Boosting vector calculus with the graphical notation

Learning vector calculus techniques is one of the major hurdles faced by physics undergraduates. However, beginners report various difficulties dealing with index notation due to its bulkiness. Meanwhile, there have been graphical notations for tensor algebra that are intuitive and effective in calculations can serve as a quick mnemonic algebraic identities. Although they introduced applied educational context, best our knowledge, no publications employ three-dimensional Euclidean calculus, involving differentiation integration fields. Aiming students educators, we introduce such “graphical calculus,” demonstrate pedagogical advantages, provide variety exercises containing both purely mathematical identities practical physics. The readily be utilized environment not only lower barriers learning practicing but also make interested self-motivated manipulate syntax and, on their own, heuristically comprehend language tensors.