2011/12 Undergraduate Module Catalogue

MATH0370 Introduction to Applied Mathematics 2

10 Credits Class Size: 190

Module manager: Dr T Wagenknecht
Email: thomas@maths.leeds.ac.uk

Taught: Semester 2 (Jan to Jun) View Timetable

Year running 2011/12

Pre-requisite qualifications

(MATH0111 or MATH0131) and MATH0360

Co-requisites

MATH0212 Elementary Integral Calculus (Version 1)

Mutually Exclusive

LUBS1240 Maths&Stats For Bus&Ec 1

This module is approved as an Elective

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
Example Class 10 1 10
Lecture 22 1 22
Private study hours 68
Total Contact hours 32
Total hours (100hr per 10 credits) 100

Opportunities for Formative Feedback

Regular problem solving assignments

Methods of Assessment

Coursework
Assessment type Notes % of formal assessment
In-course Assessment . 15
Total percentage (Assessment Coursework) 15

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) 2.0 Hrs 0 Mins 85
Total percentage (Assessment Exams) 85

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 website

Last updated: 2/27/2012

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