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Microeconomics I is the first part of the two-semester graduate-level course which provides a rigorous treatment of microeconomic theory and its applications. We first study the decisions of individual economic agents, beginning with the theory of consumer choice and the producer theory. We introduce the concept of duality and analyze it in the context of consumption and production decisions. Afterwards, we study decision-making under uncertainty and introduce the expected utility theory. We also discuss its critiques. The course proceeds with the study of competitive equilibrium and its welfare properties in a general equilibrium setting. Prerequisites: Intermediate Microeconomics, Calculus, Linear Algebra, Probability Theory.