# 2021/22 Undergraduate Module Catalogue

## XJFY0310 Mathematics 2

### 15 creditsClass Size: 330

**Module manager:** Professor Rainer Hollerbach**Email:** r.hollerback@leeds.ac.uk

**Taught:** Semester 2 (Jan to Jun) View Timetable

**Year running** 2021/22

Module replaces

XJFY0370 Mathematics 2**This module is not approved as a discovery module**

### Objectives

- To review particular mathematics topics and relate them to the Engineering disciplines;- To further develop an understanding of Vectors and Linear Algebra as aspects of mathematics which are relevant to Engineering;

- To build confidence in presenting mathematics solutions in English.

**Learning outcomes**

- An understanding of aspects of mathematics which are most relevant to Engineering, in particular vectors and linear algebra;

- Ability to understand mathematics problems presented in English;

- Ability to present mathematics solutions in English.

### Syllabus

- A review of algebra, trigonometry, complex numbers, exponents and logarithms.

Vectors:

- Definition in terms of quantities having magnitude and direction;

- Basic manipulations including vector addition, scalar multiplication, etc;

- Unit vectors i, j, k, decomposition into components;

- Dot and cross products, and applications to geometry of lines and planes.

Linear Algebra:

- Systematic solution of simultaneous equation;

- Definitions of matrices and matrix multiplication;

- Applications of matrices to coordinate transformations, rotations, reflections.

### Teaching methods

Delivery type | Number | Length hours | Student hours |

Lecture | 48 | 1.00 | 48.00 |

Independent online learning hours | 32.00 | ||

Private study hours | 70.00 | ||

Total Contact hours | 48.00 | ||

Total hours (100hr per 10 credits) | 150.00 |

### Private study

Independent Online Learning activities will include reviewing lecture notes and other material on the VLE. Typically recommended 2 hrs reviewing online material per teaching week.Private study tasks relate to the content of the course including background reading such as text books and worksheets, and also the preparation of any assessed pieces of work.

Please note: all delivery types and number of hours are subject to variation, depending on immediate delivery needs. An 'hour' refers to one session in the timetable which is approximately 45 minutes long.

### Opportunities for Formative Feedback

Worked examples.### Methods of assessment

**Coursework**

Assessment type | Notes | % of formal assessment |

In-course Assessment | Mid-Semester Test | 25.00 |

Total percentage (Assessment Coursework) | 25.00 |

Normally resits will be assessed by the same methodology as the first attempt, unless otherwise stated

**Exams**

Exam type | Exam duration | % of formal assessment |

Standard exam (closed essays, MCQs etc) | 2 hr 00 mins | 75.00 |

Total percentage (Assessment Exams) | 75.00 |

Normally resits will be assessed by the same methodology as the first attempt, unless otherwise stated

### Reading list

The reading list is available from the Library websiteLast updated: 06/09/2021 14:56:05

## Browse Other Catalogues

- Undergraduate module catalogue
- Taught Postgraduate module catalogue
- Undergraduate programme catalogue
- Taught Postgraduate programme catalogue

Errors, omissions, failed links etc should be notified to the Catalogue Team.PROD