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Course Description
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Course Name
Geometry II: Knots and Surfaces
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Host University
Queen Mary, University of London
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Location
London, England
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Area of Study
Mathematics
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Language Level
Taught In English
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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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UK Credits
15 -
Recommended U.S. Semester Credits4
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Recommended U.S. Quarter Units6
Hours & Credits
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Overview
Credits: 15.0
Overlap: None
Prerequisite: "MTH4101 MTH4103"The module provides a first introduction to abstract ideas of differential geometry of curves and surfaces,
with some elements of knot theory and hyperbolic geometry. Building on experience with vectors in three
dimensions and elementary calculus, the modules asks what one can say of mathematical interest about an
arbitrary curve or surfaces. The module starts with the problem of how to tell if a curve or piece of string
is knotted (other than by pulling it about, ie. mathematically) before moving on to differential geometric
(calculus based) methods of measuring properties such as 'torsion' and 'curvature' of a curve or surface.
The module ends with exposure to more abstract hyperbolic surfaces and higher-dimensional spaces defined
by identifications and symmetries. There will be some proofs.Assessment: 10.0% Coursework, 90.0% Examination
Semester 1 Associate Assessment: 100.0% Coursework
Level: 5
Course Disclaimer
Courses and course hours of instruction are subject to change.
Eligibility for courses may be subject to a placement exam and/or pre-requisites.
Some courses may require additional fees.
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.
Please reference fall and spring course lists as not all courses are taught during both semesters.
Please note that some courses with locals have recommended prerequisite courses. It is the student's responsibility to consult any recommended prerequisites prior to enrolling in their course.