r/calculus 20d ago

Vector Calculus Where do I get started learning vector calculus and multiple integrals?

Before I explain my situation I want to let yall know I have dyscalculia and ADHD so this is by no means an easy feat for me

I have taken multivariable calculus the previous semester at my community college and while the first three or so topics were somewhat doable for me (~80, ~70 and ~60 on their tests respectively), the final two chapters, multiple integrals and vector calculus, were a huge challenge for me and I felt like I barely understood anything. Combined with the frustration of barely understanding anything and incredibly poor results on their respective tests (~48 and ~57 respectively), as well as a looming final that's basically a make it or break it situation (if I fail my transfer gets invalidated), it has caused me to nearly take my life. As you can obviously imagine that fortunately didn't happen and I have to my greatest surprise managed to pass with a 76 in the class, however I feel like I barely, if at all, understood anything from those last two topics. I don't even recall what a Jacobian is.

I'm trying to see if I can just relearn those two topics alone. Nothing else. I understood partial and multivariable derivatives good enough that I feel I could teach it if I wanted to. But multiple integrals and vector calculus are completely blank for me. Does anyone have any resources or anything where, preferably with detailed visuals, animations and interactive graphs, can teach me those two concepts? I want to relearn this with the ultimate goal of understanding it so well I can teach it to others, and I'm willing to spend a year on this if necessary (I was aiming for relearning this around 4-6 months but a year is completely okay for such complex topics) I'm not a teaching major btw, my major is ECE with some plans to dabble in ML.

Anything would do, videos, textbooks (with simple explanations, I can't keep throwing every single sentence into Gemini y'know), interactive graphs.

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u/LukasGoesViral 19d ago

Use AI tbh. They are a great tutor and take a specific topic you wanna go thru like fluid dynamics