Partial Differentiation. Power Series for functions of more than one variable. Surface and Volume integrals. Vector Fields - gradient, divergence, curl. Gauss's theorem. Stoke's theorem. Applications to Physics.
Paul C. Matthews, Vector Calculus Springer https://link.springer.com/book/10.1007/978-1-4471-0597-8
Mary Boas, Mathematical Methods in the Physical Sciences Wiley