週次 |
日期 |
單元主題 |
第1週 |
9/11 |
Course description and Introduction of Applied Mathematics
The two files are updated on 9/21 |
第2週 |
9/18 |
Dimensional Analysis and Scaling |
第3週 |
9/25 |
Dimensional Analysis and Scaling |
第4週 |
10/02 |
Dimensional Analysis and Scaling |
第5週 |
10/09 |
No class. (I attend an International Conference.) |
第6週 |
10/16 |
(a) Regular Perturbation
(b) Singular Perturbation
(c) Boundary Layer
(d) The WKB method
(e) Asymptotic expansion |
第7週 |
10/23 |
(a) Regular Perturbation
(b) Singular Perturbation
(c) Boundary Layer
(d) The WKB method
(e) Asymptotic expansion |
第8週 |
10/30 |
(a) Regular Perturbation
(b) Singular Perturbation
(c) Boundary Layer
(d) The WKB method
(e) Asymptotic expansion |
第9週 |
11/06 |
(a) Regular Perturbation
(b) Singular Perturbation
(c) Boundary Layer
(d) The WKB method
(e) Asymptotic expansion |
第10週 |
11/13 |
a) Regular Perturbation
(b) Singular Perturbation
(c) Boundary Layer
(d) The WKB method
(e) Asymptotic expansion |
第11週 |
11/20 |
(a) Variational problems
(b) Function spaces and derivative of functionals
(c) Lagragian mechanics vs. Hamiltonian mechanics
(d) Direct method of Calculus of Variation
(e) Isoperimetric problems
(f) Selected variational problems |
第12週 |
11/27 |
(a) Variational problems
(b) Function spaces and derivative of functionals
(c) Lagragian mechanics vs. Hamiltonian mechanics
(d) Direct method of Calculus of Variation
(e) Isoperimetric problems
(f) Selected variational problems
This a.pdf is new on 11/23. |
第13週 |
12/04 |
Continuum Mechanics |
第14週 |
12/11 |
12/7 has no class.
The updated version of a.pdf is uploaded. |
第15週 |
12/18 |
12/14 has no class. |
第16週 |
12/25 |
(a) Variational problems
(b) Function spaces and derivative of functionals
(c) Lagragian mechanics vs. Hamiltonian mechanics
(d) Direct method of Calculus of Variation
(e) Isoperimetric problems
(f) Selected variational problems |
第17週 |
1/01 |
(a) Variational problems
(b) Function spaces and derivative of functionals
(c) Lagragian mechanics vs. Hamiltonian mechanics
(d) Direct method of Calculus of Variation
(e) Isoperimetric problems
(f) Selected variational problems |