MASTER OF SCIENCE(MATHEMATICS)

MMCP101 ADVANCED ABSTRACT ALGEBRA
MMCP102 REAL ANALYSIS
MMCP103 TOPOLOGY
MMCP104 COMPLEX ANALYSIS I
MMCP105 METHODS OF APPLIED MATHEMATICS I
MMCP201 ADVANCED ABSTRACT ALGEBRA
MMCP202 DIFFERENTIAL GEOMETRY
MMCP203 FUNCTIONAL ANALYSIS
MMCP204` COMPLEX ANALYSIS
MMCP205 GRAPH THEORY

METHODS OF APPLIED MATHEMATICS:

UNIT-I
Matrix Analysis: A review of characteristic and minimal equations of a matrix, Caley – Hamilton theorem.Trace of a matrix .Trace of AB =Trace of BA .Wielandts theorem viz,AB-BA=I has no solution .Inner product of two vectors. Length of a veotor, normal vectors .Orthogonal and unitary matrices. A matrix P is orthogonal (unitary)if and only if its columns are normal and orthogonal in pairs.Determination of orthogonal matrices.