🌿From (x, y) to (r, θ): Double Integrals & the Jacobian | Practice Questions 🌿

This is a live class recorded at LUMS, where I explain the core ideas students often struggle with before learning Gamma/Beta functions or multivariable calculus. In this session, we cover: What a double integral really means How it extends the idea of a single integral Visual meaning: area under a curve → volume under a surface Why we sometimes switch from to polar coordinates How substitution works in higher dimensions Understanding the Jacobian (why |J| = r in polar) Simple examples to build intuition This class is perfect for students who want a clean conceptual understanding of double integrals and coordinate transformation before moving on to advanced topics. --- 📌 Hashtags #DoubleIntegrals #PolarCoordinates #Jacobian #LUMS #MathematicalMethods #MultivariableCalculus #EconomicsMath #EMFSS #UOLLSE #MSEconomics #MathForEconomists #Calculus