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> 96年 - 96 淡江大學 轉學考 應用數學#55961
96年 - 96 淡江大學 轉學考 應用數學#55961
科目:
研究所、轉學考(插大)-應用數學 |
年份:
96年 |
選擇題數:
0 |
申論題數:
8
試卷資訊
所屬科目:
研究所、轉學考(插大)-應用數學
選擇題 (0)
申論題 (8)
1 Show that the area A enclosed by a simply connected curve C : x
2/3
+ y
2/3
= 4 in the x-y plane is 24π. (15 points)
2. A matrix is both Hermitian and Unitary. Show that its eigenvalues are ±1, (15 points)
【已刪除】3. Find (he Laplace transformation of the square wave with period of a defined by
(15 points)
【已刪除】4. Suppose that/(jc) = jc',/2is a self-reciprocal under Fourier cosine transform, apply the given result and evaluate the Fresnel integral
(15 points)
【已刪除】5’ Given
=π ln 2, show that
(15 points)
6, Given/(jc) = (x + 1)
2
,-1≤x≤1) expand f(x) in terms of Legendre polynomials. (10 points)
【已刪除】7. (a) Write down ftinction form of Legendre polynomials
(5 points)
【已刪除】(b) Using
, show that
(10 points)