92年 - 92 淡江大學 轉學考 應用數學#56102

科目：研究所、轉學考(插大)-應用數學 | 年份：92年 | 選擇題數：0 | 申論題數：7

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 (7)

1. Consider the conic 5x2 -4xy + 2y2 =30，find the principal axes of the conic and express the conic in the principal axes. (10 points)
【已刪除】2. Suppose that displacement as a function of time for a moving particle is  , find the equations of the line tangent to the curve described by the particle and the plane normal to this curve at (4, -4，8). (15 points)
【已刪除】3. Use the method of contour integration to evaluate the integral  (15 points)
4. Solve the following differential equation (15 points) 
 x2y'' - 2xy' + 2y = xlnx.
5.Given f{x) = sinx, 0 ＜x ＜π，expand f(x) in Fourier cosine series. (15 points)
【已刪除】6. Given  Where S is the surface bounded by  z = 0, z = 5, and x2 + y2 = 16 in the lsl quadrant. (15 points)
【已刪除】7. Solve the following partial differential equation with given boundary conditions. (15 points)