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LESSON PLANNING PROGRAMME

Department	Faculty	Subject	Semester	Topic Type	Paper Type	Unit	Topic Desc	Sub Topic	Class
Mathematics	Tapas Das	MATHEMATICS (MAJOR )	1	Theory	Major-1	Unit 2	Vector spaces	Subspaces, algebra of subspaces	3
Mathematics	Nabanita Dey	MATHEMATICS (MINOR )	1	Theory	Minor-1	Unit I	Differential Calculus		10
Mathematics	Debashis Kumar Mandal	MATHEMATICS (MAJOR )	2	Theory	Major -2	Unit 3	convergence & divergence of infinite series	convergence & divergence of infinite series	2
Mathematics	Debashis Kumar Mandal	MATHEMATICS (MAJOR )	2	Theory	Major -2	Unit 2	sequence of real numbers	Cauchy's first and second limit theorems with problems	2
Mathematics	Debashis Kumar Mandal	MATHEMATICS (MAJOR )	2	Theory	Major -2	Unit 3	convergent and divergence of infinite series	cauchy's criterion of convergence series	1
Mathematics	Arpita Sikder	MATHEMATICS (MAJOR )	2	Theory	Major -2	Unit I	ordinary differential equation-1	Equation of first order and first degree	4
Mathematics	Arpita Sikder	MATHEMATICS (MAJOR )	2	Theory	Major -2	Unit I	Ordinary Differential Equation	Equation of First order but not of first degree	4
Mathematics	Arpita Sikder	MATHEMATICS (MAJOR )	2	Theory	Major -2	Unit I	Real analysis	Countable sets, Uncountable sets, Countability of R	2
Mathematics	Arpita Sikder	MATHEMATICS (MAJOR )	2	Theory	Major -2	Unit I	Real analysis	Bounded sets , Unbounded sets , suprema and infinima	2
Mathematics	Arpita Sikder	MATHEMATICS (MAJOR )	2	Theory	Major -2	Unit I	Real analysis	The Completeness Property of R, The Archimedean Property, Arithmetic Continum,Linear Continum, Density of Rational ( And Irrational) numbers in R	4
Mathematics	Nabanita Dey	MATHEMATICS (MAJOR )	2	Theory	Major -2	Unit 3	Differential Equation	Simultaneous linear differential equations	2
Mathematics	Debashis Kumar Mandal	MATHEMATICS (MAJOR )	2	Theory	Major -2	Unit 2	Sequence of a Real numbers	Nested interval theorem. Subsequences.	1
Mathematics	Arpita Sikder	MATHEMATICS (MAJOR )	2	Theory	Major -2	Unit I	Real analysis	The Completeness Property of R, The Archimedean Property, Arithmetic Continum,Linear Continum, Density of Rational ( And Irrational) numbers in R	4
Mathematics	BINA BHOWMIK	MATHEMATICS (MAJOR )	2	Theory	Major -2	Unit I	Real Analysis-I	: Review of Algebraic and Order Properties of R, d-neighborhood of a point set in R. Idea of countable sets, uncountable sets and uncountability of R. Bounded above sets, Bounded below sets, Bounded S	3
Mathematics	BINA BHOWMIK	MATHEMATICS (MAJOR )	2	Theory	Major -2	Unit I	Real Analysis-I	The Completeness Property of R. The Archimedean Property,Arithmetic continuum, Linear continuum. Density of Rational (and Irrational) numbers in R with special reference to well-ordering property.	3
Mathematics	BINA BHOWMIK	MATHEMATICS (MAJOR )	2	Theory	Major -2	Unit I	Real Analysis-I	Limit points of set, isolated points, open sets,closed sets, Derived set,Union,Intersection,Complement of open and closed set in R. Closure of a set and interior of a set	3
Mathematics	Debashis Kumar Mandal	MATHEMATICS (MAJOR )	2	Theory	Major -2	Unit 2	sequence of real numbers	Cauchy Sequence	0
Mathematics	Nabanita Dey	MATHEMATICS (MINOR )	2	Theory	Minor-2	Unit 3	Ordinary Differential Equation	Second order linear equations with variable co-efficients: Reduction of order when one solution is known.Complete solution.Reduction to Normal form. Change of independent variable.	4
Mathematics	Arpita Sikder	MATHEMATICS (MINOR )	2	Theory	Minor-2	Unit I	Differential Equation of first order and first degree	Homogeneous and Exact Equations	3
Mathematics	BINA BHOWMIK	MATHEMATICS (MINOR )	2	Theory	Minor-2	Unit 2	Partial Differential Equation	Solution of Non-linear partial differential equation by Charpit’s method	3
Mathematics	Debashis Kumar Mandal	MATHEMATICS (MINOR )	2	Theory	Minor-2	Unit 2	Ordinary Differential Equation	Method of variation of parameters.Cauchy-Euler’s homogeneous equation and Reduction to an equation with constant co-efficients.simple Eigen value problem.	5
Mathematics	Nabanita Dey	MATHEMATICS (MINOR )	2	Theory	Minor-2	Unit I	Ordinary Differential Equation	Orthogonal trajectories	2
Mathematics	Nabanita Dey	MATHEMATICS (MINOR )	2	Theory	Minor-2	Unit I	Partial Differential Equation	Partial Differential Equations – Basic concepts and definitions, Formation of PDE, Order and Degree of PDE, Types of PDE (Linear,semi-linear, quasi-linear). Solution of linear PDE by Lagrange’s Meth	8
Mathematics	Nabanita Dey	MATHEMATICS (MAJOR )	3	Theory	Major-3	Unit I	Boolean Algebra		10
Mathematics	BINA BHOWMIK	MATHEMATICS (MAJOR )	3	Theory	Major-4	Unit I	Partial Differential Equation	Basic concepts, definitions, formations,	2
Mathematics	BINA BHOWMIK	MATHEMATICS (MAJOR )	3	Theory	Major-4	Unit I	Partial Differential Equation	Geometrical Interpretation	2
Mathematics	BINA BHOWMIK	MATHEMATICS (MAJOR )	3	Practical	Major-4	Unit I	Partial Differential Equation	Plotting of a solution of Cauchy problem for first order PDE	4
Mathematics	Arpita Sikder	DSC-MTMG	4	Theory	DSC A4	Unit I	Algebra	Definition and Examoles of Groups , Abelian Groups and Non-Abelian Groups	3
Mathematics	BINA BHOWMIK	DSC-MTMG	4	Theory	SEC2	Unit I	Vector Calculus	Differentiation and partial differentiation of a vector function	4
Mathematics	BINA BHOWMIK	DSC-MTMG	4	Theory	SEC2	Unit I	Vector Calculus	Derivative of sum, dot product	5
Mathematics	BINA BHOWMIK	DSC-MTMG	4	Theory	SEC2	Unit I	Vector Calculus	cross product of two vectors.	5
Mathematics	BINA BHOWMIK	DSC-MTMG	4	Theory	SEC2	Unit I	Vector Calculus	Gradient, divergence and curl.	6
Mathematics	Arpita Sikder	DSC-MTMG	4	Theory	Select	Unit I	Algebra	Definition and examples of groups , examples of abellian and non-abelian groups .	2
Mathematics	Arpita Sikder	DSC-MTMG	4	Theory	Select	Unit I	Algebra	The group Zn of integers under addition modulo n and the gruop U(n) of units under multiplicationmodulo n , Cyclic Gruops.	2
Mathematics	Arpita Sikder	DSC-MTMG	4	Theory	Select	Unit I	Algebra	Complex roots of unity, circle gruop, The general linear group GLn(n.R),groups of symmetries of an isoceles triangle.	2
Mathematics	Arpita Sikder	DSC-MTMG	4	Theory	Select	Unit I	Algebra	Subgroups, Cyclic subgroups, the concept of a subgroup generated by a subset .	2
Mathematics	Arpita Sikder	DSC-MTMG	4	Theory	Select	Unit I	Algebra	NOrmal subgroups and Quotient Groups.	2
Mathematics	Arpita Sikder	MTMHCC	4	Theory	Core-10	Unit I	RING THEORY	integral domain	2
Mathematics	Arpita Sikder	MTMHCC	4	Theory	Core-10	Unit I	RING THEORY	fieds and its properties	2
Mathematics	Arpita Sikder	MTMHCC	4	Theory	Core-10	Unit I	RING THEORY	fieds and its properties	2
Mathematics	Arpita Sikder	MTMHCC	4	Theory	Core-10	Unit I	RING THEORY	Subrings	2
Mathematics	Arpita Sikder	MTMHCC	4	Theory	Core-10	Unit I	RING THEORY	Ideals	0
Mathematics	Arpita Sikder	MTMHCC	4	Theory	Core-10	Unit I	RING THEORY	Homomorphism	0
Mathematics	Arpita Sikder	MTMHCC	4	Theory	Core-10	Unit I	Ideals	Maximal and prime ideals	3
Mathematics	Nabanita Dey	MTMHCC	4	Theory	Core-8	Unit I	Multivariate Calculus	Directional derivatives, the gradient, maximal and normal property of the gradient, tangent planes, Extrema of functions of two variables, method of Lagrange multipliers, constrained optimization pr	5
Mathematics	Nabanita Dey	MTMHCC	4	Theory	Core-8	Unit 3	Vector Analysis	Definition of vector field, divergence and curl. Line integrals, applications of line integrals: mass and work. Fundamental theorem for line integrals, conservative vector fields, independence of path	7
Mathematics	Nabanita Dey	MTMHCC	4	Theory	Core-8	Unit 4	Vector Analysis	Green’s theorem, surface integrals, integrals over parametrically defined surfaces. Stokes theorem, The Divergence theorem.	5
Mathematics	BINA BHOWMIK	MTMHCC	4	Theory	Core-9	Unit I	Complex Analysis	Limits, Limits involving the point at infinity, continuity. Properties of complex numbers, regions in the complex plane, functions of complex variable, mappings	6
Mathematics	BINA BHOWMIK	MTMHCC	4	Theory	Core-9	Unit I	Complex Analysis	Derivatives, differentiation formulas, Cauchy-Riemann equations, sufficient conditions for differentiability. Milne’s method.	4
Mathematics	BINA BHOWMIK	MTMHCC	4	Theory	Core-9	Unit 2	Complex Analysis	Analytic functions, examples of analytic functions, exponential function, Logarithmic function, trigonometric function, derivatives of functions, definite integrals of functions.	4
Mathematics	Debashis Kumar Mandal	MTMHCC	4	Practical	Core-9	Unit I	Complex Analysis	Declaring a complex number	2
Mathematics	BINA BHOWMIK	MTMHCC	4	Theory	Core-9	Unit 2	Complex Analysis	Contours, Contour 18 integrals and its examples, upper bounds for moduli of contour integrals. Antiderivatives, proof of antiderivative theorem, Cauchy-Goursat theorem, Cauchy integral formula	5
Mathematics	BINA BHOWMIK	MTMHCC	4	Theory	Core-9	Unit 3	Complex Analysis	An extension of Cauchy integral formula, consequences of Cauchy integral formula. Mobius transformations.	5
Mathematics	Debashis Kumar Mandal	MTMHCC	4	Practical	Core-9	Unit I	Complex Analysis	Declaring a complex number & Discussing their algebra and then plotting them. (	4
Mathematics	Debashis Kumar Mandal	MTMHCC	4	Practical	Core-9	Unit I	Complex Analysis	Declaring a complex number & Discussing their algebra and then plotting them	2
Mathematics	Debashis Kumar Mandal	MTMHCC	4	Theory	SEC2	Unit 4	Graph Theory	adjacency matrix , incident matrix, weighted graph	2
Mathematics	Debashis Kumar Mandal	MTMHCC	4	Theory	SEC2	Unit I	Graph Theory	On counting trees, Spanning trees	1
Mathematics	Debashis Kumar Mandal	MTMHCC	4	Theory	SEC2	Unit I	Graph Theory	Rooted and Binary trees	1
Mathematics	Debashis Kumar Mandal	MTMHCC	4	Theory	SEC2	Unit 3	Graph theory	On counting trees, Spanning trees	2
Mathematics	Debashis Kumar Mandal	MTMHCC	4	Theory	SEC2	Unit 2	Graph Theory	Spanning trees	2
Mathematics	Debashis Kumar Mandal	MTMHCC	4	Theory	SEC2	Unit I	Graph Theory	Eulerian circuits, Eulerian graph,	2
Mathematics	Debashis Kumar Mandal	MTMHCC	4	Practical	Select	Unit I	Complex Analysis	(i) Declaring a complex number & Discussing their algebra and then plotting them. (ii) Finding conjugate, modulus and phase angle of an array of complex numbers.	8
Mathematics	BINA BHOWMIK	DSC-MTMG	5	Theory	DSE A1	Unit I	Linear Algebra	Linear transformations	2
Mathematics	BINA BHOWMIK	DSC-MTMG	5	Theory	DSE A1	Unit I	Linear Algebra	null space, range, rank and nullity of a linear transformation	6
Mathematics	BINA BHOWMIK	MTMHCC	5	Theory	Core-12	Unit I	Laplace Transform	Laplace of some standard functions,	3
Mathematics	BINA BHOWMIK	MTMHCC	5	Theory	Core-12	Unit I	Laplace Transform	Existence conditions for the Laplace Transform, Shifting theorems,	5
Mathematics	Arpita Sikder	MTMHCC	5	Theory	DSE1	Unit I	Linear progrmming and Game theory	Intoduction to Linear programming problem and Basic solutions of a set of simultaneous linear equations .	3
Mathematics	Nabanita Dey	MTMHCC	5	Theory	DSE2	Unit I	Intoduction to Integral Equation	Introduction and basic Examples. Classification, Conversion to Volterra Equation to ODE, Conversion of IVP and BVP to Integral equation, Decomposition, Direct Computation, Successive Approximation, Su	10
Mathematics	BINA BHOWMIK	MTMHCC	5	Theory	DSE2	Unit 3	Dynamical system	Formulation of physical system	2
Mathematics	BINA BHOWMIK	MTMHCC	5	Theory	DSE2	Unit 3	Dynamical system	Existence and uniqueness of solution of a dynamical system, linear system, solution of linear system, fundamental matrix	6
Mathematics	Nabanita Dey	DSC-MTMG	6	Theory	DSE A2	Unit I	Numerical Method	Lagrange and Newton interpolation: linear and higher order, finite difference operators. Numerical differentiation: forward difference, backward difference and central Difference. Integration: trapezo	10
Mathematics	Debashis Kumar Mandal	DSC-MTMG	6	Theory	SEC4	Unit 2	Graph theory	Eulerian circuits, Hamiltonian cycles,	1
Mathematics	Debashis Kumar Mandal	DSC-MTMG	6	Theory	SEC4	Unit I	Graph Theory	Shortest path	1
Mathematics	Debashis Kumar Mandal	DSC-MTMG	6	Theory	SEC4	Unit I	Graph Theory	Shortest path and applications	2
Mathematics	Debashis Kumar Mandal	DSC-MTMG	6	Theory	SEC4	Unit 2	Graph Theory	Representation of a graph by matrix, the adjacency matrix, incidence matrix,	3
Mathematics	Debashis Kumar Mandal	DSC-MTMG	6	Theory	SEC4	Unit I	Graph Theory	Trees and fundamental Circuits	5
Mathematics	Debashis Kumar Mandal	MTMHCC	6	Theory	Core-13	Unit 2	Dynamics of a particles	Equation of motion of a particles on the plane in polar coordinates	2
Mathematics	Debashis Kumar Mandal	MTMHCC	6	Theory	Core-13	Unit 2	Dynamics of a particles	Central orbits	4
Mathematics	Debashis Kumar Mandal	MTMHCC	6	Theory	Core-13	Unit 3	Dynamics of a particles	Planetary Motion	2
Mathematics	Debashis Kumar Mandal	MTMHCC	6	Theory	Core-13	Unit I	Dynamics of a particle	Expressions for velocity and acceleration of a particle moving on a plane in Cartesian and Polar coordinates	4
Mathematics	Debashis Kumar Mandal	MTMHCC	6	Theory	Core-13	Unit I	Dynamics of a particle	Simple Harmonic Motion. Problem and extra problem	1
Mathematics	Debashis Kumar Mandal	MTMHCC	6	Theory	Core-13	Unit I	Dynamics of a particle	Simple Harmonic Motion. Problem	2
Mathematics	Debashis Kumar Mandal	MTMHCC	6	Theory	Core-13	Unit I	Dynamics of a particle	Simple Harmonic Motion.	2
Mathematics	BINA BHOWMIK	MTMHCC	6	Theory	Core-14	Unit I	Numerical Methods	Errors: Relative, Absolute, Round off, Truncation.	4
Mathematics	BINA BHOWMIK	MTMHCC	6	Theory	Core-14	Unit I	Numerical Methods	Transcendental and Polynomial equations: Bisection method, Newton’s method, Secant method. Rate of convergence of these methods	6
Mathematics	BINA BHOWMIK	MTMHCC	6	Theory	Core-14	Unit I	Numerical Methods	System of linear algebraic equations: Gaussian Elimination and Gauss Jordan methods. Gauss Jacobi method, Gauss Seidel method and their convergence analysis	5
Mathematics	BINA BHOWMIK	MTMHCC	6	Theory	Core-14	Unit 2	Numerical Methods	Interpolation: Lagrange and Newton’s methods. Error bounds. Finite difference operators. Gregory forward and backward difference interpolation.	9
Mathematics	BINA BHOWMIK	MTMHCC	6	Theory	Core-14	Unit 3	Numerical Methods	Numerical Integration: Trapezoidal rule, Simpson’s 1/3rd rule. Composite Trapezoidal rule, Composite Simpson’s 1/3rd rule	5
Mathematics	BINA BHOWMIK	MTMHCC	6	Theory	Core-14	Unit 3	Numerical Methods	Ordinary Differential Equations: Euler’s method. Runge-Kuttmethod of orders two and four.a	4
Mathematics	BINA BHOWMIK	MTMHCC	6	Practical	Core-14	Unit 4	Numerical Integration	Trapezoidal Rule • Simpson’s one third rule	4
Mathematics	BINA BHOWMIK	MTMHCC	6	Practical	Core-14	Unit 4	Solution of transcendental and algebraic equations by	Bisection method • Newton Raphson method. • Regula Falsi method	6
Mathematics	BINA BHOWMIK	MTMHCC	6	Practical	Core-14	Unit 4	Solution of ordinary differential equations	Euler method • Runge- Kuttaa Method of orders two and fou	4
Mathematics	Arpita Sikder	MTMHCC	6	Theory	DSE3	Unit I	Number Theory	Linear Diophantine Equation	2
Mathematics	Arpita Sikder	MTMHCC	6	Theory	DSE3	Unit I	Number THEORY	The fundamental theorem of arithmetic, statement of prime numbers.	2
Mathematics	Arpita Sikder	MTMHCC	6	Theory	DSE3	Unit I	Number THEORY	Goldbach conjecture, linear Congruences, reduced and complete set of Residues.	2
Mathematics	Arpita Sikder	MTMHCC	6	Theory	DSE3	Unit I	Number THEORY	Chinese Remainder theorem,Fermats little theorem	2
Mathematics	Arpita Sikder	MTMHCC	6	Theory	DSE3	Unit I	Number THEORY	Wilson's theorem,Number theretic function	2
Mathematics	Arpita Sikder	MTMHCC	6	Theory	DSE3	Unit I	Number THEORY	Sum and number of divisors , multiplicative and totally multiplicative functions	2
Mathematics	Arpita Sikder	MTMHCC	6	Theory	DSE3	Unit I	Number theoretic function	Euler's phi function, Counting of numbrer of positive divisors and sum of positive divisors	4
Mathematics	Nabanita Dey	MTMHCC	6	Theory	DSE4	Unit 3	Boolean Algebra	Discrete Mathematics: Principle of inclusion and exclusion, Pigeon-hole principle, Finite combinatorics, Generating functions, Partitions, Recurrence relations, Linear difference equations with consta	10