||This course is mainly focus on the mathematics for physical chemistry, especially for quantum chemistry. It is divided into three parts. The first part is related to the linear algebra, such as vector, matrix, determinants, eigenvalues, diagonalization, and so on. The 2nd one is special function and Fourier analysis, including series solutions for differential equations, Hermite polynomials, Laguerre polynomials, Legendre polynomials, and Fourier transformation. The last one is related to the numerical analysis which is including Boltzmann distribution, Gaussian distribution, least square analysis.