4.教学方法 Lectures,discussions,etc 5.教学评价 Corresponding exercises and quiz. 第七章0 rdinary Differential Equation 1.教学目标 Introduce the general theorem for the differential equation.The eigen-functions form a complete and orthogonal basis of the functional space,and the classification as well as the series method to solve the ODE. 2.教学难点 Series method and eigen-functions 3.教学内容 A.classification of the ordinary differential equations B.the series method to obtain the solutions of ODE C.eigenfunctions and eigenvalues,relationship with the linear space 4.教学方法 Lectures,discussions,etc. 5.教学评价 Corresponding exercises and quiz. 第八章Spherical Harmonic Functions 1.教学目标 Use the series method to obtain the solution of Laplace equation in the spherical coordinate system.Derive the recursion relations for the spherical harmonic functions and Legendre functions. 2.教学难点 Property of the spherical harmonic functions. 3.教学内容4.教学方法 Lectures, discussions, etc. 5.教学评价 Corresponding exercises and quiz. 第七章 Ordinary Differential Equation 1. 教学目标 Introduce the general theorem for the differential equation. The eigen-functions form a complete and orthogonal basis of the functional space, and the classification as well as the series method to solve the ODE. 2. 教学难点 Series method and eigen-functions. 3. 教学内容 A. classification of the ordinary differential equations B. the series method to obtain the solutions of ODE C. eigenfunctions and eigenvalues, relationship with the linear space. 4.教学方法 Lectures, discussions, etc. 5.教学评价 Corresponding exercises and quiz. 第八章 Spherical Harmonic Functions 1. 教学目标 Use the series method to obtain the solution of Laplace equation in the spherical coordinate system. Derive the recursion relations for the spherical harmonic functions and Legendre functions. 2. 教学难点 Property of the spherical harmonic functions. 3. 教学内容