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Numerical Analysis Using MATLAB (8 Credit Hours)
EGP£800
عــن الكورس
Course Description
This course introduces the fundamentals of numerical analysis and its application using MATLAB. Designed for engineers and scientists, it focuses on solving mathematical problems through computational methods. You will learn to implement algorithms in MATLAB to address real-world engineering challenges effectively.
Topics Covered:
- Introduction to Numerical Analysis: Overview, importance, and applications in engineering and science.
- MATLAB Basics: Navigating MATLAB, writing scripts, and using built-in functions.
- Solving Linear Equations: Gaussian elimination, LU decomposition, and iterative methods.
- Numerical Differentiation and Integration: Techniques like trapezoidal and Simpson’s rule.
- Root Finding: Bisection, Newton-Raphson, and secant methods.
- Interpolation and Curve Fitting: Lagrange interpolation, Newton’s divided difference, and least-squares fitting.
- Eigenvalues and Eigenvectors: Numerical methods for matrix computations.
- Optimization: Basics of numerical optimization techniques.
- Hands-On Projects: Practical exercises and mini-projects using MATLAB.
Introduction to Numerical Analysis
4 أقسام
Course Overview
Basics Part I
Basics Part II
Basics Assignment
Solving Linear Equations
4 أقسام
Introduction
Direct Methods
Iterative Methods
Linear Equations Assignment
Solving Nonlinear Equations
5 أقسام
Introduction
Fixed Point Method
Bracketing Methods
Newton-Raphson Method
Nonlinear Equations Assignment
Polynomial Interpolation
3 أقسام
Introduction
Different Methods
Polynomial Interpolation Assignment
Numerical Integration
4 أقسام
Introduction
Trapezoidal and Simpson's Rules
Composite Rules
Numerical Integration Assignment
Solving Differential Equations
4 أقسام
Introduction
Taylor Series and Picard’s Methods
Euler's Method
Differential Equations Assignment
Introduction to Optimization
3 أقسام
Basic Concepts
Linear Programming Problem
Introduction to Optimization Assignment
