#surface integrals

[thenerdy-one-blog]

To all mathematicians or maths undergrad students!

I am in desperate need for help with my calculus 3 homework, there are just a couple questions I’m hopelessly stuck on. The subjects are path and surface integrals. Any help would be gratefully appreciated so if anyone can help please reply to this or send me a message! It’s Monday night now and this homework is due 15:00 Wednesday so any help before then will be amazing! Thank you!

[crazysquirrelypuppy-blog]

You know... math teachers should be required to take at least a few art classes so they can properly sketch a visual representation of what they’re teaching

[maryssnotes]

[mathwork]

[tswlft]

I hold my self to a certain rigour when it comes to understanding maths. Like most people are content with regurgitating formulas and cramming for exams. Whereas I dont claim to understand something until i really know the nooks and crannies and have a total intuitive comprehension of what's going on. And its truly 110% why i was so successful in year 12, cause I knew that syllabus like the back of my hand. There was nothing you could throw at me that I was not prepared for or have not seen. It's obvious that some people don't pursue that type of understanding, cause I was talking to some people the other day about tutoring and they don't want to tutor because they are too afraid of teaching them the wrong stuff, or having a misunderstanding that transfers to the student. Whereas I have never had the hesitation because I know I can tutor year 11 and 12 maths and physics with 100% understanding and not be afraid Im telling them the wrong thing. I strive to teach them everything in an intuitive way, and get them as comfortable with it as I am. Like you gotta just know that course inside and out if you want to be successful. You cant be getting into an exam and look at a question and having no idea where to start because you have not seen something like that, or not have the skills and understanding to tackle a problem you've never seen. They go hand in hand.

Moral of the story I have spent this weekend understanding line and surface integrals and integrals over R^3. Green's, Stokes' and Gauss' Theorems. And I I have a good intuitive foundation for these theorems now, and can relate them all to each other. I owe large part of that understand to Khan Academy. Who shares my belief in having intuitive understanding of a topic is 12/10 the most important thing. So it annoys me when I say, I dont understand something. And somewhen else is like 'oh its eassy its just this formula' and then Im like 'okay, explain it to me'. And literally 9/10 they cant. Like that is not understanding it. If you call that understanding then I understand it 12x better than you and I still claim I don't understand. I bet the majority of people in my multivariable and complex calculus have no idea what a line integral actually represents. But in saying all of this intuitively understanding something is nothing if you don't actually know the definition and can answer real questions. Its interesting though cause a postgrad was talking about this the other day and was lke 'you dont have to understand any of it, just know how to use the formulas and answer questions, it will all make sense and you'll understand it next year'. Which is true, you never understand something that well when you're being taught it, but the next year when you use those results it all sorta comes full circle and you get it. But why wait? Try your best to be at that level now and then you cant get fucked over in an exam.

Long story short, basic ass niggas, get on my level.