Numerical Methods in MATLAB for Engineering Students Part 2

🧮 Master Interpolation & Curve Fitting Techniques with MATLAB!

🚀 Course Title: Numerical Methods in MATLAB for Engineering Students Part 2: Interpolation & Curve Fitting Techniques 📊🔬

👩‍🏫 Instructor: Cherish Qualls, PhD

Why This Course?

Interpolation and curve fitting are indispensable tools for engineers and scientists. They allow us to transform raw experimental data into mathematical models that can be used for prediction, analysis, and decision-making. In this course, we'll delve into the core numerical methods essential for any undergraduate Numerical Methods curriculum.

What You'll Learn:

Our journey through the world of numerical methods will cover a range of techniques:

• Least squares regression: Discover the workhorse of curve fitting and how to apply it effectively. 📈
• Polynomial regression: Understand the power of polynomials in capturing complex patterns in data. 🚀
• Lagrange interpolating polynomials: Master this classic method for finding polynomial approximations to discrete sets of points. 📐
• Newton's divided differences: Learn how to compute successive approximations to roots and function values. 🔢
• Linear splines: Explore the basics of piecewise linear interpolation. 🚧
• Quadratic splines: Dive deeper with quadratic functions for smoother transitions between data points. 🌟
• Cubic splines: Master the art of using cubic functions to create a smooth curve through a set of points. 🗺️
• MATLAB implementation of the methods: Translate these techniques into code and apply them within MATLAB's powerful environment. 🧪➡️💻

What You'll Get:

This comprehensive course includes:

• A downloadable outline of notes (.pdf file) to complement the lectures and ensure you stay engaged throughout your learning journey. 📎
• 14 downloadable MATLAB .m files, providing you with all the code examples used in the course for hands-on practice. 🖥️
• Easy-to-follow lecture videos that break down complex concepts into understandable segments. ▶️

Course Outcome:

Upon completion of this course, you will be equipped to:

• Generate curve fits for experimental data with confidence. 📊
• Interpolate data to obtain the best estimates and predictions. 🔍
• Be prepared to tackle numerical problems on paper or with MATLAB, should your university exams require it. ✏️

For Aspiring Programmers:

This course is not just for Numerical Methods students; it's also a fantastic opportunity to enhance your coding skills in MATLAB. You'll practice various programming concepts like if-else statements, for loops, and more, which are crucial for developing robust algorithms. 🧵

Whether you're an engineering student seeking to complement your studies or a coder aiming to expand your skillset, this course will provide you with the tools and knowledge to excel in interpolation and curve fitting. Enroll now and take your first step towards mastering numerical methods with MATLAB! 🚀🎓