Calculus I (2018)

We will learn the concepts and operations of differentiation and integration of functions of single variable, as well as the crucial fundamental theorem of calculus. In terms of differentiation, we cover the concept of limit, continuity, differentiation, and solve optimization problems. For integration, we cover the concept of integration, prove the fundamental theorem of calculus (differentiation and integration are indeed "inverse operations!"), learn techniques for integration, and solve basic ordinary differential equations.