|Course code MATH3180||Units 10||Level 3000||Faculty 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 2015
|Objectives||On 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.
|Content||1. metric spaces|
6. topological spaces
|Assumed Knowledge||MATH2320 and MATH2330|
|Modes of Delivery||Internal Mode|
|Contact Hours||Lecture: for 3 hour(s) per Week for Full Term|
|Timetables||2015 Course Timetables for MATH3180|