B.Sc.MathematicsMaharshi Dayanand University
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Symmetric and Skew-symmetric matrices, Hermitian and skew-Hermitian matrices,
Orthogonal and Unitary matrices, Elementary operations on matrices. Inverse of a matrix.
Linear independence of row and column matrices. Row rank, column rank and rank of a matrix.
Equivalence of column and row ranks.
Differential and Integral Calculus
definition of the limit of a function. Basic properties of limits. Continuous functions
and classifications of discontinuities. Differentiability. Successive differentiation. Leibnitz
theorem. Maclaurin and Taylor series expansions.
Scalar and vector product of three vectors. Product of four vectors. Reciprocal Vectors.
Vector Differentiation. Scalar valued point functions. Vector valued point functions. Derivative
along a curve. Directional derivative.