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| Academics
>> Science >> Mathematics |
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| Department
of Mathematics
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| F.Y.B.Sc.
(Click to see the pdf)
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| Title
of Paper |
Topics
in Paper |
Paper
I
Differential Equations and calculus |
Differential
Equations, Real Numbers, Sequences, Functions and graphs,
continuity, differentiability and applications. |
Paper
II
Discrete Mathematics |
Sets,
functions, Integers, counting principles, complex numbers,
polynomials. |
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| S.Y.
B.Sc.
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| Title
of Paper |
Topics
in Paper |
Paper
I
Calculus and analysis |
The
Real Line, Sequences, Infinite series, continuity, Integration,
and applications, improper integrals. |
Paper
II
Linear algebra |
Vectors
in IR, linear equations, matrices, vector spaces over
IR, linear, transformations, determinants. |
Paper
III
Computational Mathematics |
Algorithms,
Graphs and trees, Numerical methods. |
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| T.Y.
B.Sc.
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| Title
of Paper |
Topics
in Paper |
Paper
I
Multivariable Calculus |
Euclidean
spaces, Limits and continuity, differentiation and applications,
Multiple Integrals, Line integrals, surface integrals. |
Paper
II
Algebra |
Inner
Products and orthogonality, Eigen values, eigen vectors
and diagonalisation, Groups, rings and fields, factorization. |
Paper
III
Mechanics and Differential Equations |
Basic
principles of mechanics, generalities about linear differential
equations, linear differential equations with constant
coefficients. Oscillation theory, systems of first order
differential equations, central orbits, rigid dynamics |
Paper
IV
Analysis |
Metric
spaces, continuity, connectedness, compactness, sequences
and series of functions, Fourier series. |
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