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MA359 - Measure Theory

  • Module code: MA359
  • Module name: Measure Theory
  • Department: Mathematics Institute
  • Credit: 15

Content and teaching | Assessment | Availability

Module content and teaching

Principal aims

To introduce the concepts of measure and integral with respect to a measure and to discuss their basic properties, so as to provide a basis for further studies in Analysis, Probability, and Dynamical Systems.

Principal learning outcomes

To construct Lebesgue's measure on the real line; To construct the integral and discuss its basic properties; To explain the basic properties of measurable functions with emphasis on proofs by approximation.

Departmental link

http://go.warwick.ac.uk/MA359/

Other essential notes

Prerequisites: MA129 Foundations, MA222 Metric Spaces, MA244 Analysis III.

Module assessment

Assessment group Assessment name Percentage
15 CATS (Module code: MA359-15)
D (Assessed/examined work) Assessed Course Work 15%
Examination - April 85%

Module availability

This module is available on the following courses:

Core
  • Undergraduate Discrete Mathematics (G4G3) - Year 3
Optional Core
  • Undergraduate Mathematics and Statistics (BSc MMathStat) (G1G3) - Year 3
  • Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (G30A) - Year 3
  • Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (G30D) - Year 3
  • 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 (G30H) - Year 3
  • Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (with Intercalated (G30H) - Year 4
Optional
  • Undergraduate Mathematics and Physics (BSc MMathPhys) (FG33) - Year 3
  • Undergraduate Mathematics and Physics (BSc MMathPhys) (FG33) - Year 4
  • 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
  • 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 (BSc) (GF13) - 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