MATH 6360 - Fall 2018
Applied Analysis

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