The department of mathematics offers opportunities for research leading to the master of science and doctor of philosophy degrees in the fields of pure mathematics and applied mathematicsfaculty areas of research include but are not limited to real and complex analysis ordinary and partial differential equations harmonic analysis nonlinear analysis several complex variables . Some of the courses included in the graduate certificate in applied behavior analysis program can be counted towards umass lowells master of science in applied behavior analysis autism studies we also offer a master of education in curriculum and instruction applied behavior analysis and education option med program which can be completed entirely online. Its curriculum in discrete mathematics includes combinatorics graph theory and cryptology and coding its program in scientific computing includes computing numerical analysis matrix analysis and mathema tical modeling of systems the programs of the department together emphasize mathematical reasoning mathematical modeling and computation abstraction from the particular innovative . Math 554 linear analysis 5 first quarter of a three quarter sequence covering advanced linear algebra and matrix analysis ordinary differential equations existence and uniqueness theory linear systems numerical approximations fourier analysis introductions to functional analysis and partial differential equations distribution theory prerequisite math 426 and familiarity with
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