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Course Description
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Course Name
Topology
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Host University
University of Newcastle
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Location
Newcastle, Australia
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Area of Study
Mathematics
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Language Level
Taught In English
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Prerequisites
MATH2320 and MATH2330
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Course Level Recommendations
Upper
ISA offers course level recommendations in an effort to facilitate the determination of course levels by credential evaluators.We advice each institution to have their own credentials evaluator make the final decision regrading course levels.
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Host University Units
10 -
Recommended U.S. Semester Credits3 - 4
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Recommended U.S. Quarter Units4 - 6
Hours & Credits
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Overview
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.LEARNING OUTCOMES1. 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.CONTENTMetric spacesContinuityCompletenessCompactnessConnectednessTopological spacesASSUMED KNOWLEDGEMATH2320 and MATH2330ASSESSMENT ITEMSWritten Assignment: Assignment questionsProject: ProjectFormal Examination: Exam
Course Disclaimer
Courses and course hours of instruction are subject to change.
Credits earned vary according to the policies of the students' home institutions. According to ISA policy and possible visa requirements, students must maintain full-time enrollment status, as determined by their home institutions, for the duration of the program.