# 2023/24 Undergraduate Module Catalogue

## MATH0370 Introduction to Applied Mathematics 2

### 10 creditsClass Size: 155

**Module manager:** Dr Adrian Martin**Email:** A.P.Martin@leeds.ac.uk

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

**Year running** 2023/24

### Pre-requisite qualifications

MATH0111 and MATH0360, or equivalent### Co-requisites

MATH0212 | Elementary Integral Calculus (Version 1) |

### This module is mutually exclusive with

LUBS1260 | Mathematics for Economics and Business 1 |

LUBS1270 | Statistics for Economics and Business 1 |

LUBS1280 | Mathematical Economics |

**This module is not approved as a discovery module**

### Module summary

Except on extremely large or on extremely small scales, all motion is governed by Newton's Laws, which give the relationship F = ma between force, mass and acceleration. Using many worked examples, we shall show how to apply these laws to simple models of the real world and we shall introduce the very fundamental and important concepts of linear momentum and energy.### Objectives

To develop a basic understanding of Newton's Laws and their applications in simple examples of dynamics, and to introduce the concepts of linear momentum and energy.On completion of this module, students should be able to:

(a) apply vector models, learnt in MATH 0360, to models of mechanical problems in both 1-D and 2-D motion;

(b) formulate and solve both static and dynamic problems of particle mechanics;

(c) solve problems based on Newton's Laws via principles of Work, Energy and Momentum.

### Syllabus

- Kinematics: 1-D motion with constant acceleration

- Time-dependent vectors and their differentiation and integration

- 2-D motion

- Relative velocity

- Projectiles

- Circular motion

- Kinetics: Forces

- Systems in equilibrium

- Forces and motion

- Newton's Laws

- Separated body diagrams

- Dynamic friction

- Horizontal and vertical circular motion

- Work and energy

- Conservative forces

- Conservation of energy

- Impulse and momentum

- Conservation of momentum

- Collisions.

### Teaching methods

Delivery type | Number | Length hours | Student hours |

Lecture | 33 | 1.00 | 33.00 |

Private study hours | 67.00 | ||

Total Contact hours | 33.00 | ||

Total hours (100hr per 10 credits) | 100.00 |

### Private study

Studying and revising of course material.Completing of assignments and assessments.

Example classes will be covered in the lectures.

### Opportunities for Formative Feedback

Regular problem solving assignments!!! In order to pass the module, students must pass the examination. !!!

### Methods of assessment

**Coursework**

Assessment type | Notes | % of formal assessment |

In-course Assessment | . | 15.00 |

Total percentage (Assessment Coursework) | 15.00 |

There is no resit available for the coursework component of this module. If the module is failed, the coursework mark will be carried forward and added to the resit exam mark with the same weighting as listed above.

**Exams**

Exam type | Exam duration | % of formal assessment |

Open Book exam | 2 hr 00 mins | 85.00 |

Total percentage (Assessment Exams) | 85.00 |

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: 18/01/2024

## 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