This course aims at providing an introduction to the basic theory of algebraic geometry.

Part 1:
We will talk about the (semi)classical setting of algebraic varieties. We will introduce basic notion of this part in the style of J.-P. Serre's "Faisceaux algebriques coherents." On the other hand, we will have discussions on concrete examples, such as varieties in affine spaces or in projective spaces. The goal of this part is to have the audience get acquainted with the language of sheaves and learn to practical manipulation.

Part 2:
This part will focus on the basic theory of schemes. The audience will find the role commutative algebra plays. Notions related to schemes and necessary facts in commutative algebra will appear alternating with each other.

Part 3:
This part will first introduce the general cohomological theory in terms of derived functors. Then the general theory will be applied to the case of coherent sheaves on schemes to obtain several fundamental results in algebraic geometry.