To give basic introduction to Algebraic curves to the young researchers in India. We intend to cover the book on `Algebraic curves' by W. Fulton. More precisely, we cover the following topics; Affine Agebraic sets, Affine Varieties, Local Properties of Plane curves, Projective Varieties, Projective Plane curves, Varieties, Morphisms, and Rational Maps, Resolution of Singularities, Riemann-Roch Theorem, Riemann Hypothesis for curves over finite fields and Mordell-Weil Theorem for Elliptic Curves.