Syllabus for Applied Mathematics (2021)
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<br>Applied Mathematics is a two-semester course, emphasizing the basic mathematical 
<br>training encountered in science and engineering. Facing the modern  frontiers 
<br>with brand-new challenges, the course contains the following key modules:
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<br>Applied Math 1
<br>(1) complex algebra (chap 3,4)
<br>(2) partial differentiation (chap 5)
<br>(3) linear algebra (chap 7,8)
<br>(4) vector calculus (chap 10,11)
<br>(5) ordinary differential equations (chap14,15)
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<br>Applied Math 2
<br>(1) integral transforms (chap 12,13)
<br>(2) special functions (chap 16,17,18)
<br>(3) quantum operators (chap 19)
<br>(4) partial differential equations (chap 20,21)
<br>(5) calculus of variations (chap 22)
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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>Textbook: 
<br>Mathematical Methods for physics and engineering (3rd edition) 
<br>by Riley, Hobson and Bence
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<br>Classes: 
<br>08:30 – 09:50 on Mondays and Thursdays 
<br>Physics Building R124
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<br>Exams and Grades
<br>April 18 (Mon) midterm (50%)
<br>June 13 (Mon) final (50%)
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<br>The letter grades of the course are ba<x>sed on the average scores of midterms and 
<br>final, weighted by the overall class performance.
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