變分學一   (89年度 上學期)

(1) Chapter 1 The Simplest Problem of the Calculus of Variations. Classical examples, Euler-Lagrauge equation, Corner conditions, Some simple sufficient conditions, Weierstrass and Legendre conditions, Jacobi condition, Fields of extremals and sufficient conditions. (2) Chapter 2 Direct Methods. Absolutely continuous functions, Semi continuity and Exishence, Regularity of minimizers. (3) Chapter 3 Some Applications. (4) Chapter 4 Parametric Integrals.

(1) U. Brechtken-Manderscheid, Introduction to the Calculus of Variations, Chapman & Hall 1991. (2) G. Buttazzo, M. Giaguinta & S. Hildebrandt, One-dimensional Variational Problems, Oxford 1998. (3) L. A. Pars, An Introduction to the Calculus of Variations, Heinemann 1962.

(1) 習題表現 30% (2) 平時考 30% (3) 期考 40%