Department Of Mathematics/A.Y. 2019-20
Research Methodology 2019-20
Vinayak Joshi

Research Methodology 2019-20

M. Phil. and Ph. D. Course

Fractional Calculus and Fractional Differential Equations
Varsha Gejji

Fractional Calculus and Fractional Differential Equations

 M Phil/ Ph D Course

This course gives introduction to  Fractional Calculus and Fractional Differential Equations.

Number Theory
Yashvant BorseVinayak Joshi

Number Theory

This is an introductory course on Number Theory at PG Level.

Complex  Analysis
Yashvant BorseVinayak Joshi

Complex Analysis

This is a basic course on Complex Analysis designed for students of M.Sc. I, Department of Mathematics, SPPU.  In this course we study mainly Analytic functions, Complex Integration, Singularities, Maximum modulus theorem. Reference books: (i) Functions of one complex variable by J. B, Conway (ii) Complex Variables with Applications by Ponnusamy and Silverman.

Spectral Graph Theory
Ganesh Kadu

Spectral Graph Theory

One of the aims of this course to study applications of linear algebraic methods in graph theory. Spectral values associated to adjacency operators on graphs will be studied in detail.

MT 17-Banach Algebra
Dr. SACHIN BALLAL

MT 17-Banach Algebra

This is an introduction to Banach Algebra. 

Topics to be discussed are Banach Algebra: Definition and examples, Homeomorphism, Isometries, Ideals, Invertibility, Resolvent and Spectrum, Gelfand Theorem for commutative Banach algebra, Semisimple Banach algebra, Spectral Radius formula, Topological divisors of zero, Gelfand-Naimark theorem, C*-algebra. 

Algebraic Geometry
Ganesh Kadu

Algebraic Geometry

 Groebner bases form a basis of wide range of  computational techniques in Commutative Algebra and Algebraic Geometry. In the second part of the curse we study Invariant Theory of Finite Groups and its connections to Geometry.

Commutative Algebra

Commutative Algebra

In this course, we study Commutative Algebra from M. F. Atiyah and I. G. Macdonald's Introduction to commutative algebra.

Test - Moodle Course
Vinayak Joshi

Test - Moodle Course

Created as an exercise.

MT-201 Functional Analysis
Dr. SACHIN BALLAL

MT-201 Functional Analysis

This is an introduction to Functional Analysis. 

Topics to be discussed are Normed linear spaces and continuity of linear maps, linear functionals and Hahn Banach theorems, Banach spaces, Uniform boundedness principle, Closed graph and Open mapping theorems, Bounded Inverse theorem, Hilbert spaces, Orthonormal sets, projections and Riesz representation theorem.

MT-403: Software Engineering
NITIN PATIL

MT-403: Software Engineering

Each student wishes to do this course should complete the online course from the link below.

https://in.udacity.com/course/writing-readmes--ud777

Holidays for University Department Jan-2020 to Dec-2020 (Click Here)