Let $X$ be a compact topological space. There is an equivalence of categories between the category of finite rank vector bundles on $X$ and finitely generated projective $\mathcal{C}(X)$-modules. We are going to explore this relationship (including all necessary definitions) and maybe prove it. If there is enough time, we are also going to discuss the relationship between isomorphism classes of vector bundles on $X$ and homotopy classes of maps from $X$ into the Grassmannian.