Examination Centers

Pune, Nasik and Ahmednagar.

Model of Question paper

 M.Sc. Tech :(Industrial Mathematics with Computer Applications)

Nature of Questions

Objective-Type & Subjective-Type

 

Number and Names of sections in question paper

Section I - 25 Objective Questions
Section II - 10 Subjective Questions
 

 

Section wise weightage of marks

Section I - 50, Section II - 50

 

Marks per question

Section I - 2 mks, Section II - 5 mks
 

 

Total Marks

 100  Marks.

 

Passing criteria

Relative Ranking

 

Syllabus

Mathematics upto T.Y.B.Sc. :

a. Real Analysis:-
 Sequence, Series, Continuity, Differentiability, Connected Sets, Compact Sets.

b. Basic Group Theory:- Lagrange's Theorem, Permutation Groups, Normal Subgroups, Quotient Groups.

c. Complex Analysis:- Complex Numbers, Analytic Functions, Properties of Cauchys Theorem & Cauchys Integral Formula, Liouvilles Theorem, Fundamental Theorem of Algebra.

d. Differential Equations:- Linear Diff. Equations with constant Coefficient, with Variable Coefficients.

e. Linear Algebra:- :-
Vector Spaces, Basis, Quotient Spaces, Linear Transforms, Matrics Algebra, Eigenvalues & Eigenvectors , Diagonalization, Caley Hamilton Theorem.