# ESSENTIAL MATHEMATICS - 2023/4

Module code: PHY1034

## Module Overview

This module is designed to provide essential underpinning skills for the whole programme in the mathematics needed by physical scientists. The mathematics units of assessment are delivered on a supervised self-study basis - to allow flexible learning patterns to students with different mathematics skills and knowledge levels at University entry. The delivery method is by supported workshop classes and occasional lectures to introduce new topics, as required. The Essential Mathematics module consolidates and enhances mathematical skills to beyond (A2) Advanced Level standard, providing the mathematical foundations needed for subsequent Level FHEQ 4 Mathematics components and for the introductory Physics modules at Level FHEQ 4.

### Module provider

Mathematics & Physics

### Module Leader

GINOSSAR Eran (Maths & Phys)

### Number of Credits: 15

### ECTS Credits: 7.5

### Framework: FHEQ Level 4

### JACs code: G100

### Module cap (Maximum number of students): N/A

## Overall student workload

Independent Learning Hours: 74

Lecture Hours: 22

Tutorial Hours: 22

Guided Learning: 10

Captured Content: 22

## Module Availability

Semester 1

## Prerequisites / Co-requisites

None.

## Module content

Indicative content includes:

__Mathematics units__:

Finite and infinite series

Introduction to calculus: limits, continuity, differentiability, asymptotes, Taylor series

Analysis – elements of differentiation, integration function investigation

Introducing complex numbers representation

Complex algebra and Demoivre's theorem

Matrices

Determinants and their properties

Vector spaces (linear independence, basis, dimensions)

Linear transformations (representations as matrices)

- Orthogonality

## Assessment pattern

Assessment type | Unit of assessment | Weighting |
---|---|---|

Online Scheduled Summative Class Test | WEEKLY TAKE HOME QUIZZES | 40 |

Examination Online | End of Semester Examination - 2 hours | 60 |

## Alternative Assessment

None.

## Assessment Strategy

The __assessment strategy __is designed to provide students with the opportunity to demonstrate:

recall of subject knowledge

ability to apply mathematical knowledge to unseen problems of a nature similar to those studied inclass

ability to interpret and write short computer programs

Thus, the

__summative assessment__for this module consists of:

five take home online quizzes.

one final mathematics online exam of 2 hours duration.

__Formative assessment and feedback__

The supervised sessions involve academics and postgraduate demonstrators who engage with the students on a one-to-one basis in a classroom-like setting to provide verbal feedback. There will be weekly formative Mathematics tests (quizzes) on SurreyLearn with instant results available to the student.

## Module aims

- To provide the background knowledge and practice and to build greater confidence in the language, notation and use of underpinning mathematical skills to a beyond Advanced level (A2) standard in algebra, functions, real and complex numbers, and differential and integral calculus.

## Learning outcomes

Attributes Developed | ||

002 | Consistently apply mathematical methods and techniques introduced at A-level, especially integration and differentiation, and understand and make first applications of complex numbers and concepts and properties of series. | KCT |

001 | KCT |

Attributes Developed

**C** - Cognitive/analytical

**K** - Subject knowledge

**T** - Transferable skills

**P** - Professional/Practical skills

## Methods of Teaching / Learning

The __learning and teaching __strategy is designed to:

equip students with subject knowledge

develop skills in applying subject knowledge to physical situations

provide a basis in mathematics that can be used as a basis for deeper understanding of physics, and for further study of mathematics

The

__learning and teaching__methods include:

44h of combined lectures and tutorials as 4h/week x 11 weeks. In addition to lectures, tutorials will take place introducing, commenting and advising the students on the different topics according to the order above in 'Module contents'. Formative feedback is provided via tutorial questions which can be attempted.

Indicated Lecture Hours (which may also include seminars, tutorials, workshops and other contact time) are approximate and may include in-class tests where one or more of these are an assessment on the module. In-class tests are scheduled/organised separately to taught content and will be published on to student personal timetables, where they apply to taken modules, as soon as they are finalised by central administration. This will usually be after the initial publication of the teaching timetable for the relevant semester.

## Reading list

https://readinglists.surrey.ac.uk

Upon accessing the reading list, please search for the module using the module code: **PHY1034**

## Programmes this module appears in

Programme | Semester | Classification | Qualifying conditions |
---|---|---|---|

Physics with Nuclear Astrophysics MPhys | 1 | Compulsory | A weighted aggregate mark of 40% is required to pass the module |

Physics with Astronomy MPhys | 1 | Compulsory | A weighted aggregate mark of 40% is required to pass the module |

Physics with Quantum Technologies MPhys | 1 | Compulsory | A weighted aggregate mark of 40% is required to pass the module |

Physics MPhys | 1 | Compulsory | A weighted aggregate mark of 40% is required to pass the module |

Physics BSc (Hons) | 1 | Compulsory | A weighted aggregate mark of 40% is required to pass the module |

Physics with Astronomy BSc (Hons) | 1 | Compulsory | A weighted aggregate mark of 40% is required to pass the module |

Physics with Quantum Technologies BSc (Hons) | 1 | Compulsory | A weighted aggregate mark of 40% is required to pass the module |

Physics with Nuclear Astrophysics BSc (Hons) | 1 | Compulsory | A weighted aggregate mark of 40% is required to pass the module |

Please note that the information detailed within this record is accurate at the time of publishing and may be subject to change. This record contains information for the most up to date version of the programme / module for the 2023/4 academic year.