MATH 6360 - Fall 2018
Course Info. View syllabus.
Week 1. Review of metric spaces, completeness,
characterization of compactness, extreme value
theorem. Contraction mappings and fixed points.
1 (Solutions), due Friday, August 31.
Week 2. Applications of contractions
integral equations, solutions to initial value
problems. Local existence and uniqueness of solutions, stability.
2 (Solutions), due Friday, September 7.
Week 3. The contraction mapping
theorem in multivariate calculus.
3 (Solutions), due Friday, September 14.
Week 3. The inverse
and implicit function theorems.
4, due Friday, September 21.