# Mathematics for Education - MATHV14076

## Stream Summary

**Faculty:** Faculty of Arts&Social Science

**School:** School of Mathematics and Statistics

**Contact:** http://www.maths.unsw.edu.au/

**Program:** 4076 - Science/Education (Secondary)

**Award(s):**

Bachelor of Science (Major)

View stream information for previous years

## Stream Outline

*Pure Mathematics*is the study of the essential structures of mathematics. Work by pure mathematicians underpins most of the technological advances of this century. Pure Mathematics is concerned with problems and techniques which transcend specific applications. Research, focusing on the development of existing theories or the creation of new ones, may be driven by applications or by the internal demands of the discipline. Pure Mathematics courses provide the insights and understanding required by those using mathematics, leading to mastery of the fundamental processes of mathematical science and the capacity for innovative applications in any area.

*Applied Mathematics*concerns the development of mathematics and models for understanding scientific phenomena, for the solution of technical and industrial problems, and for use in the social, economic and management sciences. Courses are designed to provide basic mathematical and computational skills needed for a wide range of applications, to develop the capability to construct, analyse and interpret mathematical models, and to encourage enthusiasm for the role of the mathematician in a variety of contexts.

*Statistics*is the science and art of using factual material for modelling and inference. Its mathematical foundations are in the theory of probability and it deals with how to estimate and make decisions using knowledge which is uncertain or observational material which is subject to error. There is a rich interplay of ideas between the theory of statistics and fields such as engineering, medicine and biological and behavioural sciences where statistical problems constantly arise.

This stream is for a major in Mathematics for Education as part of a concurrent Bachelor of Science / Bachelor of Education program (4076). Only students enrolled concurrently in both a Bachelor of Science and Bachelor of Education program may take this major. The major ensures that students meet all accreditation requirements with the NSW Institute of Teachers.

## Stream Structure

**Stage 1**

- MATH1131 Mathematics 1A (6 UOC)
**or**MATH1141 Higher Mathematics 1A (6 UOC)**or**MATH1151 Mathematics for Actuarial Studies and Finance 1A (6 UOC) - MATH1231 Mathematics 1B (6 UOC)
**or**MATH1241 Higher Mathematics 1B (6 UOC)**or**MATH1251 Mathematics for Actuarial Studies and Finance 1B (6 UOC) - MATH1081 Discrete Mathematics (6 UOC)

**Note:**students who intend to become Mathematics teachers need to complete at least 6 UOC of computing courses (e.g., COMP1911, COMP1400, or ENGG1811) and 6 UOC of Physics (e.g. PHYS1111, PHYS1121, or PHYS1131).

**Stage 2**

- MATH2011 Several Variable Calculus (6 UOC)
**or**MATH2111 Higher Several Variable Calculus (6 UOC) - MATH2121 Theory and Applications of Differential Equations (6 UOC)
**or**MATH2221 Higher Theory and Applications of Diff. Equations (6 UOC) - MATH2501 Linear Algebra (6 UOC)
**or**MATH2601 Higher Linear Algebra (6 UOC) - MATH2521 Complex Analysis (6 UOC)
**or**MATH2621 Higher Complex Analysis (6 UOC) - MATH2801 Theory of Statistics (6 UOC)
**or**MATH2901 Higher Theory of Statistics (6 UOC)

**Stage 3**

- MATH3560 History of Mathematics (3 UOC)

- MATH3570 Foundations of Calculus (3 UOC) *
- MATH3511 Transformations, Groups and Geometry (6 UOC)
**or**MATH3531 Topology and Differential Geometry (6 UOC)**or**MATH3701 Higher Topology and Differential Geometry (6 UOC) - 6 UOC level III Mathematics

**Students can substitute MATH3611 Higher Analysis (6 UOC) for MATH3570 Foundations of Calculus (3 UOC) and still satisfy the requirements for accreditation. However, where MATH3611 is substituted for MATH3570, students may need to take 3 UOC of courses above the minimum UOC requirements for the program, unless they are able to find another 3 UOC science course to take as an elective.**

*Note:*