All Materials regarding to B.tech R-20 in Electrical and Electronics Engineering 1st Year 1st Semester with unit wise for Every Subjects are available.
👇👇Scroll Down for Important Questions and Topics Unit Wise 👇👇
| EEE 1-1 Mathematics 2 | ||
|---|---|---|
| Chapters / Units | Download Link | |
| 1 | Unit 1 | Download |
| 2 | Unit 2 | Download |
| 3 | Unit 3 | Download |
| 4 | Unit 4 | Download |
| 5 | Unit 5 | Download |
Eee 1-1 Mathematics 2 important Topics and 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 Elimination method – Eigen values 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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