All Materials regarding to B.tech R-20 in Computer Science Engineering with unit wise for Every Subjects are available.
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| CSE 1-2 M2 | ||
|---|---|---|
| S.No | Chapters / Units | Download Link |
| 1 | Unit 1 | Download |
| 2 | Unit 2 | Download |
| 3 | Unit 3 | Download |
| 4 | Unit 4 | Download |
| 5 | Unit 5 | Download |
CSE 1-2 M2 Important Topics Questions
UNIT – I:
Solving systems of linear equations, Eigen values and Eigen vectors: (10hrs)
Rank of a matrix by echelon form and normal form – Solving system of homogeneous and non-
homogeneous linear equations – Gauss Eliminationmethod – Eigenvalues and Eigen vectors and
properties (article-2.14 in text book-1).
Unit – II:
Cayley–Hamilton theorem and Quadratic forms: (10hrs)
Cayley-Hamilton theorem (without proof) – Applications – Finding the inverse and power of a matrix
by Cayley-Hamilton theorem – Reduction to Diagonal form – Quadratic forms and nature of the
quadratic forms – Reduction of quadratic form to canonical forms by orthogonal transformation.
Singular values of a matrix, singular value decomposition (text book-3).
UNIT – III:
Iterative methods: (8 hrs)
Introduction– Bisection method–Secant method – Method of false position– Iteration method –
Newton-Raphson method (One variable and simultaneous Equations) – Jacobi and Gauss-Seidel
methods for solving system of equations numerically.
UNIT – IV:
Interpolation: (10 hrs)
Introduction– Errors in polynomial interpolation – Finite differences– Forward differences– Backward
differences –Central differences – Relations between operators – Newton’s forward and backward
formulae for interpolation – Interpolation with unequal intervals – Lagrange’s interpolation formula–
Newton’s divide difference formula.
UNIT – V:
Numerical differentiation and integration, Solution of ordinary differential equations
with initial conditions: (10 hrs)
Numerical differentiation using interpolating polynomial – Trapezoidal rule– Simpson’s 1/3rd and 3/8th
rule– Solution of initial value problems by Taylor’s series– Picard’s method of successive
approximations– Euler’s method –Runge-Kutta method (second and fourth order)
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