作者addisonsky (ㄟ抵!!)
看板Economics
標題[請益] 以下課程該如何選擇呢?
時間Fri Jun 11 00:41:39 2010
想請教一下板上大大們
我目前是個即將升上大四 想要申請國內經研所的學生
大一到大三也只修了 微積分、統計學和計量經濟學
也已經確定在下學期選擇線性代數、數理統計兩門課
因為想要充實自己往後(如果有機會XD)的實力
再加上以下的課程有衝堂的問題 必須要從中選擇一門課
所以附上課程大綱供參考
希望能給我一些建議~ 謝謝!!
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(一)微分方程與複變函數，是電機系開的一學期課程
1. First-Order ODEs (Chap. 1)
2. Second-Order Linear ODEs (Chap. 2)
3. Higher Order Linear ODEs (Chap. 3)
4. Systems of ODEs. Phase Plane. Qualitative Methods (Chap. 4)
5. Series Solutions of ODEs. Special Functions (Chap. 5)
6. Laplace Transforms (Chap. 6)
7. Fourier Series, Integrals and Transform (Chap. 11)
8. Partial Differential Equations (Chap. 12)
9. Complex Numbers and Functions (Chap. 13)
10. Complex Integration (Chap. 14)
11. Power Series, Taylor Series (Chap. 15)
12. Laurent Series. Residue Integration (Chap. 16)
Textbook: E. Kreyszig, Advanced Engineering Mathematics,
9th Ed., John Wiley & Sons, Inc., 2006.
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(二)工程數學，是資工系開的一學期課程
1. First order and second order differential equations
2. Laplace transform
3. Series solutions for differential equations
4. Systems of linear differential equations
5. Systems of nonlinear differential equations
6. Fourier series
Textbook: Peter V. O'Neil, "Advanced Engineering Mathematics",
5th edition, Thomson Brooks/Cole.
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(三)工程數學一，是動機系開的一學年課程
1. First-Order ODEs
2. Second-Order linear ODEs
3. Higher Order linear ODEs
4. Serier Solution of Differential Equations, Special Function
5. Laplace Transforms
6. Vector Differential Calculus, Grad, Div, Curl
7. Vector Integral Calculus. Integral Theorems
Textbook:
Kreyszig, E., "Advanced Engineering Mathematics", 9th edition,
John Wiley & Sons, Inc. (2006)
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(四)數值分析一，是工科系開的一學期課程
1.IEEE Standard 754, error analysis
2.Root finding & fixed-point problems: bisection method, Newton's method,
secant method, method of false position, Mueller's method, Modified Newton's
method, order of convergence, Aitken's method, Steffensen's method
3.Lagrange interpolation, Neville's method, Newton's
divided-Difference(forward, backward), Hermit interpolation, natural and
clamped cubic spline interpolation
4.Gaussian elimination and backward substitution, pivoting strategies, matrix
inversion, determinant, LU factorization (Dolittle, Crout, Cholesky), LDLt
Factorization, LLt Factorization.
5.(n+1)-point formula to approximate first order derivative, Richardson's
extrapolation, Trapezoidal rule and Simposon's rule for integration,
composite method for integration, Romberg integration, adaptive quadrature
method, Gaussian quadrature, multiple integrals, improper integrals.
6.Euler's method, higher-order Taylor method, Runge-Kutta method, Multistep
methods (Adams-Bashforth, Adams-Moulton), Higher-order equations and systems
of differential equations
7.Shooting method (nonlinear, linear), finite-difference method for linear
problem.
Textbook：Burden and Faires, Numerical Analysis,
8th ed. (Thomson 2005)
請大家給予一些意見，謝謝囉~~
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1F：推 washburn:都是很好的課. 不過我建議去數學系修高等微積分和實分析. 06/11 01:21
2F：推 washburn:對抽象的思考和嚴謹的證明更有幫助. 06/11 01:21
3F：推 b2209187:你可以去選修經濟數學或數理經濟學 06/11 02:06
4F：推 DieLandkarte:高微可能要衡量一下自己的實力跟時間，不是那麼容易 06/11 02:21
5F：→ Iknow:既然時間還允許，建議先旁聽一學期看看要不要正式修 06/11 10:32
6F：→ Iknow:上面是說高微XD 06/11 10:33
7F：推 boybobo:試問你該具備敏銳的經濟直覺還是高深的數學技巧? 06/11 18:40
8F：→ boybobo:當有人詢問你經濟實事問題，你需去算個數學再回答？ 06/11 18:42
9F：→ lovehan:也有老師說解決經濟問題不一定都要靠數學... 06/11 19:47
10F：推 letibe:樓樓上先去看看國外經博要求的數學底子吧 06/11 19:55
11F：推 Hinamizawa:"申請"國內經研所的學生->意思是你想走推甄? 06/11 20:49
12F：→ Hinamizawa:如果非常有把握申請上 就衝高微吧 06/11 20:52
13F：→ addisonsky:謝謝大家的回答! to Hinamizawa: 我想要走推甄沒錯! 06/11 22:11
14F：→ addisonsky:那如果把握不大的話呢XD 06/11 22:12
15F：推 Hinamizawa:旁聽高微 畢竟高微+數統+線代份量真的很重 06/11 22:31
16F：→ Hinamizawa:當然 你夠強應該就不用擔心 06/11 22:33
17F：→ addisonsky:謝謝H大 不過 我應該不是強者...(淚奔) 06/11 22:47
18F：推 boybobo:我大學就是數學系出身上述數學工具我無一不通曉 06/11 23:43
19F：→ boybobo:因為沒錢所以在國內就讀某知名博士班 06/11 23:44
20F：→ boybobo:也陸續發表經濟期刊論文我經驗告訴我經濟比較直覺重要 06/11 23:45
21F：推 josephtyw:樓上是否因為已精通數學工具，才覺得經濟直覺比較重要？ 06/12 12:05
22F：推 maykizuki:套一句某不愛用數學的學派的老師所說 數學很重要 06/12 15:18
23F：→ maykizuki:因為懂數學才能聽懂別人在說啥 不懂怎麼對話？ 06/12 15:19
24F：推 chiawww:不愛用數學的學派的老師數學還頗強XD... 06/12 18:56
25F：推 Hinamizawa:都很重要 只是不同階段有不同重視的地方 06/12 21:53
27F：→ revivalworld:高微在講些什麼 再決定 06/13 12:36
28F：推 b2209187:letibe大...，原PO只說要唸碩士，不一定會要唸博班吧 06/13 16:16
29F：推 so45j10:"有需要"用到高微"再"學就好 不要浪費時間去學工具 06/13 16:38
30F：→ so45j10:聰明的人大四就已經想好碩士題目 想好要找哪個學校的老師 06/13 16:41
31F：→ so45j10:然後直接去問那個老師需要學什麼 而不是亂槍打鳥亂學 06/13 16:42
32F：→ addisonsky:再次謝謝大家的意見 真的給了我不少想法~~ 06/13 17:07
33F：→ b2209187:其實我很好奇你為什麼要修數理統計...? 06/13 23:55
34F：→ b2209187:我覺得你去修國際經濟，金融市場這種經濟類科目應該不錯 06/13 23:56
35F：推 CATCH123:原po強者太謙虛了 XDDD 06/14 02:55