Topology

University of Newcastle

Course Description

  • Course Name

    Topology

  • Host University

    University of Newcastle

  • Location

    Newcastle, Australia

  • Area of Study

    Mathematics

  • Language Level

    Taught In English

  • Prerequisites

    MATH2320 and MATH2330

  • 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.

    Hours & Credits

  • Host University Units

    10
  • Recommended U.S. Semester Credits
    3 - 4
  • Recommended U.S. Quarter Units
    4 - 6
  • 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 OUTCOMES
    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
    Metric spaces
    Continuity
    Completeness
    Compactness
    Connectedness
    Topological spaces
    ASSUMED KNOWLEDGE
    MATH2320 and MATH2330
    ASSESSMENT ITEMS
    Written Assignment: Assignment questions
    Project: Project
    Formal 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.