Topology

Course code MATH3180Units 10Level 3000Faculty of Science and Information TechnologySchool of Mathematical and Physical Sciences

Introduces students to abstract analytic structures and their applications. Familiar concepts from real analysis such as open and closed intervals, limits, and continuity are extended to the more general settings of metric and topological spaces. This greatly expands the scope of their applicability. The material lies at the heart of many developments in modern mathematics and provides a perfect example of the breadth and unity of mathematics.

Available in 2014

Callaghan CampusSemester 1
Previously offered in 2013, 2012, 2011, 2010, 2009, 2008, 2007, 2006, 2005, 2004
ObjectivesOn successful completion of this course, students will have:

1. an awareness of the breadth of mathematics as well as an in-depth knowledge of one specific area.
2. an ability to communicate a convincing and reasoned argument of a mathematical nature in both written and oral form.
3. an understanding of what constitutes a rigorous mathematical argument and how to use reasoning effectively to solve problems.
Content1. metric spaces
2. continuity
3. completeness
4. compactness
5. connectedness
6. topological spaces
Replacing Course(s)n/a
Transitionn/a
Industrial Experience0
Assumed KnowledgeMATH2320 and MATH2330
Modes of DeliveryInternal Mode
Teaching MethodsLecture
Assessment Items
Essays / Written Assignments
Examination: Formal
Contact HoursLecture: for 3 hour(s) per Week for Full Term
Timetables2014 Course Timetables for MATH3180