Semester -2

This course is designed to provide students with a deeper understanding of calculus and linear algebra concepts. The course begins with
"Partial Differentiation", covering partial derivatives, the chain
rule, and the analysis of extreme values and saddle points. It then
progresses into "Integral Calculus," focusing on definite integrals,
double integrals, integration methods, and the fundamental theorem of calculus.
The course further explores "Matrices", where students delve into
linear systems, coefficient matrices, augmented matrices, and matrix operations such as Gauss elimination and back substitution.
Elementary row operations, row-equivalent systems, and the various cases of systems in Gauss elimination are covered, leading to
the understanding of row echelon form and its implications.
The final segment of the course introduces "Graph Theory," covering foundational definitions and examples. Topics include connectedness, adjacency, subgraphs, matrix representations, null
graphs, complete graphs, cyclic graphs, path graphs, wheels, regular graphs, bipartite graphs, and the complement of a simple graph