Syllabus for Mathematical Methods for Physicists (2023)
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<br>Mathematical Methods for Physicists is a one-semester course, emphasizing more 
<br>advanced mathematical techniques for research explorations:
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<br>(1) tensor analysis (chap 26)
<br>(2) probability (chap 30)
<br>(3) statistics (chap 31)
<br>(4) group theory (chap 28,29)
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<br>It is important to maintain the balance between mathematical rigor and hands-on 
<br>applications. While numerical methods are not listed explicitly, it will be 
<br>integrated into other modules to facilitate complementary usage of analytic and 
<br>numeric techniques.
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<br>The tensor analysis is a warmup topics, encouraging in-class discussions and 
<br>participation. I will adopt project-ba<x>sed learning to go over the topics: 
<br>Probability and Statistics. The students are asked to finish a mini-project on 
<br>these two subjects combining both analytic and numerical techniques. Finally, at 
<br>the end of the semester, I would go over the most challenging subject: Group 
<br>Theory.
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<br>Textbook: 
<br>Mathematical Methods for physics and engineering (3rd edition) 
<br>by Riley, Hobson and Bence
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<br>Classes: 
<br>13:20-16:20 on Mondays 
<br>Physics Building R208
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<br>Grade:
<br>Final report is due on June 12 (Mon).
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<br>Your grade is mainly determined by the final report on the chosen mini-project, 
<br>weighted by in-class participation and performance.
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