MATH 4500
Last Updated
 Schedule of Classes  January 20, 2022 7:27PM EST
 Course Catalog  January 20, 2022 7:14PM EST
Classes
MATH 4500
Course Description
Course information provided by the Courses of Study 20212022.
An introduction to a topic that is central to mathematics and important in physics and engineering. The objects of study are certain classes of matrices, such as orthogonal, unitary, or symplectic matrices. These classes have both algebraic structure (groups) and geometric/topological structure (manifolds). Thus the course will be a mixture of algebra and geometry/topology, with a little analysis as well. The topics will include Lie algebras (which are an extension of the notion of vector multiplication in threedimensional space), the exponential mapping (a generalization of the exponential function of calculus), and representation theory (which studies the different ways in which groups can be represented by matrices). Concrete examples will be emphasized. Background not included in the prerequisites will be developed as needed.
When Offered Spring.
Prerequisites/Corequisites Prerequisite: multivariable calculus and linear algebra (e.g., MATH 2210MATH 2220, MATH 2230MATH 2240, or MATH 1920 and MATH 2940). Familiarity with methods of mathematical proof (as taught, for example, in MATH 3040, MATH 3110, or MATH 3340).
Distribution Category (MQRAS, SMRAS)
Regular Academic Session.

Credits and Grading Basis
4 Credits Stdnt Opt(Letter or S/U grades)

Class Number & Section Details

Meeting Pattern
 MWF Malott Hall 203
 Jan 24  May 10, 2022
Instructors
Speh, B

Additional Information
Instruction Mode: In Person
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