MATH2790 Modelling and Simulation
10 Credits Class Size: 200
Module manager: Dr C.A. Gill
Email: c.a.gill@leeds.ac.uk
Taught: Semester 2 (Jan to Jun) View Timetable
Year running
2007/08
Pre-requisites
| COMP1500 |
Mathematics for Computing 1 |
| MATH1840 |
Introduction to Statistical Modelling |
This module is not approved as an Elective
Objectives
On completion of this module, students should be able to:
a) Appreciate the role of deterministic and stochastic models in informatics;
b) Understand the purposes of simulation;
c) Model certain phenomena using differential equation;
d) Fit models using data.
Syllabus
Modelling of physical phenomena, and modelling of data.
1. What is a model? Stochastic and Deterministic Modelling;
2. Vectors (operations, including dot product), norm;
3. Matrices (operations, inverse including Gauss elimination);
4. Differentiation. Introduction to 1st order differential equations;
5. Applications: Carbon dating; population growth;
6. Fitting models - principle of least squares;
7. Modelling data empirically. Regression;
8. Simple comparison of approaches: deterministic vs stochastic;
9. Purposes of simulation;
10. Simulation summaries and diagnostics.
Teaching Methods
| Delivery type |
Number |
Length hours |
Student hours |
| Lecture |
30 |
1 |
30 |
| Practical |
3 |
1 |
3 |
| Private study hours |
67 |
| Total Contact hours |
33 |
| Total hours (100hr per 10 credits) |
100 |
Private study
2 hours reading per lecture: 40 hours;
Example sheets: 15 hours;
Assessment: 15 hours;
Exam revision: 7 hours.
Opportunities for Formative Feedback
Example sheets and computer practicals.
Methods of Assessment
Coursework
| Assessment type |
Notes |
% of formal assessment |
| In-course Assessment |
. |
25 |
| Total percentage (Assessment Coursework) |
25 |
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 Mins |
75 |
| Total percentage (Assessment Exams) |
75 |
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: 4/1/2008
Errors, omissions, failed links etc should be notified to the Catalogue Team