# MA209 - Variational Principles

**Module code:**MA209**Module name:**Variational Principles**Department:**Mathematics Institute**Credit:**6

Content and teaching | Assessment | Availability

## Module content and teaching

###### Principal aims

To introduce the calculus of variations and to see how central it is to the formulation and understanding of physical laws.

###### Principal learning outcomes

To show you how to set up and solve minimisation problems with and without constraints, to derive Euler-Lagrange equations and to have you appreciate how the laws of mechanics fit into this framework.

###### Departmental link

http://go.warwick.ac.uk/MA209/

###### Other essential notes

Prerequisites: MA131B Analysis - Term 2, a module on differential equations and MA225 Differentiation is also helpful.

## Module assessment

Assessment group | Assessment name | Percentage |
---|---|---|

6 CATS (Module code: MA209-6) | ||

B (Examination only) | 1 hour examination (Summer) | 100% |

## Module availability

This module is available on the following courses:

###### Core

- Undergraduate Mathematics and Physics (MMathPhys) (FG31) - Year 2
- Undergraduate Mathematics and Physics (BSc MMathPhys) (FG33) - Year 2
- Undergraduate Mathematics and Physics (BSc) (GF13) - Year 2

###### Optional Core

- Undergraduate Mathematics and Philosophy (GV17) - Year 3
- Undergraduate Mathematics and Philosophy with Specialism in Logic and Foundations (GV19) - Year 4

###### Optional

- Undergraduate Mathematics (BSc) (G100) - Year 2
- Undergraduate Mathematics (BSc) (G100) - Year 3
- Undergraduate Mathematics with Intercalated Year (G101) - Year 2
- Undergraduate Mathematics with Intercalated Year (G101) - Year 4
- Undergraduate Mathematics (MMath) (G103) - Year 2
- Undergraduate Mathematics (MMath) (G103) - Year 3
- Undergraduate Master of Mathematics (with Intercalated Year) (G105) - Year 2
- Undergraduate Master of Mathematics (with Intercalated Year) (G105) - Year 3
- Undergraduate Master of Mathematics (with Intercalated Year) (G105) - Year 4
- Undergraduate Mathematics (MMath) with Study in Europe (G106) - Year 2
- Undergraduate Mathematics (MMath) with Study in Europe (G106) - Year 3
- Undergraduate Mathematics and Statistics (BSc MMathStat) (G1G3) - Year 2
- Undergraduate Mathematics and Statistics (BSc MMathStat) (G1G3) - Year 3
- Undergraduate Mathematics and Statistics (BSc MMathStat) (G1G3) - Year 4
- Undergraduate Mathematics and Business Studies (with Intercalated Year) (G1N2) - Year 2
- Undergraduate Mathematics and Business Studies (G1NC) - Year 2
- Undergraduate Master of Mathematics,Operational Research,Statistics and Economics (G300) - Year 2
- Undergraduate Discrete Mathematics (G4G1) - Year 2
- Undergraduate Discrete Mathematics (G4G3) - Year 2
- Undergraduate Mathematics and Statistics (BSc) (GG14) - Year 2
- Undergraduate Mathematics and Economics (GL11) - Year 2
- Undergraduate Mathematics and Economics (GL11) - Year 3
- Undergraduate Mathematics and Economics (with Intercalated Year) (GL12) - Year 2
- Undergraduate Mathematics and Economics (with Intercalated Year) (GL12) - Year 4
- Undergraduate Mathematics and Philosophy with Specialism in Logic and Foundations (GV19) - Year 3
- Undergraduate Mathematics,Operational Research,Statistics and Economics (Y602) - Year 2