FOURIER SERIES| PROBLEM 1|PDET|SNS INSTITUTIONS

#snsinstitutions #snsdesignthinkers #designthinking 🎯 What This Video Covers: In this session, you will learn: ✔️ What is a Fourier Series? A quick refresher on the concept of Fourier Series and how it helps express any periodic function as a sum of sine and cosine terms. ✔️ Working with the Interval [0, 2π] Understand how to modify standard Fourier formulas when the function is defined over 0 to 2π instead of -π to π. ✔️ How to Apply the Fourier Series Formula: We solve a full example problem, showing how to: Identify the function Compute the a₀ (average term) Compute the aₙ (cosine terms) Compute the bₙ (sine terms) Write the final Fourier series expression ✔️ Integration Techniques Explained Simply: We explain how to perform the integrations required for the coefficients, even if you're not confident in calculus. ✔️ Graphical Understanding (Optional): We briefly touch on how the resulting Fourier series helps you reconstruct or approximate the original function