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
| 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 |
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