VI. Partial differential equations, VI-1. Introduction, VI-2. The classical wave, VII. Determinants and matrices (1/4), VII-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
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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
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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
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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
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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
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第六週IV. Infinite series
IV-1. Talyor series
IV-2. Convergence and its region
IV-3. Applied to Physical Chemistry II
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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
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第八週作業討論
Fourier series
Fourier transforms
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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
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第十一週V. Ordinary differential equations (2/4)
V-4. Differential equations with total differential
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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
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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
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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
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第十五週VII. Determinants and matrices (2/4)
VII-2. Determinant algebra
VII-3. Properties of determinant
VII-4. Matrix algebra
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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
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第十七週VII. Determinants and matrices (4/4)
VII-8. Application to physical chemistry II
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