Lesson Plan for B.A.
Pass Course 6th SemesterFeb to May 2024
Subject: Mathematics
Paper: Special function and
integral transformation
|
Feb Week 2
|
Power series and its use in solving differential
equation, beta and gamma function with their properties
|
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Feb Week 3
|
Bessel equation, Bessels function and its
properties
|
|
Feb Week 4
|
Convergence recurrence and orthogonality of Bessel
function
|
|
March Week
1
|
Legendre and Hermite functions, their recurrence
and generating function
|
|
March Week 2
|
Orthogonality of Legendre and Hermite polynomial,
Rodrigue formula for both the polynomials
|
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March Week 3
|
Laplace
integral representation of legendre polynomial, doubts regarding these two
polynomials
|
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March Week 4
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Vacation
|
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April Week 1
|
Laplace
transformation and its linearity property, existence theorem, shifting
theorem
|
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April Week 2
|
Laplace transform of
derivatives and integrals, differentiation and integration of Laplace
transformations
|
|
April Week 3
|
Convolution theorem,
inverse Laplace transformation
Inverse Laplace
transformation of derivative and integrals
|
|
April Week 4
|
Solution of ordinary
differential equation using Laplace transformation, fourier transformation
and its linearity property
|
|
May Week
1
|
Shifting and modulation of
Fourier transform, convolution theorem and related problems
|
|
May Week 2
|
Parseval identity for
Fourier transform, solution of ordinary differential equation using Fourier
transform
|
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May Week 3
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Exams
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Lesson Plan for B.A.
Pass Course 6th Semester
(Feb to May
2024)
Subject: Mathematics
Paper: Linear Algebra
|
Feb Week 2
|
Vector Space Definition and Examples, Subspaces
and related theorems
|
|
Feb Week 3
|
Linear sum and direct sum of subspaces, conditions
on a vector space to be direct sum, Linear span of vectors
|
|
Feb Week 4
|
Linearly independent and dependent sets with
related theorems
|
|
March Week
1
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Basis and dimension of a vector space, Existence
theorem for a finitely dimension vector space
|
|
March Week 2
|
Invariance of number of elements in basis,
Quotient space and its dimension
|
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March Week 3
|
Linear
transformations, vector space of all linear transformation on V, Dual and
bidual spaces
|
|
March Week 4
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Vacations
|
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April Week 1
|
Fundamental theorem on
vector space, Rank-nullity theorem
|
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April Week 2
|
Algebra of linear
transformations, singular and non-singular linear transformations
|
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April Week 3
|
Matrix of a linear
transformation, change in matrix for change in basis
|
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April Week 4
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Characteristic polynomial
of linear transformation, similar matrices, diagonalization
|
|
May Week
1
|
Inner product space,
Cauchy Schwartz inequality, orthogonal sets
|
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May Week 2
|
Bessel’s inequality, Gram
Schmidt orthogonalization process, Adjoint and normal operators
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May Week 3
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Revision
|
|
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|
Lesson Plan for B.A.
Pass Course 2nd Semester
(Feb to May
2024)
Subject: Mathematics
Paper: Number Theory
|
Feb Week 2
|
Divisibility, greatest common divisor, least
common multiple and related theorems
|
|
Feb Week 3
|
Prime and composite numbers, Linear congruences
|
|
Feb Week 4
|
Fermat’s and Wilson’s theorems and related
examples
|
|
March Week
1
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Euler’s phi function, Complete and reduce residue
system modulo m
|
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March Week 2
|
Euler’s generalization of Fermat’s theorem,
Chinese Remainder Theorem
|
|
March Week 3
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Quadratic
residue, Legender symbol, Gauss Lemma
|
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March Week 4
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Vacations
|
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April Week 1
|
Greatest Integer Function,
divisor function, sum function
|
|
April Week 2
|
Application of divisor
function, sum function, Test
|
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April Week 3
|
De Moivre’s theorem and
its application
|
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April Week 4
|
Expansion of trigonometric
function, Test
|
|
May Week
1
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Direct circular and
hyperbolic function, their properties
|
|
May Week 2
|
Logarithm of a complex
number, Gregory’s series, summation of trigonometric series
|
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May Week 3
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Revision
|
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|
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Lesson
Plan
|
Name of Assistant Professor
|
Sonu
Rani
|
|
Class and Semester
|
B.A. Semester-6
th
|
|
Subject
|
Mathematics
|
|
Paper
|
Real and Complex Analysis
|
|
|
|
FEB
|
|
Week
- 1
|
Jacobians, Beta and Gama functions.
|
|
Week
– 2
|
Double and Triple integrals, Dirichlets integrals.
|
|
Week
– 3
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change of order of integration in double integrals.
|
|
Week
– 4
|
Fourier’s series: Fourier expansion of piecewise
monotonic functions,
|
|
MARCH
|
|
Week
- 1
|
Properties of Fourier Co-efficients, Dirichlet’s
conditions,
|
|
Week
– 2
|
Parseval’s identity for Fourier series, Fourier
series for even and odd functions,
Half range series, Change of Intervals
|
|
Week
– 3
|
Extended Complex Plane, Stereographic projection,
continuity & differentiability of complex functions
|
|
Week
– 4
|
Vacation
|
|
|
APRIL
|
|
Week
-1
|
Analytic functions, Mappings by elementary
functions: Translation, rotation, Magnification and Inversion.
|
|
Week
– 2
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Conformal Mappings, Mobius transformations.
|
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Week
– 3
|
Fixed pints, Cross ratio, Inverse Points and
critical mappings.
|
|
Week
– 4
|
Revision
|
|
|
|
Lesson Plan for B.A.
Pass Course 6th Semester
Feb to May 2024
Subject: Mathematics
Paper: Special function and
integral transformation
|
Feb Week 2
|
Power series and its use in solving differential
equation, beta and gamma function with their properties
|
|
Feb Week 3
|
Bessel equation, Bessels function and its
properties
|
|
Feb Week 4
|
Convergence recurrence and orthogonality of Bessel
function
|
|
March Week
1
|
Legendre and Hermite functions, their recurrence
and generating function
|
|
March Week 2
|
Orthogonality of Legendre and Hermite polynomial,
Rodrigue formula for both the polynomials
|
|
March Week 3
|
Laplace
integral representation of legendre polynomial, doubts regarding these two
polynomials
|
|
March Week 4
|
Vacation
|
|
April Week 1
|
Laplace
transformation and its linearity property, existence theorem, shifting
theorem
|
|
April Week 2
|
Laplace transform of
derivatives and integrals, differentiation and integration of Laplace
transformations
|
|
April Week 3
|
Convolution theorem,
inverse Laplace transformation
Inverse Laplace
transformation of derivative and integrals
|
|
April Week 4
|
Solution of ordinary
differential equation using Laplace transformation, fourier transformation
and its linearity property
|
|
May Week
1
|
Shifting and modulation of
Fourier transform, convolution theorem and related problems
|
|
May Week 2
|
Parseval identity for
Fourier transform, solution of ordinary differential equation using Fourier
transform
|
|
May Week 3
|
Exams
|
|
|
|
|
|
|
|
|
|
|
Name of Assistant Professor
|
Sonu
Rani
|
|
Class and Semester
|
B.A. Semester-2
|
|
Subject
|
Mathematics
|
|
Paper
|
VECTOR CALCULUS
|
|
|
|
FEB
|
|
Week
- 1
|
Gradient of a scalar point function, geometrical
interpretation of grad F ,
|
|
Week
– 2
|
character of gradient as a point function.
|
|
Week
– 3
|
Divergence and curl of vector point function,
characters of Div fr and Curl fr as point function, examples.
|
|
Week
– 4
|
Gradient, divergence and curl of sums and product
and their related vector identities. Laplacian operator
|
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MARCH
|
|
Week
- 1
|
Orthogonal curvilinear coordinates Conditions for
orthogonality fundamental triad of mutually orthogonal unit vectors.
|
|
Week
– 2
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Gradient, Divergence, Curl
|
|
Week
– 3
|
Laplacian operators in terms of orthogonal
curvilinear coordinates, Cylindrical co-ordinates and Spherical co- ordinates
|
|
Week
– 4
|
Vector integration; Line integral. Surface integral,
Volume integral.
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APRIL
|
|
Week
– 1
|
Theorems of Gauss, Green & Stokes and problems
based on these theorems
|
|
Week
– 2
|
General equation of second degree,Tracing of
conics,Tangent at any point to the Conic
|
|
Week
– 3
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Chord
of contact,pole of line to conic,director circle of conic
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Week - 4
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Revision
and Class test
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| Sr.No | File Name | Uploaded Date | View |
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1
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LessonPlanHindi
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17/05/2024
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LessonPlanBCOM
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17/05/2024
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