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E-content of Faculty of Science - Department of Mathematics


Click here to view / download the Time Table for on line contact sessions for the period 15-30 April 2020

INDEX
Subject
Semester
Paper Code
Unit
Topic
Format
Name
Contact Details
Date
Link
MSCMATH149
P
Mathematics
M.Sc SEM –I
CC-1
Unit 1 Binary Composition or Binary Relation PDF Dr Abhik Singh (Guest faculty) Department of Mathematics, Patna University, Patna
Mob:
abhik51@gmail.com
13.02.2021
MSCMATH148
P
Mathematics
M.Sc SEM –III
Fluid Dynamics XII (MAT CC-12)
Unit 1 Convergence of sequence of real functions PDF Shailednra Pandit (Guest faculty) Department of Mathematics, Patna University, Patna
Mob:9430974625
sksuman1575@gmail.com
06.02.2021
MSCMATH147
P
Mathematics
M.Sc SEM –III
CC-10
Unit 1 Infinite Continued fraction PDF Dr Abhik Singh (Guest faculty) Department of Mathematics, Patna University, Patna
Mob:
abhik51@gmail.com
06.02.2021
MSCMATH146
P
Mathematics
M.Sc SEM – III
CC-11
Unit 1 Problem in Banach space PDF Dr Abhay Kumar (Guest faculty) Department of Mathematics, Patna University, Patna
Mob:
abhaykr378@gmail.com
30.01.2021
MSCMATH145
P
Mathematics
M.Sc. Sem-III,
CC-11
Unit 1 Problem in Hilbert space PDF Dr Abhay Kumar (Guest faculty) Department of Mathematics, Patna University, Patna
Mob:9430974625
abhaykr378@gmail.com
23.01.2021
MSCMATH144
P
Mathematics
M.Sc. Sem-III,
Fluid Dynamics XII (MAT CC-12)
-- Problems of EOQ with price breaks PDF Shailednra Pandit (Guest faculty) Department of Mathematics, Patna University, Patna
Mob:9430974625
sksuman1575@gmail.com
23.01.2021
MSCMATH143
P
Mathematics
M.Sc. Sem-III,
CC-11
Unit 1 Linear Operator Theorem PDF Dr Abhik Singh (Guest faculty) Department of Mathematics, Patna University, Patna
Mob:
abhik51@gmail.com
23.01.2021
MSCMATH142
P
Mathematics
M.Sc. Sem-III,
Fluid Dynamics XII (MAT CC-12)
-- Routh’s process for the ignoration of coordinates PDF Binod Kumar (Guest faculty) Department of Mathematics, Patna University, Patna
Mob:9304524851
binodkumararyan@gmail.com
23.01.2021
MSCMATH141
P
Mathematics
M.Sc. Sem-III, Fluid Dynamics XII (MAT CC-12)
Fluid Dynamics XII (MAT CC-12)
--
Problem of EOQ with Finite Replenishment (Production) PDF Shailednra Pandit (Guest faculty) Department of Mathematics, Patna University, Patna
Mob:9430974625
sksuman1575@gmail.com
16.01.2021
MSCMATH140
P
Mathematics
M.Sc. Sem-III,
Fluid Dynamics XII (MAT CC-12)
--
Concept of Hamiltonian PDF Binod Kumar (Guest faculty) Department of Mathematics, Patna University, Patna
Mob:9304524851
binodkumararyan@gmail.com
16.01.2021
MSCMATH139
P
Mathematics
M.Sc SEM – III
CC-11
Unit 1
Theorem on Hilbert space PDF Dr Abhay Kumar (Guest faculty) Department of Mathematics, Patna University, Patna
Mob:
Email:abhaykr378@gmail.com
16.01.2021
MSCMATH138
P
Mathematics
M.Sc SEM – III
CC-11
Unit 1
Closed graph Theorem PDF Dr Abhik Singh (Guest faculty) Department of Mathematics, Patna University, Patna
Mob:
Email:abhik51@gmail.com
16.01.2021
MSCMATH137
P
Mathematics
M.Sc. Sem-III,
Fluid Dynamics XII (MAT CC-12)
--
Multibody dynamics PDF Binod Kumar (Guest faculty) Department of Mathematics, Patna University, Patna
Mob:9304524851
Email:binodkumararyan@gmail.com
16.01.2021
MSCMATH136
Mathematics
M.Sc Mathematics SEMESTER – III CC-11
CC-11
Unit 1
Theorem based on Quotient spaces PDF Dr Abhik Singh (Guest faculty) Department of Mathematics, Patna University, Patna
Mob:
Email:abhik51@gmail.com
16.01.2021
MSCMATH135
P
Mathematics
M.Sc SEM – III
CC-11
Unit 1
Problem on Operator PDF Dr Abhay Kumar (Guest faculty) Department of Mathematics, Patna University, Patna
Mob:
Email: abhaykr378@gmail.com
16.01.2021
MSCMATH134
P
Mathematics
M.Sc SEM – III
CC-11
Unit 1
Systems of inventory control PDF Dr Abhay Kumar (Guest faculty) Department of Mathematics, Patna University, Patna
Mob:
Email: abhaykr378@gmail.com
28.12.2020
MSCMATH133
P
Mathematics
M.Sc SEM – III
CC-11
Unit 1
Reflexive Hilbert space PDF Dr Abhay Kumar (Guest faculty) Department of Mathematics, Patna University, Patna
Mob:
Email: abhaykr378@gmail.com
28.12.2020
MSCMATH132
P
Mathematics
M.Sc SEM – III
CC-11
Unit 1
Problem on projection-2 PDF Dr Abhay Kumar (Guest faculty) Department of Mathematics, Patna University, Patna
Mob:
Email: abhaykr378@gmail.com
28.12.2020
MSCMATH131
P
Mathematics
M.Sc SEM – III
CC-11
Unit 1
Problem on projection PDF Dr Abhay Kumar (Guest faculty) Department of Mathematics, Patna University, Patna
Mob:
Email: abhaykr378@gmail.com
28.12.2020
MSCMATH130
P
Mathematics
M.Sc SEM – III
CC-13
Unit 1
Spherical indicatrices PDF Dr. Lok Nath Rai Department of Mathematics, Patna University, Patna
Mob:9006632911
Email: loknathrai7@gmail.com
28.12.2020
MSCMATH129
P
Mathematics
M.Sc. Sem-III
-- -- Inventory problems with uncertain demand PDF Shailednra Pandit (Guest faculty) Department of Mathematics, Patna University, Patna
Mob:9304524851
Email: binodkumararyan@gmail.com
28.12.2020
MSCMATH128
P
Mathematics
M.Sc. Sem-III, Fluid Dynamics XII (MAT CC-12)
Fluid Dynamics XII (MAT CC-12) -- Vortex Motion(Rectilinear Vortices) PDF Shailednra Pandit (Guest faculty) Department of Mathematics, Patna University, Patna
Mob:9304524851
Email: binodkumararyan@gmail.com
19.12.2020
MSCMATH127
P
Mathematics
M.Sc. Sem-III
-- -- Inventory control continued PDF Shailednra Pandit (Guest faculty) Department of Mathematics, Patna University, Patna
Mob:9430974625
Email: sksuman1575@gmail.com
12.12.2020
MSCMATH126
P
Mathematics
M.Sc. Sem-III
-- -- Evolute and its curvature and torsion expressions PDF Dr. Lok Nath Rai Department of Mathematics, Patna University, Patna
Mob:9006632911
Email: loknathrai7@gmail.com
12.12.2020
MSCMATH125
P
Mathematics
M.Sc. Sem-III
-- -- Theorem based on Hilbert space is isometric and isomorphic to the complex space PDF Dr Abhik Singh (Guest faculty) Department of Mathematics, Patna University, Patna
Mob:
Email: abhik51@gmail.com
12.12.2020
MSCMATH124
P
Mathematics
M.Sc. Sem-III
-- -- General Solution of Laplace equation in spherical co-ordinate PDF Shailednra Pandit (Guest faculty) Department of Mathematics, Patna University, Patna
Mob: 9430974625
Email: sksuman1575@gmail.com
12.12.2020
MSCMATH123
P
Mathematics
M.Sc. Sem-III,
Fluid Dynamics XII (MAT CC-12)
--
General Solution of Laplace equation in spherical co-ordinate PDF Binod Kumar (Guest faculty) Department of Mathematics, Patna University, Patna
Mob: 9304524851
Email: binodkumararyan@gmail.com
12.12.2020
MSCMATH122
P
Mathematics
M.Sc SEM– III
CC-11
Unit 1
Principle of uniform boundedness or Banach Steinhaus PDF Dr Abhik Singh (Guest faculty) Department of Mathematics, Patna University, Patna
Mob:
Email: abhik51@gmail.com
30.11.2020
MSCMATH121
P
Mathematics
M.Sc. Sem-III
Fluid Dynamics XII (MAT CC-12)
-- Motion of a sphere PDF Binod Kumar (Guest faculty) Department of Mathematics, Patna University, Patna
Mob: 9304524851
Email: binodkumararyan@gmail.com
30.11.2020
MSCMATH121
P
Mathematics
M.Sc Mathematics SEMESTER – III CC-13 Unit 1
CC-13
Unit 1 Differential Geometry PDF Dr. Lok Nath Rai Department of Mathematics, Patna University, Patna
Mob: 9006632911
Email: loknathrai7@gmail.com
30.11.2020
MSCMATH120
P
Mathematics
M.Sc Mathematics Semester – III
-- -- Inventory control PDF Shailednra Pandit (Guest faculty) Department of Mathematics, Patna University, Patna
Mob: 9430974625
Email: sksuman1575@gmail.com
30.11.2020
MSCMATH119
P
Mathematics
M.Sc Sem – III
-- -- Factors affecting inventory control PDF Shailednra Pandit (Guest faculty) Department of Mathematics, Patna University, Patna
Mob: 9430974625
Email: sksuman1575@gmail.com
30.11.2020
MSCMATH118
P
Mathematics
M.Sc SEM – III
CC-11
Unit 1
Theorem based on Hilbert Space PDF Dr Abhik Singh (Guest faculty) Department of Mathematics, Patna University, Patna
Mob:
Email: abhik51@gmail.com
30.11.2020
MSCMATH117
P
Mathematics
M.Sc SEM – III
CC-11
Unit 5
Theorem and problem on projection PDF Dr Abhay Kumar (Guest faculty) Department of Mathematics, Patna University, Patna
Mob:
Email: abhaykr378@gmail.com
28.11.2020
MSCMATH116
P
Mathematics
M.Sc Sem – III
-- -- GAME THEORY-III PDF Shailednra Pandit (Guest faculty) Department of Mathematics, Patna University, Patna
Mob: 9430974625
Email: sksuman1575@gmail.com
12.11.2020
MSCMATH115
P
Mathematics
M.Sc SEM– III
C-11
Unit 5
Theorem on projection PDF Dr Abhay Kumar (Guest faculty) Department of Mathematics, Patna University, Patna
Mob:
Email: abhaykr378@gmail.com
12.11.2020
MSCMATH114
P
Mathematics
M.Sc SEM – III
CC-11
Unit 5
Theorem and problems on Normal and Unitary operators PDF Dr Abhay Kumar (Guest faculty) Department of Mathematics, Patna University, Patna
Mob:
Email: abhaykr378@gmail.com
12.11.2020
MSCMATH113
P
Mathematics
M.Sc Mathematics SEMESTER – III
CC-11
Unit 1
ww
Theorem based on Inner Product Space PDF Dr Abhik Singh (Guest faculty) Department of Mathematics, Patna University, Patna
Mob:
Email: abhik51@gmail.com
12.11.2020
MSCMATH112
P
Mathematics
M.Sc. Sem-III, Fluid Dynamics XII (MAT CC-12)
    General concept of motion of Cylinders PDF Binod Kumar (Guest faculty) Department of Mathematics, Patna University, Patna
Mob: 9304524851
Email: binodkumararyan@gmail.com
12.11.2020
MSCMATH111
P
Mathematics
M.Sc. Sem-III,
Fluid Dynamics XII (MAT CC-12)
-- Motion of a circular cylinder PDF Binod Kumar (Guest faculty) Department of Mathematics, Patna University, Patna
Mob: 9304524851
Email: binodkumararyan@gmail.com
12.11.2020
MSCMATH110
P
Mathematics
M.Sc Seme – III
-- -- Games Without Saddle Points – Mixed Strategies PDF Shailednra Pandit (Guest faculty) Department of Mathematics, Patna University, Patna
Mob: 9430974625
Email: sksuman1575@gmail.com
10.11.2020
MSCMATH109
P
Mathematics
M.Sc SEM – III
CC-13
Unit 1
Betrand Curves and other properties PDF Dr. Lok Nath Rai Department of Mathematics, Patna University, Patna
Mob: 9006632911
Email: loknathrai7@gmail.com
10.11.2020
MSCMATH108
P
Mathematics
M.Sc Mathematics SEMESTER – III
CC-13
Unit 1
Define Betrand Curves PDF Dr. Lok Nath Rai Department of Mathematics, Patna University, Patna
Mob: 9006632911
Email: loknathrai7@gmail.com
06.11.2020
MSCMATH107
P
Mathematics
M.Sc Mathematics SEMESTER – III
CC-11
Unit 1
Theorem based on absolutely summable series PDF Dr Abhik Singh (Guest faculty) Department of Mathematics, Patna University, Patna
Mob: -
Email: abhik51@gmail.com
06.11.2020
MSCMATH106
P
Mathematics
M.Sc. Sem-III,
Fluid Dynamics XII (MAT CC-12)
--
The Theorem of Blasius PDF Binod Kumar (Guest faculty) Department of Mathematics, Patna University, Patna
Mob: 9304524851
Email: binodkumararyan@gmail.com
06.11.2020
MSCMATH105
P
Mathematics
M.Sc. Sem-III
Fluid Dynamics XII (MAT C-12C)
-- Simply the circle theorem PDF Binod Kumar (Guest faculty) Department of Mathematics, Patna University, Patna
Mob: 9304524851
Email: binodkumararyan@gmail.com
31.10.2020
MSCMATH104
P
Mathematics
M.Sc SEM – III
CC-11
Unit 1
Theorem based on Projection on Banach spaces PDF Dr Abhik Singh (Guest faculty) Department of Mathematics, Patna University, Patna
Mob:
Email: abhik51@gmail.com
31.10.2020
MSCMATH103
P
Mathematics
M.Sc SEM – III
CC-11
Unit 1
Projection on Banach spaces PDF Dr Abhik Singh (Guest faculty) Department of Mathematics, Patna University, Patna
Mob:
Email: abhik51@gmail.com
31.10.2020
MSCMATH102
P
Mathematics
M.Sc SEM – III
CC-11
Unit 1 Cylindrical helix PDF Dr Abhik Singh (Guest faculty) Department of Mathematics, Patna University, Patna
Mob:
Email: abhik51@gmail.com
31.10.2020
MSCMATH101
P
Mathematics
M.Sc Mathematics SEM– III
CC-11
Unit 5
Normal and Unitary Operators PDF Dr Abhay Kumar (Guest faculty) Department of Mathematics, Patna University, Patna
Mob:
Email: abhaykr378@gmail.com
31.10.2020
MSCMATH100
P
Mathematics
M.Sc Mathematics SEMESTER – III
CC-11
Unit 5
Normal operators PDF Dr Abhay Kumar (Guest faculty) Department of Mathematics, Patna University, Patna
Mob:
Email: abhaykr378@gmail.com
31.10.2020
MSCMATH099
P
Mathematics
M.Sc. Sem-III,
Fluid Dynamics XII (MAT CC-12)
-- Complex Potential for Irrotational Motion in Two-dimensions PDF Binod Kumar (Guest faculty) Department of Mathematics, Patna University, Patna
Mob: 9304524851
Email: binodkumararyan@gmail.com
31.10.2020
MSCMATH098
P
Mathematics
M.Sc Sem– III
-- -- Game theory PDF Shailednra Pandit (Guest faculty) Department of Mathematics, Patna University, Patna
Mob: 9430974625
Email: sksuman1575@gmail.com
28.10.2020
MSCMATH097
P
Mathematics
M.Sc SEM – III
CC-11
Unit 4
Positive Operators PDF Dr Abhay Kumar (Guest faculty) Department of Mathematics, Patna University, Patna
Mob: -
Email: abhaykr378@gmail.com
22.10.2020
MSCMATH096
P
Mathematics
M.Sc SEM – III
CC-13
Unit 1
Serret Frenet formula PDF Dr. Lok Nath Rai Department of Mathematics, Patna University, Patna
Mob: -9006632911
Email: loknathrai7@gmail.com
22.10.2020
MSCMATH095
P
Mathematics
M.Sc SEM – III
CC-11
Unit 1
Theorem based on finite-dimensional PDF Dr Abhik Singh (Guest faculty) Department of Mathematics, Patna University, Patna
Mob: -
Email: abhik51@gmail.com
22.10.2020
MSCMATH094
P
Mathematics
M.Sc SEM – III
CC-11
Unit 4
Theorems on operator and self- adjoint operators. PDF Dr Abhay Kumar (Guest faculty) Department of Mathematics, Patna University, Patna
Mob: -
Email: abhaykr378@gmail.com
22.10.2020
MSCMATH093
P
Mathematics
M.Sc Sem – III,
-- -- Non-linear programming problems PDF Shailednra Pandit (Guest faculty) Department of Mathematics, Patna University, Patna
Mob: -9430974625
Email: sksuman1575@gmail.com
22.10.2020
MSCMATH092
P
Mathematics
M.Sc SEM – III
CC-11
Unit 4
Theorems on self –adjoint operators PDF Dr Abhay Kumar (Guest faculty) Department of Mathematics, Patna University, Patna
Mob: -
Email: abhaykr378@gmail.com
22.10.2020
MSCMATH091
P
Mathematics
M.Sc SEM – III
CC-11
Unit 1
Example of Conjugate Space PDF Dr Abhik Singh (Guest faculty) Department of Mathematics, Patna University, Patna
Mob: -
Email: abhik51@gmail.com
16.10.2020
MSCMATH090
P
Mathematics
M.Sc. Sem-III,
Fluid DynamicIs XI (MAT CC-12)
-- Motion in Two-Dimensions Source and Sink PDF Binod Kumar (Guest faculty) Department of Mathematics, Patna University, Patna
Mob: 9304524851
Email: binodkumararyan@gmail.com
16.10.2020
MSCMATH089
P
Mathematics
M.Sc. Sem-III,
Fluid Dynamics XII (MAT CC-12) -- Bernoulli’s equation and its application PDF Binod Kumar (Guest faculty) Department of Mathematics, Patna University, Patna
Mob: 9304524851
Email: binodkumararyan@gmail.com
16.10.2020
MSCMATH088
P
Mathematics
M.Sc Mathematics Semester – III,
-- -- Wolfe’s Modified Simplex Method PDF Shailednra Pandit (Guest faculty) Department of Mathematics, Patna University, Patna
Mob: 9430974625
Email: sksuman1575@gmail.com
16.10.2020
MSCMATH087
P
Mathematics
M.Sc SEM – III
CC-11
Unit 4
Problems on Adjoint Operator PDF Dr Abhay Kumar (Guest faculty) Department of Mathematics, Patna University, Patna
Mob: -
Email: abhaykr378@gmail.com
16.10.2020
MSCMATH086
P
Mathematics
M.Sc Mathematics SEMESTER – III
CC-11
Unit 1
Dual Space or (conjugate space) PDF Dr Abhik Singh (Guest faculty) Department of Mathematics, Patna University, Patna
Mob: -
Email: abhik51@gmail.com
16.10.2020
MSCMATH085
P
Mathematics
M.Sc Mathematics SEMESTER – III
CC-11
Unit 4 The Adjoint Operator PDF Dr Abhay Kumar (Guest faculty) Department of Mathematics, Patna University, Patna
Mob: -
Email: abhaykr378@gmail.com
16.10.2020
MSCMATH084
P
Mathematics
M.Sc SEM – III
CC-11
Unit 4
A characterization theorem for complete orthonormal sets PDF Dr Abhay Kumar (Guest faculty) Department of Mathematics, Patna University, Patna
Mob: -
Email: abhaykr378@gmail.com
10.10.2020
MSCMATH083
P
Mathematics
Sem – III,
-- -- Karush-Kuhn-Tucker (KKT) Conditions PDF Shailednra Pandit (Guest faculty) Department of Mathematics, Patna University, Patna
Mob: 9430974625
Email: sksuman1575@gmail.com
10.10.2020
MSCMATH083
P
Mathematics
SEMESTER – III
CC-11 Unit 4 Frechet-Riesz representation theorem PDF Dr Abhay Kumar (Guest faculty) Department of Mathematics, Patna University, Patna
Mob: -
Email: abhaykr378@gmail.com
07.10.2020
MSCMATH082
P
Mathematics
SEMESTER – III
CC-13 Unit 1 Differential Geometry PDF Dr. Lok Nath Rai Department of Mathematics, Patna University, Patna
Mob: -9006632911
Email: loknathrai7@gmail.com
30.09.2020
MSCMATH081
P
Mathematics
SEMESTER – III
CC-11 Unit 4 Bessel′s Inequality PDF Dr Abhay Kumar (Guest faculty) Department of Mathematics, Patna University, Patna
Mob: -
Email: abhaykr378@gmail.com
30.09.2020
MSCMATH080
P
Mathematics
M.Sc. Sem-III
Fluid Dynamics XII (MAT CC-12 -- Euler’s equation of motion PDF Binod Kumar (Guest faculty) Department of Mathematics, Patna University, Patna
Mob: -9304524851
Email: binodkumararyan@gmail.com
30.09.2020
MSCMATH079
P
Mathematics
M.Sc. Sem-III,
Fluid Dynamics XII (MAT CC-12) -- Rotational and irrotional fluid flow PDF Binod Kumar (Guest faculty) Department of Mathematics, Patna University, Patna
Mob: -9304524851
Email: binodkumararyan@gmail.com
30.09.2020
MSCMATH078
P
Mathematics
M.Sc. Sem-III, )
Fluid Dynamics XII (MAT CC-12) -- Lamb’s hydrodynamical equation PDF Binod Kumar (Guest faculty) Department of Mathematics, Patna University, Patna
Mob: -9304524851
Email: binodkumararyan@gmail.com
30.09.2020
MSCMATH077
P
Mathematics
M.Sc. Sem-III,
Fluid Dynamics XII (MAT CC-12) -- Equation of motion under impulsive forces PDF Binod Kumar (Guest faculty) Department of Mathematics, Patna University, Patna
Mob: -9304524851
Email: binodkumararyan@gmail.com
30.09.2020
MSCMATH076
P
Mathematics
M.Sc. Sem-III,
Fluid Dynamics XII (MAT CC-12) -- The energy equation and example PDF Binod Kumar (Guest faculty) Department of Mathematics, Patna University, Patna
Mob: -9304524851
Email: binodkumararyan@gmail.com
30.09.2020
MSCMATH075
P
Mathematics
Semester – III,
-- -- Interior Point Algorithms PDF Shailednra Pandit (Guest faculty) Department of Mathematics, Patna University, Patna
Mob: -9430974625
Email: sksuman1575@gmail.com
25.09.2020
MSCMATH074
P
Mathematics
Sem – III,
-- -- Simplex method for goal programming problem PDF Shailednra Pandit (Guest faculty) Department of Mathematics, Patna University, Patna
Mob: -9430974625
Email: sksuman1575@gmail.com
25.09.2020
MSCMATH073
P
Mathematics
SEM– III
CC-11 Unit 1 Theorem based on linear transformation PDF Dr Abhik Singh (Guest faculty) Department of Mathematics, Patna University, Patna
Mob: -
Email: abhik51@gmail.com
25.09.2020
MSCMATH072
P
Mathematics
SEM– III
CC-11 Unit 4 Projection theorem in a Hilbert space PDF Dr Abhay Kumar (Guest faculty) Department of Mathematics, Patna University, Patna
Mob: -
Email: abhaykr378@gmail.com
24.09.2020
MSCMATH071
P
Mathematics
SEM – III
CC-11 Unit 1 Equivalent Norms PDF Dr Abhik Singh (Guest faculty) Department of Mathematics, Patna University, Patna
Mob: -
Email: abhik51@gmail.com
24.09.2020
MSCMATH070
P
Mathematics
SEM – III
CC-13 Unit 1 Equation of motion for a simple pendulum PDF Dr. Lok Nath Rai Department of Mathematics, Patna University, Patna
Mob: -9006632911
Email: loknathrai7@gmail.com
24.09.2020
MSCMATH069
P
Mathematics
SEMESTER – III,
CC-11(functional analysis) Unit-4 Theorem on the Hilbert Space PDF Dr Abhay Kumar (Guest faculty) Department of Mathematics, Patna University, Patna
Mob: -
Email: abhaykr378@gmail.com
15.09.2020
MSCMATH068
P68
Mathematics
Semester – III,
-- -- Integer programming problem PDF Shailednra Pandit (Guest faculty) Department of Mathematics, Patna University, Patna
Mob: -9430974625
Email: sksuman1575@gmail.com
15.09.2020
MSCMATH067
P
Mathematics
SEMESTER – III,
CC-11, Unit-4 Theorem on Hilbert space PDF Dr Abhay Kumar (Guest faculty) Department of Mathematics, Patna University, Patna
Mob: -
Email: abhaykr378@gmail.com
15.09.2020
MSCMATH066
P
Mathematics
SEM – III,
CC-11, Unit-4 Convex set in a linear space PDF Dr Abhay Kumar (Guest faculty) Department of Mathematics, Patna University, Patna
Mob: -
Email: abhaykr378@gmail.com
15.09.2020
MSCMATH065
P
Mathematics
SEM – III
CC-11 Unit-1 Functional Analysis-L-7 PDF Dr Abhik Singh (Guest faculty) Department of Mathematics, Patna University, Patna
Mob: -
Email: abhik51@gmail.com
15.09.2020
MSCMATH064
P
Mathematics
SEMESTER – III
-- -- Integer Programming Problem PDF Shailednra Pandit (Guest faculty) Department of Mathematics, Patna University, Patna
Mob: -9430974625
Email: sksuman1575@gmail.com
08.09.2020
MSCMATH063
P
Mathematics
SEMESTER – III
CC-13 Unit 1 Obtain Lagrange’s differential equation for holonomic dynamical system PDF Dr. Lok Nath Rai Department of Mathematics, Patna University, Patna
Mob: -9006632911
Email: loknathrai7@gmail.com
08.09.2020
MSCMATH062
P
Mathematics
SEMESTER – III
CC-11 Unit-4 Construct an example of a normed linear space which is not a Banach space PDF Dr Abhik Singh (Guest faculty) Department of Mathematics, Patna University, Patna
Mob: -
Email: abhik51@gmail.com
08.09.2020
MSCMATH061
P
Mathematics
SEMESTER – III
CC-11, Unit-4 Theorem and problem based on the Hilbert space PDF Dr Abhay Kumar (Guest faculty) Department of Mathematics, Patna University, Patna
Mob: -
Email: abhaykr378@gmail.com
04.09.2020
MSCMATH060
P
Mathematics
SEMESTER – III
CC-11, Unit-4 Theorems based on the Hilbert Spaces PDF Dr Abhay Kumar (Guest faculty) Department of Mathematics, Patna University, Patna
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Email: abhaykr378@gmail.com
27.08.2020
MSCMATH059
P
Mathematics
– III
CC-11 Unit-4 Problems based on inner product space PDF Dr Abhik Singh (Guest faculty) Department of Mathematics, Patna University, Patna
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Email: abhik51@gmail.com
27.08.2020
MSCMATH058
P
Mathematics
SEM– III
CC-11 Unit 1 Banach space PDF Dr Abhik Singh (Guest faculty) Department of Mathematics, Patna University, Patna
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Email: abhik51@gmail.com
22.08.2020
MSCMATH057
P
Mathematics
SEMESTER – III
CC-11 Unit 1 Functional Analysisis -cauchy sequence,Continuous function and Theorem PDF Dr Abhik Singh (Guest faculty) Department of Mathematics, Patna University, Patna
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Email: abhik51@gmail.com
22.08.2020
MSCMATH056
P
Mathematics
SEM– III
CC-13 Unit 1 Generalised Co-ordinates PDF Dr. Lok Nath Rai Department of Mathematics, Patna University, Patna
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22.08.2020
MSCMATH055
P
Mathematics
SemIII,
Paper: Fluid Dynamics XII (MAT CC-12) -- Parametric Linear Programming PDF Binod Kumar (Guest faculty) Department of Mathematics, Patna University, Patna
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Email: binodkumararyan@gmail.com
22.08.2020
MSCMATH054
P
Mathematics
SEM – III
-- -- Parametric Linear Programming PDF Shailednra Pandit (Guest faculty) Department of Mathematics, Patna University, Patna
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Email: sksuman1575@gmail.com
22.08.2020
MSCMATH053
P
Mathematics
SEM – III)
CC-11, Unit-4 Theorem based on inner product spaces and Hilbert spaces PDF Dr Abhay Kumar (Guest faculty) Department of Mathematics, Patna University, Patna
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Email: abhaykr378@gmail.com
22.08.2020
MSCMATH052
P
Mathematics
Sem-III,
Fluid Dynamics XII (MAT CC-12) -- Equation of continuity by Lagrangian Approach PDF Binod Kumar (Guest faculty) Department of Mathematics, Patna University, Patna
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Email: binodkumararyan@gmail.com
22.08.2020
MSCMATH051
P
Mathematics
SEMESTER – III
-- -- Dual Problem PDF Shailednra Pandit (Guest faculty) Department of Mathematics, Patna University, Patna
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Email: sksuman1575@gmail.com
22.08.2020
MSCMATH050
P
Mathematics
SEM – III
CC-13 Unit 1 Rigid Dynamics PDF Dr. Lok Nath Rai Department of Mathematics, Patna University, Patna
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Email: loknathrai7@gmail.com
22.08.2020
MSCMATH049
P
Mathematics
SEMESTER – III
CC-11 Unit 1 Functional Analysis PDF Dr Abhik Singh (Guest faculty) Department of Mathematics, Patna University, Patna
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Email: abhaykr378@gmail.com
22.08.2020
MSCMATH048
P
Mathematics
SEMESTER – III, )
CC-11, Unit-4 Inner Product Spaces PDF Dr Abhay Kumar (Guest faculty) Department of Mathematics, Patna University, Patna
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Email: abhaykr378@gmail.com
19.08.2020
MSCMATH047
P
Mathematics
SEMESTER – II
CC-11 Unit 1 Linear Space (Vector Space) PDF Dr Abhik Singh (Guest faculty) Department of Mathematics, Patna University, Patna
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Email: abhaykr378@gmail.com
14.08.2020
MSCMATH046
P46
Mathematics
M.Sc. Sem-III,
Fluid Dynamics XII (MAT CC-12) -- Equation of continuity in Co-ordinate system PDF Binod Kumar (Guest faculty) Department of Mathematics, Patna University, Patna
Mob: 9304524851
Email: binodkumararyan@gmail.com
13.08.2020
MSCMATH045
P
Mathematics
M.Sc. Sem-III,
Fluid Dynamics XII (MAT CC-12) -- Material derivatives and Euler equation of continuity PDF Binod Kumar (Guest faculty) Department of Mathematics, Patna University, Patna
Mob: 9304524851
Email: binodkumararyan@gmail.com
13.08.2020
MSCMATH044
P
Mathematics
M.Sc. Sem-III,
Fluid Dynamics XII (MAT CC-12) -- Lagrangian and Eulerian flow PDF Binod Kumar (Guest faculty) Department of Mathematics, Patna University, Patna
Mob: 9304524851
Email: binodkumararyan@gmail.com
13.08.2020
MSCMATH043
P
Mathematics
Sem-III
-- -- LPP (Simplex Method)-3 PDF Shailednra Pandit (Guest faculty) Department of Mathematics, Patna University, Patna
Mob: 9430974625
Email: sksuman1575@gmail.com
13.08.2020
MSCMATH082
P42
Mathematics
Sem-III
-- -- LPP (Simplex Method)-2 PDF Shailednra Pandit (Guest faculty) Department of Mathematics, Patna University, Patna
Mob: 9430974625
Email: sksuman1575@gmail.com
07.08.2020
41
Mathematics
SEMESTER – II
CC-11 Unit 1 Functional Analysis PDF Dr Abhik Singh (Guest faculty) Department of Mathematics, Patna University, Patna
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Email: abhaykr378@gmail.com
07.08.2020
MSCMATH040
P
Mathematics
SEM – II,(
CC – 09 Topology The Tietze Extension Theorem PDF Dr Abhay Kumar (Guest faculty) Department of Mathematics, Patna University, Patna
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Email: abhaykr378@gmail.com
07.08.2020
39
Mathematics
M.Sc. Sem-III
-- -- LPP (Simplex Method) PDF Shailednra Pandit (Guest faculty) Department of Mathematics, Patna University, Patna
Mob: -9430974625
Email: sksuman1575@gmail.com
30.07.2020
38
Mathematics
Sem 2
CC -11, Unit 1 Linear Space PDF Dr Abhik Singh (Guest faculty) Department of Mathematics, Patna University, Patna
Mob: -
Email: abhaykr378@gmail.com
30.07.2020
37
Mathematics
Semester: II,)
Paper VII (MAT CC-07 -- Fredhlom integral equation PDF Binod Kumar (Guest faculty) Department of Mathematics, Patna University, Patna
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Email: binodkumararyan@gmail.com
30.07.2020
MSCMATH030
P
Mathematics
Semester: II,
Paper VII (MAT CC-07) -- Resolvent Kernal PDF Binod Kumar (Guest faculty) Department of Mathematics, Patna University, Patna
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Email: binodkumararyan@gmail.com
30.07.2020
MSCMATH035
P
Mathematics
M.Sc. Sem-III
-- -- General Linear Programming Problem PDF Shailednra Pandit (Guest faculty) Department of Mathematics, Patna University, Patna
Mob: -9430974625
Email: sksuman1575@gmail.com
24.07.2020
MSCMATH034
P
Mathematics
M.Sc. Sem-II
-- -- Complex Integration PDF Dr. Lok Nath Rai Department of Mathematics, Patna University, Patna
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Email: loknathrai7@gmail.com
17.07.2020
MSCMATH033
P
Mathematics
M.Sc. Mathematics Semester: IV,
Paper (MAT EC-02)) -- Galois finite field concept PDF Binod Kumar (Guest faculty) Department of Mathematics, Patna University, Patna
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Email: binodkumararyan@gmail.com
17.07.2020
MSCMATH032
P
Mathematics
M.Sc. Mathematics Semester: II,
Paper VII (MAT CC-07) -- Differential Inequality PDF Binod Kumar (Guest faculty) Department of Mathematics, Patna University, Patna
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Email: binodkumararyan@gmail.com
17.07.2020
MSCMATH032
P
Mathematics
Mathematics Semester: II,)
PaperVII (MAT CC-07 -- Osgood and Nagumo Theorem PDF Binod Kumar (Guest faculty) Department of Mathematics, Patna University, Patna
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Email: binodkumararyan@gmail.com
17.07.2020
MSCMATH030
P
Mathematics
M.Sc. Sem-IV
-- -- Galois Theory PDF Shailednra Pandit (Guest faculty) Department of Mathematics, Patna University, Patna
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Email: sksuman1575@gmail.com
17.07.2020
MSCMATH029
P
Mathematics
M.Sc. Sem-II
-- -- Cantor theory and outer measure PDF Shailednra Pandit (Guest faculty) Department of Mathematics, Patna University, Patna
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Email: sksuman1575@gmail.com
17.07.2020
MSCMATH028
P
Mathematics
M.Sc Semester-4
Elective Paper –Mathematical Method -- Partial differential equation PDF Dr Abhik Singh (Guest faculty) Department of Mathematics, Patna University, Patna
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Email: abhaykr378@gmail.com
17.07.2020
MSCMATH027
P
Mathematics
M.Sc Sem 2
CC -10, Unit 4 Number Theory-2nd Part PDF Dr Abhik Singh (Guest faculty) Department of Mathematics, Patna University, Patna
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Email: abhaykr378@gmail.com
17.07.2020
MSCMATH026
P
Mathematics
M.Sc Sem 2 ,
CC -10 Unit 4 Number Theory-1st Part PDF Dr Abhik Singh (Guest faculty) Department of Mathematics, Patna University, Patna
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Email: abhaykr378@gmail.com
17.07.2020
MSCMATH025
P
Mathematics
M.Sc Sem 2
CC -10, Unit 4 Infinite Continued Fractions PDF Dr Abhik Singh (Guest faculty) Department of Mathematics, Patna University, Patna
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Email: abhaykr378@gmail.com
28.05.2020
MSCMATH024
P
Mathematics
M.Sc. Sem-II
-- -- Extension Of Measure PDF Shailednra Pandit (Guest faculty) Department of Mathematics, Patna University, Patna
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Email: sksuman1575@gmail.com
28.05.2020
MSCMATH023
Mathematics
M.Sc. Sem-II
-- -- Uniqueness Of The Extension PDF Shailednra Pandit (Guest faculty) Department of Mathematics, Patna University, Patna
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Email: sksuman1575@gmail.com
28.05.2020
MSCMATH022
p
Mathematics
Sem-II
-- -- Contour Integration Continued PDF Dr. Lok Nath Rai Department of Mathematics, Patna University, Patna
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Email: loknathrai7@gmail.com
28.05.2020
MSCMATH021
P
Mathematics
M.Sc SEM 2 Unit 4
CC -10
Unit 4
Continued Fraction PDF Dr Abhik Singh (Guest faculty) Department of Mathematics, Patna University, Patna
Mob: -
Email: abhaykr378@gmail.com
22.05.2020
MSCMATH020
P
Mathematics
M.Sc Mathematics SEMESTER – II,
CC – 09(Topology)
-- Urysohn's lemma PDF Dr Abhay Kumar (Guest faculty) Department of Mathematics, Patna University, Patna
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Email: abhaykr378@gmail.com
22.05.2020
MSCMATH018
P
Mathematics
M.Sc. Sem-II
-- -- Countour Integration PDF Dr. Lok Nath Rai Department of Mathematics, Patna University, Patna
Mob: 9006632911
Email: loknathrai7@gmail.com
15.05.2020
MSCMATH019
P
Mathematics
M.Sc SEM 2
CC -10
Unit 4
Farey Series PDF Dr Abhik Singh (Guest faculty) Department of Mathematics, Patna University, Patna
Mob:
Email: loknathrai7@gmail.com
15.05.2020
MSCMATH017
Mathematics
M.Sc. Mathematics Semester: II,
Paper VII (MAT CC-07)
--
Differential and integral Equation PDF Binod Kumar (Guest faculty) Department of Mathematics, Patna University, Patna
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Email: binodkumararyan@gmail.com
15.05.2020
MSCMATH016
P
Mathematics
M.Sc Sem-IV
-- -- Interior Dirichlet Problem For A Circle PDF Shailednra Pandit (Guest faculty) Department of Mathematics, Patna University, Patna
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Email: sksuman1575@gmail.com
15.05.2020
MSCMATH015
P
Mathematics
M.Sc Mathematics Sem-IV
-- -- General Nature Of Boundary Value Problems PDF Shailednra Pandit (Guest faculty) Department of Mathematics, Patna University, Patna
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Email: sksuman1575@gmail.com
15.05.2020
MSCMATH014
P
Mathematics
M.Sc SEM 2
CC -10,
Unit 2
Hurwitz Theorem PDF Dr Abhik Singh (Guest faculty) Department of Mathematics, Patna University, Patna
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Email: loknathrai7@gmail.com
09-05-2020
MSCMATH013
P
Mathematics
M.Sc SEM 2
CC -10
Unit 4
Hurwitz Theorem PDF Dr Abhik Singh (Guest faculty) Department of Mathematics, Patna University, Patna
Mob: -
Email: loknathrai7@gmail.com
09-05-2020
MSCMATH012
P
Mathematics
M.Sc Sem-IV
-- -- Bessel's Equation PDF Dr Abhay Kumar (Guest faculty) Department of Mathematics, Patna University, Patna
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Email: abhaykr378@gmail.com
26-04-2020
MSCMATH011
P
Mathematics
M.S c Mathematics –SEM 2 CC -10
CC -10 -- Number Theory PDF Dr Abhik Singh (Guest faculty) Department of Mathematics, Patna University, Patna
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Email: loknathrai7@gmail.com
26-04-2020
MSCMATH010
P
Mathematics
M.S c Mathematics Sem-IV
-- -- Weierstrass Approximation Theorem PDF Abhay Kumar (Guest faculty) Department of Mathematics, Patna University, Patna
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Email: abhaykr378@gmail.com
26-04-2020
MSCMATH009
P
Mathematics
M.S c Mathematics Sem-IV
-- -- Partial Differential Equation PDF Shailednra Pandit (Guest faculty) Department of Mathematics, Patna University, Patna
Mob: 9430974625
Email: sksuman1575@gmail.com
26-04-2020
MSCMATH008
P
Mathematics
M.Sc Sem-IV
--
--
The Four Derivates PDF Shailednra Pandit (Guest faculty) Department of Mathematics, Patna University, Patna
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Email: sksuman1575@gmail.com
26-04-2020
MSCMATH007
P
Mathematics
M.S c Mathematics
--
--
singularity(cavity) PDF Binod kumar (Guest faculty) Department of Mathematics, Patna University, Patna
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Email: binodkumararyan@gmail.com
26-04-2020
MSCMATH006
P
Mathematics
M.Sc SEM 2
CC -10
--
Mobius Function PDF Dr Abhik Singh (Guest faculty) Department of Mathematics, Patna University, Patna
Mob: 9006632911
Email: loknathrai7@gmail.com
16-04-2020
MSCMATH005
P
Mathematics
M.Sc. Sem 4
EC07
--
Mathematical Methods PDF Dr. Lok Nath Rai Department of Mathematics, Patna University, Patna
Mob: 9006632911
Email: loknathrai7@gmail.com
15-04-2020
MSCMATH004
P
Mathematics
M.Sc SEM 2
MEASURE THEORY -- LP Spaces PDF Shailednra Pandit (Guest Faculty) Department of Mathematics, Patna University, Patna
Mob: 9430974625
Email: sksuman1575@gmail.com
13-04-2020
MSCMATH003
P
Mathematics
M.Sc SEM 2
MEASURE THEORY
--
Absolutely Continuous functions PDF Shailednra Pandit Guest Faculty Department of Mathematics, Patna University, Patna
Mob: 9430974625
Email: sksuman1575@gmail.com
13-04-2020
MSCMATH002
P
Mathematics
M.Sc SEM 2
MEASURE THEORY
--
Integration of non-negative functions PDF Shailednra Pandit (Guest Faculty) Department of Mathematics, Patna University, Patna
Mob: 9430974625
Email: sksuman1575@gmail.com
13-04-2020
MSCMATH001
P
Mathematics
M.S c Mathematics –SEM 2
--
CC -10
Number Theory PDF Dr Abhik Singh (Guest Faculty) Department of Mathematics, Patna University, Patna
Email: loknathrai7@gmail.com
13-04-2020











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