MATH1006

MATH1006: Mathematical Modelling

Science and Engineering

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About this Unit

Mathematical Modelling is an introduction to mathematical modelling and optimisation that aims to enhance the student’s problem solving skills. This unit comprises three parts: Networks, Optimisation, and Combinatorics. Modern society is dominated by a system of networks for the transmission of information, the transportation of people and the distribution of goods and energy. Students will acquire skills in modelling a network with a graph; designing optimal networks (Kruskal’s algorithm); project networks (Critical path method); network routing (Dijkstra’s algorithm); and switching networks. In part two, students will discover that decision making using optimisation technology assures that the best possible outcome is achieved within the constraints applying to the system under investigation. Here, we will cover inventory models; and linear programming modelling including the use of computer packages for solving problems. Finally, Combinatorics is concerned with the study of arrangements, patterns, designs, etc. To do this, we will take a closer look at counting techniques; solution of linear equations; recurrence relations; and logic with application to circuit designs. Some applications will also be given.

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Unit Details

Credits25

Contact Hours4 Weekly

Result TypeGrade/Mark

AreaSchool of Electrical Engineering, Computing and Mathematical Sciences (EECMS) (1153)

Field of Education010101 Mathematics

Handbook View Official Handbook Page →

Tuition Pattern

Lecture1 x 2 hours weekly
Tutorial1 x 1 hour weekly
Workshop1 x 1 hour weekly

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