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MA3F1 - Introduction to Topology

  • Module code: MA3F1
  • Module name: Introduction to Topology
  • Department: Mathematics Institute
  • Credit: 15

Content and teaching | Assessment | Availability

Module content and teaching

Principal aims

"Topology is the study of properties of spaces invariant under continuous deformation. For this reason it is often called ""rubber-sheet geometry"". The module covers: topological spaces and basic examples; compactness; connectedness and path-connectedness; identification topology; Cartesian products; homotopy and the fundamental group; winding numbers and applications; an outline of the classification of surfaces. This module aims to introduce and illustrate the main ideas and problems of topology."

Principal learning outcomes

To explain how to distinguish spaces by means of simple topological invariants (compactness, connectedness and the fundamental group); to explain how to construct spaces by gluing and to prove that in certain cases that the result is homeomorphic to a standard space; to construct simple examples of spaces with given properties (eg compact but not connected or connected but not path connected).

Departmental link

http://go.warwick.ac.uk/MA3F1/

Other essential notes

"Prerequisites: MA129 Foundations, MA242 Algebra I, MA222 Metric Spaces. "

Module assessment

Assessment group Assessment name Percentage
15 CATS (Module code: MA3F1-15)
D (Assessed/examined work) Assessed Course Work 15%
Examination - April 85%

Module availability

This module is available on the following courses:

Core

N/A

Optional Core

N/A

Optional
  • Undergraduate Mathematics (BSc) (G100) - Year 3
  • Undergraduate Mathematics with Intercalated Year (G101) - Year 4
  • Undergraduate Mathematics (MMath) (G103) - Year 3
  • Undergraduate Mathematics (MMath) (G103) - Year 4
  • Undergraduate Master of Mathematics (with Intercalated Year) (G105) - Year 3
  • Undergraduate Master of Mathematics (with Intercalated Year) (G105) - Year 4
  • Undergraduate Master of Mathematics (with Intercalated Year) (G105) - Year 5
  • Undergraduate Mathematics (MMath) with Study in Europe (G106) - Year 4
  • Undergraduate Mathematics and Statistics (BSc MMathStat) (G1G3) - Year 3
  • Undergraduate Mathematics and Statistics (BSc MMathStat) (G1G3) - Year 4
  • Postgraduate Taught Mathematics (Diploma plus MSc) (G1PC) - Year 2
  • Postgraduate Taught Interdisciplinary Mathematics (Diploma plus MSc) (G1PD) - Year 2
  • Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (G300) - Year 3
  • Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (G300) - Year 4
  • Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (G30A) - Year 3
  • Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (G30A) - Year 4
  • Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (G30A) - Year 5
  • Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (G30B) - Year 3
  • Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (G30B) - Year 4
  • Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (G30B) - Year 5
  • Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (G30C) - Year 3
  • Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (G30C) - Year 4
  • Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (G30C) - Year 5
  • Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (G30D) - Year 3
  • Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (G30D) - Year 4
  • Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (G30D) - Year 5
  • Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (with Intercalated (G30E) - Year 3
  • Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (with Intercalated (G30E) - Year 4
  • Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (with Intercalated (G30E) - Year 5
  • Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (with Intercalated (G30F) - Year 3
  • Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (with Intercalated (G30F) - Year 4
  • Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (with Intercalated (G30F) - Year 5
  • Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (with Intercalated (G30G) - Year 3
  • Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (with Intercalated (G30G) - Year 4
  • Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (with Intercalated (G30G) - Year 5
  • Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (with Intercalated (G30H) - Year 3
  • Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (with Intercalated (G30H) - Year 4
  • Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (with Intercalated (G30H) - Year 5
  • Undergraduate Discrete Mathematics (G4G1) - Year 3
  • Undergraduate Discrete Mathematics with Intercalated Year (G4G2) - Year 4
  • Undergraduate Discrete Mathematics (G4G3) - Year 3
  • Undergraduate Mathematics and Physics (with Intercalated Year) (GF14) - Year 4
  • Undergraduate Mathematics and Statistics (BSc) (GG14) - Year 3
  • Undergraduate Mathematics and Statistics (with Intercalated Year) (GG17) - Year 4
  • Undergraduate Mathematics and Economics (GL11) - Year 3
  • Undergraduate Mathematics and Economics (with Intercalated Year) (GL12) - Year 4
  • Undergraduate Mathematics,Operational Research,Statistics and Economics (Y602) - Year 3
  • Undergraduate Mathematics,Operational Research,Statistics,Economics (with Intercalated Year) (Y603) - Year 4