教學大綱與進度

課程基本資料：

學年期	課號	課程名稱	階段	學分	時數	修	教師	班級	人	撤	備註
111-2	312615	工程數學(二)	1	2.0	2	★	許益瑞	分子二	43	3	大三物化前的化數課程

教學大綱與進度：

教師姓名	許益瑞　教師諮商時間(Office Hours)
Email	ijuihsu@ntut.edu.tw
最後更新時間	2022-12-23 01:11:31
課程大綱	本課程以講述物理化學上，尤其是量子化學上，必須用到的數學為主。內容主要涵蓋三大部分。第一部分為基本線性代數，包含向量，矩陣，以及行列式等，第二部分為特殊函數，第三部分則為傅立葉轉換。 The course is designed to provide the mathematic background for physical chemistry especially for quantum chemistry. The teaching materials will include Laplace transform, Basic Linear Algebra, Differential Equation, Fourier Analysis, and special functions. Outline: 1. Series Solutions of Differential Equation 2. Linear Algebra : Vector, Matrix, Determinants, Eigenvalues, Eigenvectors, Diagonalization 3. Laplace transformation 4. Fourier Series, Fourier Transformation 5. Special function : Hermite polynomials, Laguerre polynomials, Legendre polynominals
課程進度	Week 1. Review of Power Series Week 2. Power Series Solutions Week 3. Solution about Singular Points Week 4. Special Functions (I) Week 5. Special Functions (II) Week 6. Vector Space and Matrix Algebra Week 7. Eigenvalue Problem Week 8. Laplace transformation (I) Week 9. Midterm Exam. Week 10. Laplace transformation (II) Week 11. Fourier Series Week 12. Complex Fourier Series Week 13. Fourier Integral Week 14. Fourier transformation Week 15. Fast Fourier transformation Week 16. Integration in the Complex Plane (I) Week 17. Integration in the Complex Plane (II) Week 18. Final Exam.
評量方式與標準	(1) 期中考 : 30% (2) 期末考: 40% (3) 平時成績: 30%
使用教材、參考書目或其他	【遵守智慧財產權觀念，請使用正版教科書，不得使用非法影印教科書】 使用外文原文書：是 Textbook: 1. Dennis G. Zill: Advanced Engineering Mathematics, 7th. Ed. References: 1. Hans J. Weber and George B. Arfken, Essential Mathematical Methods for Physicists, 2004. 2. Robert G. Mortimer : Mathematics for Physical Chemistry, 4th ed., 2013.
課程諮詢管道	1. Office hours: Tue. 78; Thu. 3456 2. By appointment in advanced
備註	In case the pendemic of COVID-19, the lecture will be changed to online Teams. The link address is as setting by univerrsity with class name : 工程數學