Month: February Month/ Week Class & Subject Topics to be covered Assignment/Tests February Week- 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 February Week- 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 February Week- 3 B.A. II & B.Sc. II (N.M.) Sec. A (Special Functions and Integral Transforms) Solution of Differential Equations using Fourier Transform
Month/ Week Class & Subject Topics to be covered Assignment/Tests March Week- 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 March Week- 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 April Week- 1 B.A. II & B.Sc. II (N.M.) Sec. A (Special Functions and Integral Transforms) Hermite’s Equations Test of Hermite’s Equations
Month/ Week Class & Subject Topics to be covered Assignment/Tests February Week- 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 February Week- 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
Month: March Month/ Week Class & Subject Topics to be covered Assignment/Tests March Week- 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 March Week- 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/ Week Class & Subject Topics to be covered Assignment/Tests March Week- 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 April Week- 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
Name of the Assistant / Associate Professor: Dr. Meenakashi 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. (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 January Week- 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
Month: February Month/ Week Class & Subject Topics to be covered Assignment/Tests February Week- 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 February Week- 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: March Month/ Week Class & Subject Topics to be covered Assignment/Tests March Week- 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 March Week- 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 March Week- 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. 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 April Week- 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 April Week- 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. 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 Rani 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.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 January Week- 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 Month/ Week Class & Subject Topics to be covered Assignment/Tests January Week- 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 January Week- 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
Week- 2 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/ Week Class & Subject Topics to be covered Assignment/Tests February Week- 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 February B.Sc. I (Comp. Sc.) (Ordinary Differential Equations) Homogenous Linear Equations
Month/ Week Class & Subject Topics to be covered Assignment/Tests March Week- 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 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 March Week- 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