This page contains information about plans in Advanced Mathematics (Honours) (Program 3956) and Advanced Science (Honours) (Program 3962).

You can check the full rules for 3956 - Advanced Mathematics (Honours) and 3962 - Advanced Science (honours) in the UNSW Handbook.

Prior to 2016, the degrees did not have 'honours' in the name are were programs 3986 (Advanced Mathematics) and 3972 (Advanced Science): see the Handbook of the appropriate year for the program rules.

The available plans in Mathematics and Statistics are:

- Applied Mathematics
- Pure Mathematics
- Advanced Statistics
- Advanced Physical Oceanography (Advanced Science, program 3962)
- 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 3949)
- Law (Program 3998)
- Commerce (Program 3523)
- Economics (Program 3564)
- Actuarial Studies (Program 3589)
- Engineering (Honours) (Program 3761)
- Computer Science (Program 3946)

You can view more details on Program 3523 on its own page.

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

#### Applied Mathematics (MATHA13956)

**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

MATH2301 Mathematical Computing

MATH2601 Higher Linear Algebra

MATH2621 Higher Complex Analysis

MATH2901 Higher Theory of Statistics

Elective courses totalling 6 units of credit

General Education courses totalling 6 units of credit

**Stage 3**

18 UOC from MATH3041, MATH3101, MATH3121, MATH3161, MATH3171, MATH3201, MATH3261, MATH3311, MATH3361, 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 MATH4001 Mathematics and Statistics Honours Thesis (6UoC) in each of three successive terms, plus 30 UoC of honours level MATH courses as approved by the Applied Mathematics honours coordinator.

#### Pure Mathematics (MATHP13956)

**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

MATH2601 Higher Linear Algebra

MATH2621 Higher Complex Analysis

MATH2701 Abstract Algebra and Fundamental Analysis

MATH2901 Higher Theory of Statistics

Elective courses totalling 6 units of credit

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 MATH4001 Mathematics and Statistics Honours Thesis (6UoC) in each of three successive terms, plus 30 UoC of honours level MATH courses as approved by the Pure Mathematics honours coordinator.

#### Advanced Statistics (MATHT13956)

**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

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

At least one of MATH3831, MATH3841, MATH3851 or MATH3871

Further Level III Mathematics or Statistics courses totalling 6 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

**Stage 4**

Honours in Statistics, which consists of a thesis or project taken by enrolling in MATH4001 Mathematics and Statistics Honours Thesis (6UoC) in each of three successive terms, plus 30 UoC of honours level MATH courses as approved by the Statistics honours coordinator.

#### Quantitative Risk (MATHR13956)

**Notes**:

- Only students who matriculated into UNSW in 2017 or earlier can now take this plan. (See comment below.)
- 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 plan was introduced in to answer a need for students to gain simultaneous expertise in statistics, finance and risk (in the actuarial sense). At that time there was no other suitable option for students who were keen to move into Quantitative Risk. However, UNSW now offers a suite of dual degree programs that can offer a wider education for such students. In particular, UNSW offers dual degrees in Actuarial Studies/Advanced Maths and Commerce/Advanced Mathematics. These programs allow a very broad choice of courses that

can be tailored for students interested in a career in Quantitative Risk, and so this separate study plan is no longer seen as necessary.

The School can provide detailed advice on course choices for UNSW students interested in this field who are not eligible to enter the QR plan.

**Stage 1 **

MATH1151 Mathematics for Actuarial Studies and Finance 1A

ECON1101 Microeconomics 1

FINS1613 Business Finance

SCIF1121 Advanced Science: PPP

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

**Stage 2**

ACTL2111 Financial Mathematics for Actuaries or ACTL2001 Financial Mathematics

MATH2111 Higher Several Variable Calculus

MATH2901 Higher Theory of Statistics

MATH2601 Higher Linear Algebra

MATH2931 Higher Linear Models

FINS2624 Portfolio Management

MATH2881 Quantitative Risk (for students requiring this course after 2017, contact the Director of Undergraduate Studies about a replacement)

Elective courses totalling 6 units of credit

**Stage 3 **

ACTL3162 General Insurance Techniques+

MATH3901 Higher Probability and Stochastic Processes

FINS3635 Options, Futures and Risk Management

FINS3636 Interest Rate Risk Management OR FINS3655 Behavioural Finance

Mathematics or Statistics Level III courses totalling 12 units of credit, as approved by the Director of Undergraduate Studies.

General Education courses totalling 6 units of credit

+ By agreement with the School of Acutarial Studies, the pre-requisites for ACTL3162 are MATH2901 and enrolment in this plan. You may need to contact the Student Services Manager or the Director of Undergraduate Studies to enrol in ACTL3162.

**Stage 4 **

Honours in Quantitative Risk, which consists of a thesis or project taken by enrolling in MATH4001 Mathematics and Statistics Honours Thesis (6UoC) in each of three successive terms, 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 (MATHO13962)

**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

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 MATH4001 Mathematics and Statistics Honours Thesis (6UoC) in each of three successive terms, plus 30 UoC of honours level MATH courses as approved by the Applied Mathematics honours coordinator.