Syllabus: Sem-III -CC-7 ( Numerical Methods & Numerical Methods Lab) Download syllabus (pdf)

A) Numerical error related discussions and different types of examples

Numerical errors (Numerical-error.pdf)

B) Discussion about the Bisection method for finding a real root of a given equation.

Bisection Method ( Num.Anal.-I.pdf )

C) Understanding Fixed-Point Iteration method

Fixed-Point Iteration Method ( Num.Anal. - II.pdf)

D) Finding real root of given equation by Newton-Raphson method

Newton-Raphson Method (Num.Anal. - III.pdf)

E) Discussion about the Regula Falsi and Secant methods for finding a real root of a given equation.

Regula Falsi Method and Secant Method (Regula & Scant method.pdf)

F) Derivation of Newton-Cotes integration formula, its properties and its usability to derive numerical integration formulas

Newton-Cotes integration formula (Newton-cotes.pdf)

G) Derivation of LU Factorisation method and its applications for solving system of linear equations

LU Factorisation Method (LU-factorization.pdf)

H) Deduction of Power method for finding eigenvalue having largest modulus and corresponding eigenvector

Power method (Power method.pdf)

Tutorial video

A) Bisection method ( Num.Anal.Video-I.mp4 )

B) Fixed-Point Iteration Method ( Num.Anal.Video - II.mp4 )

C) Newton-Raphson Method (Num.Anal. Video- III.mp4)

D) Regula Falsi and Secant Method (Num.Anal.Video - IV.mp4)