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2007/08 Undergraduate Module Catalogue
MATH2790 Modelling and Simulation
10 creditsClass 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 | 1.00 | 30.00 |
| Practical | 3 | 1.00 | 3.00 |
| Private study hours | 67.00 | ||
| Total Contact hours | 33.00 | ||
| Total hours (100hr per 10 credits) | 100.00 | ||
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 | . | 25.00 |
| Total percentage (Assessment Coursework) | 25.00 | |
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 | 75.00 |
| Total percentage (Assessment Exams) | 75.00 | |
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: 01/04/2008
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