Numerical Analysis Notes PDF
Date: 4th Feb 2023
In these “Numerical Analysis Notes pdf”, we will study the various computational techniques to find an approximate value for possible root(s) of non-algebraic equations, to find the approximate solutions of system of linear equations and ordinary differential equations. Also, the use of Computer Algebra System (CAS) by which the numerical problems can be solved both numerically and analytically, and to enhance the problem-solving skills.
We have provided multiple complete numerical analysis handwritten notes pdf for any university student of BCA, MCA, BSc, BTech CSE, MTech branch to enhance more knowledge about the subject and to score better marks in the exam. Students can easily make use of all these numerical analysis handwritten notes pdf by downloading them.
Topics in our numerical analysis notes for bsc pdf
The topics we will cover in these numerical analysis notes for bsc pdf will be taken from the following list:
Methods for Solving Algebraic and Transcendental Equations: Algorithms, Convergence, Bisection method, False position method, Fixed point iteration method, Newton’s method, and Secant method.
Techniques to Solve Linear Systems: Partial and scaled partial pivoting, LU decomposition and its applications, Iterative methods: Gauss-Jacobi, Gauss-Seidel, and SOR methods.
Interpolation: Lagrange and Newton interpolation, Piecewise linear interpolation.
Numerical Differentiation and Integration: First and higher-order approximation for first derivative, Approximation for second derivative, Richardson extrapolation method.
Numerical integration by closed Newton-Cotes formulae: Trapezoidal rule, Simpson’s rule, and its error analysis; Euler’s method to solve ODE’s, Second-order Runge-Kutta Methods: Modified Euler’s method, Heun’s method, and optimal RK2 method.
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Author: Delhi University