|

|
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. |
|