Hi all ,

Further mathematical methods question:

I am a US math+econ major about to spend a year as an LSE general course student. My training so far consists of
1 semester linear algebra
1 semester of vector calculus, topics: laplacian, line/surface integrals, green's, gausses, stokes theorems, triple integrals
1 semester of ordinary differential equations, topics included: advanced solving , laplace transform, systems of diff. eqns
1 semester introductory analysis and 1 semester abstract algebra

I want to know if I already know what is in further mathematical methods (calculus) and fmm(linear algebra). It would be of great help to me if you also answer these two questions:

Does fmm linear algebra go beyond general vector spaces, inner product spaces, eigenvalues and eigenvectors, and linear transformations?

would you say the calculus portion builds on previous vector calc knowledge or introduces the basics?

I have seen the course descriptions and what publicly available information I could find but lots of material said "as time permits" so there is a lot of ambiguity to me.

I am in a little bit of anguish over this choice because I feel taking the further mathermatical methods course carries a high opportunity cost -- I am giving up a chance to take my first nontrivial micro class (my school's micro is non-calc and basically designed for business majors) in the form of LSE's micro theory II. I also think this micro class will help me make a better senior honors thesis, I want to make a toy model and make some predictions.

I can't budge other courses because of my degree plan.