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. 


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.


General Objective

The Advanced Studies module I will enable students to explore deeper into their subject through critical analysis, investigation and reflection. Further, it will provide opportunity for in-depth exploration of selected topics in the subject disciplines leading to content enhancement. Consequently, the module will facilitate demonstration of advanced knowledge level in their own subject disciplines. The outcome of the module will be delivered through two seminars within their subject groups. These seminars will provide the platform for sharing their learning to an appropriate audience. It will also provide the students context for gaining foundation knowledge and experiences essential to conducting research and scholarship through writing and presentation.


  • The module aims to provide students an in-depth theoretical knowledge underpinning development and learning processes of young learners. It will enhance overall understanding and appreciation of the influence of cognitive, social and emotional changes in the process of learning and teaching. Such insights and realizations from this module is intended to inspire students to practically apply to inform one’s professional practice, attitude and culture in meaningfully engaging the young minds in the schools.