## MATH0360 Introduction to Applied Mathematics 1

### 10 creditsClass Size: 175

Module manager: Professor Daniel Lesnic
Email: d.lesnic@leeds.ac.uk

Taught: Semester 1 (Sep to Jan) View Timetable

Year running 2022/23

### Pre-requisite qualifications

GCSE Mathematics, or equivalent.

### 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

A basic Applied Maths course for students who have not done A-level Mathematics.This is an introductory course in mechanics which explains how to describe the forces and bending moments in simple structures using the techniques of vectors. An elementary background in mathematics is required to take this course but no previous knowledge of mechanics will be assumed. The emphasis in teaching this course is on solving examples rather than on the theory.

### Objectives

To introduce the concepts of forces and couples as vectors, the techniques of resolving forces and taking moments about a given axis, methods of reduction of a system of planar forces to a force and a couple.

On completion of this module, students should be able to:
(a) work comfortably with vectors using vector algebra
(b) calculate equations of lines and use them eg to find points of intersection
(c) solve simple problems in statics using moments, forces, conditions of equilibrium and centre of mass.

### Syllabus

- Vector algebra
- Parallelogram law of addition, unit vectors i, j, k, components, unit vectors and direction cosines
- Scalar and vector products with applications to the geometry of straight lines
- Notion of force, gravitation and weight
- Composition and resolution of forces at a point
- Moment of a force, couple
- Reduction of a force system to single force and couple
- Equilibrium of bodies acted on by system of forces
- Centre of mass.

### 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 coursework 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 Standard exam (closed essays, MCQs etc) 2 hr 85.00 Total percentage (Assessment Exams) 85.00

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