作者: will1118 (毛) 看板: nota
標題: [轉錄] 應數三
時間: Tue Mar 25 21:18:38 2008
※ [本文轉錄自 FonsEtOrigo 看板]
作者: yahoohoo (真心話-你好) 看板: FonsEtOrigo
標題: 應數三
時間: Tue Mar 25 17:54:03 2008
http://homepage.ntu.edu.tw/~pmho/ApplMath3/Syllabus.htm
Applied Mathematics III
Pei-Ming Ho, R812, Phone: 02-3366-5192, E-mail: pmho(at)phys.ntu.edu.tw,
Lectures: Thurs. 6.7.8, R111.
Office Hours: Tues. 3:30PM ~5 PM.
Teaching Assistants:
林學琰
游至安
蕭銘翰
Please feel free to contact TAs to make appointments for help.
Textbook:
Mathews and Walker:
Mathematical Methods of Physics, Addison-Wesley.
Lecture notes:
Chap 1 Complex Analysis
Saddle Point Approximation (MW)
References:
Lecture Notes : Methods of Mathematical Physics I by Mark Trodden
Mathematical Methods in Physics I & II
1 2/21 Complex analysis: Analytic functions (Appendix) 2/18~3/1 加退選
2 2/28 和平紀念日(放假一天)
3 3/6 Contour integration (Residue theorem)
4 3/13
5 3/20 Saddle point approximation
6 3/27
7 4/3
8 4/10 複習
9 4/17 Mid-Term
10 4/24 Integral transforms: Fourier transform (Chap.4)
11 5/1
12 5/8 Laplace transform
13 5/15 Vectors and Matrices (Chap.6)
14 5/22 Sturm-Liouville theory (from Chap.9)
15 5/29
16 6/5
17 6/12 複習
18 6/19 Final exam
Grades:
Homework, Mid-term and Final.
There are no grades yet.
Homework:
There will be about 6 homework assignments.
Always turn in your homework to the instructor. DO NOT turn in your homework
to TAs.
Links:
家徒四壁與母親相依為命 一無所有的數學國王
http://big5.xinhuanet.com/gate/big5/news.xinhuanet.com/world/2006-09/03/content_5041464.htm
Riemann Hypothesis (Wikipedia)
http://en.wikipedia.org/wiki/Riemann_hypothesis
, Riemann Hypothesis (Wolfram MathWorld)
http://mathworld.wolfram.com/RiemannHypothesis.html
The following are links to Wolfram MathWorld:
Gamma Function
http://mathworld.wolfram.com/GammaFunction.html
Zeta Function
http://mathworld.wolfram.com/RiemannZetaFunction.html
Bessel Function of the First Kind
http://mathworld.wolfram.com/BesselFunctionoftheFirstKind.html
Legendre Polynomial
http://mathworld.wolfram.com/LegendrePolynomial.html
Hermite Polynomial
http://mathworld.wolfram.com/HermitePolynomial.html
Laguerre Polynomial
http://mathworld.wolfram.com/LaguerrePolynomial.html
Hypergeometric Function
http://mathworld.wolfram.com/HypergeometricFunction.html
Mathieu Function
http://mathworld.wolfram.com/MathieuFunction.html
Elliptic Function
http://mathworld.wolfram.com/EllipticFunction.html
Preview of Applied Mathematics IV (next semester):
Partial differential equations (Chap.8)
Eigenfunctions, eigenvalues and Green's functions (Chap.9)
Perturbation theory (Chap.10) + WKB (from Chap.1)
Calculus of variations (Chap.12)
Differential geometry (Chap.15)
Introduction to groups (Chap.16)
http://homepage.ntu.edu.tw/~pmho/ApplMath3/Syllabus.htm
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→ yahoohoo:物理系不只教複變喔 第二禮拜留數 第三禮拜實積分XD 推 03/25 21:29
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