Mathematical Analysis

Catalog description

This course focuses on the theoretical foundations of the calculus sequence and consists essentially of an advanced treatment of the concepts of limits differentiations and integration, both in the univariate and in the multivariate settings. Topics include higher order partial derivatives, generalizations of the man value theorem and the fundamental theorem of calculus, evaluation of multiple integrals using the change of variables method, line integrals, implicit functions, and the implicit function theorem. Additional topics include theory of infinite series, uniform convergence, and power series.