Vector calculus, or vector analysis, is concerned with differentiation and integration of vector fields, primarily in 3-dimensional Euclidean space 

Abstract algebra is a course on algebraic structures.  The three basic structures considered are groupsrings and fields.

Module-1 

Binary operations, Isomorphic binary structures, Groups , Subgroups

Module-2

Cyclic groups, Groups and permutations, Orbits, Cycles, Alternating groups

Module-3

Cosets and Theorem of Lagrange, Homomorphisms

Module-4

Rings and Fields, Integral Domains, The Field of Quotients of an integral domain.

Functions of two or more independent variables appears more often in science than functions of single variable.