# 2021/22 Undergraduate Module Catalogue

## XJFY0300 Mathematics 1

### 15 creditsClass Size: 330

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

**Taught:** Semester 1 (Sep to Jan) View Timetable

**Year running** 2021/22

Module replaces

XJFY0360 Mathematics 1**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 Derivatives, Integrals, and Series 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 derivatives, integrals and series.

- Ability to understand mathematics problems presented in English.

- Ability to present mathematics solutions in English.

### Syllabus

Derivatives:

- A definition of derivative as rate of change of a function

- Standard derivatives of powers, trig, exp and log functions

- Product rule, quotient rule, chain rule, implicit differentiation

- Basic applications including maxima and minima, related rates, etc.

Integrals:

- Definition as area under a curve, definite and indefinite integrals

- Fundamental theorem of calculus, integrals as anti-derivatives

- Methods of integration, including substitution, by parts, partial fractions

- Basic applications, including surface areas and volumes of revolution

Series:

- Sequences, Series and Taylor Series.

### 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 LearningIndependent 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

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 |

Problem Sheet | 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) (S2) | 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