應用數學 Applied Mathematics | 應用化學系朱超原老師

Applied Mathematics

應用數學

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After studying calculus with general training, one needs to learn how to solve real problems in chemistry. Mathematical problems in chemistry can be sometime difficult, in this course we learn how to solve those problems by trial and error.

課程用書：Physical Chemistry 3rd edition, Mortimer, 2008.
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授課教師	應用化學系朱超原老師
課程學分	3學分
授課年度	101學年度
授課對象	大學二年級學生
預備知識	化學I、化學II、微積分
課程提供	課程影音課程綱要課程行事曆

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搜尋:

週次	課程內容	課程影音	課程下載
第一週	I. Review of differentiation and integration I-1. Introduction I-2. Review of differential calculus I-3. Review of integral calculus I-4. Graph	線上觀看	MP4下載
第二週	II. Calculus of several variables, partial differentiation II-1. Partial derivatives II-2. Total differential II-3. Application to physical chemistry I	線上觀看	MP4下載
第三週	II. Calculus of several variables, partial differentiation II-4. Cycle rule II-5. Application of derivatives II-6. van Der Waals equation of state	線上觀看	MP4下載
第四週	II. Calculus of several variables, partial differentiation II-7. Constrained maxima and minima II-8. Stirling’s formula II-9.Application to physical chemistry III III. Line integrals and multiple integrals III-1. Introduction	線上觀看	MP4下載
第五週	III. Line integrals and multiple integrals III-3. Line integral III-4. Applied to Physical Chemistry I III-5. Double integral III-6. Jacobi determinant	線上觀看	MP4下載
第六週	IV. Infinite series IV-1. Talyor series IV-2. Convergence and its region IV-3. Applied to Physical Chemistry II	線上觀看	MP4下載
第七週	IV. Infinite series IV-4. Fourier series IV-5. Particle in one-dimensional box (PC II) IV-6. Kronecker delta function IV-7. Fourier transforms	線上觀看	MP4下載
第八週	作業討論 Fourier series Fourier transforms	線上觀看	MP4下載
第十週	V. Ordinary differential equations (1/4) V-1. Introduction V-2. The first-order differential equations V-3. The second-order differential equations	線上觀看	MP4下載
第十一週	V. Ordinary differential equations (2/4) V-4. Differential equations with total differential	線上觀看	MP4下載
第十二週	V. Ordinary differential equations (3/4) V-5. Special functions for the second-order DE、Quantum harmonic oscillator、Quantum hydrogen atom	線上觀看	MP4下載
第十三週	V. Ordinary differential equations (4/4) V-5. Special functions for the second-order DE、Quantum harmonic oscillator、Quantum hydrogen atom	線上觀看	MP4下載
第十四週	VI. Partial differential equations VI-1. Introduction VI-2. The classical wave VII. Determinants and matrices (1/4) VII-1 Introduction	線上觀看	MP4下載
第十五週	VII. Determinants and matrices (2/4) VII-2. Determinant algebra VII-3. Properties of determinant VII-4. Matrix algebra	線上觀看	MP4下載
第十六週	VII. Determinants and matrices (3/4) VII-5. Singular matrix VII-6. Characteristic equation of a matrix VII-7. Symmetry matrix	線上觀看	MP4下載
第十七週	VII. Determinants and matrices (4/4) VII-8. Application to physical chemistry II	線上觀看	MP4下載

目前顯示第 1 至第 16 個資料列，總計 16 個資料列

課程目標

課程章節

章節內容

Review of differentiation and integration techniques

Calculus of several variables, partial differentiation

Line integrals and multiple integrals

Vector analysis

Ordinary differential equations

Partial differential equations

Determinants and matrices

Probability and statistics

課程書目

Applied Mathematics for Physical Chemistry, Barrante, 3rd , 2003.

參考書目

The Chemistry Maths Boolk, Steiner, 2004.
Physical Chemistry, A Molecular Approach, McQuarrie and Simon, 1997 .

評分標準

項目	百分比
作業	30%
期中考	30%
期末考	40%

本課程行事曆提供課程進度與考試資訊參考。