Mathematical Physics

Fall 2026 Revised Oct 16 2026

1^st week Sep 10 Gamma Function PowerPoint pdf

Online Links I II III

Homework I Problem pdf due Sep 20 解答 pdf

線上繳交信箱 chvchang@gmail.com

2^nd week Sep 17 Introduction for 2^nd semester PowerPoint pdf

Differential form of Maxwell Equation PowerPoint pages with cat marks pdf

EM Wave Equation PowerPoint p1-14 pdf

Lecture Video Link I II

3^rd week Sep 24

Coupled Spring System and Wave Equation abovePowerPoint p17-34 pdf

Modes and the method of Separation of Variables PowerPoint p1-66 pdf

PowerPoint with no video, smaller size

Lecture Video Link I II

Homework II Problem pdf Oct 4 Solution pdf

線上繳交信箱 1151ntnumpta@gmail.com

4^th week Oct 1 Separation of Variables, Standing Wave abovePowerPoint p59-95 pdf

Lecture Video Link I II

Notes about Coupled SHM and Wave by Prof. Schwartz of Harvard III

5^th week Oct 8

Fourier Series PowerPoint p1-59 pdf

Lecture Video Link I II

Notes about Fourier Series by Prof. Schwartz of Harvard IV

Homework III Problem pdf Due on Oct 22

線上繳交信箱 1151ntnumpta@gmail.com

6^th week Oct 15 d'Alembert solution AbovePowerPoint p67-89 pdf

Electron, Photon, Atomic Spectrum PowerPoint p18-64 pdf

Lecture Video Link I II

My Chinese Notes about Quantum World

7^th week Oct 22 Bohr Atomic Model, Electron Wave PowerPoint pdf

8^th week Oct 29 Probability Interpretation, Schrodinger Wave Equation PowerPoint pdf

9^th week Nov 5 Midterm Exam

Spring 2026 Revised June 17 2026

The final grades has been announced on Moodle。

The formula is as follow: Mid* 43% + Final* 43% + Homework/30*100*15%

Please double check and send inquiry to：chvchang@hotmail.com

Expect to finalize on June 23.

Final Exam Solutions pdf

Course Summary 課程綱要

My other mathematical physics site

1^st week Feb 26 Introduction and Purpose of the course PowerPoint pdf

上課錄影

2^nd week Mar 5 Introduction to Quantum Physics and its relation to classical wave equation

abovePowerPoint p41-106 pdf

Decay Equation PowerPoint p1-9 pdf

上課錄影 I II

3^rd week Mar 12

Projectile with air resistance, Decay Equation abovePowerPoint p1-66 pdf

上課錄影 I II

Reading: Arfken 7.1-7.2 (p329-p.332 p336-339)

Homework I pdf Solution pdf Due: March 26 23:00

4^th week Mar 19

Inhomogeneous Decay Equation abovePowerPoint p63-82 pdf

Simple Harmonic Oscillator PowerPoint p1-25 pdf

Online video I II

5^th week Mar 26

Forced Oscillation abovePowerPoint p27-100 pdf

Video I II

6^th week Apr 2

Complex number abovePowerPoint p133-166 pdf

Video I II

Reading: Arfken 7.6 (p362-p.363) 7.7(375-376)

Highly Recommended：參考lecture notes about SHM by Prof. Schwartz of Harvard I II

Homework II pdf Solution pdf for practice only, no need to hand in.

Midterm exam last year pdf (ignore problem 2,4,5)

7^th week Apr 9 Second Order linear ODE with constant coefficients

abovePowerPoint pdf

Video

Midterm Preparation pdf

8^th week Apr 16 Midterm exam

Midterm Exam Solution pdf

9^th week Apr 23 Coupled Oscillation Powerpoint p1-32 pdf

Video I II

10^th week Apr 30 Modes of oscillation abovePowerpoint p30-51 pdf

Notes about Coupled SHM by Prof. Schwartz of Harvard III IV

Video I II

Homework III Solution revised pdf Due: May 7 23:00

11^th week May 7 Matrix Eigenvalue problem PowerPoint p1-28 pdf

Video I II

Homework IV Solution pdf Due: May 21 23:00

12^th week May 14 Symmetric Matrix Eigenvalue PowerPoint as above p29-42 pdf

From coupled oscillation to wave

PowerPoint revised version with better explanations, animation movie added p1-11 pdf

Notes about Coupled SHM by Prof. Schwartz of Harvard IV

Video I II

13^th week May 21 Wave Equation PowerPoint as above p10-18 20-21 33-43 pdf

Vector Calculus, Gauss’s Law PowerPoint p33-68 pdf

Video I II

Homework V Solution pdf Revised with one more problem and very detailed useful solutions

For Practice only, No need to turn in.

14^th week May 28 Online Class

Stoke’s Law, EM Wave Equation PowerPoint as above pdf

Video I II III

Final Preparation Highlights PowerPoint pdf

15^th week June 4 Final Exam