Course Content (Syllabus)
Error Theory, Solving Nonlinear Equations (Bisection Method, General Iterative Method, Fixed Point Method, Newton–Raphson Method), Solving Nonlinear Systems (Newton–Raphson Method), Numerical Linear Algebra, Linear Systems (Jacobi Method, Gauss–Seidel Method, LU Decomposition, Gauss Elimination Method), Polynomial Interpolation (Lagrange Polynomials, Newton Polynomials), Function Approximation using Least Squares, Numerical Integration (Rectangle Method, Trapezoidal Rule, Simpson’s Rule, 3/8 Rule), Numerical Methods for Differential Equations (Euler’s Method, 2nd Order Taylor Method, Trapezoidal Method, Solving Systems of Differential Equations using Euler’s Method), Applications of Numerical Analysis in Civil Engineering Science (Strength of Materials, Structural Dynamics, Electricity Markets, and Energy Models for Civil Engineers)
Keywords
Error Theory, Solving Nonlinear Equations, Bisection Method, General Iterative Method, Fixed Point Method, Newton–Raphson Method, Solving Nonlinear Systems, Numerical Linear Algebra, Linear Systems, Jacobi Method, Gauss–Seidel Method, LU Decomposition, Gauss Elimination Method, Polynomial Interpolation, Lagrange Polynomials, Newton Polynomials, Function Approximation using Least Squares, Numerical Integration, Rectangle Method, Trapezoidal Rule, Simpson’s Rule, 3/8 Rule, Numerical Methods for Differential Equations, Euler’s Method, 2nd Order Taylor Method