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MA3G1 - Theory of Partial Differential Equations

  • Module code: MA3G1
  • Module name: Theory of Partial Differential Equations
  • Department: Mathematics Institute
  • Credit: 15

Content and teaching | Assessment | Availability

Module content and teaching

Principal aims

The aim of this course is to introduce students to general questions of existence, uniqueness and properties of solutions to partial differential equations.

Principal learning outcomes

Students who have successfully taken this module should be aware of several different types of pdes, have a knowledge of some of the methods that are used for discussing existence and uniqueness of solutions to the Dirichlet problem for the Laplacian, have a knowledge of properties of harmonic functions, have a rudimentary knowledge (including energy estimates) of solutions of parabolic equations in arbitrary dimensions.

Departmental link

http://go.warwick.ac.uk/MA3G1/

Other essential notes

Prerequisites: This module uses material from many of the Core 1st and 2nd year modules, particularly MA231 Vector Analysis, MA244 Analysis III and MA250 Partial Differential Equations. A student taking this module will benefit from having taken MA222 Metric Spaces but this not a formal prerequisite.

Module assessment

Assessment group Assessment name Percentage
15 CATS (Module code: MA3G1-15)
B (Examination only) Examination - Main Summer Exam Period (weeks 4-9) 100%

Module availability

This module is available on the following courses:

Core

N/A

Optional Core

N/A

Optional
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  • 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
  • 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 (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