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Numerical Methods for Solving Nonlinear Equations: Bisection method, fixed point method, Newton’s method, secant method, multiple roots, modified Newton’s method, rate of convergence (error...
Inner product space and examples; solving ODEs with variable coefficients by power series method; Adjoint operators; turm-liouville theory; Orthogonal polynomials and special functions;...
Actuarial Mathematics II:  Net level premium reserves; multiple life functions; multiple decrements; the expense factor; special topics