I found an interesting website with interactive demonstrations of numerous vector calculus concepts HERE. It's well worth your time to review the material on this website, especially the upcoming material on Green's Theorem and Stokes' Theorem.
Position: Associate Professor, Department of Electronics, Carleton University. Teaching: Graduate level courses on VLSI chip design and analog signal processing; Undergraduate level courses on electromagnetic theory, analog circuit design, and fundamental circuit analysis. Research: analog and mixed-signal ICs, optoelectronic devices and circuit interfaces, and sensors and sensor processing.
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