ADVANCED CALCULUS & GROUP THEORY

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.