Skip to main content

MA251 - Algebra I: Advanced Linear Algebra

  • Module code: MA251
  • Module name: Algebra I: Advanced Linear Algebra
  • Department: Mathematics Institute
  • Credit: 12

Content and teaching | Assessment | Availability

Module content and teaching

Principal aims

To develop further and to continue the study of linear algebra, which was begun in Year 1; To point out and briefly discuss applications of the techniques developed to other branches of mathematics, physics, etc.

Principal learning outcomes

By the end of the module students should be familiar with: the theory and computation of the the Jordan canonical form of matrices and linear maps; bilinear forms, quadratic forms, and choosing canonical bases for these; the theory and computation of the Smith normal form for matrices over the integers, and its application to finitely generated abelian groups.

Departmental link

http://go.warwick.ac.uk/MA251/

Other essential notes

Prerequisites: MA106 Linear Algebra and MA132 Foundations.

Module assessment

Assessment group Assessment name Percentage
12 CATS (Module code: MA251-12)
D (Assessed/examined work) Assignments (Maths students only) 15%
  2 hour examination (Maths students only) 85%
D1 (Assessed/examined work) Assignments (non-Maths students) 15%
  2 hour examination (non-Maths students) 85%

Module availability

This module is available on the following courses:

Core
  • Undergraduate Mathematics (BSc) (G100) - Year 2
  • Undergraduate Mathematics with Intercalated Year (G101) - Year 2
  • Undergraduate Mathematics (MMath) (G103) - Year 2
  • Undergraduate Master of Mathematics (with Intercalated Year) (G105) - Year 2
  • Undergraduate Mathematics (MMath) with Study in Europe (G106) - Year 2
  • Undergraduate Mathematics and Business Studies (with Intercalated Year) (G1N2) - Year 2
  • Undergraduate Mathematics and Business Studies (G1NC) - Year 2
  • Undergraduate Mathematics and Economics (GL11) - Year 2
  • Undergraduate Mathematics and Economics (with Intercalated Year) (GL12) - Year 2
  • Undergraduate Mathematics and Philosophy with Specialism in Logic and Foundations (GV19) - Year 2
Optional Core
  • Undergraduate Mathematics and Philosophy (GV17) - Year 2
  • Undergraduate Mathematics and Philosophy with Intercalated Year (GV18) - Year 2
Optional
  • Undergraduate Mathematics and Physics (MMathPhys) (FG31) - Year 2
  • Undergraduate Mathematics and Physics (BSc MMathPhys) (FG33) - Year 2
  • Undergraduate Mathematics and Statistics (BSc MMathStat) (G1G3) - Year 2
  • Undergraduate Mathematics and Statistics (BSc MMathStat) (G1G3) - Year 3
  • Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (G300) - 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 2
  • Undergraduate Mathematics and Physics (BSc) (GF13) - Year 2
  • Undergraduate Mathematics and Statistics (BSc) (GG14) - Year 2
  • Undergraduate Mathematics and Statistics (BSc) (GG14) - Year 3
  • Undergraduate Mathematics and Statistics (with Intercalated Year) (GG17) - Year 4
  • Undergraduate Mathematics,Operational Research,Statistics and Economics (Y602) - Year 2
  • Undergraduate Mathematics,Operational Research,Statistics and Economics (Y602) - Year 3
  • Undergraduate Mathematics,Operational Research,Statistics,Economics (with Intercalated Year) (Y603) - Year 4