＊Course: 非線性分析
＊Contents:
1) Introduction and examples.
2) Calculus in normed spaces.
3) Implicit function theorems and Newton’s method.
4) KKM principle and applications to variational inequalities.
5) Degree of mappings and application to nonlinear problems.

＊Course prerequisite: Linear algebra, Advanced calculus, some acquaintance with differential equations and functional analysis.

＊Reference material ( textbook(s) ):
1. A. Ambrosetti & G. Prodi, A Primer of Nonlinear Analysis, Cambridge University Press
2. K. Deimling, Nonlinear Functional Analysis, Springer-Verlag
3.
4.
＊Grading scheme: 期中40%；期末40%；作業20%
＊Course goal: The course aims at acquainting students with some well-known classes of nonlinear problems in Analysis, such as finding roots od functions, boundary value problems for nonlinear differential equations, optimization etc. Some useful methods, analytic on topological, are introduced for solving such problems.