1주 : 서론 및 유의 사항 2주 : Calculus of variations I 3주 : Calculus of variation II 4주 : Ordinary differential equations 5주 : Sturm-Liouville theory-orthogonal functions 6주 : Gamma, beta function 7주 : Bessel function 8주 : 중간 시험 9주 : Spherical function 10주 : 복소 함수 I (Fundamental) 11주 : 복소 함수 II (Cauchy's integral) 12주 : 복소 함수 III (Calculus of residues) 13주 : Tensor I 14주 : Tensor II 15주 : 기말 시험
Calculus of Variation
The Euler Equation x y Y(x) y(x) (x2, y2) (x1, y1) x y Arbitrary h(x) x2 x1
More general formulation
Euler equation
Example
Cycloid (x1, y1) (x, y) (x2, y2) x y
(4.2)
From Eq. (4.2)
x y O A P B C a q x y
Lagrange Equation
Example