Mathematical Methods of Physics-Taylor & Laurent Series (CSIR Physical Sciences): Questions 1 - 4 of 6

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Question number: 1

» Mathematical Methods of Physics » Taylor & Laurent Series

Appeared in Year: 2013

MCQ▾

Question

The approximation cosθ1 is valid up to 3 decimal places as long as θ is less than: (take1800π=57.290)

(June)

Choices

Choice (4) Response
a.

4.010

b.

1.810

c.

3.280

d.

1.280

Question number: 2

» Mathematical Methods of Physics » Taylor & Laurent Series

Appeared in Year: 2012

MCQ▾

Question

The first few terms in the Laurent series for 1(z1)(z2) in the region 1 z 2 , and around z=1 is, (June)

Choices

Choice (4) Response
a.

2(z1)+5(z1)2+7(z1)3+

b.

12[1+z+z2+z3+][1+z2+z24+z38+]

c.

1z2[1+1z+1z2+][1+2z+4z2+]

d.

11zz(1z)2+(1z)3

Question number: 3

» Mathematical Methods of Physics » Taylor & Laurent Series

Appeared in Year: 2014

MCQ▾

Question

The Laurent series expansion of the function f(z)=ez+e1z about z=0 is given by, (December)

Choices

Choice (4) Response
a.

n=znn!onlyif z <1

b.

n=0(zn+1zn)1n!forall0< z <

c.

n=znn!forall z <

d.

n=0(zn+1zn)1n!onlyif0< z <1

Question number: 4

» Mathematical Methods of Physics » Taylor & Laurent Series

Appeared in Year: 2012

MCQ▾

Question

The Taylor expansion of the function ln(coshx) , where x is real, about the point x=0 starts with the following terms – (December)

Choices

Choice (4) Response
a.

12x2112x4+

b.

12x2+112x4+

c.

12x2+16x4+

d.

12x2+16x4+

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