What level of calc is this?

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>>8570233
Calc III

Spivak's Calculus On Manifolds

>>8570233
Calc III or Multivariable Calc

>>8570233
basic multivariable calculus

>>8570233
It's Calculus III, also known as Vectorial Calculus and Multivariable Calculus.

However, I must say that the later topics dealing with Line Integrals, Surface Integrals, Divergence and Curl are often left for the very last weeks of a normal university course and are only glanced over and badly explained, even though they lead to the most important applications of multivariable calculus in Electromagnetism, Fluid Mechanics and Thermodynamics.

>>8570233
>>8570241

Calculus 3 aka Multivariable Calculus aka Vector Calculus

>To learn more than the book what level would I look for

The list at the bottom:
http://4chan-science.wikia.com/wiki/Mathematics#Multivariable_and_Vector_Calculus

>>8570233
I thought BC only went as far as Calc II (improper integrals, L'Hospital's, Int by Parts, Series/Sequences)?

>>8570233
Frog tier

>>8570404

The exam does, but public school is daily, runs for more weeks than 2 college semesters, and the AP exams are in early May with the school year ending in June so the class typically covers more material to fill time.