Group : Definition of Group with example and properties, Sub-group, Cosets, Normal
Subgroup.
Unit II
Permutation groups, product of permutations, even and odd permutation. Cyclic group. Group homorphism and isomorphism. Fundamental theorem of homomorphism.
Unit III
Limit and continuity of function of two variables. Partial differentiation. Chain rule, Differential.
Unit IV
Jacobins, Homogeneous function, and Euler’s theorem, Maxima & Minima and Saddle point of function of two variables, Lagrange’s multiplier method.