This is an introductory course regarding the advanced probability which includes the fundamental concepts and theory in the modern probablity such as law of large number, central limit theorm, martingale, etc. Students will learn to understand the fundamenal concepts and theory in the modern probabilty and use them to solve exercises and concrete examples

CILO-1: Apply fundamental concepts and theories from a selected area of advanced mathematics to analyse and solve related problems. CILO-2: Use the learnt theory and concepts to solve exercises and prove some basic theorems. CILO-3: Combine several learnt concepts and theorems to solve theoretical problems with a certain difficulty. CILO-4: Use the learnt theory to solve some basic real world problems.