Module Catalogues, Xi'an Jiaotong-Liverpool University   
Module Code: MTH108
Module Title: Dynamic Modelling
Module Level: Level 1
Module Credits: 5.00
Academic Year: 2020/21
Semester: SEM2
Originating Department: Mathematical Sciences
Pre-requisites: MTH007MTH013
To help students develop a systematic approach to problem-solving.; To give students experience of working effectively in small groups. To develop students' written presentation skills.

To provide a further understanding of the techniques used in constructing, analyzing, evaluating and interpreting mathematical models. To do this in the context of population dynamics
Learning outcomes 
A. Analyse a simple problem and set about solving it.

B. Make wider use of basic mathematics.

C. Make simple mathematical models and critically evaluate the simplifying assumptions.

D. Use techniques from elementary differential equations in tackling problems in population dynamics.

E. Apply mathematical modelling methodology to problems in ecology and other settings.

F. Work effectively in collaboration with others.
Method of teaching and learning 
This module will be delivered by a combination of formal lectures, tutorials, and a couple of workshops. Students will be expected to attend formal lectures as well as to participate in supervised workshop.
Lectures will introduce students to the academic content and practical skills which are the subject of the module, while the workshops will allow students to practice those skills. Students will be expected to work in a small group on a particular problem that will be assessed by a submitted report.
Problem solving strategies. Team-work strategies.

Review of problem-specific mathematical techniques.

Critical evaluation of problem solutions and models.

Dimensional analysis, Difference and differential equations; Curve fitting;

Lectures: guidance on methods (as above) and feedback on previous work.

Workshops: 1 hour, work done in groups, same problem, outline solution submitted.

Problems: variety of types of problems in a variety of contexts drawn from a problem bank.

About population model:

Single species growth. Exponential and logistic models. Fishing’ models.

Two interacting species. Competition, predation, symbiosis. Phase plane. Equilibrium and linear stability theory. Limit cycles. Use Matlab ODE suit to solve and simulate population models.
Delivery Hours  
Lectures Seminars Tutorials Lab/Prcaticals Fieldwork / Placement Other(Private study) Total
Hours/Semester 39   13        98  150 


Sequence Method % of Final Mark
1 Final Exam 70.00
2 Class Test 10.00
3 Coursework 1 10.00
4 Coursework 2 10.00
901 Coursework 1(The First Sit Mark Will Be Carried Forward For Calculating The Resit Module Mark) 10.00
902 Coursework 2(The First Sit Mark Will Be Carried Forward For Calculating The Resit Module Mark) 10.00

Module Catalogue generated from SITS CUT-OFF: 6/4/2020 6:29:05 AM