Mathematics Honors courses provide highly motivated and talented students with a rigorous, accelerated introduction to higher mathematics through small classes, close faculty interaction, and collaborative learning.
Honors Courses
Math 424 - Honors Real Analysis (3 hours)
Continuity, compactness, completeness, connectedness and uniform convergence are developed in the metric space setting, and are then applied to rigorously establish the fundamentals of calculus, including the theory of differentiation, Riemann-Darboux integration, sequences and series of functions, and interchange of limiting operations.
Math 425 - Honors Advanced Analysis (3 hours)
This course provides a theoretical treatment of differential and integral calculus in higher dimensions. Topics include inverse and implicit function theorems, submanifolds, the theorems of Green, Gauss and Stokes, differential forms, and applications.
Math 427 - Honors Abstract Algebra (3 hours)
Group theory elucidates structures ranging from elementary clock arithmetic to symmetries in theoretical physics. This abstract algebra course displays the power and also the beauty of groups, covering counting formulae, factorization, and modules, with applications to the structure of Abelian groups and linear operators.
Math 428 - Honors Topics in Mathematics (3 hours)
A capstone course whose topic can vary. Possibilities include geometric analysis, algebraic geometry, and computational algebra.