This course is a further study based on the intermediate microeconomics theory. The goal of this course is to introduce you a more mathematical rigorous presentation of the basic concepts and theories in intermediate microeconomics. It mainly focuses on the comprehensive application of mathematical analysis tools and economic models to analyze some economic problems of the contemporary society, including choice and demand, production and supply, competitive markets, and market failure, social welfare functions, general equilibrium and optimization problems. Advanced Microeconomics theory is more mathematical rigorous than previous intermediate microeconomics course. It is quite necessary to equip yourself with enough mathematics tools and techniques.