Algebra

Candidates can check the space below to know about the syllabus of PUCAT mathematics algebra section:
Groups, subgroups, Abelian groups, non-abelian groups, cyclic groups, permutation groups; Normal subgroups, Lagrange's Theorem for finite groups, group homomorphism and quotient groups, Rings, Subrings, Ideal, Prime ideal; Maximal ideals; Fields, quotient field. Vector spaces, Linear dependence and Independence of vectors, basis, dimension, linear transformations, matrix representation with respect to an ordered basis, Range space and null space, rank-nullity theorem; Rank and inverse of a matrix, determinant, solutions of systems of linear equations, consistency conditions. Eigenvalues and eigenvectors. Cayley-Hamilton theorem. Symmetric, Skew symmetric, Hermitian, Skew-Hermitian, Orthogonal and Unitary matrices.

The following is the SAT syllabus for Algebra, tested in the Maths section:

• Linear equations in one variable
• Linear equations in two variables
• Linear functions
• Systems of two linear equations in two variables
• Linear inequalities in one or two variables

Moreover, Algebra measures the student's ability to analyse, fluency in solving, and creating linear equations as well as analse and solve equations easily along with the equation system using various techniques. Thus, the syllabus for Math's Algebra section is the most complicated and hence, applicants must prepare for this section with thoroughness and also with a lot of practice as well.