| CODE | MAT3215 | ||||||||
| TITLE | Metric Spaces | ||||||||
| UM LEVEL | 03 - Years 2, 3, 4 in Modular Undergraduate Course | ||||||||
| MQF LEVEL | 6 | ||||||||
| ECTS CREDITS | 4 | ||||||||
| DEPARTMENT | Mathematics | ||||||||
| DESCRIPTION | - Axioms and examples of metric spaces; - Subspaces and products; - Open and closed sets; - Convergence; - Continuity; - Equivalent metrics; - Compactness and sequential compactness: their equivalence; - Connectedness, and path wise connectedness; - Completeness; - Separability. Textbook: - Buhagiar D; Lecture Notes. Suggested Reading: - O Searcoid M; Metric Spaces, Springer, 2007. - Sutherland W., Introduction to Metric and Topological spaces, Clarendon Press, Oxford, 1975. |
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| ADDITIONAL NOTES | Follows from: MAT1211 Leads to: MAT3212, MAT3219 |
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| STUDY-UNIT TYPE | Lecture | ||||||||
| METHOD OF ASSESSMENT |
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| LECTURER/S | David Buhagiar |
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The availability of optional units may be subject to timetabling constraints. Units not attracting a sufficient number of registrations may be withdrawn without notice. It should be noted that all the information in the description above applies to study-units available during the academic year 2024/5. It may be subject to change in subsequent years. |
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