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Name of the Associate Professor: Ms. Rohini Madaan Subject Lesson Plan: (January 01, 2018 to April 12, 2018) Month: January Month/ Week Class & Subject Topics to be covered Assignment/Tests January Week- 1 B.A. II & B.Sc. II (N.M.) Sec. A (Special Functions and Integral Transforms) Laplace Transform, Shifting Theorem B.Sc. III (N.M.), Sec. A & B (Numerical Analysis) Finite Difference Operator, Interpolation with equal intervals Class test of interpolation. Month/ Week Class & Subject Topics to be covered Assignment/ Tests January Week- 2 B.A. II & B.Sc. II (N.M.) Sec. A (Special Functions and Integral Transforms) Laplace Transformation of derivatives and integrals, differentiation and integration of Laplace Transform, Convolution Theorem Board presentation of Laplace Transform B.Sc. III (N.M.), Sec. A Newton’s Forward and Backward

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Page 1:  · Web view(Special Functions and Integral Transforms) Laplace Transformation of derivatives and integrals, differentiation and integration of Laplace Transform, Convolution Theorem

Name of the Associate Professor: Ms. Rohini Madaan Subject Lesson Plan: (January 01, 2018 to April 12, 2018) Month: January

Month/ Week

Class & Subject Topics to be covered Assignment/Tests

JanuaryWeek- 1

B.A. II & B.Sc. II (N.M.) Sec. A(Special Functions and Integral Transforms)

Laplace Transform, Shifting Theorem

B.Sc. III (N.M.), Sec. A & B (Numerical Analysis)

Finite Difference Operator, Interpolation with equal intervals

Class test of interpolation.

Month/ Week

Class & Subject Topics to be covered Assignment/Tests

JanuaryWeek- 2

B.A. II & B.Sc. II (N.M.) Sec. A(Special Functions and Integral Transforms)

Laplace Transformation of derivatives and integrals, differentiation and integration of Laplace Transform, Convolution Theorem

Board presentation of Laplace Transform

B.Sc. III (N.M.), Sec. A & B (Numerical Analysis)

Newton’s Forward and Backward Interpolation Formulae

Page 2:  · Web view(Special Functions and Integral Transforms) Laplace Transformation of derivatives and integrals, differentiation and integration of Laplace Transform, Convolution Theorem

Month/ Week

Class & Subject Topics to be covered Assignment/Tests

JanuaryWeek- 3

B.A. II & B.Sc. II (N.M.) Sec. A(Special Functions and Integral Transforms)

Inverse Laplace Transform, Inverse Laplace Transform of derivatives and Integrals

B.Sc. III (N.M.), Sec. A & B (Numerical Analysis)

Interpolation with unequal intervals Making assignments

Month/ Week

Class & Subject Topics to be covered Assignment/Tests

JanuaryWeek- 4

B.A. II & B.Sc. II (N.M.) Sec. A(Special Functions and Integral Transforms)

Solution of Ordinary Differential Equations using Laplace Transform

B.Sc. III (N.M.), Sec. A & B (Numerical Analysis)

Gauss Forward and Backward Formulae Class Test of Gauss forward formula

Page 3:  · Web view(Special Functions and Integral Transforms) Laplace Transformation of derivatives and integrals, differentiation and integration of Laplace Transform, Convolution Theorem

Month: February

Month/ Week

Class & Subject Topics to be covered Assignment/Tests

FebruaryWeek- 1

B.A. II & B.Sc. II (N.M.) Sec. A(Special Functions and Integral Transforms)

Fourier Transform

B.Sc. III (N.M.), Sec. A & B (Numerical Analysis)

Sterling and Bessel’s Formula Test of Bessel’s Formula

Month/ Week

Class & Subject Topics to be covered Assignment/Tests

FebruaryWeek- 2

B.A. II & B.Sc. II (N.M.) Sec. A(Special Functions and Integral Transforms)

Relation between Fourier and Laplace Transform, Parseval’s Identity

B.Sc. III (N.M.), Sec. A & B (Numerical Analysis)

Probability Distribution of Random Variable, Binomial Distribution

Presentation on Binomial Distribution

Month/ Week

Class & Subject Topics to be covered Assignment/Tests

FebruaryWeek- 3

B.A. II & B.Sc. II (N.M.) Sec. A(Special Functions and Integral Transforms)

Solution of Differential Equations using Fourier Transform

Page 4:  · Web view(Special Functions and Integral Transforms) Laplace Transformation of derivatives and integrals, differentiation and integration of Laplace Transform, Convolution Theorem

B.Sc. III (N.M.), Sec. A & B (Numerical Analysis)

Poisson’s Distribution and Normal Distribution

Month/ Week

Class & Subject Topics to be covered Assignment/Tests

FebruaryWeek- 4

B.A. II & B.Sc. II (N.M.) Sec. A(Special Functions and Integral Transforms)

Convergence of Power Series, Analytic Functions

B.Sc. III (N.M.), Sec. A & B (Numerical Analysis)

Numerical Differentiation

Month: March

Month/ Week

Class & Subject Topics to be covered Assignment/Tests

MarchWeek- 2

B.A. II & B.Sc. II (N.M.) Sec. A(Special Functions and Integral Transforms)

Frobenius Method

B.Sc. III (N.M.), Sec. A & B (Numerical Analysis)

Eigen Value Problems- Power Method, Jacobi’s Method

Month/ Class & Subject Topics to be covered Assignment/Tests

Page 5:  · Web view(Special Functions and Integral Transforms) Laplace Transformation of derivatives and integrals, differentiation and integration of Laplace Transform, Convolution Theorem

Week

MarchWeek- 3

B.A. II & B.Sc. II (N.M.) Sec. A(Special Functions and Integral Transforms)

Bessel’s Functions Making assignments of Bessel’s Functions

B.Sc. III (N.M.), Sec. A & B (Numerical Analysis)

House Holder’s method, QR-method, Lanczo’s method

Month/ Week

Class & Subject Topics to be covered Assignment/Tests

MarchWeek- 4

B.A. II & B.Sc. II (N.M.) Sec. A(Special Functions and Integral Transforms)

Legendre’s Equations Board test

B.Sc. III (N.M.), Sec. A & B (Numerical Analysis)

Numerical Integration

Month: April

Month/ Week

Class & Subject Topics to be covered Assignment/Tests

AprilWeek- 1

B.A. II & B.Sc. II (N.M.) Sec. A(Special Functions and Integral Transforms)

Hermite’s Equations Test of Hermite’s Equations

Page 6:  · Web view(Special Functions and Integral Transforms) Laplace Transformation of derivatives and integrals, differentiation and integration of Laplace Transform, Convolution Theorem

B.Sc. III (N.M.), Sec. A & B (Numerical Analysis)

Numerical Solutions of Ordinary Differential Equations

Month/ Week

Class & Subject Topics to be covered Assignment/Tests

AprilWeek- 2

B.A. II & B.Sc. II (N.M.) Sec. A(Special Functions and Integral Transforms)

Revision

B.Sc. III (N.M.), Sec. A & B (Numerical Analysis)

Revision

Page 7:  · Web view(Special Functions and Integral Transforms) Laplace Transformation of derivatives and integrals, differentiation and integration of Laplace Transform, Convolution Theorem

Name of the Assistant / Associate Professor: Dr. Smiti AggarwalSubject Lesson Plan: (January 01, 2018 to April 12, 2018)

Month: JanuaryMonth/ Week

Class & Subject Topics to be covered Assignment/Tests

JanuaryWeek- 1

B.Sc. I (N.M.) Sec A/Sec B(Ordinary Differential Equations)

Introduction to Differential Equations, Exact Differential Equations and Rules to find out Integral Factor

Class Test to find integral factor

B.Sc. II (N.M.) Sec. B(Sequence and Series)

Boundedness of set of real numbers, least upper bound, greatest lower bound of a set, neighbourhood, interior points, limit points

Oral test if definitions

B.Sc. III (N.M.) Sec A (Real and Complex Analysis)

Introduction of Fourier Series, Dirichlet’s Conditions and Fourier Expansion of Piecewise Monotonic Continuous Functions

Quiz competition

Class & Subject Topics to be covered Assignment/Tests

JanuaryWeek- 2

B.Sc. I (N.M.) Sec A/Sec B(Ordinary Differential Equations)

Introduction: Equations of First Order but not of First Degree, Equation Solvable for p, y and x

B.Sc. II (N.M.) Sec. B(Sequence and Series)

Open sets, closed sets, interior of a set, closure of a set in real numbers and their properties

Oral test if definitions

Page 8:  · Web view(Special Functions and Integral Transforms) Laplace Transformation of derivatives and integrals, differentiation and integration of Laplace Transform, Convolution Theorem

B.Sc. III (N.M.) Sec A (Real and Complex Analysis)

Expansion of Functions having point of Discontinuity

Month/ Week

Class & Subject Topics to be covered Assignment/Tests

JanuaryWeek- 3

B.Sc. I (N.M.) Sec A/Sec B(Ordinary Differential Equations)

Lagrange Equation, Clairaut’s Equation, p-discriminant and c-discriminant

Group Discussion

B.Sc. II (N.M.) Sec. B(Sequence and Series)

Bolzano- Weierstrass theorem, open covers, compact sets and Heine-Borel theorem

B.Sc. III (N.M.) Sec A (Real and Complex Analysis)

Change of Interval, Half Range Series, Parseval’s Identity for Fourier Series

Making assignments

Month/ Week

Class & Subject Topics to be covered Assignment/Tests

JanuaryWeek- 4

B.Sc. I (N.M.) Sec A/Sec B(Ordinary Differential Equations)

Method to Find out complete Primitive and Singular Solution

B.Sc. II (N.M.) Sec. B(Sequence and Series)

Sequence: real sequences and their convergence, Theorems on limit of sequence, bounded and monotonic sequences

Board presentation

B.Sc. III (N.M.) Sec A (Real and Complex Analysis)

Jacobians

Page 9:  · Web view(Special Functions and Integral Transforms) Laplace Transformation of derivatives and integrals, differentiation and integration of Laplace Transform, Convolution Theorem

Month: February

Month/ Week

Class & Subject Topics to be covered Assignment/Tests

FebruaryWeek- 1

B.Sc. I (N.M.) Sec A/Sec B(Ordinary Differential Equations)

Method to Find out complete Primitive and Singular Solution

Board Presentation

B.Sc. II (N.M.) Sec. B(Sequence and Series)

Cauchy sequence, Cauchy general principle of convergence, subsequences, subsequential limits

B.Sc. III (N.M.) Sec A (Real and Complex Analysis)

Beta Function Class Test

Month/ Week

Class & Subject Topics to be covered Assignment/Tests

FebruaryWeek- 2

B.Sc. I (N.M.) Sec A/Sec B(Ordinary Differential Equations)

Trajectory

B.Sc. II (N.M.) Sec. B(Sequence and Series)

Infinite series: Convergence and divergence of infinite series, Comparison tests of positive term infinite series, Cauchy’s general principle of convergence of series

Assignment on Parseval’s Identity

B.Sc. III (N.M.) Sec A (Real and Complex Analysis)

Gamma Function

Month/ Class & Subject Topics to be covered Assignment/Tests

Page 10:  · Web view(Special Functions and Integral Transforms) Laplace Transformation of derivatives and integrals, differentiation and integration of Laplace Transform, Convolution Theorem

Week

FebruaryWeek- 3

B.Sc. I (N.M.) Sec A/Sec B(Ordinary Differential Equations)

Complete Solution of Linear Differential Equation

B.Sc. II (N.M.) Sec. B(Sequence and Series)

Convergence and divergence of geometric series, Hyper Harmonic series, D’Alembert’s Ratio Test

B.Sc. III (N.M.) Sec A (Real and Complex Analysis)

Double Integral

Month/ Week

Class & Subject Topics to be covered Assignment/Tests

FebruaryWeek- 4

B.Sc. I (N.M.) Sec A/Sec B(Ordinary Differential Equations)

Homogenous Linear Equations

B.Sc. II (N.M.) Sec. B(Sequence and Series)

Raabe’s test, Logarithmic test, De Morgan and Bertrand’s test, Cauchy’s nth root test, Gauss test

Test of Power Series

B.Sc. III (N.M.) Sec A (Real and Complex Analysis)

Triple Integral

Page 11:  · Web view(Special Functions and Integral Transforms) Laplace Transformation of derivatives and integrals, differentiation and integration of Laplace Transform, Convolution Theorem

Month: March

Month/ Week

Class & Subject Topics to be covered Assignment/Tests

MarchWeek- 2

B.Sc. I (N.M.) Sec A/Sec B(Ordinary Differential Equations)

Linear Differential Equation of Second Degree Making assignments

B.Sc. II (N.M.) Sec. B(Sequence and Series)

Cauchy’s integral test, Cauchy’s condensation test

B.Sc. III (N.M.) Sec A (Real and Complex Analysis)

Stereographic Projection of Complex Numbers

Month/ Week

Class & Subject Topics to be covered Assignment/Tests

MarchWeek- 3

B.Sc. I (N.M.) Sec A/Sec B(Ordinary Differential Equations)

Solutions by Operators of Non-Homogenous Linear Differential Equations

B.Sc. II (N.M.) Sec. B(Sequence and Series)

Alternating series: Leibnitz’s test, absolute and conditional convergence

Making assignments of Bessel’s Functions

B.Sc. III (N.M.) Sec A (Real and Complex Analysis)

Cauchy-Riemann Equations, Harmonic Functions and Construction of an Analytic Function

Some problems related to analytical functions (assignment)

Month/ Class & Subject Topics to be covered Assignment/Tests

Page 12:  · Web view(Special Functions and Integral Transforms) Laplace Transformation of derivatives and integrals, differentiation and integration of Laplace Transform, Convolution Theorem

Week

MarchWeek- 4

B.Sc. I (N.M.) Sec A/Sec B(Ordinary Differential Equations)

Method of Variations of Parameters, Method of undetermined Coefficients

Class test

B.Sc. II (N.M.) Sec. B(Sequence and Series)

Arbitrary Series: Abel’s lemma, Dirichlet’s test, Riemann’s re-arrangement theorem

Board test

B.Sc. III (N.M.) Sec A (Real and Complex Analysis)

Elementary Functions and Mobius Transformation

Month: April

Month/ Week

Class & Subject Topics to be covered Assignment/Tests

AprilWeek- 1

B.Sc. I (N.M.) Sec A/Sec B(Ordinary Differential Equations)

Ordinary Simultaneous Differential Equations, Total Differential Equation

B.Sc. II (N.M.) Sec. B(Sequence and Series)

Pringsheim’s theorem, multiplication of series, Cauchy product of series, convergence and absolute convergence of infinite products

Test of Hermite’s Equations

B.Sc. III (N.M.) Sec A (Real and Complex Analysis)

Critical Mappings Assignment on different type of mappings

Month/ Week

Class & Subject Topics to be covered Assignment/Tests

Page 13:  · Web view(Special Functions and Integral Transforms) Laplace Transformation of derivatives and integrals, differentiation and integration of Laplace Transform, Convolution Theorem

AprilWeek- 2

B.Sc. I (N.M.) Sec A/Sec B(Ordinary Differential Equations)

General Method of Solving Pdx+Qdy+Rdz = 0 by taking one variable constant

B.Sc. II (N.M.) Sec. B(Sequence and Series)

Revision

B.Sc. III (N.M.) Sec A (Real and Complex Analysis)

Revision

Name of the Assistant / Associate Professor: Dr. MeenakashiSubject Lesson Plan: (January 01, 2018 to April 12, 2018)

Page 14:  · Web view(Special Functions and Integral Transforms) Laplace Transformation of derivatives and integrals, differentiation and integration of Laplace Transform, Convolution Theorem

Month: JanuaryMonth/ Week

Class & Subject Topics to be covered Assignment/Tests

JanuaryWeek- 1

B.A. (I)(Ordinary Differential Equations)

Introduction to Differential Equations, Exact Differential Equations and Rules to find out Integral Factor

Class Test to find integral factor

B.Sc. II (N.M.) Sec. A & Comp .Sc.(Sequence and Series)

Boundedness of set of real numbers, least upper bound, greatest lower bound of a set, neighbourhood, interior points, limit points

Oral test of definitions

B.Sc. III (Comp. Sc.) &B.A.III(Real and Complex Analysis)

Introduction of Fourier Series, Dirichlet’s Conditions and Fourier Expansion of Piecewise Monotonic Continuous Functions

Quiz competition

Class & Subject Topics to be covered Assignment/Tests

JanuaryWeek- 2

B.Sc. I (Comp. Sc.)(Ordinary Differential Equations)

Introduction: Equations of First Order but not of First Degree, Equation Solvable for p, y and x

B.Sc. II (N.M.) Sec. A & Comp .Sc.(Sequence and Series)

Open sets, closed sets, interior of a set, closure of a set in real numbers and their properties

Oral test of definitions

B.Sc. III (Comp. Sc.) &B.A.III(Real and Complex Analysis)

Expansion of Functions having point of Discontinuity

Page 15:  · Web view(Special Functions and Integral Transforms) Laplace Transformation of derivatives and integrals, differentiation and integration of Laplace Transform, Convolution Theorem

Month/ Week

Class & Subject Topics to be covered Assignment/Tests

JanuaryWeek- 3

B.Sc. I (Comp. Sc.)(Ordinary Differential Equations)

Lagrange Equation, Clairaut’s Equation, p-discriminant and c-discriminant

Group Discussion

B.Sc. II (N.M.) Sec. A & Comp. Sc.(Sequence and Series)

Bolzano- Weierstrass theorem, open covers, compact sets and Heine-Borel theorem

B.Sc. III (Comp. Sc.) &B.A.III(Real and Complex Analysis)

Change of Interval, Half Range Series, Parseval’s Identity for Fourier Series

Making assignments

Month/ Week

Class & Subject Topics to be covered Assignment/Tests

JanuaryWeek- 4

B.Sc. I (Comp. Sc.)(Ordinary Differential Equations)

Method to Find out complete Primitive and Singular Solution

B.Sc. II (N.M.) Sec. A & Comp. Sc.(Sequence and Series)

Sequence: real sequences and their convergence, Theorems on limit of sequence, bounded and monotonic sequences

Board presentation

B.Sc. III (Comp. Sc.) &B.A.III(Real and Complex Analysis)

Jacobians

Month: February

Month/ Class & Subject Topics to be covered Assignment/Tests

Page 16:  · Web view(Special Functions and Integral Transforms) Laplace Transformation of derivatives and integrals, differentiation and integration of Laplace Transform, Convolution Theorem

Week

FebruaryWeek- 1

B.Sc. I (Comp. Sc.)(Ordinary Differential Equations)

Method to Find out complete Primitive and Singular Solution

Board Presentation

B.Sc. II (N.M.) Sec. A & Comp. Sc.(Sequence and Series)

Cauchy sequence, Cauchy general principle of convergence, subsequences, subsequential limits

B.Sc. III (Comp. Sc.) &B.A.III(Real and Complex Analysis)

Beta Function Class Test

Month/ Week

Class & Subject Topics to be covered Assignment/Tests

FebruaryWeek- 2

B.Sc. I (Comp. Sc.)(Ordinary Differential Equations)

Trajectory

B.Sc. II (N.M.) Sec. A & Comp. Sc.(Sequence and Series)

Infinite series: Convergence and divergence of infinite series, Comparison tests of positive term infinite series, Cauchy’s general principle of convergence of series

Class test of sequences

B.Sc. III (Comp. Sc.) &B.A.III(Real and Complex Analysis)

Gamma Function

Month/ Week

Class & Subject Topics to be covered Assignment/Tests

B.Sc. I (Comp. Sc.) Complete Solution of Linear Differential Equation

Page 17:  · Web view(Special Functions and Integral Transforms) Laplace Transformation of derivatives and integrals, differentiation and integration of Laplace Transform, Convolution Theorem

FebruaryWeek- 3

(Ordinary Differential Equations)

B.Sc. II (N.M.) Sec. A & Comp. Sc.(Sequence and Series)

Convergence and divergence of geometric series, Hyper Harmonic series, D’Alembert’s Ratio Test

Test of p-series

B.Sc. III (Comp. Sc.) &B.A.III(Real and Complex Analysis)

Double Integral

Month/ Week

Class & Subject Topics to be covered Assignment/Tests

FebruaryWeek- 4

B.Sc. I (Comp. Sc.)(Ordinary Differential Equations)

Homogenous Linear Equations

B.Sc. II (N.M.) Sec. A & Comp. Sc.(Sequence and Series)

Raabe’s test, Logarithmic test, De Morgan and Bertrand’s test, Cauchy’s nth root test, Gauss test

T

B.Sc. III (Comp. Sc.) &B.A.III(Real and Complex Analysis)

Triple Integral

Month: March

Month/ Class & Subject Topics to be covered Assignment/Tests

Page 18:  · Web view(Special Functions and Integral Transforms) Laplace Transformation of derivatives and integrals, differentiation and integration of Laplace Transform, Convolution Theorem

Week

MarchWeek- 2

B.Sc. I (Comp. Sc.)(Ordinary Differential Equations)

Linear Differential Equation of Second Degree Making assignments

B.Sc. II (N.M.) Sec. A & Comp .Sc.(Sequence and Series)

Cauchy’s integral test, Cauchy’s condensation test

B.Sc. III (Comp. Sc.) &B.A.III(Real and Complex Analysis)

Stereographic Projection of Complex Numbers

Month/ Week

Class & Subject Topics to be covered Assignment/Tests

MarchWeek- 3

B.Sc. I (Comp. Sc.)(Ordinary Differential Equations)

Solutions by Operators of Non-Homogenous Linear Differential Equations

B.Sc. II (N.M.) Sec. A & Comp. Sc.(Sequence and Series)

Alternating series: Leibnitz’s test, absolute and conditional convergence

Assignments of convergence of series

B.Sc. III (Comp. Sc.) &B.A.III(Real and Complex Analysis)

Cauchy-Riemann Equations, Harmonic Functions and Construction of an Analytic Function

Some problems related to analytical functions (assignment)

Month/ Week

Class & Subject Topics to be covered Assignment/Tests

B.Sc. I (Comp. Sc.) Method of Variations of Parameters, Method of undetermined Coefficients

Class test

Page 19:  · Web view(Special Functions and Integral Transforms) Laplace Transformation of derivatives and integrals, differentiation and integration of Laplace Transform, Convolution Theorem

MarchWeek- 4

(Ordinary Differential Equations)

B.Sc. II (N.M.) Sec. A & Comp. Sc.(Sequence and Series)

Arbitrary Series: Abel’s lemma, Dirichlet’s test, Riemann’s re-arrangement theorem

Board test

B.Sc. III (Comp. Sc.) &B.A.III(Real and Complex Analysis)

Elementary Functions and Mobius Transformation

Month: April

Month/ Week

Class & Subject Topics to be covered Assignment/Tests

AprilWeek- 1

B.Sc. I (Comp. Sc.)(Ordinary Differential Equations)

Ordinary Simultaneous Differential Equations, Total Differential Equation

B.Sc. II (N.M.) Sec. A & Comp. Sc.(Sequence and Series)

Pringsheim’s theorem, multiplication of series, Cauchy product of series, convergence and absolute convergence of infinite products

Test of Hermite’s Equations

B.Sc. III (Comp. Sc.) &B.A.III(Real and Complex Analysis)

Critical Mappings Assignment on different type of mappings

Month/ Week

Class & Subject Topics to be covered Assignment/Tests

B.Sc. I (Comp. Sc.)(Ordinary Differential Equations)

General Method of Solving Pdx+Qdy+Rdz = 0 by taking one variable constant

Page 20:  · Web view(Special Functions and Integral Transforms) Laplace Transformation of derivatives and integrals, differentiation and integration of Laplace Transform, Convolution Theorem

AprilWeek- 2

B.Sc. II (N.M.) Sec. A & Comp. Sc.(Sequence and Series)

Revision

B.Sc. III (Comp. Sc.) &B.A.III(Real and Complex Analysis)

Revision

Name of the Assistant / Associate Professor: Ms. Renu RaniSubject Lesson Plan: (January 01, 2018 to April 12, 2018)Month: January

Page 21:  · Web view(Special Functions and Integral Transforms) Laplace Transformation of derivatives and integrals, differentiation and integration of Laplace Transform, Convolution Theorem

Month/ Week

Class & Subject Topics to be covered Assignment/Tests

JanuaryWeek- 1

B.Sc. I (Comp. Sc.)(Ordinary Differential Equations)

Introduction to Differential Equations, Exact Differential Equations and Rules to find out Integral Factor

Class Test to find integral factor

B.Sc. II (N.M.) Sec. B(Special Functions and Integral Transforms)

Laplace Transform, Shifting Theorem

B.Sc. III (Comp. Sc.) &B.A.III(Real and Complex Analysis)

Introduction of Fourier Series, Dirichlet’s Conditions and Fourier Expansion of Piecewise Monotonic Continuous Functions

Quiz competition

Class & Subject Topics to be covered Assignment/Tests

JanuaryWeek- 2

B.Sc. I (Comp. Sc.)(Ordinary Differential Equations)

Introduction: Equations of First Order but not of First Degree, Equation Solvable for p, y and x

B.Sc. II (N.M.) Sec. B(Special Functions and Integral Transforms)

Laplace Transformation of derivatives and integrals, differentiation and integration of Laplace Transform, Convolution Theorem

Board presentation of Laplace Transform

B.Sc. III (Comp. Sc.) &B.A.III(Real and Complex Analysis)

Expansion of Functions having point of Discontinuity

Page 22:  · Web view(Special Functions and Integral Transforms) Laplace Transformation of derivatives and integrals, differentiation and integration of Laplace Transform, Convolution Theorem

Month/ Week

Class & Subject Topics to be covered Assignment/Tests

JanuaryWeek- 3

B.Sc. I (Comp. Sc.)(Ordinary Differential Equations)

Lagrange Equation, Clairaut’s Equation, p-discriminant and c-discriminant

Group Discussion

B.Sc. II (N.M.) Sec. B(Special Functions and Integral Transforms)

Inverse Laplace Transform, Inverse Laplace Transform of derivatives and Integrals

B.Sc. III (Comp. Sc.) &B.A.III(Real and Complex Analysis)

Change of Interval, Half Range Series, Parseval’s Identity for Fourier Series

Making assignments

Month/ Week

Class & Subject Topics to be covered Assignment/Tests

JanuaryWeek- 4

B.Sc. I (Comp. Sc.)(Ordinary Differential Equations)

Method to Find out complete Primitive and Singular Solution

B.Sc. II (N.M.) Sec. B(Special Functions and Integral Transforms)

Solution of Ordinary Differential Equations using Laplace Transform

Board presentation

B.Sc. III (Comp. Sc.) &B.A.III(Real and Complex Analysis)

Jacobians

Month: February

Page 23:  · Web view(Special Functions and Integral Transforms) Laplace Transformation of derivatives and integrals, differentiation and integration of Laplace Transform, Convolution Theorem

Month/ Week

Class & Subject Topics to be covered Assignment/Tests

FebruaryWeek- 1

B.Sc. I (Comp. Sc.)(Ordinary Differential Equations)

Method to Find out complete Primitive and Singular Solution

Board Presentation

B.Sc. II (N.M.) Sec. B(Special Functions and Integral Transforms)

Fourier Transform

B.Sc. III (Comp. Sc.) &B.A.III(Real and Complex Analysis)

Beta Function Class Test

Month/ Week

Class & Subject Topics to be covered Assignment/Tests

FebruaryWeek- 2

B.Sc. I (Comp. Sc.)(Ordinary Differential Equations)

Trajectory

B.Sc. II (N.M.) Sec. B(Special Functions and Integral Transforms)

Relation between Fourier and Laplace Transform, Parseval’s Identity

Assignment on Parseval’s Identity

B.Sc. III (Comp. Sc.) &B.A.III(Real and Complex Analysis)

Gamma Function

Month/ Class & Subject Topics to be covered Assignment/Tests

Page 24:  · Web view(Special Functions and Integral Transforms) Laplace Transformation of derivatives and integrals, differentiation and integration of Laplace Transform, Convolution Theorem

Week

FebruaryWeek- 3

B.Sc. I (Comp. Sc.)(Ordinary Differential Equations)

Complete Solution of Linear Differential Equation

B.Sc. II (N.M.) Sec. B(Special Functions and Integral Transforms)

Solution of Differential Equations using Fourier Transform

B.Sc. III (Comp. Sc.) &B.A.III(Real and Complex Analysis)

Double Integral

Month/ Week

Class & Subject Topics to be covered Assignment/Tests

FebruaryWeek- 4

B.Sc. I (Comp. Sc.)(Ordinary Differential Equations)

Homogenous Linear Equations

B.Sc. II (N.M.) Sec. B(Special Functions and Integral Transforms)

Convergence of Power Series, Analytic Functions Test of Power Series

B.Sc. III (Comp. Sc.) &B.A.III(Real and Complex Analysis)

Triple Integral

Month: March

Page 25:  · Web view(Special Functions and Integral Transforms) Laplace Transformation of derivatives and integrals, differentiation and integration of Laplace Transform, Convolution Theorem

Month/ Week

Class & Subject Topics to be covered Assignment/Tests

MarchWeek- 2

B.Sc. I (Comp. Sc.)(Ordinary Differential Equations)

Linear Differential Equation of Second Degree Making assignments

B.Sc. II (N.M.) Sec. B(Special Functions and Integral Transforms)

Frobenius Method

B.Sc. III (Comp. Sc.) &B.A.III(Real and Complex Analysis)

Stereographic Projection of Complex Numbers

Month/ Week

Class & Subject Topics to be covered Assignment/Tests

MarchWeek- 3

B.Sc. I (Comp. Sc.)(Ordinary Differential Equations)

Solutions by Operators of Non-Homogenous LinearDifferentialEquations

B.Sc. II (N.M.) Sec. B(Special Functions and Integral Transforms)

Bessel’s Functions Making assignments of Bessel’s Functions

Page 26:  · Web view(Special Functions and Integral Transforms) Laplace Transformation of derivatives and integrals, differentiation and integration of Laplace Transform, Convolution Theorem

B.Sc. III (Comp. Sc.) &B.A.III(Real and Complex Analysis)

Cauchy-Riemann Equations, Harmonic Functions and Construction of an Analytic Function

Some problems related to analytical functions (assignment)

Month/ Week

Class & Subject Topics to be covered Assignment/Tests

MarchWeek- 4

B.Sc. I (Comp. Sc.)(Ordinary Differential Equations)

Method of Variations of Parameters, Method of undetermined Coefficients

Class test

B.Sc. II (N.M.) Sec. B(Special Functions and Integral Transforms)

Legendre’s Equations Board test

B.Sc. III (Comp. Sc.) &B.A.III(Real and Complex Analysis)

Elementary Functions and Mobius Transformation

Month: April

Month/ Week

Class & Subject Topics to be covered Assignment/Tests

AprilWeek- 1

B.Sc. I (Comp. Sc.)(Ordinary Differential Equations)

Ordinary Simultaneous Differential Equations, Total Differential Equation

B.Sc. II (N.M.) Sec. B(Special Functions and Integral

Hermite’s Equations Test of Hermite’s Equations

Page 27:  · Web view(Special Functions and Integral Transforms) Laplace Transformation of derivatives and integrals, differentiation and integration of Laplace Transform, Convolution Theorem

Transforms)

B.Sc. III (Comp. Sc.) &B.A.III(Real and Complex Analysis)

Critical Mappings Assignment on different type of mappings

Month/ Week

Class & Subject Topics to be covered Assignment/Tests

AprilWeek- 2

B.Sc. I (Comp. Sc.)(Ordinary Differential Equations)

General Method of Solving Pdx+Qdy+Rdz = 0 by taking one variable constant

B.Sc. II (N.M.) Sec. B(Special Functions and Integral Transforms)

Revision

B.Sc. III (Comp. Sc.) &B.A.III(Real and Complex Analysis)

Revision