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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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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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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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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. | ||||
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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
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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. | ||||
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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
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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. | ||||
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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. | ||||||
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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. | ||||
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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 Schwarz’s inequalityParallelogram. | ||||||
| Q.2 | Explain the natural imbedding of N into N** and reflexive spaces. | ||||||
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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 Finite dimensional spectral theorem.Unitary operators and their properties. | ||||
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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. | ||||||
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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 Triangular forms.Rank of a linear transformation. | ||||
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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. | ||||||
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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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