# MA225 - Differentiation

**Module code:**MA225**Module name:**Differentiation**Department:**Mathematics Institute**Credit:**12

Content and teaching | Assessment | Availability

## Module content and teaching

###### Principal aims

This module aims: 1. To extend the results on differentiation of functions of 1-variable to functions between higher dimensional linear spaces; 2. To develop the theory of the derivative as a linear map and study its relationship with partial derivatives; 3. To introduce the basic theory of normed vector spaces as needed for this theory and to provide a basis for later modules; 4. To show how different branches of mathematics, in this instance linear algebra and analysis, combine to give an aesthetically satisfying and powerful theory; 5. To encourage self-motivated study of mathematics.

###### Principal learning outcomes

At the end of this module the student should have a basic working knowledge of higher dimensional calculus. The student should understand this in the context of normed spaces and appreciate the role this level of abstraction plays in the theory. They should understand basic linear analysis to the extent of being able to follow it up in the relevant third year modules. They should also be in a position to make use of more advanced textbooks if they wish to go further into these theories.

###### Departmental link

http://go.warwick.ac.uk/MA225/

## Module assessment

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

12 CATS (Module code: MA225-12) | ||

D (Assessed/examined work) | Assignments | 15% |

2 hour examination (Summer) | 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 3

###### Optional Core

- Undergraduate Mathematics and Philosophy with Specialism in Logic and Foundations (GV19) - Year 2

###### Optional

- Undergraduate Mathematics and Physics (BSc MMathPhys) (FG33) - Year 2
- Undergraduate Mathematics and Physics (BSc MMathPhys) (FG33) - Year 3
- 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 Discrete Mathematics (G4G3) - Year 2
- Undergraduate Mathematics and Physics (BSc) (GF13) - Year 2
- 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 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