Bhoj Virtual University Syllabus Msc Final Maths

I have lost the Msc Maths final year student of Bhoj Virtual University . Will you please provide the Bhoj Virtual University Msc Maths final year exam syllabus ? Also provide the previous Msc Maths final year exam question papers .

Hello sir, Im student of Bhoj Virtual University. Im doing Msc Final Maths. Im looking for syllabus. Is there any one can provide me Bhoj Virtual University Syllabus Msc Final Maths?

[pawan]

The Madhya Pradesh Bhoj Open University is a public university in Bhopal, Madhya Pradesh, India. The university provides higher education mainly through open and distance learning.

Master of Science in Mathematics is a postgraduate Mathematics course. Mathematics is the study of quantity, structure, space, and change.

Mathematicians seek out patterns and formulate new conjectures which resolve the truth or falsity of conjectures by mathematical proofs.

Bhoj Virtual University Syllabus Msc Final Maths:



Bhoj Virtual University Syllabus Msc Final Maths:

First Year

Advance Abstract Algebra
Real Analysis
Topology
Complex Analysis
Advance Discrete Mathematics

Second Year
Integration Theory & functional Analysis
Partial Differential Equations & Mechanics
Operation Research
Integral Transforms with Applications
Programming in C (Theory & Practical)

Bhoj Virtual University Syllabus Msc Final Maths:

Sem. I
A
Advanced Abstract Algebra
Unit I
Direct product of groups (External and Internal). Isomorphism theorems - Diamond isomorphism theorem, Butterfly Lemma, Conjugate classes, Sylows theorem, p-sylow theorem.

Commutators, Derived subgroups, Normal series and Solvable groups, Composition series, Refinement theorem and Jordan-Holder theorem for infinite groups.

Polynomial rings, Euclidean rings. Modules, Sub-modules, Quotient modules, Direct sums and Module Homomorphisms. Generation of modules, Cyclic modules.

Field theory - Extension fields, Algebraic and Transcendental extensions, Separable and inseparable extensions, Normal extensions. Splitting fields. Galois theory - the elements of Galois theory, Fundamental theorem of Galois theory

Galois theory - the elements of Galois theory, Fundamental theorem of Galois theory, Solvalibility by radicals.

Sem. I
B
Real Analysis
Algebra and algebras of sets, Algebras generated by a class of subsets, Borel sets, Lebesgue measure of sets of real numbers, Measurability and Measure of a set, Existence of Non-measurable sets, Measurable functions. Realization of nonnegative measurable function as limit of an increasing sequence of simple functions.

Realization of non-negative measurable function as limit of an increasing sequence of simple functions. Structure of measurable functions, Convergence in measure, Egoroff's theorem.

Weierstrass's theorem on the approximation of continuous function by polynomials, Lebesgue integral of bounded measurable functions, Lebesgue theorem on the passage to the limit under the integral sign for bounded measurable functions.

Summable functions, Space of square summable functions. Fourier series and coefficients, Parseval's identity, Riesz-Fisher Theorem.Lebesgue integration on R2.

Lebesgue integration on R2, Fubini's theorem. Lp-spaces, Holder-Minkowski inequalities. Completeness of Lp-spaces.