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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.
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