Project for Numerical Analysis/matlab Program

Project for Numerical Analysis/matlab Program Problem 1: Linear System (1)    Program M-files for solving both upper triangular system by back-substitution and lower triangular system by forward substitution; (2)    Program an M-file for LU decomposition with partial pivots. (3)     . Problem 2: Non-Linear Equations (1)    Program M-files for bisection method, Newton’s method and Secant method for finding roots of equations (2)    Applying the above programs for the equation for 8 steps of iteration, with the numbers in Format Long. Problem 3: Numerical Integration (1)    Program M-files for the composite mid-point rule, composite trapezoid rule and composite Simpson’s rule; (2)    Applying the above to compute  with  , Problem 4: ODE-IVP (1)    Program M-files for Euler method and Runge-Kutta method for solving ODE. (2)    Applying the above for   on the interval  with