Justin Shaw, Pure Mathematics Department, University of Waterloo
“Invariant Vector Calculus 1”
In this first talk we discuss the material typically covered in a first course of vector calculus, showing how the notation and results from standard vector calculus can be interpreted in terms familiar to those who have studied some differential geometry. This series of talks should also give those who are only familiar with the theoretical side of differential geometry a better understanding of how to calculate standard integrals, and an appreciation of the physical interpretations behind many of the definitions in differential geometry.