In this seminar, I will explain how to define the affine super Yangian $Y_{\epsilon_1, \epsilon_2} ( \widehat{gl} ( m | n ))$ and its coproduct. I will also show that there exists an evaluation map, that is, an algebra morphism from $Y_{\epsilon_1, \epsilon_2} ( \widehat{gl} ( m | n ))$ to the completion of the universal enveloping algebra of $\widehat{gl} ( m | n )$.