Matrices and their operations. Types of matrices. Elementary transformations. Linear systems of equations. Determinants, elementary properties. Inverse of a matrix. Vector spaces, linear…
Numerical sequences and series; double integrals and their applications; triple integrals and their applications; vector fields, line and surface integrals, Green's theorem, the divergence…
Group actions; Nilpotent groups and solvable groups; Normal series and subnormal series; Semi direct products; Field extensions; Galois extensions, Normal extensions and separable extensions:…