M.Sc. - JNU Solved assignments

 

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JAIPUR NATIONAL UNIVERSITY, JAIPUR

School of Distance Education & Learning

Internal Assignment No. 1

 

M.SC-I YEAR

Paper Code:       M.SC-MMAT-101

Paper Title:        ADVANCED CALCULUS

 

 

                                                            Max. Marks:  15

 

Q1. Explain the concept of work as a line integral and Independence of path.

Q2. Explain the Applications to area and volume and  Green’s Theorem in the plane.

 

 

 

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JAIPUR NATIONAL UNIVERSITY, JAIPUR

School of Distance Education & Learning

Internal Assignment No. 2

 

M.SC-I YEAR

Paper Code:       M.SC-MMAT-101

Paper Title:        ADVANCED CALCULUS

 

 

                                                                        Max. Marks:  15

Q1. Explain the  Transformation formula and  the first and the second fundamental theorems of calculus for line

Integral.

Q2. Explain the  Applications of the divergence theorem.

 

 

 

 

 

 

 

 

 

 

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JAIPUR NATIONAL UNIVERSITY, JAIPUR

School of Distance Education & Learning

Internal Assignment No. 1

 

M.SC-I YEAR

Paper Code:       M.SC-MMAT-102

Paper Title:        FOUNDATIONS OF ANALYSIS

 

 

 

Last Date of submission:                                                      Max. Marks:  15

 

Q.1

Explain the relation between cardinality of a set and cardinality of its power set .

 

Q.2

 

 

Explain the Bolzano-weierstrass theorem.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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Dear students get fully solved assignments

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or

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JAIPUR NATIONAL UNIVERSITY, JAIPUR

School of Distance Education & Learning

Internal Assignment No. 2

 

M.SC-I YEAR

Paper Code:       M.SC-MMAT-102

Paper Title:        FOUNDATIONS OF ANALYSIS

 

 

Last Date of submission:                                                      Max. Marks:  15

 

Q.1

 

 

Explain the statement for real numbers.

 

 

 

 

   Q.2     

Explain the property of Bolzano-weierstrass.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Dear students get fully solved assignments

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 JAIPUR NATIONAL UNIVERSITY, JAIPUR

School of Distance Education & Learning

Internal Assignment No. 1

 

M.SC-I YEAR

Paper Code:       M.SC-MMAT-103

Paper Title:        COMPLEX ANALYSIS

 

 

 

Last Date of submission:                                                      Max. Marks:  15

 

Q.1

Explain the analytic functions, necessary and sufficient conditions.

 

Q.2

 

 

Explain the spherical representation of the complex plane C.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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JAIPUR NATIONAL UNIVERSITY, JAIPUR

School of Distance Education & Learning

Internal Assignment No. 2

 

M.SC-I YEAR

Paper Code:       M.SC-MMAT-103

Paper Title:        COMPLEX ANALYSIS

 

 

Last Date of submission:                                                      Max. Marks:  15

 

Q.1

 

 

Explain the jocal mapping and open mapping theorem.

 

 

 

 

   Q.2     

     Explain the power series expansions.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Dear students get fully solved assignments

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JAIPUR NATIONAL UNIVERSITY, JAIPUR

School of Distance Education & Learning

Internal Assignment No. 1

 

M.SC-I YEAR

Paper Code:       M.SC-MMAT-104

Paper Title:        ALGEBRA

 

 

 

Last Date of submission:                                                      Max. Marks:  15

 

Q.1

Explain the lagrange’s throrem and euler fermat theorem.

 

Q.2

 

 

Explain the normal subgroups and quotient groups.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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JAIPUR NATIONAL UNIVERSITY, JAIPUR

School of Distance Education & Learning

Internal Assignment No. 2

 

M.SC-I YEAR

Paper Code:       M.SC-MMAT-104

Paper Title:        ALGEBRA

 

Last Date of submission:                                                      Max. Marks:  15

 

Q.1

 

 

Explain the theorems of schreier and Jordan-holder.

 

 

 

 

   Q.2     

     Explain the sylow theorems.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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JAIPUR NATIONAL UNIVERSITY, JAIPUR

School of Distance Education & Learning

Internal Assignment No. 1

 

M.SC-I YEAR

Paper Code:       M.SC-MMAT-105

Paper Title:        DIFFERENTIAL EQUATIONS

 

 

 

Last Date of submission:                                                      Max. Marks:  15

 

Q.1

Explain the method of undermined coefficients.

 

Q.2

 

 

Explain the guass hypergeometric equations.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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JAIPUR NATIONAL UNIVERSITY, JAIPUR

School of Distance Education & Learning

Internal Assignment No. 2

 

M.SC-I YEAR

Paper Code:       M.SC-MMAT-105

Paper Title:        DIFFERENTIAL EQUATIONS

 

 

Last Date of submission:                                                      Max. Marks:  15

 

Q.1

 

 

Explain the sturm’s comparison theorem.

 

 

 

 

   Q.2     

     Explain the method of successive approximations and picards theorem.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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JAIPUR NATIONAL UNIVERSITY, JAIPUR

School of Distance Education & Learning

Internal Assignment No. 1

 

M.SC-I YEAR

Paper Code:       M.SC-MMAT-106

Paper Title:        TOPOLOGY

 

 

 

Last Date of submission:                                                      Max. Marks:  15

 

Q.1

Explain the extension theorem, metrization theorem and tychnoffs theorem.

 

Q.2

 

 

Explain the finite product topology and subspace topology.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

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JAIPUR NATIONAL UNIVERSITY, JAIPUR

School of Distance Education & Learning

Internal Assignment No. 2

 

M.SC-I YEAR

Paper Code:       M.SC-MMAT-106

Paper Title:        TOPOLOGY

 

Last Date of submission:                                                      Max. Marks:  15

 

Q.1

 

 

Explain the limit point and local compactness.

 

 

 

 

   Q.2     

     Explain the types of topology.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Dear students get fully solved assignments

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JAIPUR NATIONAL UNIVERSITY, JAIPUR

School of Distance Education & Learning

Internal Assignment No. 1

 

M.SC-I YEAR

Paper Code:       M.SC-MMAT-107

Paper Title:        MEASURES AND INTEGRATION

 

 

 

Last Date of submission:                                                      Max. Marks:  15

 

Q.1

Explain the measure space, complete measure space and completion of measure space.

 

Q.2

 

 

Explain the properties of the lebesgue measure with respect to the group structure on IR.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Dear students get fully solved assignments

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JAIPUR NATIONAL UNIVERSITY, JAIPUR

School of Distance Education & Learning

Internal Assignment No. 2

 

M.SC-I YEAR

Paper Code:       M.SC-MMAT-107

Paper Title:        MEASURES AND INTEGRATION

 

 

Last Date of submission:                                                      Max. Marks:  15

 

Q.1

 

 

Explain the functions of intergrable.

 

 

 

 

   Q.2     

     Explain the fundamental theorem of calculus and its applications.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Dear students get fully solved assignments

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JAIPUR NATIONAL UNIVERSITY, JAIPUR

School of Distance Education & Learning

Internal Assignment No. 1

 

M.SC-I YEAR

Paper Code:       M.SC-MMAT-108

Paper Title:        FUNCTIONAL ANALYSIS

 

 

Last Date of submission:                                                      Max. Marks:  15

 

Q.1

    Write short note on

(i)                           Schwarz’s inequality

(ii)                       Parallelogram.

 

Q.2

 

 

Explain the natural imbedding of N into N** and reflexive spaces.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Dear students get fully solved assignments

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JAIPUR NATIONAL UNIVERSITY, JAIPUR

School of Distance Education & Learning

Internal Assignment No. 2

 

M.SC-I YEAR

Paper Code:       M.SC-MMAT-108

Paper Title:        FUNCTIONAL ANALYSIS

 

Last Date of submission:                                                      Max. Marks:  15

 

Q.1

 

 

Explain the orthogonality of rejections.

 

 

 

 

   Q.2     

     Write short notes on

(i)                          Finite dimensional spectral theorem.

(ii)                       Unitary operators and their properties.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Dear students get fully solved assignments

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JAIPUR NATIONAL UNIVERSITY, JAIPUR

School of Distance Education & Learning

Internal Assignment No. 1

 

M.SC-I YEAR

Paper Code:       M.SC-MMAT-109

Paper Title:        LINEAR ALGEBRA

 

 

Last Date of submission:                                                      Max. Marks:  15

 

Q.1

Explain the  realation between characteristic roots and vectors.

 

Q.2

 

 

Explain the unitary and normal transformations.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Dear students get fully solved assignments

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JAIPUR NATIONAL UNIVERSITY, JAIPUR

School of Distance Education & Learning

Internal Assignment No. 2

 

M.SC-I YEAR

Paper Code:       M.SC-MMAT-109

Paper Title:        LINEAR ALGEBRA

 

 

Last Date of submission:                                                      Max. Marks:  15

 

Q.1

 

 

Explain the algebra of limnear transformation .

 

 

 

 

   Q.2     

     Write short notes on

(i)                          Triangular forms.

(ii)                       Rank of a linear transformation.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Dear students get fully solved assignments

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JAIPUR NATIONAL UNIVERSITY, JAIPUR

School of Distance Education & Learning

Internal Assignment No. 1

 

M.SC-I YEAR

Paper Code:       M.SC-MMAT-110

Paper Title:        MECHANICS

 

 

 

 

Last Date of submission:                                                      Max. Marks:  15

 

Q.1

Explain the properties of the central force and two body central force problems.

 

Q.2

 

 

Explain the degrees of freedom and lagrange’s equations of motion of the second kind.

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

 

Dear students get fully solved assignments

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JAIPUR NATIONAL UNIVERSITY, JAIPUR

School of Distance Education & Learning

Internal Assignment No. 2

 

M.SC-I YEAR

Paper Code:       M.SC-MMAT-110

Paper Title:        MECHANICS

 

 

Last Date of submission:                                                      Max. Marks:  15

 

Q.1

 

 

Explain the properties of canonical transformations and its example.

 

 

 

 

   Q.2     

     Explain the theorem of poissin’s and Jacobi-possion.

 

 

 

 

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