Syllabus for Applied Mathematics (2020)
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<br>Applied Mathematics is a two-semester course, emphasizing the basic 
<br>mathematical training encountered in science and engineering. Facing the modern 
<br>frontiers with brand-new challenges, the course contains the following key 
<br>modules:
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<br>(1) Preliminary
<br>(2) Partial differentiation
<br>(3) Matrices and vector spaces
<br>(4) Vector calculus
<br>(5) Ordinary differential equations
<br>(6) Integral transforms
<br>(7) Operators and special functions
<br>(8) Partial differential equations
<br>(9) Probability and statistics
<br>(10) Numerical methods
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<br>It is important to maintain the balance between mathematical rigor and hands-on 
<br>applications. Meanwhile, the last module (numerical methods) will be integrated 
<br>into other modules to facilitate complementary usage of analytic and numeric 
<br>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>R019, Physics Building
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<br>In the first semester, we will cover the following key modules subjected to 
<br>dynamical readjustments:
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<br>(1) Preliminary (4 lectures) – chap 1,2,3,4
<br>(2) Partial differentiation (2 lectures) – chap 5 
<br>(3) Matrices and vector spaces (8 lectures) – chap 7,8,9
<br>(4) Vector calculus (6 lectures) – chap 10,11
<br>(5) Integral transforms (4 lectures) – chap 12,13
<br>(6) Ordinary differential equations (6 lectures) – chap 14,15,16
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