# 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 (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