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Dept. of Mathematics
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B.Sc Part-III Math Hons
By Dr. P.N.Singh, Dept. of Math
B.Sc Part-III Math Lec 01
B.Sc Part-III Math-Lec 02
B.Sc Part-III Math-Lec 03
B.Sc Part-III Math-Lec 04
Paper-5 Topic- Weighted Fit
Paper-5 Topic- Pivoting
Paper-5 Topic- Numerical analysis Sub topic- Matrix inverse
Paper-5 Topic – Numerical analysis Sub topic- Approximating functions
Paper – V Topic – Numerical Analysis Sub topic- Chebyshev polynomials
Paper-V Topic – Numerical analysis Sub topic- Laguerre and Hermite Polynomials
Paper – V Topic – Numerical Analysis Sub topic- Simpson and composite rule
Paper-5 Chapter – Numerical analysis Topic- Numerical integration Sub topic- some minor rules and singular and improper integrals
Paper-5 Chapter – Numerical analysis Topic- Numerical integration Sub topic- Gaussian integration
Paper-5 Chapter – Numerical analysis Topic- Numerical differentiation Sub topic- basic concepts
Paper-5 Chapter – Numerical analysis Topic- Numerical differentiation Sub topic- high degree formulas with solved examples
Paper-5 Chapter – Numerical analysis Topic- Non linear equations Sub topic- concept part 1
Paper-5 Chapter – Numerical analysis Topic- Non linear equations Sub topic- concept part 2 with examples
Paper-5 Chapter – Numerical analysis Topic- ODE, Boundary line value Sub topic- Linear differential equations
Paper-5 Chapter – Numerical analysis Topic- Matrix Eigen values Sub topic- basic and introduction
Paper-5 Chapter – Numerical analysis Topic- Matrix Eigenvalues Sub topic- QR decomposition
Paper-5 Chapter – Numerical analysis Topic- Matrix Eigenvalues Sub topic- QR decomposition
Paper-5 Chapter – algebra-3 Topic- basics and definition
Paper-5 Chapter – algebra-3 Topic- basics and definition Sub topic- caylay graphs
Paper-5 Chapter – algebra-3 Topic- basics and definition Sub topic- matrix groups and the quaternions
Paper-5 Chapter – algebra-3 Topic- Basic concepts Sub topic- constructing subgroup and cosets
Paper-5 Chapter – algebra-3 Topic- group theory Sub topic- Lagrange’s theorem and Natural sub groups and quotient groups
Paper-5 Chapter – algebra-3 Topic- group theory Sub topic- theorems of isomorphism
Paper-5 Chapter – algebra-3 Topic- group theory Sub topic- lattice of subgroup of a group and group action on set
Paper-5 Chapter – algebra-3 Topic- group theory Sub topic- lattice of subgroup of a group and group action on set part 2 and examples
Paper-5 Chapter – algebra-3 Topic- group theory Sub topic- cayleys theorem
Paper-5 Chapter – algebra-3 Topic- group theory Sub topic- Cauchy-frobenius formula
Paper-5 Chapter – algebra-3 Topic- group theorySub topic- application of Cauchy-frobenius formula
Paper-5 Chapter – algebra-3 Topic- group theory Sub topic- the simplicity of AĆ±
Paper-5 Chapter – algebra-3 Topic- group theory Sub topic- the p-group
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B.Sc Part-II Math Hons
By Dr. P.N.Singh, Dept Of Math
B.Sc Part-II Math Lec 01
B.Sc Part-II Math-Lec 02
B.Sc Part-II Math-Lec 03
B.Sc Part-II Math-Lec 04
B.Sc Part-II Math-Lec 05
B.Sc Part-II Math-Lec 06
Paper – 3 Topic- Dynamics Sub Topic- Two centres of force
Paper – 3 Topic- Rotating Tube
Paper – 3 Topic- Dynamics Sub topic- motion of string under action of given force
Paper-3 Topic – Dynamics Sub topic- Motion of free inextensible chain on a plane
Paper – III Topic -Dynamics Sub topic- Motion of free inextensible chain on a plane
Paper- III Topic – dynamics Sub topic- sudden change of motion in moving chain
Paper – III Topic – Dynamics Sub topic- kinematics introduction and basic
Paper – III Topic – Dynamics Sub topic- Hamilton’s theorem
Paper-III Chapter – Dynamics Topic – Kinematics Sub topic- Angular Velocity
Paper-3 Chapter – Dynamics Topic – Kinematics Sub topic- moving axes
Paper-3 Chapter – Dynamics Topic – Kinematic Sub topic- motion in three dimensions
Paper-3 Chapter – Dynamics Topic – Kinematics Sub topic- concept of moving axes in Three dimensions
Paper-3 Chapter – Dynamics Topic – Kinematics Sub topic- example and Euler’s geometrical equations
Paper-3 Chapter – Dynamics Topic – Kinematics Sub topic- rolling cones with some examples
Paper-3 Chapter – Dynamics Topic – Motion of a particle in three dimensions Sub topic basic terms and concept
Paper-3 Chapter – Dynamics Topic – Motion of a particle in three dimensions Sub topic- motion of heavy particle on vertical axis
Paper-3 Chapter – Dynamics Topic – Motion of a particle in three dimensions Sub topic- motion on a rough surface
Paper-3 Chapter – Dynamics Topic – Motion of a particle in three dimensions Sub topic- motion of a particle on a smooth plane tube
Paper-3 Chapter – Dynamics Topic – Motion of a particle in three dimensions Sub topic- motion of a particle on a revolving torturous smooth
Paper-3 Chapter – Dynamics Topic – Motion of a particle in three dimensions Sub topic- motion relative to the earth
Paper-3 Chapter – Dynamics Topic – moving of a particle in three dimensions Sub topic- axis fixed relative to earth and moving with it
Paper-3 Chapter – Dynamics Topic – moments of inertia Sub topic- basic definitions and concept
Paper-3 Chapter – Dynamics Topic – moments of inertia Sub topic- Ellipsoid of gyration
Paper-3 Chapter – Dynamics Topic – miscellaneous problem’s in rigid dynamics mainly two dimensional
Paper-3 Chapter – Dynamics Topic – miscellaneous problem’s in rigid dynamics mainly two dimensional
Paper-3 Chapter – Dynamics Topic -. Motion of a plane lamina with a curved boundary
Paper-3 Chapter – Dynamics Topic -. Sudden changes and initial motion and initial curvature
Paper-3 Chapter – Dynamics Topic -. Examples and oscillation of a heterogeneous sphere
Paper-3 Chapter – Dynamics Topic -. Miscellaneous topics and examples
Paper-3Chapter – DynamicsTopic -. Practice questions Sub topic- part-2
Paper-3 Chapter – Dynamics Topic -. Equation of motion and application on three dimensions Sub topic- Basics and few theorem
Paper-3 Chapter – Dynamics Topic -. Equation of motion and application on three dimensions Sub topic- momentum of a rigid body
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B.Sc Part-I Math Hons
By Dr. P.N Singh, Dept. Of Math
B.Sc Part-I Math Lec 01
B.Sc Part-I Math-Lec 02
B.Sc Part-I Math-Lec 03
B.Sc Part-I Math-Lec 04
B.Sc Part-I Math-Lec 05
B.Sc Part-I Math-Lec 06
Paper- 1 Topic – Linear Dependance of Vectors – I
Paper- 1 Topic – Linear Dependance of Vectors – II
Paper-1 Topic- THE n-VECTOR Scale and invariance of row rank
Paper-1 Topic – Rank of matrix Sub topic- minor and rank of matrix
Paper – I Topic – Rank of matrix (algebra) Sub Topic- Normal Form
Paper-I Topic – linear equations (algebra) Sub topic- solution of homogeneous linear equations
Paper-1 Topic – linear equations (algebra) Sub topic- solution of non homogeneous linear equations
Paper – 1 Topic – linear equations (algebra) Sub topic- characteristics roots and vectors
Paper-1 Chapter – algebra Topic – characteristics roots and vectors Sub topic- cayley-hamilton theorem
Paper-1 Chapter – algebra Topic – Theory of equations Sub topic- basic terms and theorem
Paper-1 Chapter – algebra Topic – Theory of equations Sub topic- forming equation and descrate’s rules of signs.
Paper-1 Chapter – algebra Topic – Theory of equations Sub topic- relation between root and coefficient, with practice questions
Paper-1 Chapter – algebra Topic – Theory of equations Sub topic- symmetric function, with practice questions
Paper-1 Chapter – algebra Topic – Theory of equations Sub topic- Transformation of equation
Paper-1 Chapter – algebra Topic – Theory of equations Sub topic- reciprocal equations
Paper-1 Chapter – algebra Topic – Theory of equations Sub topic- Operations related to equations
Paper-1 Chapter – algebra Topic – Theory of equations Sub topic- transformation in General
Paper-1 Chapter – algebra Topic – Theory of equations Sub topic- Cardon’s method
Paper-1 Chapter – algebra Topic – Theory of equations Sub topic- transformation of the biquadratic
Paper-1 Chapter – algebra Topic – Theory of equations Sub topic- Resolution of the biquadratic into quadratic factor
Paper-1 Chapter – algebra Topic – group Sub topic- basics and important theorems
Paper-1 Chapter – algebra Topic – group Sub topic- Composition table
Paper-1 Chapter – algebra Topic – group Sub topic- group tables and properties
Paper-1 Chapter – algebra Topic – group Sub topic- general properties of groups
Paper-1 Chapter – algebra Topic – group Sub topic- some definitions and alternative definition for a group
Paper-1 Chapter – algebra Topic – group Sub topic- Modulo system
Paper-1 Chapter – algebra Topic – group Sub topic- integral powers of an element
Paper-1 Chapter – algebra Topic – group Sub topic- cyclic group
Paper-1 Chapter – algebra Topic – group Sub topic- sub-groups
Paper-1 Chapter – algebraTopic – groupSub topic- sub-groups part-2
Paper-1 Chapter – algebra Topic – group Sub topic- algebra of complexes of a group
Paper-1 Chapter – algebra Topic – group Sub topic- concept of cosets
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