I am looking for Karnataka State Open University (KSOU) Msc Mathematics program syllabus , so would you plz let me know from where I can collect it , will you plz provide me same here ??

[prince karak]

As you are asking for Karnataka State Open University (KSOU) Msc Mathematics program syllabus so on your demand I am providing same here :


Math 1.1: Algebra
Block E: Group Theory.
1. Groups - Lagrange‘s Theorem. homomorphisms and isomorphisms;
2. Normal subgroups and factor groups. the Fundamental theorem of
homomorphism. two laws of isomorphism, direct product of groups;
3. Permutation groups and Cayley’s theorem;
4. Conjugate classes. Sylow theorems.
Block H: Ring Theory.
l. Rings, integral domains and fields.v field of quotients;
2. Homomorphisms, ideals and quotient rings. prime and maximal ideals;
Factorization. Euclidean domains. principal ideal domains and unique
factorization domains:
4. Polynomial rings, roots of polynomials, factorization of polynomials.
irreducibility criterion.
Block Ill: Field Theory.
1. Vector spaces. subspaces, linear dependence and independence, basis and
dimension;
2. Field extensions: finite extensions. algebraic and transcendental extensions,
separable and inseparable extensions;
3‘ Normal extensions. Galois extensions. theorem on the primitive element. the
Fundamental theorem of Galois theory;
4. Finite fields, perfect and imperfect fields, geometric constructions

Karnataka State Open University (KSOU) Msc Mathematics program syllabus