課程名稱︰微積分甲下
課程性質︰數學系大一必帶
課程教師︰陳榮凱
開課學院：理學院
開課系所︰數學系
考試日期（年月日）︰2014/03/06
考試時限（分鐘）：30
是否需發放獎勵金：是
（如未明確表示，則不予發放）
試題 :
The total is 25 points.
(1) (8 pts) Let P be a boundary point of the set S that does not belong to S.
Prove that there exists a sequence of points P , P , ... in S having P as
1 2
limit. y
x
(2) (8 pts) Find the first and second partial derivatives of e .
____
(3) (9 pts) Show that f(x, y) = √|xy| is not differentiable at (0, 0).