MATH 490 EK - Advanced Topics in Mathematics - Topological Degree Theory
Deals with selected topics and applications of mathematics; see Class Schedule or department office for current topics. Course Information: 1 to 4 undergraduate hours. 1 to 4 graduate hours. May be repeated with approval. Prerequisite: Consent of instructor.
Topological Degree Theory. Prerequisite: Math 241 and Math 347 and familiarity with the algebraic manipulation of complex numbers. Description: Why can-t you comb your hair without getting a cowlick- Can you perfectly halve three slices (say two of bread and one of ham) which might be unequal and imperfectly stacked, by a single sharp knife cut- The answers to both questions are given by some very rigid objects called topological invariants which are studied in algebraic and differential topology. For more details please see https://go.math.illinois.edu/SP21EK . The course grade will be based on homework, two midterms, and a final project.
Option 1Number of Required Visit(s): 0
Course Level: Graduate