2008/09 Undergraduate Module Catalogue
MATH0370 Introduction to Applied Mathematics 2
10 creditsClass Size: 250
Module manager: Professor S. Tobias
Email: smt@maths.leeds.ac.uk
Taught: Semester 2 (Jan to Jun) View Timetable
Year running 2008/09
Pre-requisites
MATH0111 | Elementary Differential Calculus (Version 1) |
MATH0360 | Introduction to Applied Mathematics 1 |
Co-requisites
MATH0212 | Elementary Integral Calculus (Version 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 | 11 | 1.00 | 11.00 |
Lecture | 22 | 1.00 | 22.00 |
Private study hours | 67.00 | ||
Total Contact hours | 33.00 | ||
Total hours (100hr per 10 credits) | 100.00 |
Methods of assessment
Coursework
Assessment type | Notes | % of formal assessment |
In-course Assessment | . | 15.00 |
Total percentage (Assessment Coursework) | 15.00 |
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 | 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: 31/03/2009
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