This advanced class combines a traditional abstract algebra curriculum with topics in linear algebra and geometry. Topics include: introductory group theory; Sylow theorems; isometries of the Euclidean plane; symmetries of wallpaper patterns; isometries of the hyperbolic plane and Kleinian groups; elementary Lie groups and their discrete subgroups; Lie algebras; spectral theorems and decomposition theorems for finite-dimensional vector spaces; multilinear algebra; Galois theory; rings and modules; and introductory representation theory. Exploration of these topics will extend over both the Fall and the Spring term. There will be opportunity for students to pursue individual research questions.
Advanced Linear Algebra, Group Theory, and Geometry II (MAT4129.01)
Andrew McIntyre
Prerequisites: Permission of the instructor
Credits: 4
T 4:10pm - 6:00pm; F 4:10pm - 6:00pm
Maximum Enrollment: 12
Course Frequency:
This course is categorized as Mathematics, Andrew McIntyre, Tuesday and/or Friday Afternoons, All courses, Four Credit, 4000.
Credits: 4
T 4:10pm - 6:00pm; F 4:10pm - 6:00pm
Maximum Enrollment: 12
Course Frequency:
This course is categorized as Mathematics, Andrew McIntyre, Tuesday and/or Friday Afternoons, All courses, Four Credit, 4000.