Numerical Methods in Engineering
( 25 Modules )

Module #1
Introduction to Numerical Methods
Overview of numerical methods, importance in engineering, and types of numerical methods

Module #2
Error Analysis
Sources of error, types of error, and error propagation in numerical methods

Module #3
Numerical Solution of Linear Algebraic Equations
Direct and iterative methods for solving systems of linear equations

Module #4
Gaussian Elimination
Implementation and example problems of Gaussian elimination method

Module #5
LU Decomposition
LU decomposition method for solving systems of linear equations

Module #6
Iterative Methods for Linear Systems
Jacobi, Gauss-Seidel, and SOR methods for solving systems of linear equations

Module #7
Eigenvalue and Eigenvector Computation
Power method, inverse power method, and QR algorithm for eigenvalue and eigenvector computation

Module #8
Numerical Differentiation
Finite difference methods for numerical differentiation

Module #9
Numerical Integration
Newton-Cotes formulas, Gaussian quadrature, and Monte Carlo methods for numerical integration

Module #10
Root Finding Methods
Bisection, Newton-Raphson, and secant methods for finding roots of nonlinear equations

Module #11
Numerical Solution of Ordinary Differential Equations
Eulers method, Runge-Kutta methods, and multistep methods for solving ODEs

Module #12
Finite Difference Method for PDEs
Finite difference method for solving partial differential equations

Module #13
Finite Element Method
Introduction to finite element method for solving PDEs

Module #14
Numerical Solution of Partial Differential Equations
Method of characteristics, finite difference method, and finite element method for solving PDEs

Module #15
Interpolation and Approximation
Lagrange interpolation, spline interpolation, and least squares approximation

Module #16
Curve Fitting
Linear and nonlinear regression, and polynomial curve fitting

Module #17
Numerical Methods for Optimization
Unconstrained and constrained optimization using numerical methods

Module #18
Introduction to MATLAB
Basic programming and numerical computations in MATLAB

Module #19
Numerical Methods in MATLAB
Implementation of numerical methods in MATLAB

Module #20
Case Study:Structural Analysis
Application of numerical methods to structural analysis problems

Module #21
Case Study:Fluid Dynamics
Application of numerical methods to fluid dynamics problems

Module #22
Case Study:Heat Transfer
Application of numerical methods to heat transfer problems

Module #23
Numerical Methods in Engineering Applications
Overview of numerical methods in various engineering fields

Module #24
Project Development
Development of a project using numerical methods in a specific engineering field

Module #25
Course Wrap-Up & Conclusion
Planning next steps in Numerical Methods in Engineering career

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Numerical Methods in Engineering ( 25 Modules )

Numerical Methods in Engineering
( 25 Modules )