課程資訊

Mathematics for Chemists

100-1

Chem2003

203 20110

Ceiba 課程網頁
http://ceiba.ntu.edu.tw/1001ChemMath

Calculus I, II

Office Hours

C. L. Perrin: Mthematics for Chemists

M. Boas: Mathematical Methods in the Physical Sciences

F.A. Cotton: Chemical Applications of Group Theory (chapters 1-6)

(僅供參考)

 No. 項目 百分比 說明 1. Exercise 30% 2. Midterm exam 35% 3. Final exam 35%

 課程進度
 週次 日期 單元主題 第1週 9/13,9/16 vector space, linear combination, linear independent, dimension, bases 第2週 9/20,9/23 coordinates, norm, inner product (real and complex versions),Dirac notation, examples of inner products 第3週 9/27,9/30 examples of inner product, Gram-Schmidt process, linear operator, build a matrix from a linear operator 第4週 10/04,10/07 linear operators and matrices, unitary matrix, orthogonal matrix, coordinate transform 第5週 10/11,10/14 coordinate transformation, similar matrices, eigenvalue, eigenvector 第6週 10/18,10/21 hermitian matrix, real eigenvalue property, orthogonal relation between the eigenvectors, simultaneous diagonalization of two hermitian matrices 第7週 10/25,10/28 The extremal problem of the quadratic form for hermitian matrix 第8週 11/01,11/04 applications in the coupled linear differential equation 第10週 11/15,11/18 Fourier series 第11週 11/22,11/25 Fourier transform, Dirac delta function 第14週 12/13,12/16 definition of group, group table, subgroup, conjugate elements, equivalent class 第15週 12/20,12/23 Symmetry group, representation 第16週 12/27,12/30 trace, character, product of representations, application to MO, application to IR selection rule