Understand the relationship between roots and coefficients of algebraic equations. Apply symmetric functions and transformation techniques to simplify equations. Solve algebraic and transcendental equations using numerical methods such as Iteration, Bisection, Newton-Raphson, and Regula-Falsi. Use Horner’s method for efficient polynomial evaluation. Solve systems of linear algebraic equations using Gauss Elimination and Gauss-Jordan methods. Implement iterative techniques such as Jacobi and Gauss-Seidel for large systems. Learn the concept of finite differences and apply Newton’s Forward and Backward Interpolation formulas. Construct and use divided difference tables for unequal intervals. Apply Newton’s Divided Difference and Lagrange’s Interpolation formulas for data estimation. Develop computational problem-solving skills relevant to science and engineering applications.
This course provides a comprehensive introduction to numerical methods used for solving mathematical problems that cannot be addressed analytically. It begins with the study of algebraic equations, emphasizing the relationship between roots and coefficients, and transformations of equations. Students explore various numerical techniques for finding real and complex roots of algebraic and transcendental equations, including the Bisection, Regula-Falsi, Newton-Raphson, and Iteration methods. The course further covers the solution of systems of linear equations using direct and iterative approaches such as Gauss Elimination, Gauss-Jordan, and Jacobi methods. Finite difference concepts are introduced to develop interpolation formulas for evenly spaced data, followed by advanced interpolation methods for unequal intervals using Newton’s Divided Difference and Lagrange’s formulas. The course aims to build analytical and computational skills for applying numerical techniques in science, engineering, and data analysis.
0 Reviews
To strive for academic excellence and impart quality education with emphasis on Electronics and Communication Engineering. - To inculcate the habit of executing effective implementation and rectification of Electronics Engineering problems in the minds of all concerned, which they can apply in their professional life in future.
