Mathematics Honours 4220

Course code MATH4220Units 20Level 4000Faculty of Science and Information TechnologySchool of Mathematical and Physical Sciences

Introduces students to the investigative and research aspects of mathematical knowledge. It prepares students for further postgraduate study in mathematics (PhD or Masters) either in Australia or overseas. Alternatively, it provides valuable additional training for those students wishing to enter the workforce. Employers particularly appreciate the communication, report writing, problem-solving and research skills developed in the Honours program. Honours is a coordinated programme spanning two semesters of full-time study or four semesters of part-time study. The Honours program requires students to study 6 advanced topics together with a project done under the supervision of an academic staff member. For administrative purposes students enrol in each of the 20 unit semester length courses: MATH4110, MATH4120, MATH4210, MATH4220.

Not available in 2015

Objectives1. To deepen understanding of a particular area of mathematics, while at the same time broadening knowledge of related areas.
2. To develop the capability of understanding mathematical, and mathematically based technical literature.
3. To develop written and oral communication skills.
4.To develop research skills.
ContentAdvanced study in topic areas such as:
Algebraic Topology
Banach algebras
Topological Groups
Convex Analysis
Symbolic Dynamics
Fixed Point Theory
Operator Theory
Geometry of Banach Spaces
Perturbation Theory
Lie Algebras
Coxeter groups and associated structures
Geometrical Mechanics
General Relativity
Foundations of Modern Differential Geometry
Quantum Mechanics
Lie Groups and Differential Equations
Replacing Course(s)N/A
Industrial Experience0
Assumed KnowledgeStudents intending to pursue Honours in Mathematics should consult with the Head of School or the Mathematics Honours Coordinator prior to their commencement. A credit level average in a mathematics major at the 3000 level is required for entry into Honours.
Modes of DeliveryInternal Mode
Teaching MethodsLecture
Individual Supervision
Student Projects
Assessment Items
Examination: Class
Essays / Written Assignments
Contact HoursLecture: for 4 hour(s) per Week for Full Term
Compulsory Components
Requisite by EnrolmentThis course is only available to students enrolled in the Bachelor of Science (Honours), Bachelor of Science (Professional) (Honours) or Bachelor of Mathematics (Honours) programs.