Numerical Methods in MATLAB for Engineering Students Part 1

Numerical Methods, also known as Numerical Analysis, is a fundamental course for many engineering degree programs. This course provides a comprehensive understanding of essential numerical analysis techniques, with a strong focus on root finding and numerical integration, commonly taught at the undergraduate level.

We leverage MATLAB, a widely used tool in engineering and industry, to demonstrate practical application. You'll learn how to successfully code each method, significantly enhancing your coding skills. This course bridges the gap between theory and practice, covering both the underlying mathematical principles and the practical coding aspects.

The course structure involves working through examples by hand, followed by corresponding MATLAB implementations.

Key topics covered include:

• Root Finding:

  • Bisection Method: A foundational technique for finding roots.
  • Newton's Method (Newton-Raphson): An iterative method for finding roots, known for its efficiency.
  • Secant Method: Another iterative root-finding technique.
  • MATLAB coding for all root-finding methods.

• Numerical Integration:

  • Rectangle Method: A basic method for approximating definite integrals.
  • Midpoint Method: An improved method for numerical integration.
  • Trapezoidal Method: Another popular method for approximating integrals.
  • Simpson's Method: A more accurate method for numerical integration.
  • MATLAB coding for all numerical integration methods.

To support your learning, downloadable resources are provided:

• A detailed outline of notes containing all example problem statements.
• Complete MATLAB codes to run all the examples, enabling hands-on practice.

This course is ideal for students looking to strengthen their analytical and computational abilities in engineering applications.