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...Course name brush up in calculus and linear algebra professor prof eulalia nualart practicals sebastien willis program courses master economics finance outline the goal of this is to review basic tools that will be used standard programs part vectors matrices a vector spaces b subspaces c transformations d matrix operations determinants rules inverse cramer s rule eigenvalues eigenvectors characteristic equation diagonalization rank trace spectral theorem e quadratic forms basics limits continuity differentiation taylor formula integration functions several variables partial derivatives tangent planes implicit defined homogenous function optimization unconstrained maximization convex concave lagrange multiplier method kuhn tucker conditions differential equations first order separable references simon p blume l mathematics for economists norton werner f sotskov y n business routledge sydsaeter k hammond j economic analysis prentice hall...