Accelerated Multivariable Calc · Mathematics
Coordinate systems, vectors, vector-valued functions, partial differentiation and applications, multiple integrals, line integrals, surface integrals
This class covers the content in multivariable calculus such as vectors, space curves, and derivatives and integrals of functions of three or more variables.
Coordinate systems (cylindrical, spherical, polar), vector spaces, continuity, limits, and differentiation for vector-valued and multivariable functions, equation of and approximation using the tangent plane, directional derivatives and the gradient, Lagrange multipliers and optimization, finding maxima and minima for multivariable functions, iterated integrals and normal domains, changing coordinates for multivariable functions -- integrating in polar, cylindrical, and spherical coordinates. Line integrals: Stokes', Green's, and the Divergence theorem.
New quizzes, 2 midterms, and a final, and homework after every class.
20% homework (weekly problem sets), can be hard/time-consuming if you don't fully understand the material (oops) 20% each midterm 40% final
Weekly psets, 2 midterms and a final. He gives out practice exams that sometimes are similar to the real one and sometimes completely different.
Great course. Designed with an introduction to higher mathematics in mind, as a lot of the items in MVC were also related to general relativity, electromagnetism, fluids, and complex variables.
vectors, lines in vector form, planes in vector form vector-valued functions, multivariable functions, limits of multivariable functions and vector-valued functions derivatives and integration of vector valued functions partial derivatives, finding extreme for multivariable functions, lagrange multipliers, differentiability and continuity of multivariable functions double and triple integrals, line integrals, surface integrals, vector fields and vector calculus green's theorem, fubini's theorem, stoke's theorem, some epsilon delta proofs
Partial Derivatives, Double and Triple Integrals, Green's Theorem, Stoke's Theorem, Divergence Theorem
DO NOT TAKE THIS CLASS WITH MU-TAO. I don't know if it was the TA or Mu-Tao, but the midterms and quizzes (which there were 6-7 of) were so unbelievably harder than the homework assignments, examples in class, and practice midterms. the practice tests he provided were so much easier and not at all comparable to the actual exams. The TA was willing to help during office hours, but he made a lot of questions over-complicated. I would not take this class if you aren't hella smart. If you're average, do not take it. Do not take this class please. There is a homework after every class - if you are not using chatgpt, then its going to take so unbelievably long to finish the homeworks set over the weekend. If you still want to take this class, good luck - you need it.