Syllabus for Applied Mathematics (2023) Applied Mathematics is a two-semester 
<br>course, emphasizing the basic mathematical training encountered in science and 
<br>engineering. Facing the modern  frontiers with brand-new challenges, the course 
<br>contains the following key modules:
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<br>Applied Math I
<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 II
<br>(1) integral transforms (chap 12,13)
<br>(2) special functions (chap 16,17,18)
<br>(3) partial differential equations (chap 20,21)
<br>(4) calculus of variations (chap 22)
<br>(5) complex analysis (chap 24, 25)
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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>Grades
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<br>April 10 (Mon) midterm (30%)
<br>June 12 (Mon) final (30%)
<br>8 scheduled quizzes (40%)
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<br>Detail information can be found in the e-Learn platform 
<br>(https://elearn.nthu.edu.tw). The letter grades of the course are ba<x>sed on the 
<br>average scores of quizzes, midterms and final, weighted by the overall class 
<br>performance.
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