# MATHEMATICS II: ENGINEERING MATHEMATICS - 2020/1

Module code: EEE1032

## Module Overview

Expected prior learning**:** Learning equivalent to modules studied in Year 1, Semester 1.

Module purpose:** **The ability to use mathematics with confidence underpins a successful engineering degree. This module provides students with some of the basic understanding and skills in mathematics needed to follow a degree programme in modern engineering. The content is specifically related to topics associated with electronic engineering.

### Module provider

Electrical and Electronic Engineering

### Module Leader

SONG Yi-Zhe (Elec Elec En)

### 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: 112

Lecture Hours: 33

## Module Availability

Semester 2

## Prerequisites / Co-requisites

None.

## Module content

Indicative content includes the following.

__Part A – Signals__

Representation of signals in the time and frequency domains (Fourier series, signal spectra and bandwidth), discrete signals, signal power and energy, introduction to noise and S/N, the decibel scale. Applications in signal processing and communications.

Introduction to Fourier methods. Calculation of the Fourier series of a periodic function. Representation of a Fourier series in complex form. Introduction to the Fourier transform.

**[15 lectures]**

__Part B – Engineering Mechanics and Ordinary Differential Equations__

Motion in 3D: kinematics, forces, dynamics, Newton's laws, changes in momentum, equilibrium.

Work and power: conservative forces, kinetic energy, potential energy.

Rotational motion: kinematics, moments, dynamics, angular inertia and angular momentum, general equilibrium.

Classification of differential equations. First order differential equations with variables separable, and the use of an integrating factor. First and second order linear differential equations with constant coefficients (homogeneous and non-homogeneous where the RHS is an exponential, trigonometric or polynomial function).

**[15 lectures]**

## Assessment pattern

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

Coursework | TUTORIAL PEER ASSESSMENT SCHEME | 10 |

Examination | 2-HOUR, CLOSED-BOOK WRITTEN EXAMINATION | 90 |

## Alternative Assessment

A student required to resit the TPAS unit of assessment is required to re-submit written answers to all TPAS questions relevant to the module. This re-submission is assessed by the TPAS Coordinator on a pass-fail basis only.

## Assessment Strategy

The** assessment strategy** for this module is designed to provide students with the opportunity to demonstrate the learning outcomes. The exam will assess students’ knowledge and assimilation of the terminology, concepts and details of the mathematics relevant to first year Engineers in the fields of signals and mechanics.

Thus, the **summative assessment** for this module consists of the following.

· A two-hour, closed-book written examination (90%).

· Coursework assessed via the Year 1 Tutorial Peer Assessment System (TPAS) (10%)

There are THREE TPAS Cycles associated with this module. EACH Cycle involves:

· a take-away written assignment consisting of technical questions to be answered, with solutions submitted as coursework;

· an in-class assignment requiring a student to mark the script of a colleague.

In Semester 2, TPAS covers this module and module EEE1029. Thus, formally the two modules between them have six associated TPAS assignments. Marks are allocated on a "per question" basis and are amalgamated to give a "total for TPAS".

For exact TPAS submission dates, see the Departmental assessment calendar issued to you.

**Formative assessment and feedback**

Students will receive formative assessment / feedback in the following ways:

· During lectures, by informal question and answer sessions, multiple-choice diagnostic tests, and by discussing in-class exercises.

· By means of unassessed tutorial problem sheets (these will be discussed in the lectures, and selected answers/model solutions will be made available via SurreyLearn).

· Online tests in SurreyLearn.

· Via the Year 1 Tutorial Peer Assessment Scheme (three marked assignments), including discussion during tutorials (part summative and part formative assessment).

## Module aims

- This module introduces signals, mechanics, and ordinary differential equations, and aims to give students the knowledge to apply mathematics to practical engineering problems.

## Learning outcomes

Attributes Developed | ||

1 | Apply mathematics to the description of signals and related ideas. | |

2 | Use the concept of decibels. | |

3 | Calculate Fourier series and Fourier transforms of signals, and describe their significance. | |

4 | Apply mathematical methods to simple problems in mechanics. | |

5 | Solve simple differential equations and apply them to problems in mechanics. |

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 provide students with the knowledge and understanding defined in the module learning outcomes. Students will develop their cognitive skills by developing their ability to apply existing and new mathematical knowledge in new situations.

**Learning and teaching methods** include the following:

Lectures: 30 hours (3 hrs per week x 10 weeks), including in-class exercises and discussions

Tutorial Peer Assessment Scheme (1 hour tutorial per week x 11 weeks, shared with module EEE1029 Electronics II), together with guided answering of questions (6 hours)

Self-study and work on tutorial problem sheets (30 hours), including discussions during lectures.

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: **EEE1032**

## Other information

Prior understanding of mathematics topics required: EEE1031 or equivalent (algebra, functions, complex numbers, vectors, differentiation, integration).

## Programmes this module appears in

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

Electronic Engineering with Computer Systems BEng (Hons) | 2 | Compulsory | A weighted aggregate mark of 40% is required to pass the module |

Electronic Engineering BEng (Hons) | 2 | Compulsory | A weighted aggregate mark of 40% is required to pass the module |

Electrical and Electronic Engineering BEng (Hons) | 2 | Compulsory | A weighted aggregate mark of 40% is required to pass the module |

Electronic Engineering with Nanotechnology BEng (Hons) | 2 | Compulsory | A weighted aggregate mark of 40% is required to pass the module |

Electronic Engineering with Nanotechnology MEng | 2 | Compulsory | A weighted aggregate mark of 40% is required to pass the module |

Electronic Engineering with Space Systems BEng (Hons) | 2 | Compulsory | A weighted aggregate mark of 40% is required to pass the module |

Computer and Internet Engineering MEng | 2 | Compulsory | A weighted aggregate mark of 40% is required to pass the module |

Electronic Engineering with Space Systems MEng | 2 | Compulsory | A weighted aggregate mark of 40% is required to pass the module |

Electrical and Electronic Engineering MEng | 2 | Compulsory | A weighted aggregate mark of 40% is required to pass the module |

Electronic Engineering with Computer Systems MEng | 2 | Compulsory | A weighted aggregate mark of 40% is required to pass the module |

Electronic Engineering MEng | 2 | Compulsory | A weighted aggregate mark of 40% is required to pass the module |

Computer and Internet Engineering BEng (Hons) | 2 | 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 2020/1 academic year.