Coursework
Courses taken in the professional master’s programme in Applied and Computational Mathematics at IMECC.
PM001A
The connection between algebraic structures and geometric reasoning: vector spaces, bases and change of basis, inner and cross products, linear dependence — with attention to computational tools and to the historical development of the concepts.
PM002A
A rigorous treatment of real-valued functions of one variable. Limits, continuity, series, derivatives and integrals approached through their logical foundations, with emphasis on constructing proofs rather than applying formulas.
PM015A
Linear, nonlinear, integer and mixed programming; formulation and solution of transportation and production models; geometric analysis of feasible regions as preparation for the Simplex method; computational modelling in GAMS.
PM003A
Formal analysis of real-valued functions of several variables: continuity, differentiability, the Inverse and Implicit Function Theorems, and the gradient and Hessian treated theoretically. Groundwork for further study in analysis and differential geometry.