Syllabus
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Course Code: Elective 3 OEM21- 316 Course Name: Basic Mathematics-II * |
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| MODULE NO / UNIT | COURSE SYLLABUS CONTENTS OF MODULE | NOTES |
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| 1 | Solution of Polynomial and Transcendental Equations: Bisection method, secant method,
Regula-Falsi method, Newton-Raphson method. Solution of Systems of Linear Equations: Gauss elimination method, Gauss-Jordan method, Triangularization method. |
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| 2 | Iterative methods for Solving Systems of Linear Equations: Jacobi method, Gauss-Seidel
iteration method. Curve fitting: Least-square approximation for fitting a straight line and polynomials of given degree. |
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| 3 | Numerical Differentiation: Methods based on Newton’s forward difference formula, Newton’s
forward difference formula and Sterling’s formula. Numerical Integration: Trapezoidal rule, Simpson’s 1/3 rule, Simpson’s 3/8 rule, Romberg integration, Newton-Cotes integration formula. |
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| 4 | Solution of Differential Equations: Initial value problem; Taylor series method, Picard method of successive approximation, Euler’s method, Runge-Kutta methods of second order and fourth order. | |
