PHE503 - Physics of Contemporary Issues

The Advanced Studies I covers two units.

Unit I is on Conservation Laws and Constrain Interactions in Mechanics, Dynamics, and Thermodynamics. It aims to develop a deeper understanding on how the three conservation laws of physics constrain the behavior of isolated system of object in spite of their detailed characteristics of their interactions.

Unit II is on the Universality of Physical Laws in Mechanics, Dynamics, Relativity and Astronomy. It aims to develop a deeper understanding of how interactions affect the motion of an individual object. Mathematical Physics is across both the Units.

The study of these two units in turn will help them to apply basic principles involved and knowledge of mathematics to solve real life problems and exploit the full scope of physics applications in Mechanics, Dynamics, Thermodynamics, Relativity and astronomy. It will also enhance effective Physics teaching and learning in secondary schools.

MAE503 - Mathematics of Contemporary Issues

General Objective

The aim of the module is to explore how mathematics knowledge is applied in understanding the emerging contemporary ( modern, current, up to date, existing,….)  issues in the real world.  The students will generate models and simulations to describe the natural phenomenon in the real world. The students will apply mathematical models to make predictions and solve problems of contemporary issues on waste management and pollution, natural disaster and loss of biodiversity.

Learning Outcomes

On completion of the module, students will be able to:

i.        discuss mathematics of contemporary issues on waste management and pollution, natural disaster and loss of biodiversity;

ii.        elucidate the contributions of Mathematics to scientific research in solving the real problems of the world;

iii.        design a poster to illustrates how the  mathematical model/simulation are used in solving the contemporary issues;

iv.        use several types of functions and representations of functions in order to describe the phenomena in Mathematics modeling process;

v.        generate potential equation and solution to the contemporary issues by using mathematical knowledge of  calculus and algebra in the modeling process;

vi.        carry out a project on construction of  a simple mathematical model and apply the mathematics  model for both numerical predictions and qualitative behavior analysis;

vii.        compare the mathematical models by using differential and differences equations from calculus to study of population growth of species;

viii.        review mathematical and theoretical models developed for explaining the emergence and the maintenance of biological diversity;

ix.        apply mathematical models to make predictions and solve problems related to natural disasters; and

x.        develop creative and manipulative skills in solving problems of contemporary issues.