

ACTL5304 Risk Management Strategies

FINS4775 Research Methods in Finance 1

FINS4776 Advanced Topics in Asset Pricing

FINS4779 Research Methods in Finance 2

MATH5335 Computational Methods for Finance

MATH5816 Continuous Time Financial Modelling

MATH5825 Measure, Integration and Probability

MATH5835 Stochastic Processes

MATH5905 Statistical Inference

MATH5975 Introduction to Stochastic Analysis

MATH5985 Term Structure Modelling

**Notes **

1. Enrolment in courses outside the School of Mathematics and Statistics may be subject to approval from the controlling School or Department.

2. The grade of Quantitative Risk honours will be decided on the weighted average mark of those courses taken for Quantitative Risk honours.

#### Advanced Physical Oceanography (MATHO13972)

**Stage 1**

MATH1141 Higher Mathematics 1A

MATH1241 Higher Mathematics 1B

SCIF1121 Advanced Science PPP

PHYS1121 Physics 1A or PHYS1131 Higher Physics 1A

PHYS1221 Physics 1B or PHYS1231 Higher Physics 1B

**Stage 2**

MATH2111 Higher Several Variable Calculus

MATH2221 Higher Theory and Application of Differential Equations (pre-2014: both MATH2130 and MATH2620)

MATH2241 Introduction to Atmosphere and Ocean Dynamics

MATH2301 Mathematical Computing

MATH2901 Higher Theory of Statistics

PHYS2801 Atmospheric Science

6 UOC of General Education

6 UOC of electives (Recommended: SCIF2041 Research Internship A)

Recommended courses: MATH2621 (Higher Complex Analysis), GEOS2811 (Remore Sensing Applications)

**Stage 3**

MATH3041 Mathematical Modelling

MATH3101 Computational Mathematics

MATH3121 Mathematical Methods for DEs

MATH3261 Atmosphere-Ocean Dynamics

MSCI3001 Physical Oceanography

6 UOC of General Education

12 UOC of free electives

**Stage 4**

Honours in Physical Oceanography, which consists of a thesis or project taken by enrolling in 18 UOC from:

MATH4003 Mathematics and Statistics Honours Thesis A (12uoc)

typically over multiple semesters, plus 30 UOC of honours level MATH courses as approved by the Applied Mathematics honours coordinator.

#### High Performance Students Plan (by invitation only) (MATHZ13986)

This study plan is only available by invitation from the Head of School of Mathematics and Statistics and Associate Dean (Undergraduate Programs) of Science. Normally students would not be invited unless they have an ATAR of at least 98 and a mark of at least 97 in HSC Maths Extension 2 or have Mathematical Olympiad experience. Students in later years may also be invited to join this plan if their WAM and Maths WAM both exceed 90. Students are able to approach the Head of School if they are interested in being invited to join the plan.

Students will need to maintain a very high level of achievement (normally a WAM and Maths WAM in excess of 90) to stay in this plan.

If a student is not able to continue in the plan for any reason, then they will be transferred to another suitable plan in Advanced Mathematics or major in Science with a variation of program to that plan or major if necessary so that they are not disadvantaged by having taken the High Performance Students Plan.

The selection of courses will be made by the student in consultation with their academic mentor. The choice of courses can be made to suit a student's interests and may include a mix of Mathematics and other Science Courses and courses from other Schools. The final details require approval of the Head of School of Mathematics and Statistics and the Associate Dean (Undergraduate Programs) of Science. The outline below is the normal program of study, but may be varied to suit the particular student.

**Stage 1**

SCIF1021 Advanced Science and Mathematics Seminar

Mathematics and other courses (as approved) totalling 30 units of credit

Elective courses totalling 12 units of credit

**Stage 2**

Mathematics and other courses (as approved) totalling 30 units of credit

Elective courses totalling 12 units of credit

General Education courses totalling 6 units of credit

**Stage 3**

Mathematics and other courses (as approved) totalling 30 units of credit

Elective courses totalling 12 units of credit

General Education courses totalling 6 units of credit

**Stage 4**

Mathematics Honours Year