Students apply the theory developed in this course to the study selected topics such as random walks and Poisson processes. MATH 1154 Students gain knowledge of the historical events that helped shape mathematical ideas and methods as well as the people who contributed to the development of the theory of mathematics. MATH 3293 Students explore the historical development of number and numeration systems, properties of number sets and mathematical structures such as groups and fields. Students explore the relationship between the development of civilization and the development of mathematics. MATH 3293 Students develop properties and relationships in Euclidean geometry using proof techniques.
Students explore finite and non-Euclidean geometrics.
Students use computer programs and other technology to assist in the exploration and development of conjectures. MATH 3293 Students explore and expand the properties of basic algebra into abstract structures. Students determine which subsets of the complex numbers are groups, rings, integral domains, and fields using the operations of arithmetic. Students utilize the theory of complex differentiation and integration as well as manipulative skills developed in this course to study functions of a complex variable. Topics covered include analytic functions, complex integration, Cauchy theory of integration, power series, residues and poles.