Applied Mathematics is a two-semester course, emphasizing the basic mathematical training encountered in science and engineering.
課程簡述
Brief course description
Applied Mathematics is a two-semester course, emphasizing the basic mathematical training encountered in science and engineering. Facing the modern frontiers with brand-new challenges, the course contains the following key modules:
Brief course description
Applied Mathematics is a two-semester course, emphasizing the basic mathematical training encountered in science and engineering. Facing the modern frontiers with brand-new challenges, the course contains the following key modules:
♠ It is important to maintain the balance between mathematical rigor and hands-on applications. Meanwhile, the last module (numerical methods) will be integrated into other modules to facilitate complementary usage of analytic and numeric techniques.
| (1) | Complex Analysis |
| (2) | Partial Derivative |
| (3) | Linear Algebra |
| (4) | Quantum Operators |
| (5) | Fourier Transform |
| (6) | Vector calculus |
課程大綱
Syllabus
Syllabus
♠ Syllabus for Applied Mathematics (2020)
Applied Mathematics is a two-semester course, emphasizing the basic mathematical training encountered in science and engineering. Facing the modern frontiers with brand-new challenges, the course contains the following key modules:
| (1) | Preliminary |
| (2) | Partial differentiation |
| (3) | Matrices and vector spaces |
| (4) | Vector calculus |
| (5) | Ordinary differential equations |
| (6) | Integral transforms |
| (7) | Operators and special functions |
| (8) | Partial differential equations |
| (9) | Probability and statistics |
| (10) | Numerical methods |
♠ It is important to maintain the balance between mathematical rigor and hands-on applications. Meanwhile, the last module (numerical methods) will be integrated nto other modules to facilitate complementary usage of analytic and numeric techniques.
Textbook
| ♠ | Mathematical Methods for physics and engineering (3rd edition) |
| by Riley, Hobson and Bence |
♠ In the first semester, we will cover the following key modules subjected
to dynamical readjustments:
to dynamical readjustments:
| (1) | Preliminary (4 lectures) – chap 1,2,3,4 |
| (2) | Partial differentiation (2 lectures) – chap 5 |
| (3) | Matrices and vector spaces (8 lectures) – chap 7,8,9 |
| (4) | Vector calculus (6 lectures) – chap 10,11 |
| (5) | ntegral transforms (4 lectures) – chap 12,13 |
| (6) | Ordinary differential equations (6 lectures) |
| – chap 14,15,16 | |
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