Teaching	E-mail

Chung-Yu Mou

目標

本課程為物理系的基礎課程，主要的目標是使學生能掌握 物理所需要的基礎數學工具，著重數學的應用與在物理上 的動機，使學生能進一步掌握如何有效將數學用在物理上。

(I) midterm: April 14, final: June 20

• Examples of the need for mathematical rigor in physics
• Complex numbers, series and functions
• Linear Algebra:
  matrices and determinants, matrix operations, linear operators,
  linear vector space, eigenvalues, eigenvectors, matrix diagonalization, group theory
• Partial differentiation:
  total differential, implicit differentiation, maximum and minimum problems, change of variables
• Vector analysis:
  differentiation of vectors, gradient, Green’s theorem,
  divergence, curl.
• Fourier series and transforms:
  periodic functions, Fourier series, Parseval’s theorem, Fourier transform.
• Ordinary differential equation:
  seperable equations, linear first-order equation, second-order differential equation with constant coefficients

Textbooks

計分方式

• 作業 + 討論報告 35% 期中考 30% 期末考 35%
• Advance Homework => 加分
• 作業成績之決定取決於小考或期中考中與作業一致的題目是否答對