SGBAU M Sc Math Syllabus

What is the syllabus of M.Sc. Mathematics of SCBAU or Sant Gadge Baba Amravati University like as I want to have a look at it before taking admission in the course in the University?

[Kiran Chandar]

The syllabus of M.Sc. Mathematics of SCBAU or Sant Gadge Baba Amravati University is as follows:

Unit-I : valued function, rectifiable curves. The fundamental theorem of calculas, integral of Vectorproperties of the integral, Integration and differentiation. Definition and existance of Riemann Stieltjes integral,

Unit-II : limit theorem, Tauber’s first theorem. Power series, Uniqueness theorem for power series, Abel’s Rearrangement of terms of a series, Riemann’s theorem.

Unit-III : integration, uniform convergence and differentiation, convergence and continuity, uniform convergence and Dirichlet’s tests for uniform convergence, uniform uniform convergence, Weierstrass M-test, Abel’s and Sequences and uniform convergence, Cauchy criterion for

Unit-IV : derivatives in an open subset of R Functions of several variables, linear tranformation, n , Chain Rule, partial Derivatives of higher order, Taylor’s theorem. derivatives, interchange of order of differentiation.

Unit-V : multiplier method, Differentiation of integrals. Jacobians, Extremum problems with constraints, Lagranges Inverse function theorem. Implicite function theorem.

Syllabus of M.Sc. Mathematics - Sant Gadge Baba Amravati University