Numerical Methods in MATLAB for Engineering Students Part 2

Interpolation and curve fitting are essential skills for scientists and engineers who need to model experimental data mathematically. This course provides a comprehensive understanding of these techniques, commonly taught in undergraduate Numerical Methods courses. You'll gain practical experience implementing these methods using MATLAB, a powerful programming environment.

What You'll Learn:

• Least Squares Regression: A fundamental method for finding the best-fit curve to a set of data points.
• Polynomial Regression: Modeling data using polynomial functions.
• Lagrange Interpolating Polynomials: Constructing polynomials that pass through a specified set of data points.
• Newton's Divided Differences: Another method for polynomial interpolation.
• Linear Splines: Creating smooth curves using piecewise linear functions.
• Quadratic Splines: Extending spline interpolation using quadratic polynomials.
• Cubic Splines: Achieving even smoother curves with cubic polynomials.
• MATLAB Implementation: Hands-on experience applying these techniques using MATLAB code.

Course Benefits:

• Downloadable Resources: Access a detailed outline of lecture notes in PDF format for easy reference.
• MATLAB Code Files: Download 14 ready-to-use MATLAB .m files containing all the code demonstrated in the lectures.
• Engaging Video Lectures: Benefit from easy-to-follow video lectures that explain concepts clearly.

By the end of this course, you will be able to:

• Generate accurate curve fits for experimental data.
• Perform precise data interpolation to obtain reliable estimates.
• Confidently tackle Numerical Methods problems in your university coursework.
• Enhance your MATLAB programming skills through practical algorithm implementation, including experience with if-elseif statements and for loops.

This course is ideal for university students taking a Numerical Methods course and anyone looking to improve their data analysis and MATLAB proficiency. We’ll cover both theoretical concepts and practical application with both hand calculations and MATLAB examples, ensuring you're well-prepared for exams and real-world applications.