A mathematical model is a description of a system using mathematical concepts and language. The process of developing a mathematical model is termed mathematical modelling. Mathematical models are used in the natural sciences (such as physics, biology, earth science, meteorology) and engineering disciplines (such as computer science, artificial intelligence), as well as in the social sciences (such as economics, psychology, sociology, political science). This course includes the following parts: introduction to mathematical modelling; application to modelling of calculus, algebraic analysis and linear programming, differential and difference equations, probability and statistics, and discrete and integrated models.
Learning Outcomes
By the end of the module students should be able to:
Learn to design, construct and refine mathematical models of situations in the physical sciences, the social sciences, finance, medicine or business. Apply their experience gained in using known mathematical methods in application to real-world cases.
Students will acquire knowledge of various mathematical concepts and modeling techniques required for successful application of mathematics.
Students will be able to model data using the language and techniques of mathematics.
Students will be able to understand and solve multidisciplinary application problems usingmathematical models.
Students will demonstrate a proficiency in using mathematical software.
Students will know how to use appropriate technology to solve problems involving mathematical models.
Students will demonstrate ability to cover a topic independently and present their results in an oral presentation as well as in a written report.
Assessment
Assessment Methods & Exceptions
Assignment: 2 or 4 reports and up to 1500 word for each report. Mid-term exam (20%): a maximum 3 hour examination. Final exam (60%): a maximum 3 hour examination.
Reassessment: 2 hour resit examination (100%), when allowed
