Search | Previous : Mathematical Sciences | Next : Modern Greek
Handbook 1997 : Faculty of Arts : Mathematics

Faculty of Arts

Mathematics

Mathematics is the oldest of the exact sciences, and among the oldest of all intellectual disciplines. It has long been valued as the training ground for systematic, logical and analytical thought and it contains ideas as profound and beautiful as may be encountered anywhere. A knowledge of Mathematics is invaluable for professional life in the pure and applied sciences, as well as in commerce and industry, and an understanding of Mathematics is invaluable in making sense of a rapidly changing and increasingly technologically complex world.


Career opportunities

Mathematically trained graduates have found many rewarding and challenging career options open to them in recent years. They are needed in secondary and tertiary education, scientific and engineering research and development, finance and commerce, and other areas. They may work for companies of any size, government departments or statutory authorities, educational institutions, or they work independently as consultants. Mathematicians assist their employers or clients in making optimal decisions in production, distribution, storage, scheduling, facility planning, pricing, investment, and many other areas of commerce and industry. They model industrial processes, and collaborate with scientists in all areas of research and development. Mathematicians are also valued for their well-developed analytical skills, even in areas where specific mathematical techniques are not employed.


Prerequisites

Available first-year subjects are listed under the preceding Mathematical Sciences entry, to which the reader's attention is directed. The only requirements for entry into later years are those associated with prerequisites and corequisites for individual later-year subjects.


Requirements for a Major

The Mathematics single major requires the following sequence.

Second year:

Third year:

Subjects chosen must be consistent with prerequisite requirements. Examples, given for illustrative purposes only, are as follows:

(a) Emphasising advanced pure mathematics (entry requires the invitation of the Head of the Department of Mathematics)

(b) Emphasising studies in Operations Research (permission to enter 618-121 required)

(c) Emphasising studies in Operations Research

(d) Emphasising industrial and applied mathematics or mathematics education

Options are considerably enhanced by taking more than two first-year subjects from the offerings of the Departments of Mathematics and Statistics and the School of Mathematical Sciences.


Honours requirements

There is no distinction between pass and honours streams in first, second, or third year, although some Mathematics subjects, designated as 'Advanced' and only available by invitation, are especially suited for potential honours candidates. The normal prerequisites for entry into the fourth-year Honours program in Mathematics require more third-year Mathematics subjects than are usually allowed to be included in the points for the Bachelor of Arts degree. Bachelor of Arts students are not normally able to undertake a fourth-year Honours program in Mathematics without a significant overload beyond the usual 100 points per year. However, high-achieving students following a single major stream, with carefully chosen second and third year subjects, and prepared to select from a restricted range of fourth-year offerings, may undertake a fourth-year Honours program in Mathematics.

Bachelor of Arts students contemplating Honours studies in Mathematics, or any combined honours program involving Mathematics and another Arts discipline are strongly urged to seek advice from the relevant departments as early as possible, and to obtain written confirmation from the departments and from the Dean of the Faculty of Arts that their proposed course of study is acceptable. Bachelor of Arts students with a strong inclination towards Honours programmes in Mathematics or Statistics are strongly urged to explore the option of transferring to the Bachelor of Science degree, or to the Bachelor of Science/Bachelor of Arts joint degree program.


Second year subjects

Table 1 shows second-year subjects offered in 1997. Further details of these subjects may be found in the Science Faculty section of the University of Melbourne Undergraduate Studies Handbook.

Second Year Mathematics Subjects

618-200 Mathematics 2

Both semesters

618-201 Real and Complex Analysis

Semester one

618-202 Linear and Abstract Algebra

Semester one

618-211 Mathematics 2 (Advanced)

Semester one

618-231 Vector Analysis

Both semesters

618-232 Mathematical Methods

Semester two

618-252 Analysis

Semester two

618-261 Introduction to Operations Research

Semester one

618-262 Decision-Making

Semester two

618-282 Applied Mathematics for Chemical Physics

Semester two

618-291 Mathematics Project A (Advanced)

Semester one

618-292 Mathematics Project B (Advanced)

Semester two


Third year subjects

Table 2 shows third-year subjects offered in 1997. Further details of these subjects may be found in the Science Faculty section of the University of Melbourne Undergraduate Studies Handbook.

Third year Mathematics Subjects

618-301 Metric Spaces

618-302 Linear Analysis

618-321 Algebra

618-322 Topology

618-331 Applied Mathematics A

618-332 Applied Mathematics B

618-341 Dynamical Systems and Chaos

618-342 Industrial and Applied Mathematics

618-351 Number Theory

618-352 Graph Theory

618-361 Operations Research Techniques and Algorithms

618-362 Applied Operations Research

618-381 Computational Mathematics

618-391 Mathematics Topics A

618-392 Mathematics Topics B


Fourth year (Honours) subjects

Entry into the Mathematics Honours programme at fourth year requires the permission of the Head of the Department of Mathematics. The student is usually required to have obtained adequate results in four subjects chosen from among 618-301, 618-302, 618-321, 618-322, 618-331, 618-332, 618-341, 618-342, 618-361, 618-362. Bachelor of Arts students will not normally be able to meet these requirements without an overload beyond the normal 100 points in third year, but students with outstanding previous achievement in Mathematics may be accepted into Honours in Mathematics, or Combined Honours in Mathematics and another Arts discipline with fewer than four third-year Mathematics subjects. Enquiries should be directed to the Department of Mathematics Fourth-year Coordinator (Assoc. Professor Neumann).

Honours students are encouraged to undertake some part-time tutoring within the Department of Mathematics. For further details, consult the Director of First-year Studies (Dr Barrington). Students should discuss any financial difficulties with the HECS Charge with the Fourth-year Coordinator (Assoc. Professor Neumann).


For more information

For more information, please contact:

Department of Mathematics

The University of Melbourne

telephone: (03) 9344-5550

fax: (03) 9344 4599

World-Wide-Web: http://www.maths.mu.oz.au/



Search | Previous : Mathematical Sciences | Next : Modern Greek
Handbook 1997 : Faculty of Arts : Mathematics
Status:                   OFFICIAL 1997
Last Modified:            Wednesday March 12 3:36 pm
SGML to HTML Conversion:  Information Technology Services
Authorised by:            Academic Registrar
Email Enquiries:          Course_Information@registrar.unimelb.edu.au
Copyright © University of Melbourne 1997.